Minggu, 31 Januari 2016

## Download PDF Introduction to Lattices and Order, by B. A. Davey, H. A. Priestley

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Introduction to Lattices and Order, by B. A. Davey, H. A. Priestley

Ordered structures have been increasingly recognized in recent years due to an explosion of interest in theoretical computer science and all areas of discrete mathematics. This book covers areas such as ordered sets and lattices. A key feature of ordered sets, one which is emphasized in the text, is that they can be represented pictorially. Lattices are also considered as algebraic structures and hence a purely algebraic study is used to reinforce the ideas of homomorphisms and of ideals encountered in group theory and ring theory. Exposure to elementary abstract algebra and the rotation of set theory are the only prerequisites for this text. For the new edition, much has been rewritten or expanded and new exercises have been added.

  • Sales Rank: #929443 in Books
  • Brand: Brand: Cambridge University Press
  • Published on: 2002-05-06
  • Released on: 2002-04-18
  • Original language: English
  • Number of items: 1
  • Dimensions: 8.98" h x .67" w x 5.98" l, 1.15 pounds
  • Binding: Paperback
  • 312 pages
Features
  • Used Book in Good Condition

Review
"...this second edition merits the same five stars as the first."
Mathematical Reviews


"The book is written in a very engaging and fluid style. The understanding of the content is aided tremendously by the very large number of beautiful lattice diagrams...The book provides a wonderful and accessible introduction to lattice theory, of equal interest to both computer scientists and mathematicians."
Jonathan Cohen, SIGACT News

Most helpful customer reviews

16 of 18 people found the following review helpful.
Excellent introduction and something more
By Ignacio
This book presents an excellent introduction to the subject, but also goes beyond that, presenting with a fair amount of the detail the theory of Priestley representation. The excercises start at the basic level of checking the understanding of definitions, allowing the reader to build confidence out of the practice. The fact that Priestley herself co-authored it is definitely a plus.

28 of 42 people found the following review helpful.
Lattice Theory Uber Alles?Begin here
By galloamericanus
A set with, at minimum, one binary operation is a groupoid. If a situation involves an equivalence relation or some sort of symmetry, some sort of groupoid applies. If the set has, at minimum, two binary operations, and one operation distributes over the other, you have a ringoid. Ringoids, which include the real field we all use every day, tell us much about number systems.

Let there be a groupoid. Denote its single binary operation by concatenation. Let that operation commute and associate. So far, we have a commutative semigroup. Now add idempotency, so that AA=A. With that seemingly trivial axiom we turn a corner, farewell the groupoids, and find ourselves among the semilattices.

Now let there be two binary operations, + and *, that commute and associate. Moreover, assume that A*(A+B) = A = A+(A*B). A*A=A=A+A is now an easy theorem. What you now have is a lattice, of which the best known example is Boolean algebra (which requires added axioms). More generally, most logics can be seen as interpretations of bounded lattices. Given any relation of partial or total order, the corresponding algebra is lattice theory. Nevertheless, far fewer mathematicians specialize in lattices than in groupoids and ringoids.

Davey and Priestley has become the classic introduction to lattice theory in our time. Sad to say, it has little competition. It is a bit harder than I would prefer, and the authors do not say enough about the value of lattice theory for nonclassical logic. Their book is a classic nonetheless, and here's hoping that Gian Carlo Rota was right when he said that the 21st century shall be the century of lattices triumphant.

Lattice theory is largely due to the work of the American Garrett Birkhoff, writing in the 1930s. He gets my vote for the

greatest American mathematician of all time.

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Sabtu, 30 Januari 2016

^ Download Meteors in the Earth's Atmosphere: Meteoroids and Cosmic Dust and their Interactions with the Earth's Upper AtmosphereFrom Brand: Cambri

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Meteors in the Earth's Atmosphere: Meteoroids and Cosmic Dust and their Interactions with the Earth's Upper AtmosphereFrom Brand: Cambri

This book integrates astronomical observations and theories with geophysical studies, presenting a comprehensive overview of the extraterrestrial matter that falls to Earth from space. Meteoroids are the main topic of the book, although cosmic dust, interplanetary matter and meteorites are also discussed. This work is of great value to researchers involved in the study of meteor phenomena.

  • Sales Rank: #4934518 in Books
  • Brand: Brand: Cambridge University Press
  • Published on: 2002-09-23
  • Original language: English
  • Number of items: 1
  • Dimensions: 9.72" h x .87" w x 6.85" l, 1.86 pounds
  • Binding: Hardcover
  • 332 pages
Features
  • Used Book in Good Condition

Most helpful customer reviews

0 of 2 people found the following review helpful.
I love the cover image!
By Tang Wai Kwan
The leonid's fireball cover image is taken by me! But very sadly and disappointed, there is not any acknowledgement written anywhere in the book.

For the content, it is mostly about research on meteor. It is good for researchers, but not for leisure.

Tommy Tang

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Rabu, 27 Januari 2016

>> Ebook Download Using German Vocabulary, by Sarah M. B. Fagan

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Using German Vocabulary, by Sarah M. B. Fagan

This textbook provides a comprehensive and thematically structured vocabulary for undergraduate students of German. Divided into twenty manageable units, it covers vocabulary relating to the physical, social, cultural, economic, and political worlds. Word lists are graded into three levels reflecting difficulty and usefulness, and are accompanied by extensive exercises designed to reinforce work with the lists that is suitable for classroom and private study. Clearly organized and accessible, the volume will meet the needs of a variety of courses in any undergraduate program.

  • Sales Rank: #104560 in Books
  • Brand: Brand: Cambridge University Press
  • Published on: 2004-06-21
  • Original language: English
  • Number of items: 1
  • Dimensions: 9.37" h x 1.26" w x 6.65" l, 2.19 pounds
  • Binding: Paperback
  • 596 pages
Features
  • Used Book in Good Condition

About the Author
Sarah Fagan is Associate Professor of German at the University of Iowa

Most helpful customer reviews

48 of 48 people found the following review helpful.
An extraordinarily well thought out vocabulary book
By Alexandra
There is a good selection of German vocabulary books available on Amazon.com and this is one of the more expensive offerings. It is also without question the best value, going far beyond what I've seen in other vocabulary books. The author is clearly determined that people using her text will be able to develop an excellent grounding in German vocabulary and she has provided a very well-designed vehicle for reaching that goal.

You may well be asking, "What can be special about a vocabulary book? Just a list of categorized words!" Seeming to have anticipated that question, the author has provided a lengthy explanation of how and why the words are grouped as they are - twenty thematic areas with multiple sub-themes, each presented in three progressively more challenging levels - as well as why there are a dozen different kinds of exercises and what each kind is designed to accomplish. All this based on academic research on how people learn foreign languages.

For some, the introductory forty-odd pages will probably be worth the price of the entire book, covering word formation, tips on dictionary use, how best to learn vocabulary, a lengthy bibliography, how the book should be used and equally important, how and why the book is designed as it is. Users of this book benefit from the author's painstaking attention to detail intended to insure that readers develop the skills and knowledge they desire. No one should skip over this introductory material as it will handsomely repay your efforts in more efficient and effective learning.

There are 20 Units covering a wide range of thematic areas, although because a unit may contain more than one subject area there are actually 43 thematic areas (e.g., Unit 7 contains three sub-units, 'Perception', 'Color and Light', 'Materials and Textures'). Each thematic area is broken down into three progressively more challenging Levels. The author was clearly successful in providing an arrangement from which the users of this excellent text will benefit and appreciate ever more as they work more deeply into the material. Words common to southern Germany, Austria, etc. are included and so identified, as are colloquialisms.

Each level in each unit is accompanied by a series of exercises. Exercises are a significant component in vocabulary retention, but seem to have been an afterthought in most German vocabulary books. Not so here as Dr. Fagan has obviously given much thought to the creation of clever, challenging, and varied sets of exercises which strongly reinforce what has been learned. These exercises are the jewel in the crown as they are not lacking in subtlety or thoroughness. As you complete each level and accompanying excercises, you can be confident that you have not just memorized a list of words, but have mastered the German vocabulary.

As I said at the outset, there are many German vocabularies, most of them less expensive. But considering the considerable time and effort required to learn a foreign language, the best tool becomes the least expensive tool and no one who uses this book is going to regret the time saved and the enhanced learning gained by having bought the best tool. Using German Vocabulary certainly seems to be just that - the best tool for the job.

7 of 8 people found the following review helpful.
Best book of German-English vocabulary learning on the market
By GermanStudent
What I like about this book:

In short, Fagan has done the hard yards, looked at the German-English vocabulary lists on the market, found their problems and solved them. The opening chapter on vocab learning, gives very easy and practical tips for learners while backing it up with reference to the relevant literature (she pointed me to the Nation study on vocabulary learning which a lot of learners would benefit from reading). Each chapter is thematic and is broken up into 3 levels. The chapters are well organised, and while the content of the levels could possibly be disputed (perhaps a frequency list would produce some interesting results here), the organisation into 3 levels is without a doubt very useful. Each theme has a varied series of exercises for each level, which even serve to highlight the semantic range of words (for example, in chapter 1, die Kreuzung is learned 'intersection' and one of the exercises instructs the learner to find an extra meaning, which will yield 'crossing' in the sense of ' the crossing of a Dalmatian and a Poodle' and a 'cross' (the result of a biological 'crossing'). This is helpful for learners, and mean that the exercises actually learning new features of words, rather than simply reinforcement. An answers key is given in the back for self-study.

What I dislike abut this book:

The English translations, while almost always excellent, sometimes have an American bent to them. For example, Pfeffermühle is given as 'pepper mill' (where 'pepper grinder' is used in other parts of the world). But overall, the book is hard to fault.

Where to from here:

If you are looking for thematic vocab to learn, this is the book to get. It outdoes any other effort to date. If you don't want to make the cards yourself (and chapter 1 tells you why you need to be using cards, not lists - also, making cards yourself is an important part of the learning process), perhaps look at the Hueber pre-made cards which are good, but are monolingual (chapter 1 also shows you why bilingual cards are the most effective for learning).

5 of 5 people found the following review helpful.
Worth the Price
By Megan
This book is worth the money. I have been studying German independently for the past few months, and this book is already coming in very useful for expanding the amount of words that I can recognize while reading. The vocabulary is organized very efficiently, and it is easy to browse through and increase your knowledge based on the structure of the language.

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Selasa, 26 Januari 2016

? Free PDF Democracy: Volume 17, Part 1 (Social Philosophy and Policy) (Vol 17, Pt.1)From Brand: Cambridge University Press

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  • Sales Rank: #4539348 in Books
  • Brand: Brand: Cambridge University Press
  • Published on: 2000-02-13
  • Released on: 2000-05-04
  • Original language: English
  • Number of items: 1
  • Dimensions: 8.98" h x .71" w x 5.98" l, 1.00 pounds
  • Binding: Paperback
  • 342 pages
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About the Author
Ellen Frankel Paul is Deputy Director of the Social Philosophy and Policy Center and Professor of Political Science at Bowling Green State University.

Miller-Bowling Green State University

Jeffrey Paul is Associate Director of the Social Philosophy and Policy Center and Professor of Philosophy at Bowling Green State University.

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  • Sales Rank: #567739 in Books
  • Brand: Cambridge University Press
  • Published on: 2002-09-02
  • Ingredients: Example Ingredients
  • Original language: English
  • Number of items: 1
  • Dimensions: 9.72" h x 1.06" w x 6.85" l, 1.80 pounds
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  • 520 pages
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Jianguo Liu is an Associate Professor at Michigan State University where he teaches and researches in the areas of landscape ecology and biodiversity conservation.

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South Asia is a rich and fascinating linguistic area, its many hundreds of languages from four major language families representing the distinctions of caste, class, profession, religion, and region. This comprehensive new volume presents an overview of the language situation in this vast subcontinent in a linguistic, historical and sociolinguistic context. An invaluable resource, it comprises authoritative contributions from leading international scholars within the fields of South Asian language and linguistics, historical linguistics, cultural studies and area studies. Topics covered include the ongoing linguistic processes, controversies, and implications of language modernization; the functions of South Asian languages within the legal system, media, cinema, and religion; language conflicts and politics, and Sanskrit and its long traditions of study and teaching. Language in South Asia is an accessible interdisciplinary book for students and scholars in sociolinguistics, multilingualism, language planning and South Asian studies.

  • Sales Rank: #1944361 in Books
  • Brand: Brand: Cambridge University Press
  • Published on: 2008-04-21
  • Original language: English
  • Number of items: 1
  • Dimensions: 8.98" h x 1.46" w x 5.98" l, 2.20 pounds
  • Binding: Paperback
  • 632 pages
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Review
' ... substantial collection of essays, and certainly should not keep curious readers ... from delving into these fascinating studies ... Herman Tull, The Journal of Asian Studies

About the Author
Braj B. Kachru is Center for Advanced Study Professor of Linguistics and Jubilee Professor of Liberal Arts and Sciences Emeritus at the University of Illinois.

Yamuna Kachru is Professor Emerita of Linguistics at the University of Illinois.

S. N. Sridhar is Professor and Chair at the Department of Asian and Asian American Studies, State University of New York at Stony Brook.

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What is time? Every individual will approach the question "what is time" from a different perspective. We find ourselves asking whether time is linear or cyclic, whether it is possible to travel in time, how the experience of the flow of time arises, how our own internal clocks are regulated and how our language captures the temporality of our existence. In this volume, eight eminent researchers explore how investigations in their respective fields impinge on questions about the nature of time. These fields encompass the entire range from the arts and humanities to the natural sciences, mirroring the truly interdisciplinary nature of the subject.

  • Sales Rank: #1372629 in Books
  • Brand: Brand: Cambridge University Press
  • Published on: 2002-07-08
  • Original language: English
  • Number of items: 1
  • Dimensions: 9.72" h x .67" w x 6.85" l, .0 pounds
  • Binding: Hardcover
  • 180 pages
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"Francis Bacon described time 'as the author of authors'; the contributors here are authors of Time. All levels." Choice

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Katinka Ridderbos is a Research Fellow at Darwin College, Cambridge. Her main research interests are the conceptual foundations of statistical mechanics and the problem of the direction of time.

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Insights into the overall nature of Time
By Midwest Book Review
What is time? Nine researchers from different fields explore how investigations in their specialty areas reveal insights into the overall nature of time and its properties - and essays here come from some surprising disciplines, from the arts to natural science. Deftly compiled and expertly edited by Katinka Ridderbos, Time is part of the outstanding "Darwin College Lectures" series from Cambridge University Press. Anticipate scholarly, college-level treatises explaining many of the technical facts surrounding issues of time's properties.

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Jumat, 22 Januari 2016

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Of all the thinkers of the century of genius that inaugurated modern philosophy, none lived an intellectual life more rich and varied than Gottfried Wilhelm Leibniz (1646-1716). Trained as a jurist and employed as a counsellor, librarian, and historian, he made famous contributions to logic, mathematics, physics, and metaphysics, yet viewed his own aspirations as ultimately ethical and theological, and married these theoretical concerns with politics, diplomacy, and an equally broad range of practical reforms: juridical, economic, administrative, technological, medical, and ecclesiastical. Maria Rosa Antognazza's pioneering biography not only surveys the full breadth and depth of these theoretical interests and practical activities, it also weaves them together for the first time into a unified portrait of this unique thinker and the world from which he came. At the centre of the huge range of Leibniz's apparently miscellaneous endeavours, Antognazza reveals a single master project lending unity to his extraordinarily multifaceted life's work. Throughout the vicissitudes of his long life, Leibniz tenaciously pursued the dream of a systematic reform and advancement of all the sciences, to be undertaken as a collaborative enterprise supported by an enlightened ruler; these theoretical pursuits were in turn ultimately grounded in a practical goal: the improvement of the human condition and thereby the celebration of the glory of God in His creation. As well as tracing the threads of continuity that bound these theoretical and practical activities to this all-embracing plan, this illuminating study also traces these threads back into the intellectual traditions of the Holy Roman Empire in which Leibniz lived and throughout the broader intellectual networks that linked him to patrons in countries as distant as Russia and to correspondents as far afield as China.

  • Sales Rank: #1767454 in Books
  • Published on: 2008-10-06
  • Original language: English
  • Number of items: 1
  • Dimensions: 8.98" h x 1.57" w x 5.98" l, 2.20 pounds
  • Binding: Hardcover
  • 652 pages

Review
"This is a magnificent portrait of Leibniz in all his depth and complexity. Antognazza's Leibniz is a philosopher and a mathematician, a diplomat, a theologian, a courtier, an historian and an engineer, but most of all a human being, struggling to realize his grand ambitions. Antognazza has written the biography that we have been awaiting for many years, and it will be the standard account for many years to come."
Daniel Garber, Princeton University


"In my opinion, this is the best intellectual biography of Leibniz ever written. Maria Rosa Antognazza's vivid picture of Leibniz's protean personality and her reliable account of Leibniz's main achievements in the various fields to which he devoted his genius will be easily accessible even to the general reader."
Massimo Mugnai, Scuola Normale Superiore


"The first modern biography, properly wary of anachronism, was published by Gottschalk Guhrauer in 1842, and, dull as it is, it has remained authoritative ever since. Maria Rosa Antognazza's heroic labours mean that Guhrauer can at last be sent back to the stacks: she has re-evaluated all the sources and constructed a lively and thoroughly documented story that is unlikely to be seriously challenged, even on matters of detail."
Jonathan Rée, London Review of Books


"This unsurpassed, sensitive, and accurate picture of Leibniz the universal genius based on a thorough study of the sources and the criticism as well as of the historical contexts deserves to be extolled as a masterpiece. It is an intellectual adventure to read it and get unexpected rich information."
-- Professor Dr. Heinrich Schepers, University of Muenster


"This is a superbly crafted and exhaustively researched account of the development of Leibniz's thought, his ambitious plans and undertakings, his myriad intellectual engagements, and his ceaseless comings and goings across Europe. It captures, accurately and in great detail, the remarkably expansive mind of a singularly creative thinker. It is an extraordinary achievement, for the task of writing an intellectual biography of Leibniz is huge. To read even a portion of what he wrote and read, in the languages in which he wrote and read it, to come to grips with the nuances of religion, politics, and intellectual practice that define his world, and to identify the hundreds of individuals, illustrious and forgotten, with whom he interacted would challenge even the most skilled and dedicated scholar. There is no doubt that Antognazza has met this challenge with a biography that surpasses any available account of Leibniz's life. ... This is a work of unparalleled scholarship that is certain to remain the standard source on its subject for many years to come. It can be read with profit by anyone with an interest in comprehending the breadth and brilliance of Leibniz's philosophical vision."
Donald Rutherford, Journal of the History of Philosophy


" Maria Rosa Antognazza's biography fills, splendidly, one of the major gaps in the literature on Leibniz. It is a magisterial scholarly biography, richly documented with copious citations of the original texts now available. But more than that, it is a narrative that makes psycho-social as well as intellectual sense of Leibniz's life and work as a unified, and largely consistent, whole, despite the great diversity of his projects and intellectual interests, and the frustrating absence of any adequate grand synthesis of Leibniz's thought from his own pen. ... Antognazza's Leibniz biography will long remain an indispensable work for students of "the last universal genius." We will turn, and return, to it for its illuminating placement of so many of his works in their historic contexts, for its diachronic perspectives on many strands in his thought, but most of all for its unequaled portrait of the multifaceted yet very coherent human being who produced the works."
Robert Merrihew Adams, The Leibniz Review


"Maria Rosa Antognazza's book is a meticulously researched and eloquently written biography that will be both an indispensable reference for scholars of Leibniz's thought and the definitive account of his intellectual development for many years to come. Antognazza's considerable achievement is in marshaling a vast range of sources, both published and unpublished, to compose a comprehensive intellectual biography which surveys the incredible scope of Leibniz's intellectual and practical endeavors."
Simon Kow, University of King's College, Canadian Journal of History


"...His contributions to many fields were significant, and in some cases groundbreaking. Thus, a fundamental difficulty faces any Leibnizian biographer, and especially someone seeking to give a reasonably broad account of Leibniz's intellectual interests and contributions: how to convey some sense of the scope and significance of Leibniz's intellectual interests and achievements while maintaining some measure of biographical and chronological coherence. Maria Rosa Antognazza has succeeded admirably in this task and her biography will be a standard reference in Leibnizian studies for years to come. ... Leibniz scholarship stands very much in her debt, and there can be little doubt that this is now the definitive intellectual biography of the seventeenth century's most versatile genius."
Douglas Jesseph, University of South Florida, Intellectual History


""Maria Rosa Antognazza has set herself a truly herculean task: to provide a unifying narrative of Leibniz's life and works. The task is daunting because Leibniz's theoretical and practical projects were unprecedented in scope, covering vast areas of human endeavor ... [I]t is a tribute to Antognazza that she succeeds so well in telling the complex and fascinating story of the life and work of this frenetic genius. A glance at Antognazza's bibliography reveals the astonishing list of primary and secondary sources - in Latin, French, German, and Italian - that she has managed to pull together in constructing her narrative; the result is a scholarly tour de force... I regard her work as a monumental and lasting contribution to Leibniz scholarship, one that will be read by every serious student of Leibniz."
Gregory Brown, University of Houston, Notre Dame Philosophical Reviews


"Competently and judiciously, an intellectual panorama is unfolded which makes this book profitable and interesting reading not only for Leibniz specialists. ... Especially welcome is the fundamental thesis not merely postulated but painstakingly documented in this study: namely, that throughout all his projects, Leibniz pursued a comprehensive and complex plan that united in an unique fashion all of his heterogeneous interests and activities. In this way the author succeeds in demonstrating that Leibniz's proposals and memos -- from the Harz mines to financial and military reforms; his studies in mathematics, physics, and optics, and, finally, all the way through to his reflections in jurisprudence and ethics, -- all converge and are subsumed in his theological and metaphysical system of thought. In Maria Rosa Antognazza's pregnant phrase, 'this deeper dimension consisted of his all-embracing encyclopaedic plan of reform and advancement of the sciences for the promotion of the common good - a plan which he considered a celebration of the glory of God as expressed in the universal harmony governing His creation' (p. 233). In this important study, the last, great Universalgelehrte, as Leibniz is indeed often called, comes into focus and the access to his complex work is greatly facilitated."
Peter Schröder (UCL), H-Soz-u-Kult


"This comprehensive biography has been long desired in the Leibniz community and beyond. ... Antognazza's work admirably takes up this challenge and successfully fills this gap. ...Antognazza's book provides a very rich and wide access to the intellectual development of Leibniz and she is convincing in her thoroughgoing striving to make the unity of his many different activities and ideas visible to us. ... this biography is a must for every Leibniz scholar and every serious library."
Ursula Goldenbaum, The Review of Metaphysics


"Antognazza richly fulfils the reader's hope of having received the definitive intellectual biography of Leibniz for our time. She does this by building gratefully upon her predecessors and having worked through the mountain of finished, half-finished, and only roughly sketched projects that this perpetual-motion machine left as his Nachlass in 1716. She has worked through it all, and has pieced together the embryology and probable date of each work she uncovers."
--Patrick Madigan, Heythrop College, The Heythrop Journal


"The difficulty for historians of philosophy with regard to Leibniz is where to start and how to define. His output both in printed volumes and surviving MSS is enormous. Indeed, it is his hitherto unpublished material which is so important and which the author has used to such good effect in this notable volume. There was hardly a branch of learning in which Leibniz was not interested, informed and involved, from chemistry to linguistics, from publishing to ethics. The sheer breadth of his interests led, after his death, to their being parcelled out to specialists thereby destroying his attempt at a unified understanding and analysis of life and mankind: one of this book's aims is to remind readers of that unified view--'intellectual reunification' is the term used--as well as to discuss its component parts. ... The author is to be heartily congratulated on weaving together in one volume not just the strands of this extraordinary man's life but the myriad aspects of his intellectual world."
Contemporary Review


"In this comprehensive biography, "Antognazza (philosophy of religion, King's College London) delves into the myriad areas that engaged Leibniz, who was trained in law but practiced almost everything else. Rather than divide Leibniz's accomplishments by subject, Antognazza tells her literary history chronologically, thus giving a more rounded picture of the amazing breadth of Leibniz's work. ... Antognazza chronicles this extraordinary life, outlining the contents of many of Leibniz's works and putting him in the context of the politics of his time and his relations with the rulers of the many principalities. This is an impressive work, written in a flowing narrative that even someone not versed in calculus, natural history, theology or philosophy will find enthralling."
Reference and Research Book News


"Maria Rosa Antognazza [is] the author of a monumental intellectual biography of the German Universalgelehrte... Leibniz: An Intellectual Biography fills a real gap in the existing literature on Leibniz. ...The considerable progress in the Leibniz edition and in the critical literature has made a new biography not only desirable but absolutely necessary.... she has written an intellectual biography that is faultless from all points of view and places Leibniz's thought very precisely in the philosophical, scientific, political and theological context of his time. Never falling prey to the two mortal sins of the biographer -psychologistic speculations and romanticized embellishments - the author paints a sober but lively portrait of the German universal genius and of his activities both theoretical and practical. She has been able to integrate in her narrative the most recent research results on almost all the aspects of Leibniz's doctrine, whether these be the most up-to-date debates on the dynamics, the on-going research on sinology, the most technical studies on mathematics and logic, or the research on Leibniz's theology, on which Antognazza herself is one of the great contemporary specialists.... She treats each one of the aspects of Leibniz's doctrine with the same skillfulness and depth. She establishes a delicate and difficult balance between the very different intellectual activities of Leibniz.... Antognazza admirably succeeds where Fontenelle failed: with an unequalled mastery of Leibniz's oeuvre she presents us with a unified narrative of Leibniz's life and 'esprit' without ever cutting a single one of the heads of this hydra amongst the 'honnêtes hommes' of the classical age."
Mogens Laerke, University of Aberdeen, Dialogue: Canadian Philosophical Review

About the Author
Maria Rosa Antognazza is Professor of Philosophy at King's College London. She is the author of Leibniz on the Trinity and the Incarnation: Reason and Revelation in the Seventeenth Century and has contributed to The Cambridge History of Eighteenth-Century Philosophy.

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27 of 28 people found the following review helpful.
A very busy man
By Niklas Anderberg
The German Jesuit and polymath Athanasius Kircher is commonly referred to as "the last man who knew everything." This could just as well be said about Gottfried Wilhelm Leibniz, born 1646 in the city of Leipzig in conservative protestant Saxony. With seemingly boundless energy this prodigy of learning delved into an astonishing array of areas, including theology, philosophy, language, history, physics, and mathematics, as well as developing programs for draining silver mines and the cultivation of silk (something W.G. Sebald apparently missed in his The Rings of Saturn). As with most of his practical schemes, they both failed. On top of this he loved to travel. He spent time in Paris, Berlin and Vienna and visited Italy, England and the Netherlands, where he famously met Spinoza. Despite difference of opinion they kept a respectful epistolary contact. His correspondence was enormous and amounted to a veritable who's who of contemporary thinkers, including Newton himself. The acrimonious battle about who first discovered the calculus plagued Leibniz until the end of his life. Newton, not one to budge, had his foot soldiers stain his adversary's good name, even continuing the war against him "beyond death." Leibniz seems to have been good natured, always seeking reconciliation and striving for ecumenical unity as well as unity of knowledge. In this respect one could perhaps be reminded of Edward O. Wilson. On the other hand, he could drive his employer at the court of Hanover to the brink of despair. Ever finding an excuse to travel abroad, Leibniz seemed unable to finish any of the projects he was engaged in. His history of the Guelf family never hit the presses but when it eventually did, it was clearly a scholarly effort of the first order. Only nobody ever saw it. Even the impressive - and in his lifetime published - Theodicy was a prelude for an even more ambitious endeavor. There will apparently be years still before his entire output is sorted out.
Leibniz was a universal genius alright; still there were a few blind spots. One of them was his lack of interest in the Arts. When visiting Rome and Venice, he didn't spend one word of admiration for the world famous architecture of the two cities. Antognazza offers an explanation: Leibniz was myopic and probably had no eye for his surroundings. This might be so, but one wonders how you could miss the splendors of St. Mark's or St. Peter's; with or without glasses.
The other blind spot concerned women. Leibniz never married and there seems to have been only one opportunity when he was around fifty for a practical arrangement of sorts. Leibniz showed only luke-warm interest. He did, however, entertain platonic friendships with women, preferably princesses or queens. Sophie Charlotte queen of Prussia was one of his best friends and a learned one at that. When his protector in Hanover Sophie von der Pfalz passed away, Leibniz showed the only hint of a crisis in his long life (70). He couldn't work for months and when he eventually resumed, many of his friends were gone and the fight with Newton was at its peak. He spent the remainder of his life plodding away at the court of Hanover and his burial was described as worthy of a "robber." Although this was probably exaggerated, the contrast with Newton's grand burial as the hero of his country was glaring.
Even if Leibniz has in many ways been eclipsed by both Newton and Kant, his legacy is a lasting one. When consulting the Routledge Encyclopedia of Philosophy, Descartes and Spinoza gets 16 pages each, Berkeley 11 and Leibniz earns a full 17 pages. The sheer amount of his energy and optimism is jaw-dropping. Only two years before his death, he sought to become chancellor of Transylvania. "Nothing came of this rather improbable idea" (p. 491), Antognazza sighs downhearted. If alive today, he would probably have been diagnosed with ADHD. Consequently, one has a sense of exhaustion when putting this biography down. For a shorter story one can consult Steven Nadler's The Best of All Possible Worlds, but Maria Rosa Antognazza has delivered an in-depth intellectual biography which despite its scholarly effort succeeds admirably in rendering Leibniz as, well, alive and kicking.

21 of 22 people found the following review helpful.
Great Biography of a Great Philosopher
By Douglas Adamson
This well-written, thoroughly researched biography of Leibniz is essential for the library of anyone interested in Leibniz himself or the intellectual life of the seventeenth century. Author Maria Rosa Antognazza has provided both the professional philosopher and the educated general reader with a gem of a book that succeeds in presenting the remarkable diversity of Leibniz's mind in a smoothly flowing narrative that gives the picture of both a man and an age. Leibniz himself appears as a hard working, personable, slightly eccentric man the equal of any mind in a time of great minds. His brilliance was obvious from youth and he was soon employed in important work and in contact with important people. During his lifetime Christian society was trying to reunite itself after the ideological divisions and wars of the Reformation and the understanding of the physical world was being transformed by the microscope, the telescope and new theories concerning the nature of matter. Leibniz, through his own researches and vast correspondence with the major figures of the day, lived at the heart of these debates. The sure hand of Dr. Antognazza clearly lays out Leibniz's vision of his work: all fields of knowledge form a unity because knowledge reveals the unity of God's creation and should be used for the benefit of mankind. Yet, at the end, one is left with the impression that, despite inventing the infinitesimal calculus and being deeply engaged with the science of his day, Leibniz was the last great polymath of the scholastic world that was slowly being forced to give way to the Cartesian and Newtonian theories he had criticized so vigorously. Nevertheless, Leibniz is one of the great philosophers and Dr. Antognazza's book is one of the great philosophical biographies.

4 of 4 people found the following review helpful.
Polyology
By toronto
What everyone else said. A masterpiece. Exhausting, exhaustive, beautifully written. One can only wonder at the amount of work that went into it, archive upon archive, manuscript upon manuscript, work that doesn't have to be done again for a long long time, if ever (the last full biography was in the 19th century). Apart from the vast array of Leibniziana, the book also illuminates the history of how the House of Hanover ended up on the English throne. On a lighter note, it is simultaneously a very comforting book for all those of us lesser mortals who think up a hundred projects and never quite get them finished.....at least we aren't stuck writing the History of the Este/Guelf/Hanoverians.

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Kamis, 21 Januari 2016

## Get Free Ebook The Math Behind the Music (Outlooks), by Leon Harkleroad

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The Math Behind the Music (Outlooks), by Leon Harkleroad

Mathematics has been used for centuries to describe, analyze, and create music. In this book, Leon Harkleroad explores the math related aspects of music from its acoustical bases to compositional techniques to music criticism, touching on - overtones, scales, and tuning systems - the musical dice game attributed to Mozart and Haydn - the several-hundred-year-old style of bell-playing known as ringing the changes - the twelve-tone school of composition that strongly influenced music throughout the 20th century and many other topics involving mathematical ideas from probability theory to Fourier series to group theory. He also relates some cautionary tales of misguided attempts to mix music and mathematics. Both the mathematical and the musical concepts are described in an elementary way, making the book accessible to general readers as well as to mathematicians and musicians of all levels. The book is accompanied by an audio CD of musical examples.

  • Sales Rank: #5146966 in Books
  • Brand: Brand: Cambridge University Press
  • Published on: 2006-08-14
  • Original language: English
  • Number of items: 1
  • Dimensions: 8.98" h x .67" w x 5.98" l, .0 pounds
  • Binding: Hardcover
  • 158 pages
Features
  • Used Book in Good Condition

Review
"...a text which relates music and mathematics in a manner accessible to many individuals, and provides a bibliography of further readings on each chapter's topics, so the best use of this book may be as a jumping-off point for further examinations of whichever topic interests and individual reader.The Math Behind the Musicdoes not require advanced understanding of either mathematics or music: in fact most of the text could be easily understood by an interested high school student."
Sarah Boslaugh
MAA Reviews


"Leon Harkleroad has written a concise and accessible survey of some of the interesting mathematics of music, and he has done so in a way that requires a minimum of preparation on the reader's part in either music or mathematics."
Gareth Loy, Gareth, Inc.


"The book can be recommended as a first survey. Those who want to know more can find many suggestions for further study in the extensive bibliography. The book addresses readers who do not have much mathematical knowledge. Everything is explained clearly and at great length, and the theoretical facts are illustrated by many pictures, scores, and the tracks on the accompanying CD."
The Mathematical Intelligencer

"The material is very well presented and well explained, it comes with many (musical and mathematical) examples and illustrations (the book even comes with a CD-ROM from which the reader can listen to the musical examples of the book), and many details side aspects, anecdotes and references are provided."
Christian Krattenhaler, Mathematical Reviews

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30 of 32 people found the following review helpful.
Interesting and informative
By Dr. Lee D. Carlson
If one is familiar with the physics of sound, with its accompanying use of sophisticated mathematics, such as Fourier series, partial differential equations, and so on, it is not surprising to learn that some mathematicians have tried to give music theory a mathematical foundation. If one studies the historical record one will find that their efforts go back for centuries, and musicians have used their results to varying degrees of success. Philosophers of aesthetics have also attempted to find formal or mathematical theories of art, and in a few cases have completely embarrassed themselves in doing this, primarily because of their misunderstanding of the mathematics. Mathematics can be a powerful tool, and it continues its domination in science, technology, business, and industry, but it must be used where it is relevant, and not distorted to make it fit a particular scenario. This is not to say that a successful theory of mathematical aesthetics could not be developed. Indeed, it is belief of this reviewer that such a theory could be developed and would encompass music, art, and dance, and would add much to the appreciation of all these areas.

In general this short book gives a good overview of what is and has been done in the systematization and composition of music using mathematics. The author has given enough to wet the reader's appetite for more in-depth coverage by perusing the many references at the end of the book. The mathematics is kept at a very elementary level, making the book more accessible to a general readership (elementary group theory plays a central role). Therefore readers with a more sophisticated mathematical background may be disappointed. Musicians, both amateur and professional, would definitely gain an appreciation of just how mathematics can encapsulate musical compositions, and how indeed these compositions can be created using various mathematical constructions. The accompanying CD is of course helpful since it music must be heard in order to be fully appreciated. The book could also be of assistance to those who are interested in fully automated musical composition such as now being done in some research programs in artificial intelligence (some of this research is discussed briefly in the book). Of course, a machine that was able to use the same reasoning patterns to do mathematics as to compose music would signal a major advance in machine intelligence.

Although the book is not one on music theory, the author realizes the importance of understanding the elementary physics behind musical sounds, as well as the various tonal systems, such as the Pythagorean `circle of fifths'. He discusses these concepts early in the book, making it more self-contained. This is followed by a somewhat detailed overview of how to use group theory to create musical compositions. Towards the end of the book one finds an interesting application of L-systems to musical compositions. The book ends with the author's views on how various approaches to mathematical music have failed or have been too ad hoc to be useful.

1 of 1 people found the following review helpful.
While not as novel as I expected, there is ...
By Frank
While not as novel as I expected, there is more math involved, clearly explained and presented in appropriate scope and sequence.

5 of 15 people found the following review helpful.
Little insight into why music satisfies or communicates
By B. Bush
This well-written book summarizes topics in music theory that correspond to the mathematics and statistics used in engineering and finance.
What it does NOT do, disappointingly, is give much insight into why music communicates and captures emotions. For that, I believe, one must consider music to be a form of language -- different in different cultures, and heard through a filter of our cultural expectations. We enjoy music when it 'plays with' those expectations -- for example, setting up a simple rhythm and then syncopating, or repeating a melody with a twist at the end. The first book I've found that takes on these deeper issues is Aniruddh D Patel, _Music, Language, and the Brain_ (Oxford, 2008), which is far more technical. To be fair to Harkleroad, there are more unanswered questions than simple answers in this field. And Harkleroad does explain well why it's unsatisfying to listen to computer-generated 'white noise' music or to completely repetitive sound-patterns. So, a good book, but not an ear-opener.

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## Get Free Ebook The Math Behind the Music (Outlooks), by Leon Harkleroad Doc

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