Автор: Maor Eli Название: Music by the Numbers: From Pythagoras to Schoenberg ISBN: 0691176906 ISBN-13(EAN): 9780691176901 Издательство: Wiley Рейтинг: Цена: 3168.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century
Music is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said "musical form is close to mathematics," while Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen went further, writing music explicitly based on mathematical principles. Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy.
Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics. Other highlights in the book include a comparison between meter in music and metric in geometry, complete with examples of rhythmic patterns from Bach to Stravinsky, and an exploration of a suggestive twentieth-century development: the nearly simultaneous emergence of Einstein's theory of relativity and Schoenberg's twelve-tone system.
Weaving these compelling historical episodes with Maor's personal reflections as a mathematician and lover of classical music, Music by the Numbers will delight anyone who loves mathematics and music.
Автор: Gullberg, Jan Название: Mathematics ISBN: 039304002X ISBN-13(EAN): 9780393040029 Издательство: Wiley Рейтинг: Цена: 9502.00 р. Наличие на складе: Поставка под заказ.
Описание: A gently guided, profusely illustrated Grand Tour of the world of mathematics.
Since the very birth of democracy in ancient Greece, the simple act of voting has given rise to mathematical paradoxes that have puzzled some of the greatest philosophers, statesmen, and mathematicians. Numbers Rule traces the epic quest by these thinkers to create a more perfect democracy and adapt to the ever-changing demands that each new generation places on our democratic institutions. In a sweeping narrative that combines history, biography, and mathematics, George Szpiro details the fascinating lives and big ideas of great minds such as Plato, Pliny the Younger, Ramon Llull, Pierre Simon Laplace, Thomas Jefferson, Alexander Hamilton, John von Neumann, and Kenneth Arrow, among many others. Each chapter in this riveting book tells the story of one or more of these visionaries and the problem they sought to overcome, like the Marquis de Condorcet, the eighteenth-century French nobleman who demonstrated that a majority vote in an election might not necessarily result in a clear winner. Szpiro takes readers from ancient Greece and Rome to medieval Europe, from the founding of the American republic and the French Revolution to today's high-stakes elective politics. He explains how mathematical paradoxes and enigmas can crop up in virtually any voting arena, from electing a class president, a pope, or prime minister to the apportionment of seats in Congress. Numbers Rule describes the trials and triumphs of the thinkers down through the ages who have dared the odds in pursuit of a just and equitable democracy.
Автор: Andrea Br?ard Название: Nine Chapters on Mathematical Modernity ISBN: 3319936948 ISBN-13(EAN): 9783319936949 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book addresses for the first time the dynamics associated with the modernization of mathematics in China from the nineteenth to the mid-twentieth century from a transcultural global historical perspective. Rather than depict the transformations of mathematical knowledge in terms of a process of westernization, the book analyzes the complex interactions between different scientific communities and the ways in which the past, modernity, language, and mathematics were negotiated in a global context. In each chapter, Andrea Br?ard provides vivid portraits of a series of go-betweens (such as translators, educators, or state statisticians) based on a vast array of translated primary sources hitherto unavailable to a non-Chinese readership. They not only illustrate how Chinese scholars mediated between new mathematical objects and discursive modes, but also how they instrumentalized their autochthonous scientific roots in specific political and intellectual contexts. While sometimes technical in style, the book addresses all readers who are interested in the global and cultural history of science and the complexities involved in the making of universal mathematics. “While the pursuit of modernity is in the title, entanglement is of as much interest. Using the famous ‘Nine Chapters’ as a framework, Br?ard considers a wide range of that entanglement from divination to data management. Br?ard’s analysis and thought-provoking insights show once again how much we can learn when two cultures intersect. A fascinating read!” (John Day, Boston University).
Описание: The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will get information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done earlier, which may hide some ideas which could be applied in contemporary research.
Описание: This book presents a novel methodology to study economic texts. The anlaysis also fills a void in the history of mathematics by presenting historians of mathematics a method to study practical texts. In addition, the author shows the importance mathematics has as a tool for ancient practitioners to cope with complex economic processes.
Автор: Kunitzsch, Paul Название: Stars and Numbers ISBN: 1138375683 ISBN-13(EAN): 9781138375680 Издательство: Taylor&Francis Рейтинг: Цена: 7042.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The studies brought together in this second collection of articles by Paul Kunitzsch continue the lines of research evident in his previous volume (The Arabs and the Stars). The Arabic materials discussed stem mostly from the early period of the development of Arabic-Islamic astronomy, up to about 1000AD, while the Latin materials belong to the first stage of Western contact with Arabic science at the end of the 10th century and to the peak of Arabic-Latin translation activity in Spain in the 12th century. The first set of articles focuses upon Ptolemy in the Arabic-Latin tradition, followed by further ones on Arabic astronomy and its reception in the West; the final group looks at details of the transmission of Euclid's Elements.
Автор: Brooks, Michael Название: Maths that made us ISBN: 1913348989 ISBN-13(EAN): 9781913348984 Издательство: TBS/GBS Рейтинг: Цена: 1978.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Comfort food is mouth-watering dishes that warm you up and feed your soul. It`s meltingly tender casseroles, flavourful take-aways, fish and chips, moreish cakes, sticky puddings and more. Healthy eating doesn`t have to mean uninspiring meals and going hungry. Good nutritious food can be (and is in this book!) comforting, filling and delicious too.
Автор: Patras, Frederic Название: Essence of numbers ISBN: 3030566994 ISBN-13(EAN): 9783030566999 Издательство: Springer Рейтинг: Цена: 2794.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: - Introduction. - The Lasting Influence of Pythagorism. - The One and the Multiple. - Mathematics and Reality. - The Third Man Argument. - Numbers and Magnitudes. - Generalized Numbers I. - Generalized Numbers II. - Cantor and Set Theory. - Frege's Logicism. - Set Theory in Frege. - Axioms and Formalisms. - The Brain and Cognitive Processes. - Phenomenology of Numbers. - Universal Phenomena, Algebra, Categories.
Описание: Part 1. Analysis of the Annotations.- 1. The Context of Wittgenstein's Annotations.- 2. Wittgenstein's Non-Extensionalist Point of View.- 3. Irrational Numbers: The Annotations on pp. 2-9, with Commentary.- 4. The Law of the Excluded Middle: A Digression.- 5. The Continuum of Real Numbers: The Annotations on pp. 10-30, with Commentary.- 6. Functions and Limits: The Annotations on pp. 40-47 and 117-121, With Commentary.- Part 2. Applications.- 7. Wittgenstein on Cantor's Diagonal Method (Felix Mьhlhцlzer).- 8. Mьhlhцlzer vs. Putnam on Wittgenstein and the Real Numbers (Juliet Floyd).- Part 3. Images.- 9. Images of Wittgenstein's Annotations to Hardy's A Course of Pure Mathematics.
Автор: Kopp Ekkehard Название: Making up Numbers: A History of Invention in Mathematics ISBN: 180064096X ISBN-13(EAN): 9781800640962 Издательство: Неизвестно Рейтинг: Цена: 10290.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Corry Leo Название: Brief History of Numbers ISBN: 0198702590 ISBN-13(EAN): 9780198702597 Издательство: Oxford Academ Рейтинг: Цена: 6572.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the story behind the idea of number, from the Pythagoreans, up until the turn of the 20th century, through Greek, Islamic & European mathematics.
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