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: Hardy, G. H. (formerly Of The University Of Cambridge) Wright, E. M. (formerly Of The University Of Aberdeen) Название: Introduction to the theory of numbers ISBN: 0199219869 ISBN-13(EAN): 9780199219865 Издательство: Oxford Academ Рейтинг: Цена: 6651.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof of Fermat`s Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes.
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: 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.
Автор: Fernando Q Gouv?a Название: p-adic Numbers: An Introduction ISBN: 3030472949 ISBN-13(EAN): 9783030472948 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: There are numbers of all kinds: rational, real, complex, p-adic. This elementary introduction offers a broad understanding of p-adic numbers. From the reviews: "It is perhaps the most suitable text for beginners, and I shall definitely recommend it to anyone who asks me what a p-adic number is."
Описание: This is a book about numbers – what they are as concepts and how and why they originate – as viewed through the material devices used to represent and manipulate them. Fingers, tallies, tokens, and written notations, invented in both ancestral and contemporary societies, explain what numbers are, why they are the way they are, and how we get them. Overmann is the first to explore how material devices contribute to numerical thinking, initially by helping us to visualize and manipulate the perceptual experience of quantity that we share with other species. She explores how and why numbers are conceptualized and then elaborated, as well as the central role that material objects play in both processes. Overmann's volume thus offers a view of numerical cognition that is based on an alternative set of assumptions about numbers, their material component, and the nature of the human mind and thinking.
Автор: Ay?e Alaca; ?aban Alaca; Kenneth S. Williams Название: Advances in the Theory of Numbers ISBN: 1493932004 ISBN-13(EAN): 9781493932009 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory.
Автор: M. Ram Murty; Purusottam Rath Название: Transcendental Numbers ISBN: 1493908316 ISBN-13(EAN): 9781493908318 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text introduces transcendental numbers, focusing on the Schneider-Lang theorem; Baker`s theorem and its applications to the transcendence of special values of L-series; elliptic curve theory; the emerging theory of multiple zeta values and more.
Автор: G.E. Bergum; Andreas N. Philippou; Alwyn F. Horada Название: Applications of Fibonacci Numbers ISBN: 940107352X ISBN-13(EAN): 9789401073523 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of `The Third International Conference on Fibonacci Numbers and Their Applications`, Pisa, Italy, July 25-29, 1988
Автор: Sylvia Forman; Agnes M. Rash Название: The Whole Truth About Whole Numbers ISBN: 3319381423 ISBN-13(EAN): 9783319381428 Издательство: Springer Рейтинг: Цена: 5589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Whole Truth About Whole Numbers is an introduction to the field of Number Theory for students in non-math and non-science majors who have studied at least two years of high school algebra.
Автор: Balakrishnan Jennifer S., Folsom Amanda, Lalнn Matilde Название: Research Directions in Number Theory: Women in Numbers IV ISBN: 3030194809 ISBN-13(EAN): 9783030194802 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Ramanujan graphs in cryptography (A. Costache, B. Feigon, K. Lauter, M. Massierer, A. Puskбs).- Cycles in the supersingular l-isogeny graph and corresponding endomorphisms (E. Bank, C. Camacho-Navarro, K. Eisentraeger, T. Morrison, J. Park).- Chabauty-Coleman experiments for genus 3 curves (J.S. Balakrishnan, F. Bianchi, V. Cantoral-Farfбn, M. Зiperiani, A. Etropolski).- Weierstrass equations for the elliptic fibrations of a K3 surface (O. Lecacheux).- Newton polygons of cyclic covers of the projective line branched at three points (Wanlin Li, Elena Mantovan, Rachel Pries, Yunqing Tang).- Arboreal representations for rational maps with few critical points (J. Juul, H. Krieger, N. Looper, M. Manes, B. Thompson, L. Walton).- Dessins d'enfants for single-cycle Belyi maps (M. Manes, G. Melamed, B. Tobin).- Multiplicative order and Frobenius symbol for the reductions of number fields (A. Perucca).- Quantam modular forms and singular combinatorial series with distinct roots of unity (A. Folsom, M.-J. Jang, S. Kimport, H. Swisher).
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.
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