Journey from natural numbers to complex numbers, Shah, Nita H. (gujarat University, India) Vishnuprasad, Thakkar D. (gujarat University, India)
Автор: J?rg Kramer; Anna-Maria von Pippich Название: From Natural Numbers to Quaternions ISBN: 3319694278 ISBN-13(EAN): 9783319694276 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Hamilton's quaternions.
Along the way, the authors carefully develop the necessary concepts and methods from abstract algebra: monoids, groups, rings, fields, and skew fields. Each chapter ends with an appendix discussing related topics from algebra and number theory, including recent developments reflecting the relevance of the material to current research.
The present volume is intended for undergraduate courses in abstract algebra or elementary number theory. The inclusion of exercises with solutions also makes it suitable for self-study and accessible to anyone with an interest in modern algebra and number theory.
Описание: This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory.
Автор: Sara Munday, Marc Kessebohmer, Bernd Otto Stratmann Название: Infinite Ergodic Theory of Numbers ISBN: 3110439417 ISBN-13(EAN): 9783110439410 Издательство: Walter de Gruyter Цена: 9288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued fractions and other number-theoretic dynamical systems as illustrative examples. Contents:PrefaceMathematical symbolsNumber-theoretical dynamical systemsBasic ergodic theoryRenewal theory and ?-sum-level setsInfinite ergodic theoryApplications of infinite ergodic theoryBibliographyIndex
Название: On Numbers and Games 2nd Edition, John H. Conway ISBN: 1568811276 ISBN-13(EAN): 9781568811277 Издательство: Taylor&Francis Рейтинг: Цена: 27562.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes quantum chaos and quantum transport in microscopic billiards. Microscopic billiards are typical dynamical systems in which it is easy to see chaos classically and also to investigate effects of chaos on quantum phenomena. Owing to recent progress in microstructure fabrication technology, quantum chaos can now be studied experimentally rather than only as a sophisticated theory.
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."
Автор: Arakawa Tsuneo Название: Bernoulli Numbers and Zeta Functions ISBN: 4431549188 ISBN-13(EAN): 9784431549185 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The real reason that they are indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers. a formula for Bernoulli numbers by Stirling numbers; congruences between some class numbers and Bernoulli numbers;
Автор: Trifkovic Mak Название: Algebraic Theory of Quadratic Numbers ISBN: 1461477166 ISBN-13(EAN): 9781461477167 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book shows the techniques of elementary arithmetic, ring theory and linear algebra working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. Includes numerous exercises.
Автор: Stanley Название: Catalan Numbers ISBN: 1107075092 ISBN-13(EAN): 9781107075092 Издательство: Cambridge Academ Рейтинг: Цена: 9979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives some basic background and then presents more than 250 exercises and solutions on the properties and applications of these numbers, with difficulty levels ranging from recreational to research.
Автор: Peter Olofsson Название: Probabilities: The Little Numbers That Rule Our Lives ISBN: 1118898907 ISBN-13(EAN): 9781118898901 Издательство: Wiley Рейтинг: Цена: 6486.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Praise for the First Edition If there is anything you want to know, or remind yourself, about probabilities, then look no further than this comprehensive, yet wittily written and enjoyable, compendium of how to apply probability calculations in real-world situations.
Автор: Atanu Sengupta; Tapan Kumar Pal Название: Fuzzy Preference Ordering of Interval Numbers in Decision Problems ISBN: 3642100600 ISBN-13(EAN): 9783642100604 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text studies different real decision situations where problems are defined in inexact environment. It presents the latest research in fuzzy preference ordering of interval numbers and modeling of interval decision problems.
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