Описание: Chinese remainder theorem continues to present itself in fresh contexts and open vistas for new types of applications. This book tells about CRT, its background and philosophy, history, generalizations and, most importantly, its applications.
Автор: Ash Avner, Gross Robert Название: Summing It Up: From One Plus One to Modern Number Theory ISBN: 0691170193 ISBN-13(EAN): 9780691170190 Издательство: Wiley Рейтинг: Цена: 3485.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory
We use addition on a daily basis--yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research.
Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series--long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms--the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem.
Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.
-- "Choice"
Автор: Rashed Roshdi Название: Classical Mathematics from Al-Khwarizmi to Descartes ISBN: 0415833884 ISBN-13(EAN): 9780415833882 Издательство: Taylor&Francis Рейтинг: Цена: 24499.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat.
Описание: Matrices offer some of the most powerful techniques in modem mathematics. In the social sciences they provide fresh insights into an astonishing variety of topics. Dominance matrices can show how power struggles in offices or committees develop; Markov chains predict how fast news or gossip will spread in a village; permutation matrices illuminate
Автор: Feng Ye Название: Strict Finitism and the Logic of Mathematical Applications ISBN: 9400736312 ISBN-13(EAN): 9789400736313 Издательство: Springer Рейтинг: Цена: 18866.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Exploring the logic behind applied mathematics to the physical world, this volume illustrates how radical naturalism, nominalism and strict finitism can account for the applications of classical mathematics in current theories about natural phenomena.
Автор: Jairo Jos? da Silva Название: Mathematics and Its Applications ISBN: 3319630725 ISBN-13(EAN): 9783319630724 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
1. The applicability of mathematics in science: a problem?.- 2. Form and Content. Mathematics as a formal science.- 3. Mathematical ontology: what does it mean to exist?.- 4. Mathematical structures: what are they and how do we know them?.- 5. Playing with structures: the applicability of mathematics.- 6. How to use mathematics to find out how the world is.- 7. Logical, epistemological, and philosophical conclusions.
Описание: In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS).
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