The Practice of Mathematics: An Introduction to Proof Techniques and Number Systems, Clifford Johnston
Автор: Nicholson, Neil R., Название: A transition to proof : ISBN: 0367201577 ISBN-13(EAN): 9780367201579 Издательство: Taylor&Francis Рейтинг: Цена: 93910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The fundamental tool of theoretical mathematics is mathematical proof. Any claim or justification a mathematician makes must be proven. This book is designed for a reader who wants to learn what exactly a mathematical proof is, how they are constructed, and how to go about writing one.
Автор: Calvin Jongsma Название: Introduction to Discrete Mathematics via Logic and Proof ISBN: 3030253570 ISBN-13(EAN): 9783030253578 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Поставка под заказ. Описание: This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades.Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include:Mathematical and structural inductionSet theoryCombinatoricsFunctions, relations, and ordered setsBoolean algebra and Boolean functionsGraph theoryIntroduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.
Автор: Liebeck Martin Название: Concise Introduction to Pure Mathematics ISBN: 149872292X ISBN-13(EAN): 9781498722926 Издательство: Taylor&Francis Рейтинг: Цена: 51030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler's formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions.
New to the Fourth Edition
Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications
New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler's phi function
Numerous new exercises, with solutions to the odd-numbered ones
Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.
Автор: Jun Ge Название: Problems And Solutions In Mathematical Olympiad (Secondary 3) ISBN: 9811229821 ISBN-13(EAN): 9789811229824 Издательство: World Scientific Publishing Рейтинг: Цена: 95040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is edited by the head coaches of China`s IMO National Team.
Автор: Bin Xiong, Zhigang Feng Название: Problems And Solutions In Mathematical Olympiad (High School 1) ISBN: 9811229856 ISBN-13(EAN): 9789811229855 Издательство: World Scientific Publishing Рейтинг: Цена: 126720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is edited by the head coaches of China`s IMO National Team.
Автор: Jun Ge Название: Problems And Solutions In Mathematical Olympiad (Secondary 3) ISBN: 9811231419 ISBN-13(EAN): 9789811231414 Издательство: World Scientific Publishing Рейтинг: Цена: 47520.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is edited by the head coaches of China`s IMO National Team.
Автор: Bin Xiong, Zhigang Feng Название: Problems And Solutions In Mathematical Olympiad (High School 1) ISBN: 9811231427 ISBN-13(EAN): 9789811231421 Издательство: World Scientific Publishing Рейтинг: Цена: 58080.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is edited by the head coaches of China`s IMO National Team.
Автор: Hong-bing Yu Название: Problems And Solutions In Mathematical Olympiad (High School 3) ISBN: 9811231443 ISBN-13(EAN): 9789811231445 Издательство: World Scientific Publishing Рейтинг: Цена: 47520.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is edited by the head coaches of China`s IMO National Team.
Автор: Shi-xiong Liu Название: Problems And Solutions In Mathematical Olympiad (High School 2) ISBN: 9811229880 ISBN-13(EAN): 9789811229886 Издательство: World Scientific Publishing Рейтинг: Цена: 126720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is edited by the head coaches of China`s IMO National Team.
Автор: Hong-bing Yu Название: Problems And Solutions In Mathematical Olympiad (High School 3) ISBN: 9811229910 ISBN-13(EAN): 9789811229916 Издательство: World Scientific Publishing Рейтинг: Цена: 95040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is edited by the head coaches of China`s IMO National Team.
Автор: Eie Minking Название: Theory of Multiple Zeta Values with Applications in Combinat ISBN: 9814472638 ISBN-13(EAN): 9789814472630 Издательство: World Scientific Publishing Цена: 86590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics, and numerous interesting identities are produced that are ready to be used. This will provide a powerful tool to deal with problems in multiple zeta values, both in evaluations and shuffle relations. The volume will benefit graduate students doing research in number theory.
Автор: Kanemitsu Shigeru Название: Number Theory: Arithmetic in Shangri-La ISBN: 9814452440 ISBN-13(EAN): 9789814452441 Издательство: World Scientific Publishing Рейтинг: Цена: 126720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory -- additive problems, divisor problems, Diophantine equations -- to elliptic curves and automorphic L-functions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series.
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