Proofs and Ideas: A Prelude to Advanced Mathematics, B. Sethuraman
Автор: Lakatos Название: Proofs and Refutations ISBN: 1107534054 ISBN-13(EAN): 9781107534056 Издательство: Cambridge Academ Рейтинг: Цена: 3326.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Imre Lakatos`s influential and enduring work on the nature of mathematic discovery and development continues to be relevant to philosophers of mathematics. Including a specially commissioned preface written by Paolo Mancosu, and presented in a fresh twenty-first-century series livery, it is now available for a new generation of readers.
Автор: Stillwell John Название: Reverse Mathematics: Proofs from the Inside Out ISBN: 0691196419 ISBN-13(EAN): 9780691196411 Издательство: Wiley Рейтинг: Цена: 2850.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The first book surveying the history and ideas behind reverse mathematics
Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In Reverse Mathematics, John Stillwell offers a historical and representative view, emphasizing basic analysis and giving a novel approach to logic. By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.
Автор: Garnier, Rowan Название: Discrete Mathematics ISBN: 1439812802 ISBN-13(EAN): 9781439812808 Издательство: Taylor&Francis Рейтинг: Цена: 15312.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text makes a great supplement and provides a systematic approach for teaching undergraduate and graduate students how to read, understand, think about, and do proofs.
Описание: Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness.
Описание: College students struggle with the switch from thinking of mathematics as a calculation based subject to a problem solving based subject. This book describes how the introduction to proofs course can be taught in a way that gently introduces students to this new way of thinking. This introduction utilizes recent research in neuroscience regarding how the brain learns best. Rather than jumping right into proofs, students are first taught how to change their mindset about learning, how to persevere through difficult problems, how to work successfully in a group, and how to reflect on their learning. With these tools in place, students then learn logic and problem solving as a further foundation.Next various proof techniques such as direct proofs, proof by contraposition, proof by contradiction, and mathematical induction are introduced. These proof techniques are introduced using the context of number theory. The last chapter uses Calculus as a way for students to apply the proof techniques they have learned.
Автор: Arie Hinkis Название: Proofs of the Cantor-Bernstein Theorem ISBN: 3034807880 ISBN-13(EAN): 9783034807883 Издательство: Springer Рейтинг: Цена: 13270.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This `excursion` through the evolution of research mathematics takes in some 40 papers, published up to the 1970s, on proofs of the Cantor-Bernstein theorem. It provides a detailed example of proof-processing in the derivation of Bernstein`s division theorem.
Автор: Dzhafarov Название: Reverse Mathematics ISBN: 3031113667 ISBN-13(EAN): 9783031113666 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Reverse mathematics studies the complexity of proving mathematical theorems and solving mathematical problems.
Автор: Moerdijk Название: Sets, Models and Proofs ISBN: 3319924133 ISBN-13(EAN): 9783319924137 Издательство: Springer Рейтинг: Цена: 4611.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory.
Автор: Kirtland Joseph Название: Proofs 101: An Introduction to Formal Mathematics ISBN: 0367536935 ISBN-13(EAN): 9780367536930 Издательство: Taylor&Francis Рейтинг: Цена: 22202.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and Linear Algebra. It prepares students for the proofs they will need to analyse and write, the axiomatic nature of mathematics, and the rigors of upper-level mathematics courses.
Автор: Branislav Kisacanin Название: Mathematical Problems and Proofs ISBN: 1475771428 ISBN-13(EAN): 9781475771428 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm.
Автор: Stewart David & Oliveira Suely Название: Building Proofs: A Practical Guide ISBN: 9814641308 ISBN-13(EAN): 9789814641302 Издательство: World Scientific Publishing Рейтинг: Цена: 3168.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level.
Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard "moves" in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.
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