Science of Learning Mathematical Proofs, The: An Introductory Course, Reiser Elana
Автор: Larry J. Gerstein Название: Introduction to Mathematical Structures and Proofs ISBN: 1493951467 ISBN-13(EAN): 9781493951468 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This updated and revised second edition is designed to help students advance from basic calculus to higher-level linear and abstract algebra and number theory. It introduces an array of fundamental structures and shows how to balance intuition and rigor.
Автор: Srivastava S M Название: Course on Mathematical Logic ISBN: 1461457459 ISBN-13(EAN): 9781461457459 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This extensively revised new edition of the concise introductory text on mathematical logic retains its numerous exercises and applications, but now has a fresh chapter on model theory and new section on topics such as definability and quantifier eliminations.
Автор: David Louvish; R. Fra?ss? Название: Course of Mathematical Logic ISBN: 9027702691 ISBN-13(EAN): 9789027702692 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Michael L. O?€?Leary Название: A First Course in Mathematical Logic and Set Theory ISBN: 0470905883 ISBN-13(EAN): 9780470905883 Издательство: Wiley Рейтинг: Цена: 15357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Rather than teach mathematics and the structure of proofssimultaneously, this book first introduces logic as the foundationof proofs and then demonstrates how logic applies to mathematicaltopics. This method ensures that readers gain a firmunderstanding of how logic interacts with mathematics and empowersthem to solve more complex problems.
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.
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.
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