Mathematical Induction: A Powerful and Elegant Method of Proof, Titu Andreescu, Vlad Crisan
Автор: Polya G. Название: How to Solve It: A New Aspect of Mathematical Method ISBN: 069116407X ISBN-13(EAN): 9780691164076 Издательство: Wiley Цена: 16440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.
Автор: Nederpelt Название: Type Theory and Formal Proof ISBN: 110703650X ISBN-13(EAN): 9781107036505 Издательство: Cambridge Academ Рейтинг: Цена: 70740.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This book provides a gentle step-by-step introduction in the art of formalizing mathematics on the basis of type theory. It is suitable for a broad audience, ranging from undergraduate students to researchers.
Автор: Chemla Название: The History of Mathematical Proof in Ancient Traditions ISBN: 1107527538 ISBN-13(EAN): 9781107527539 Издательство: Cambridge Academ Рейтинг: Цена: 49630.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This radical volume explores the purposes and nature of proof in a range of historical settings, overturning the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle. It opens the way to providing the first comprehensive, textually based history of proof.
Автор: Negri Название: Proof Analysis ISBN: 1107417236 ISBN-13(EAN): 9781107417236 Издательство: Cambridge Academ Рейтинг: Цена: 44350.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A continuation of the authors` book Structural Proof Theory, one of the basic sources for all students and researchers on logic. Presents a way of extending the proof theory of pure logic to cover mathematical axiomatic theories and systems of philosophical logic.
Автор: Cook Название: Logical Foundations of Proof Complexity ISBN: 1107694116 ISBN-13(EAN): 9781107694118 Издательство: Cambridge Academ Рейтинг: Цена: 61240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the necessary logical background for the material and are suitable for a graduate course. The result is a uniform treatment of many systems in the literature.
Автор: Walton Название: Burden of Proof, Presumption and Argumentation ISBN: 110767882X ISBN-13(EAN): 9781107678828 Издательство: Cambridge Academ Рейтинг: Цена: 26400.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book explains how burden of proof and presumption work as powerful devices in argumentation, based on studying many clearly explained legal and non-legal examples.
Автор: Gunderson Название: Handbook Of Mathematical Induction ISBN: 113819901X ISBN-13(EAN): 9781138199019 Издательство: Taylor&Francis Рейтинг: Цена: 53070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.
In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn's lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs.
The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized.
The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process.
Автор: Denis R. Hirschfeldt, Karen Lange, Richard A. Shore Название: Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem ISBN: 1470426579 ISBN-13(EAN): 9781470426576 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 74850.00 T Наличие на складе: Невозможна поставка. Описание: The authors show that HMT and AMT are indeed equivalent in the sense of reverse mathematics, as well as in a strong computability theoretic sense and do the same for an analogous result of Peretyat`kin giving necessary and sufficient conditions for when a set of types is the type spectrum of some model.
Автор: Hantao Zhang Название: Automated Mathematical Induction ISBN: 9401072507 ISBN-13(EAN): 9789401072502 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: It has been shown how the common structure that defines a family of proofs can be expressed as a proof plan [5]. A proof plan has two complementary components: a proof method and a proof tactic. By prescribing the structure of a proof at the level of primitive inferences, a tactic [11] provides the guarantee part of the proof.
Автор: Mich?le Friend; Norma B. Goethe; Valentina S. Hari Название: Induction, Algorithmic Learning Theory, and Philosophy ISBN: 1402061269 ISBN-13(EAN): 9781402061264 Издательство: Springer Рейтинг: Цена: 181670.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Includes essays that provide engaging surveys of different, complementary, and mutually inspiring approaches to the topic of algorithmic learning theory and the epistemology of science, both from a philosophical and a mathematical viewpoint.
Автор: P.A. Flach; Antonis Hadjiantonis Название: Abduction and Induction ISBN: 0792362500 ISBN-13(EAN): 9780792362500 Издательство: Springer Рейтинг: Цена: 181670.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: From the very beginning of their investigation of human reasoning, philosophers have identified two other forms of reasoning, besides deduction, which is called as abduction and induction. This book addresses the relationship between abduction and induction and their possible integration, and is for philosophers, logicians, and AI researchers.
Автор: Mich?le Friend; Norma B. Goethe; Valentina S. Hari Название: Induction, Algorithmic Learning Theory, and Philosophy ISBN: 9048175445 ISBN-13(EAN): 9789048175444 Издательство: Springer Рейтинг: Цена: 181670.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the first book to collect essays from philosophers, mathematicians and computer scientists working at the exciting interface of algorithmic learning theory and the epistemology of science and inductive inference.
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