Автор: I. Lakatos Название: Proofs and refutations ISBN: 0521290384 ISBN-13(EAN): 9780521290388 Издательство: Cambridge Academ Цена: 23340 T Наличие на складе: Нет в наличии. Описание: Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Автор: I. Lakatos Название: Proofs and refutations ISBN: 0521290384 ISBN-13(EAN): 9780521290388 Издательство: Cambridge Academ Рейтинг: Цена: 23340 T Наличие на складе: Нет в наличии. Описание: Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Автор: Popper, Karl R. Название: Conjectures and refutations ISBN: 0415285941 ISBN-13(EAN): 9780415285940 Издательство: Taylor&Francis Рейтинг: Цена: 15280 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: One of Karl Popper`s most wide-ranging and popular works, it provides the clearest statement of the fundamental idea that guided his work: that our knowledge grows by an unending process of trial and error.
Автор: Roberts Название: Introduction to Mathematical Proofs, Second Edition ISBN: 1482246872 ISBN-13(EAN): 9781482246872 Издательство: Taylor&Francis Рейтинг: Цена: 74120 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.
Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers.
It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs.
This new edition includes more than 125 new exercises in sections titled More Challenging Exercises. Also, numerous examples illustrate in detail how to write proofs and show how to solve problems. These examples can serve as models for students to emulate when solving exercises.
Several biographical sketches and historical comments have been included to enrich and enliven the text. Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It prepares them to succeed in more advanced mathematics courses, such as abstract algebra and analysis.
Автор: K. Kunen Название: Set Theory An Introduction To Independence Proofs, ISBN: 0444868399 ISBN-13(EAN): 9780444868398 Издательство: Elsevier Science Рейтинг: Цена: 44320 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.
Автор: Adriane Rini Название: Aristotle`s Modal Proofs ISBN: 9400734670 ISBN-13(EAN): 9789400734678 Издательство: Springer Рейтинг: Цена: 110330 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Aristotle`s modal syllogistic is his study of patterns of reasoning about necessity and possibility. This volume provides a simple interpretation of Aristotle`s modal syllogistic using standard predicate logic, making it accessible to a wide range of readers.
Автор: Stewart David & Oliveira Suely Название: Building Proofs: A Practical Guide ISBN: 9814641308 ISBN-13(EAN): 9789814641302 Издательство: World Scientific Publishing Рейтинг: Цена: 16670 T 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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