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Introduction to Proofs and Proof Strategies, Shay Fuchs


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Цена: 5542.00р.
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При оформлении заказа до: 2025-08-04
Ориентировочная дата поставки: Август-начало Сентября

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Автор: Shay Fuchs
Название:  Introduction to Proofs and Proof Strategies
ISBN: 9781009096287
Издательство: Cambridge Academ
Классификация:

ISBN-10: 1009096281
Обложка/Формат: Paperback
Страницы: 349
Вес: 0.45 кг.
Дата издания: 22.06.2023
Серия: Cambridge mathematical textbooks
Язык: English
Иллюстрации: Worked examples or exercises
Размер: 228 x 151 x 11
Читательская аудитория: General (us: trade)
Ключевые слова: Mathematical foundations, MATHEMATICS / Logic
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: Emphasizing the creative nature of mathematics, this conversational textbook guides students through the process of discovering a proof. The material revolves around possible strategies to approaching a problem without classifying types of proofs or providing proof templates. Instead, it helps students develop the thinking skills needed to tackle mathematics when there is no clear algorithm or recipe to follow. Beginning by discussing familiar and fundamental topics from a more theoretical perspective, the book moves on to inequalities, induction, relations, cardinality, and elementary number theory. The final supplementary chapters allow students to apply these strategies to the topics they will learn in future courses. With its focus on doing mathematics through 200 worked examples, over 370 problems, illustrations, discussions, and minimal prerequisites, this course will be indispensable to first- and second-year students in mathematics, statistics, and computer science. Instructor resources include solutions to select problems.


Proofs 101: An Introduction to Formal Mathematics

Автор: Kirtland Joseph
Название: Proofs 101: An Introduction to Formal Mathematics
ISBN: 0367536935 ISBN-13(EAN): 9780367536930
Издательство: Taylor&Francis
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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.

Types for Proofs and Programs

Автор: Paul Callaghan; Zhaohui Luo; James McKinna; Robert
Название: Types for Proofs and Programs
ISBN: 3540432876 ISBN-13(EAN): 9783540432876
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This text contains the post-proceedings of the International Workshop of the TYPES Working Group held in Durham in December 2000. The 15 revised full papers address significant issues on type theory and type systems and their applications to programming, systems design and proof theory.

Proofs of the Cantor-Bernstein Theorem

Автор: Arie Hinkis
Название: Proofs of the Cantor-Bernstein Theorem
ISBN: 3034807880 ISBN-13(EAN): 9783034807883
Издательство: Springer
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Цена: 13270.00 р.
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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.

Introduction to mathematical proofs

Автор: Loehr, Nicholas A. (virginia Tech, Virginia, Usa)
Название: Introduction to mathematical proofs
ISBN: 0367338238 ISBN-13(EAN): 9780367338237
Издательство: Taylor&Francis
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Цена: 15004.00 р.
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Описание: This book contains an introduction to mathematical proofs, including fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The book is divided into approximately fifty brief lectures. Each lecture corresponds rather closely to a single class meeting.

An Introduction to Mathematical Proofs

Автор: Loehr, Nicholas A.
Название: An Introduction to Mathematical Proofs
ISBN: 1032475226 ISBN-13(EAN): 9781032475226
Издательство: Taylor&Francis
Рейтинг:
Цена: 7195.00 р.
Наличие на складе: Поставка под заказ.

Proofs 101

Автор: Kirtland, Joseph
Название: Proofs 101
ISBN: 0367536811 ISBN-13(EAN): 9780367536817
Издательство: Taylor&Francis
Рейтинг:
Цена: 8114.00 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.

Building Proofs: A Practical Guide

Автор: Stewart David & Oliveira Suely
Название: Building Proofs: A Practical Guide
ISBN: 9814641294 ISBN-13(EAN): 9789814641296
Издательство: World Scientific Publishing
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Цена: 7603.00 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.

Sets, Models and Proofs

Автор: Moerdijk
Название: Sets, Models and Proofs
ISBN: 3319924133 ISBN-13(EAN): 9783319924137
Издательство: Springer
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Цена: 4611.00 р.
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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.

Building Proofs: A Practical Guide

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.

Why Prove it Again?

Автор: Dawson Jr. John W.
Название: Why Prove it Again?
ISBN: 3319173677 ISBN-13(EAN): 9783319173672
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Each chapter that follows provides a detailed case study of alternative proofs for particular theorems, including the Pythagorean Theorem, the Fundamental Theorem of Arithmetic, Desargues` Theorem, the Prime Number Theorem, and the proof of the irreducibility of cyclotomic polynomials.Why Prove It Again?

Science Of Learning Mathematical Proofs, The: An Introductory Course

Автор: Elana Reiser
Название: Science Of Learning Mathematical Proofs, The: An Introductory Course
ISBN: 9811227675 ISBN-13(EAN): 9789811227677
Издательство: World Scientific Publishing
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Цена: 12672.00 р.
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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.

Introduction to Mathematical Structures and Proofs

Автор: Larry J. Gerstein
Название: Introduction to Mathematical Structures and Proofs
ISBN: 1493951467 ISBN-13(EAN): 9781493951468
Издательство: Springer
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Цена: 6282.00 р.
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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.


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