An Introduction to Mathematical Proofs, Loehr, Nicholas A.
Автор: John W. Dawson, Jr. Название: Why Prove it Again? ISBN: 3319349678 ISBN-13(EAN): 9783319349671 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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?
Автор: Loehr, Nicholas A. (virginia Tech, Virginia, Usa) Название: Introduction to mathematical proofs ISBN: 0367338238 ISBN-13(EAN): 9780367338237 Издательство: Taylor&Francis Рейтинг: Цена: 15004.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: Shay Fuchs Название: Introduction to Proofs and Proof Strategies ISBN: 1009096281 ISBN-13(EAN): 9781009096287 Издательство: Cambridge Academ Рейтинг: Цена: 5542.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: Dawson Jr. John W. Название: Why Prove it Again? ISBN: 3319173677 ISBN-13(EAN): 9783319173672 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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?
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.
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: B. Sethuraman Название: Proofs and Ideas: A Prelude to Advanced Mathematics ISBN: 1470465140 ISBN-13(EAN): 9781470465148 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 10659.00 р. Наличие на складе: Нет в наличии.
Описание: Proofs and Ideas serves as a gentle introduction to advanced mathematics for students who previously have not had extensive exposure to proofs. It is intended to ease the student's transition from algorithmic mathematics to the world of mathematics that is built around proofs and concepts.The spirit of the book is that the basic tools of abstract mathematics are best developed in context and that creativity and imagination are at the core of mathematics. So, while the book has chapters on statements and sets and functions and induction, the bulk of the book focuses on core mathematical ideas and on developing intuition. Along with chapters on elementary combinatorics and beginning number theory, this book contains introductory chapters on real analysis, group theory, and graph theory that serve as gentle first exposures to their respective areas. The book contains hundreds of exercises, both routine and non-routine.This book has been used for a transition to advanced mathematics courses at California State University, Northridge, as well as for a general education course on mathematical reasoning at Krea University, India.
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.
Автор: Kenneth R. Meyer; Dieter S. Schmidt Название: Computer Aided Proofs in Analysis ISBN: 146139094X ISBN-13(EAN): 9781461390947 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This IMA Volume in Mathematics and its Applications COMPUTER AIDED PROOFS IN ANALYSIS is based on the proceedings of an IMA Participating Institutions (PI) Conference held at the University of Cincinnati in April 1989.
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