Proof Patterns

Mark Joshi

ISBN 10: 3319162497 / ISBN 13: 9783319162492

Published by Springer International Publishing, Springer Nature Switzerland Mär 2015, 2015

About this Item

Neuware -This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that will enable them to learn new proofs across different areas of pure mathematics with ease. The patterns in proofs from diverse fields such as algebra, analysis, topology and number theory are explored. Specific topics examined include game theory, combinatorics and Euclidean geometry, enabling a broad familiarity.The author, an experienced lecturer and researcher renowned for his innovative view and intuitive style, illuminates a wide range of techniques and examples from duplicating the cube to triangulating polygons to the infinitude of primes to the fundamental theorem of algebra. Intended as a companion for undergraduate students, this text is an essential addition to every aspiring mathematician¿s toolkit.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 204 pp. Englisch.

Seller Inventory # 9783319162492

Bibliographic Details

• Title: Proof Patterns
• Publisher: Springer International Publishing, Springer Nature Switzerland Mär 2015
• Publication Date: 2015
• Language: English
• ISBN 10: 3319162497
• ISBN 13: 9783319162492
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that will enable them to learn new proofs across different areas of pure mathematics with ease. The patterns in proofs from diverse fields such as algebra, analysis, topology and number theory are explored. Specific topics examined include game theory, combinatorics and Euclidean geometry, enabling a broad familiarity.

The author, an experienced lecturer and researcher renowned for his innovative view and intuitive style, illuminates a wide range of techniques and examples from duplicating the cube to triangulating polygons to the infinitude of primes to the fundamental theorem of algebra. Intended as a companion for undergraduate students, this text is an essential addition to every aspiring mathematician’s toolkit.

About the Author

Mark Joshi, a leading mathematician in analysis and financial mathematics, published several successful textbooks and over sixty research papers in mathematics. He is known for his innovative viewpoints and intuitive style.