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Proof Patterns

Authors: Joshi, Mark

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  • Equips students to recognise proof patterns across fields in pure mathematics
  • Reinforces each technique with end of chapter problems
  • Supports further research with extensive additional reading suggestions
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eBook 32,12 €
price for France (gross)
  • ISBN 978-3-319-16250-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 42,19 €
price for France (gross)
  • ISBN 978-3-319-16249-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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 authors

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.

Reviews

“The book is about how to learn proofs in mathematics. … The book basically intends to teach the reader the basics of how proofs are carried out in several areas of mathematics. … If you are a student and want to learn more about proofs and how proofs are build and used in several areas of mathematics then this book is for you. I hope you enjoy and that you may become a master in proofs!” (Philosophy, Religion and Science, June, 2016)

Table of contents (20 chapters)

Table of contents (20 chapters)

Buy this book

eBook 32,12 €
price for France (gross)
  • ISBN 978-3-319-16250-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 42,19 €
price for France (gross)
  • ISBN 978-3-319-16249-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Proof Patterns
Authors
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-16250-8
DOI
10.1007/978-3-319-16250-8
Softcover ISBN
978-3-319-16249-2
Edition Number
1
Number of Pages
XIII, 190
Number of Illustrations
24 b/w illustrations
Topics