Proof Patterns
Author:   Mark Joshi
Publisher:   Springer International Publishing AG
Edition:   2015 ed.
ISBN:  

9783319162492


Pages:   190
Publication Date:   30 March 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Our Price $145.17 Quantity:  
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Proof Patterns


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Full Product Details

Author:   Mark Joshi
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2015 ed.
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   3.168kg
ISBN:  

9783319162492


ISBN 10:   3319162497
Pages:   190
Publication Date:   30 March 2015
Audience:   College/higher education ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Induction and complete induction.- Double Counting.- The pigeonhole principle.- Divisions.- Contrapositive and contradiction.- Intersection-enclosure and Generation.- Difference of invariants.- Linear dependence, fields and transcendence.- Formal equivalence.- Equivalence extension.- Proof by classification.- Specific-generality.- Diagonal tricks and cardinality.- Connectedness and the Jordan curve theorem.- The Euler characteristic and the classification of regular polyhedra.- Discharging.- The matching problem.- Games.- Analytical patterns.- Counterexamples.

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)


Author Information

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.

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