David S. Gunderson

Handbook of Mathematical Induction (eBook, ePUB)

Theory and Applications

• Format: ePub

Produktbeschreibung

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.In the first part of the book, the author discuss

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Erscheinungstermin: 9. Januar 2014
• Englisch
• ISBN-13: 9781040069165
• Artikelnr.: 72519052

Autorenporträt

David S. Gunderson is a professor and chair of the Department of Mathematics at the University of Manitoba in Winnipeg, Canada. He earned his Ph.D. in pure mathematics from Emory University. His research interests include Ramsey theory, extremal graph theory, combinatorial geometry, combinatorial number theory, and lattice theory.

Inhaltsangabe

THEORY: What Is Mathematical Induction?. Foundations. Variants of Finite
Mathematical Induction. Inductive Techniques Applied to the Infinite.
Paradoxes and Sophisms from Induction. Empirical Induction. How to Prove by
Induction. The Written MI Proof. APPLICATIONS AND EXERCISES: Identities.
Inequalities. Number Theory. Sequences. Sets. Logic and Language. Graphs.
Recursion and Algorithms. Games and Recreations. Relations and Functions.
Linear and Abstract Algebra. Geometry. Ramsey Theory. Probability and
Statistics. SOLUTIONS AND HINTS TO EXERCISES. APPENDICES. References.
Index.