Overview

This book serves as a very good resource and teaching material for anyone who wants to discover the beauty of Induction and its applications, from novice mathematicians to Olympiad-driven students and professors teaching undergraduate courses. The authors explore 10 different areas of mathematics, including topics that are not usually discussed in an Olympiad-oriented book on the subject. Induction is one of the most important techniques used in competitions and its applications permeate almost every area of mathematics.

Full Product Details

Author:   Titu Andreescu ,  Vlad Crisan
Publisher:   XYZ Press
Imprint:   XYZ Press
Weight:   0.758kg
ISBN:  

9780996874595

ISBN 10:   0996874593
Pages:   432
Publication Date:   30 May 2017
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Foreword A Brief Overview of Induction Theory and Examples Introductory Notions Variants of Induction Paradox of Induction Well-Ordering and Transfinite Induction Proposed Problems Sums, Products, and IdentitiesTheory and Examples Proposed Problems Functions and Functional EquationsTheory and Examples Proposed Problems Inequalities Theory and Examples Proposed Problems Sequences and Recurrences Theory and Examples Proposed Problems Number TheoryTheory and Examples ThepandonpuTechnique Divisibility Representations Proposed Problems Combinatorics Theory and Examples Partitions and Configurations Graph Theory Combinatorial Geometry Proposed Problems Games Theory and Examples Proposed Problems Miscellaneous Topics Geometry Examples Proposed Problems Induction in Calculus Examples Proposed Problems Induction in Algebra Examples Proposed Problems Solutions A Brief Overview of InductionSums, Products, and Identities Functions and Functional Equations Inequalities Sequences and Recurrences ContentsNumber Theory Combinatorics Games Miscellaneous Topics Geometry Induction in Calculus Induction in Algebra Notations and Abbreviations BibliographyOther Books from XYZ Press

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