About this product

Product Identifiers

PublisherDover Publications, Incorporated

ISBN-100486811999

ISBN-139780486811994

eBay Product ID (ePID)229478922

Product Key Features

Number of Pages176 Pages

LanguageEnglish

Publication NameInduction Book

Publication Year2017

SubjectGeneral, Logic

TypeTextbook

Subject AreaMathematics

AuthorSteven H. Weintraub

SeriesAurora: Dover Modern Math Originals Ser.

FormatTrade Paperback

Dimensions

Item Weight6.6 Oz

Item Length9 in

Item Width6 in

Additional Product Features

Intended AudienceTrade

LCCN2017-288628

Dewey Edition23

TitleLeadingThe

IllustratedYes

Dewey Decimal511.3/22

Table Of ContentPreface 1. Introducing Induction 2. Problems 3. Theorems Appendix A. Logical Equivalence of the Various forms of Induction Index

SynopsisMathematical induction along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle are essential proof techniques. Every mathematician is familiar with mathematical induction, and every student of mathematics requires a grasp of its concepts. This volume provides advanced undergraduates and graduate students with an introduction and a thorough exposure to these proof techniques., Mathematical induction -- along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle -- constitute essential proof techniques. Every mathematician is familiar with mathematical induction, and every student of mathematics requires a grasp of its concepts. This volume provides an introduction and a thorough exposure to these proof techniques. Geared toward students of mathematics at all levels, the text is particularly suitable for courses in mathematical induction, theorem-proving, and problem-solving. The treatment begins with both intuitive and formal explanations of mathematical induction and its equivalents. The next chapter presents many problems consisting of results to be proved by induction, with solutions omitted to enable instructors to assign them to students. Problems vary in difficulty; the majority of them require little background, and the most advanced involve calculus or linear algebra. The final chapter features proofs too complicated for students to find on their own, some of which are famous theorems by well-known mathematicians. For these beautiful and important theorems, the author provides expositions and proofs. The text concludes with a helpful Appendix providing the logical equivalence of the various forms of induction., Every mathematician and student of mathematics needs a familiarity with mathematical induction. This volume provides advanced undergraduates and graduate students with an introduction and a thorough exposure to these proof techniques. 2017 edition.

LC Classification NumberQA9.54