The Induction Book (Aurora: Dover Modern Math Originals)

Weintraub, Steven H.

ISBN 10: 0486811999 / ISBN 13: 9780486811994

Published by Dover Publications, 2017

About this Item

The item shows wear from consistent use, but it remains in good condition and works perfectly. All pages and cover are intact including the dust cover, if applicable . Spine may show signs of wear. Pages may include limited notes and highlighting. May NOT include discs, access code or other supplemental materials.

Seller Inventory # BVV.0486811999.G

Bibliographic Details

• Title: The Induction Book (Aurora: Dover Modern Math Originals)
• Publisher: Dover Publications
• Publication Date: 2017
• Language: English
• ISBN 10: 0486811999
• ISBN 13: 9780486811994
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.

About the Author

Steven H. Weintraub is Professor of Mathematics at Lehigh University. He is the author of several books, including Galois Theory, Second Edition, and A Guide to Advanced Linear Algebra.