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Das Einführungsbuch Steven H. Weintraub Aurora Dover Modern Math Originale Buch-
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Standort: Cypress, Texas, USA
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eBay-Artikelnr.:365780578559
Artikelmerkmale
- Artikelzustand
- Sehr gut
- Hinweise des Verkäufers
- “The book is in very good condition.”
- Book Title
- The Induction Book (Aurora: Dover Modern Math Originals)
- ISBN
- 9780486811994
Über dieses Produkt
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486811999
ISBN-13
9780486811994
eBay Product ID (ePID)
229478922
Product Key Features
Number of Pages
176 Pages
Publication Name
Induction Book
Language
English
Subject
General, Logic
Publication Year
2017
Type
Textbook
Subject Area
Mathematics
Series
Aurora: Dover Modern Math Originals Ser.
Format
Trade Paperback
Dimensions
Item Weight
6.6 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Trade
LCCN
2017-288628
TitleLeading
The
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
511.3/22
Table Of Content
Preface 1. Introducing Induction 2. Problems 3. Theorems Appendix A. Logical Equivalence of the Various forms of Induction Index
Synopsis
Mathematical 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 Number
QA9.54
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