The Induction Book
(eBook)

Book Cover
Average Rating
Published
[Place of publication not identified] : Dover Publications, [2017].
Physical Desc
1 online resource (128 pages)
Status

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Format
eBook
Language
English
ISBN
9780486821238
UPC
9780486821238

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Restrictions on Access
Access limited to subscribing institutions.
Description
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.

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Citations

APA Citation, 7th Edition (style guide)

Weintraub, S. H. (2017). The Induction Book . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Weintraub, Steven H. 2017. The Induction Book. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Weintraub, Steven H. The Induction Book Dover Publications, 2017.

MLA Citation, 9th Edition (style guide)

Weintraub, Steven H. The Induction Book Dover Publications, 2017.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work ID
0bb37573-eb57-bb56-2fdf-13a11f9bbf61-eng
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Grouping Information

Grouped Work ID0bb37573-eb57-bb56-2fdf-13a11f9bbf61-eng
Full titleinduction book
Authorweintraub steven h
Grouping Categorybook
Last Update2024-03-07 02:01:08AM
Last Indexed2024-03-29 02:09:53AM

Book Cover Information

Image Sourcecoce_google_books
First LoadedDec 12, 2023
Last UsedDec 31, 2023

Marc Record

First DetectedSep 03, 2021 09:58:40 AM
Last File Modification TimeJul 05, 2023 02:22:29 PM

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520 |a 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.
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