| 000 -LEADER |
|---|
| fixed length control field |
02849cam a2200289 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20190216101644.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
100730s2011 flua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781420093643 (hardcover : alk. paper) |
|
|---|
| International Standard Book Number |
1420093649 (hardcover : alk. paper) |
| 041 ## - Language |
|---|
| Language code of text/sound track or separate title |
eng |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA9.54 |
| Item number |
.G86 2011 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
511.36 |
| Edition number |
22 |
| Item number |
G975 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Gunderson, David S. |
| 9 (RLIN) |
7363 |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Handbook of mathematical induction : |
| Remainder of title |
theory and applications / |
| Statement of responsibility, etc |
David S. Gunderson. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Boca Raton, FL : |
| Name of publisher, distributor, etc |
CRC Press, |
| Date of publication, distribution, etc |
2011. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxv, 893 p. : |
| Other physical details |
ill. ; |
| Dimensions |
27 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| 9 (RLIN) |
8861 |
| Title |
Discrete mathematics and its applications |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and indexes. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
What is mathematical induction? -- Foundations -- Variants of finite mathematical induction -- Inductive techniques applied to the infinite -- Paradoxes and sophisms from induction -- Empirical induction -- How to prove by induction -- The written MI proof -- Identities -- Inequalities -- Number theory -- Sequences -- Sets -- Logic and language -- Graphs -- Recursion and algorithms -- Games and recreations -- Relations and functions -- Linear and abstract algebra -- Geometry -- Ramsey theory -- Probability and statistics. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
"Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics. In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn's lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs. The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized. The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process."--Publisher's description. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Proof theory. |
| 9 (RLIN) |
5374 |
|
|---|
| Topical term or geographic name as entry element |
Induction (Mathematics) |
| 9 (RLIN) |
7364 |
|
|---|
| Topical term or geographic name as entry element |
Logic, Symbolic and mathematical. |
| 9 (RLIN) |
4822 |
|
|---|
| Topical term or geographic name as entry element |
Probabilities. |
| 9 (RLIN) |
248 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
Book |
