Handbook of mathematical induction : theory and applications (Record no. 38257)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 01933cam a2200193 a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781420093643 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.36 |
| Item number | GUN/H |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Gunderson, David S. |
| 245 10 - TITLE STATEMENT | |
| Title | Handbook of mathematical induction : theory and applications |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Boca Raton, FL : |
| Name of publisher | CRC Press, |
| Year of publication | c2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xxv, 893 p. : |
| Other physical details | ill. ; |
| 490 1# - SERIES STATEMENT | |
| Series statement | Discrete mathematics and its applications |
| 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 | Proof theory |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Induction-Mathematics |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Logic-Symbolic and mathematical |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Probabilities |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BK |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| Lost status | |
| Damaged status | |
| Current library | Kannur University Central Library |
| Collection code | Home library | Shelving location | Date acquired | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|
| Stack | Kannur University Central Library | Stack | 06/02/2016 | 511.36 GUN/H | 37626 | BK |