Introduction to mathematical structures and proofs (Record no. 13414)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02130pam a2200205 a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 951002s1996 nyua 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 0387979972 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 510.6 |
| Item number | GER |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Gerstein, Larry J |
| 245 10 - TITLE STATEMENT | |
| Title | Introduction to mathematical structures and proofs |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New York |
| Name of publisher | Springer |
| -- | Jones and Bartlett Publishers |
| Year of publication | 1996 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | x, 350p. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Textbooks in mathematical sciences |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Logic<br/>2. Sets<br/>3. Functions<br/>4. Finite and Infinite Sets<br/>5. Permutations and Combinations<br/>6. Number Theory |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper℗Ư division instructors feel the need to start their courses with the rudiments of logic, set theory, equivalence relations, and other basic mathematical raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried the students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a nontrivial level if they are to achieve the sophisticated blend of knowledge, disci℗Ư pline, and creativity that we call "mathematical maturity." I don't believe that "theorem-proving" can be taught any more than "question-answering" can be taught. Nevertheless, I have found that it is possible to guide stu℗Ư dents gently into the process of mathematical proof in such a way that they become comfortable with the experience and begin asking them℗Ư selves questions that will lead them in the right direction |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Logic, Symbolic and mathematical |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | First Floor, Rack No: 28, Shelf No: 2 | 510.6 GER | 34110 | BOOKS |