000 | 03450nam a22004695i 4500 | ||
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001 | u371832 | ||
003 | SIRSI | ||
005 | 20160812080150.0 | ||
007 | cr nn 008mamaa | ||
008 | 110214s2011 xxu| s |||| 0|eng d | ||
020 |
_a9781441971272 _9978-1-4419-7127-2 |
||
040 | _cMX-MeUAM | ||
050 | 4 | _aQA8.9-10.3 | |
082 | 0 | 4 |
_a511.3 _223 |
100 | 1 |
_aBloch, Ethan D. _eauthor. |
|
245 | 1 | 0 |
_aProofs and Fundamentals _h[recurso electrónico] : _bA First Course in Abstract Mathematics / _cby Ethan D. Bloch. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2011. |
|
300 |
_aXXVI, 358 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aUndergraduate Texts in Mathematics, _x0172-6056 |
|
505 | 0 | _aPreface to the Second Edition -- Preface to the First Edition -- To the Student -- To the Instructor -- Part I. Proofs -- 1. Informal Logic -- 2. Strategies for Proofs -- Part II. Fundamentals -- 3. Sets -- 4. Functions -- 5. Relations -- 6. Finite and Infinite Sets -- Part III. Extras -- 7. Selected Topics -- 8. Explorations -- Appendix: Properties of Numbers -- Bibliography -- Index. | |
520 | _aThis textbook is designed to introduce undergraduates to the writing of rigorous mathematical proofs, and to fundamental mathematical ideas such as sets, functions, relations, and cardinality. The book serves as a bridge between computational courses such as calculus and more theoretical courses such as linear algebra, abstract algebra, and real analysis. This second edition has been significantly enhanced, while maintaining the balance of topics and careful writing of the previous edition. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences, and suggests avenues for independent student explorations. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. Reviews of the first edition: This is a well-written book, based on very sound pedagogical ideas. It would be an excellent choice as a textbook for a 'transition' course. —Zentralblatt Math 'Proofs and Fundamentals' has many strengths. One notable strength is its excellent organization... There are large exercise sets throughout the book... the exercises are well integrated with the text and vary appropriately from easy to hard... Perhaps the book’s greatest strength is the author’s zeal and skill for helping students write mathematics better. —MAA Online | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aAlgebra. | |
650 | 0 | _aCombinatorics. | |
650 | 0 | _aLogic, Symbolic and mathematical. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aMathematical Logic and Foundations. |
650 | 2 | 4 | _aAlgebra. |
650 | 2 | 4 | _aCombinatorics. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9781441971265 |
830 | 0 |
_aUndergraduate Texts in Mathematics, _x0172-6056 |
|
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7127-2 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c199712 _d199712 |