| 000 | 03325nam a22005295i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-6271-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220801140100.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130417s2013 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461462712 _9978-1-4614-6271-2 |
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| 024 | 7 |
_a10.1007/978-1-4614-6271-2 _2doi |
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| 050 | 4 | _aQA299.6-433 | |
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_aPBK _2bicssc |
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_a515 _223 |
| 100 | 1 |
_aRoss, Kenneth A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _931947 |
|
| 245 | 1 | 0 |
_aElementary Analysis _h[electronic resource] : _bThe Theory of Calculus / _cby Kenneth A. Ross. |
| 250 | _a2nd ed. 2013. | ||
| 264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013. |
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| 300 |
_aXII, 412 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aUndergraduate Texts in Mathematics, _x2197-5604 |
|
| 505 | 0 | _aPreface -- 1 Introduction -- 2 Sequences -- 3 Continuity -- 4 Sequences and Series of Functions -- 5 Differentiation -- 6 Integration -- 7 Capstone -- Appendix on Set Notation -- Selected Hints and Answers -- References -- Index. | |
| 520 | _aFor over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions. Review from the first edition: "This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis.... The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and ... has succeeded admirably." —MATHEMATICAL REVIEWS. | ||
| 650 | 0 |
_aMathematical analysis. _911486 |
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| 650 | 0 |
_aFunctions of real variables. _921094 |
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| 650 | 1 | 4 |
_aAnalysis. _931580 |
| 650 | 2 | 4 |
_aReal Functions. _931948 |
| 710 | 2 |
_aSpringerLink (Online service) _931949 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461462729 |
| 776 | 0 | 8 |
_iPrinted edition: _z9781493901289 |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461462705 |
| 776 | 0 | 8 |
_iPrinted edition: _z9781493999071 |
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_aUndergraduate Texts in Mathematics, _x2197-5604 _931950 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-1-4614-6271-2 |
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