| 000 | 02734nam a22004215i 4500 | ||
|---|---|---|---|
| 001 | 978-0-85729-192-9 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083712.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 101211s2011 xxk| s |||| 0|eng d | ||
| 020 |
_a9780857291929 _9978-0-85729-192-9 |
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| 024 | 7 |
_a10.1007/978-0-85729-192-9 _2doi |
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| 050 | 4 | _aQA331.5 | |
| 072 | 7 |
_aPBKB _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aMAT037000 _2bisacsh |
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| 082 | 0 | 4 |
_a515.8 _223 |
| 100 | 1 |
_aShirali, Satish. _eauthor. |
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| 245 | 1 | 0 |
_aMultivariable Analysis _h[electronic resource] / _cby Satish Shirali, Harkrishan Lal Vasudeva. |
| 264 | 1 |
_aLondon : _bSpringer London, _c2011. |
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| 300 |
_aV, 393p. 18 illus. _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 |
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| 505 | 0 | _aPreliminaries -- Functions between Euclidean Spaces -- Differentiation -- Inverse and Implicit Function Theorems -- Extrema -- Riemann Integration in Euclidean Space -- The General Stokes Theorem -- Solutions. | |
| 520 | _aThis book provides a rigorous treatment of multivariable differential and integral calculus. Inverse and implicit function theorems based on total derivatives are given and the connection with solving systems of equations is included. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are explained in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Some of the material included is difficult to find in most texts, for example, double sequences in Chapter 2, Schwarz’ Theorem in Chapter 3 and sufficient conditions for constrained extrema in Chapter 5. A wide selection of problems, ranging from simple to challenging, is included with carefully written solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aReal Functions. |
| 700 | 1 |
_aVasudeva, Harkrishan Lal. _eauthor. |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780857291912 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-85729-192-9 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c105155 _d105155 |
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