| 000 | 03096nam a2200361Ia 4500 | ||
|---|---|---|---|
| 001 | 000011529 | ||
| 003 | WSP | ||
| 005 | 20220711214221.0 | ||
| 007 | cr |uu|||uu||| | ||
| 008 | 191121s2019 si a ob 001 0 eng d | ||
| 040 |
_aWSPC _beng _cWSPC |
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| 020 |
_a9789811209413 _q(ebook) |
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| 020 |
_z9789811209406 _q(hbk.) |
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| 072 | 7 |
_aMAT _x005000 _2bisacsh |
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| 072 | 7 |
_aMAT _x034000 _2bisacsh |
|
| 050 | 0 | 4 |
_aQA300 _b.H36 2019 |
| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aHansen, Vagn Lundsgaard. _921267 |
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| 245 | 1 | 0 |
_aFundamental concepts in modern analysis _h[electronic resource] : _ban introduction to nonlinear analysis / _cVagn Lundsgaard Hansen with Poul G. Hjorth. |
| 250 | _a2nd ed. | ||
| 260 |
_aSingapore : _bWorld Scientific Publishing Co. Pte Ltd., _c©2019. |
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| 300 |
_a1 online resource (304 p.) : _bill. |
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| 538 | _aMode of access: World Wide Web. | ||
| 538 | _aSystem requirements: Adobe Acrobat Reader. | ||
| 588 | _aTitle from title screen (World Scientific, viewed November 22, 2019). | ||
| 504 | _aIncludes bibliographical references and index. | ||
| 520 |
_a"Many applied mathematical disciplines, such as dynamical systems and optimization theory as well as classical mathematical disciplines like differential geometry and the theory of Lie groups, have a common foundation in general topology and multivariate calculus in normed vector spaces. In this book, students from both pure and applied subjects are offered an opportunity to work seriously with fundamental notions from mathematical analysis that are important not only from a mathematical point of view but also occur frequently in the theoretical parts of, for example, the engineering sciences. The book provides complete proofs of the basic results from topology and differentiability of mappings in normed vector spaces. It is a useful resource for students and researchers in mathematics and the many sciences that depend on fundamental techniques from mathematical analysis. In this second edition, the notions of compactness and sequentially compactness are developed with independent proofs for the main results. Thereby the material on compactness is apt for direct applications also in functional analysis, where the notion of sequentially compactness prevails. This edition also covers a new section on partial derivatives, and new material has been incorporated to make a more complete account of higher order derivatives in Banach spaces, including full proofs for symmetry of higher order derivatives and Taylor's formula. The exercise material has been reorganized from a collection of problem sets at the end of the book to a section at the end of each chapter with further results. Readers will find numerous new exercises at different levels of difficulty for practice."-- _cPublisher's website. |
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| 650 | 0 |
_aMathematical analysis. _911486 |
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| 655 | 0 |
_aElectronic books. _93294 |
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| 700 | 1 |
_aHjorth, P. G. _q(Poul G.), _d1930- _921268 |
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| 856 | 4 | 0 |
_uhttps://www.worldscientific.com/worldscibooks/10.1142/11529#t=toc _zAccess to full text is restricted to subscribers. |
| 942 | _cEBK | ||
| 999 |
_c72803 _d72803 |
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