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_aNISER LIBRARY _beng _cNISER LIBRARY |
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082 |
_a517.95 _bCHO-P |
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100 | _aChoksi, Rustum | ||
245 |
_aPartial differential equations : _ba first course |
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260 |
_aIndia : _bUniversities Press, _c2025. |
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300 |
_axxxii, 612 pages : _billustrations ; _c26 cm. |
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490 |
_aPure and applied undergraduate texts, _v54 _x1943-9334 ; |
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490 | _aThe Sally series | ||
504 | _aIncludes bibliographical references and index. | ||
520 | _aWhile partial differential equations (PDEs) are fundamental in mathematics and throughout the sciences, most undergraduate students are only exposed to PDEs through the method of separation of variations. This text is written for undergraduate students from different cohorts with one sole purpose: to facilitate a proficiency in many core concepts in PDEs while enhancing the intuition and appreciation of the subject. For mathematics students this will in turn provide a solid foundation for graduate study. A recurring theme is the role of concentration as captured by Dirac's delta function. This both guides the student into the structure of the solution to the diffusion equation and PDEs involving the Laplacian and invites them to develop a cognizance for the theory of distributions. Both distributions and the Fourier transform are given full treatment. The book is rich with physical motivations and interpretations, and it takes special care to clearly explain all the technical mathematical arguments, often with pre-motivations and post-reflections. Through these arguments the reader will develop a deeper proficiency and understanding of advanced calculus. While the text is comprehensive, the material is divided into short sections, allowing particular issues/topics to be addressed in a concise fashion. Sections which are more fundamental to the text are highlighted, allowing the instructor several alternative learning paths. The author's unique pedagogical style also makes the text ideal for self-learning. | ||
521 | _aReadership: Undergraduate and graduate students interested in partial differential equations. | ||
650 | _aDifferential equations, Partial. | ||
650 |
_aPartial differential equations _xGeneral topics |
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650 |
_aPartial differential equations _xGeneral first-order equations and systems |
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650 |
_aPartial differential equations _xElliptic equations and systems |
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650 | _aSpectral theory and eigenvalue problems | ||
650 | _aParabolic equations and systems | ||
650 | _aHyperbolic equations and systems | ||
856 |
_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/amstext-54-toc.pdf?_gl=1*2rxd47*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAwNDYzMjQkbzEkZzEkdDE3NTAwNTYxODckajYwJGwwJGgw |
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856 |
_3Reviews _uhttps://www.goodreads.com/book/show/59201247-partial-differential-equations?ac=1&from_search=true&qid=JBophIUZMm&rank=1#CommunityReviews |
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