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020 _a9789349750937
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 _a517.95
_bCHO-P
100 _aChoksi, Rustum
245 _aPartial differential equations :
_ba first course
260 _aIndia :
_bUniversities Press,
_c2025.
300 _axxxii, 612 pages :
_billustrations ;
_c26 cm.
490 _aPure and applied undergraduate texts,
_v54
_x1943-9334 ;
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
650 _aPartial differential equations
_xGeneral first-order equations and systems
650 _aPartial differential equations
_xElliptic equations and systems
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
856 _3Reviews
_uhttps://www.goodreads.com/book/show/59201247-partial-differential-equations?ac=1&from_search=true&qid=JBophIUZMm&rank=1#CommunityReviews
942 _2udc
_cN
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_d36044