Partial differential equations : a first course
Material type:
TextSeries: Pure and applied undergraduate texts ; 54 | The Sally seriesPublication details: India : Universities Press, 2025. Description: xxxii, 612 pages : illustrations ; 26 cmISBN: 9789349750937Subject(s): Differential equations, Partial | Partial differential equations -- General topics | Partial differential equations -- General first-order equations and systems | Partial differential equations -- Elliptic equations and systems | Spectral theory and eigenvalue problems | Parabolic equations and systems | Hyperbolic equations and systemsDDC classification: 517.95 Online resources: Table of Contents | Reviews Summary: While 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
NBHM Books
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SMS Library | 517.95 CHO-P (Browse shelf(Opens below)) | Available | N493 |
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| 517.937 CON-C Course in operator theory (a) | 517.937 LED-P Probability in banach spaces | 517.95 BRE-L Lecture notes on functional analysis: with applications to linear partial differential equations | 517.95 CHO-P Partial differential equations : a first course | 517.95 DAV-I introduction to nonlinear differential and integral equation | 517.95 DOL-C Conference on the numerical solution of differential equations | 517.95 EVA-P Partial differential equations |
Includes bibliographical references and index.
While 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.
Readership: Undergraduate and graduate students interested in partial differential equations.
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