Verlag: Universities Press, 2020
Anbieter: Vedams eBooks (P) Ltd, New Delhi, Indien
EUR 36,88
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In den WarenkorbSoft cover. Zustand: New. Contents: Preface. 1. Introduction. 2. Where do PDE come from? 3. First order scalar semilinear equations. 4. First order scalar quasilinear equations. 5. Distributions and weak derivatives. 6. Second order constant coefficient PDE: Types and d Alembert s solution of the wave equation. 7. Properties of solutions of second order PDE: Propagation, energy estimates and the maximum principle. 8. The Fourier transform: Basic properties, the inversion formula and the heat equation. 9. The Fourier transform: Tempered distributions, the wave equation and Laplace s equation. 10. PDE and boundaries. 11. Duhamel s principle. 12. Separation of variables. 13. Inner product spaces, symmetric operators, orthogonality. 14. Convergence of the Fourier series and the Poisson formula on disks. 15. Bessel functions. 16. The method of stationary phase. 17. Solvability via duality. 18. Variational problems. Bibliography. Index. This text on partial differential equations is intended for readers who want to understand the theoretical underpinnings of modern PDEs in settings that are important for the applications without using extensive analytic tools required by most advanced texts. The assumed mathematical background is at the level of multivariable calculus and basic metric space material, but the latter is recalled as relevant as the text progresses. The key goal of this book is to be mathematically complete without overwhelming the reader, and to develop PDE theory in a manner that reflects how researchers would think about the material. A concrete example is that distribution theory and the concept of weak solutions are introduced early because while these ideas take some time for the students to get used to, they are fundamentally easy and, on the other hand, play a central role in the field. Then, Hilbert spaces that are quite important in the later development are introduced via completions which give essentially all the features one wants without the overhead of measure theory. There is additional material provided for readers who would like to learn more than the core material, and there are numerous exercises to help solidify one's understanding. The text should be suitable for advanced undergraduates or for beginning graduate students including those in engineering or the sciences.
Verlag: Amer Mathematical Society, 2022
ISBN 10: 1470469839 ISBN 13: 9781470469832
Sprache: Englisch
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In den WarenkorbPaperback. Zustand: Brand New. 281 pages. In Stock.
Verlag: American Mathematical Society Feb 2015, 2015
ISBN 10: 1470469839 ISBN 13: 9781470469832
Sprache: Englisch
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In den WarenkorbTaschenbuch. Zustand: Neu. Neuware.
Verlag: American Mathematical Society, 2022
ISBN 10: 1470469839 ISBN 13: 9781470469832
Sprache: Englisch
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Verlag: American Mathematical Society, 2022
ISBN 10: 1470469839 ISBN 13: 9781470469832
Sprache: Englisch
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Verlag: American Mathematical Society, 2022
ISBN 10: 1470469839 ISBN 13: 9781470469832
Sprache: Englisch
Anbieter: GreatBookPrices, Columbia, MD, USA
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ISBN 10: 1470469839 ISBN 13: 9781470469832
Sprache: Englisch
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ISBN 10: 1470469839 ISBN 13: 9781470469832
Sprache: Englisch
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