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Paperback. Zustand: Brand New. 2013 edition. 150 pages. 9.00x6.00x0.25 inches. In Stock.

Soft 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.

Paperback. Zustand: Brand New. 281 pages. In Stock.

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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Taschenbuch. Zustand: Neu. Microlocal Methods in Mathematical Physics and Global Analysis | Daniel Grieser (u. a.) | Taschenbuch | ix | Englisch | 2012 | Birkhäuser | EAN 9783034804653 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Paperback. Zustand: Brand New. 309 pages. 10.00x7.00x0.50 inches. In Stock.

Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen  from the 14th to the 18th of June 2011, are collected.¿  .

Zustand: New. Contains the proceedings of two conferences on Inverse Problems and Applications, held in 2012, to celebrate the work of Gunther Uhlmann. The topics covered include inverse problems in medical imaging, scattering theory, geometry and image processing, and the mathematical theory of cloaking, as well as methods related to inverse problems. Editor(s): Stefanov, Plamen; Vasy, Andras; Zworski, Maciej. Series: Contemporary Mathematics. Num Pages: 309 pages, illustrations (black and white). BIC Classification: PBKJ; PBW. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2014. Paperback. . . . . Books ship from the US and Ireland.