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Sinopsis
This self-contained text is directed to graduate students with some previous exposure to classical partial differential equations. Readers can attain a quick familiarity with various abstract points of view in partial differential equations, allowing them to read the literature and begin thesis work. The author's detailed presentation requires no prior knowledge of many mathematical subjects and illustrates the methods' applicability to the solution of interesting differential problems.
The treatment emphasizes existence-uniqueness theory as a topic in functional analysis and examines abstract evolution equations and ordinary differential equations with operator coefficients. A concluding chapter on global analysis develops some basic geometrical ideas essential to index theory, overdetermined systems, and related areas. In addition to exercises for self-study, the text features a thorough bibliography. Appendixes cover topology and fixed-point theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory.
The treatment emphasizes existence-uniqueness theory as a topic in functional analysis and examines abstract evolution equations and ordinary differential equations with operator coefficients. A concluding chapter on global analysis develops some basic geometrical ideas essential to index theory, overdetermined systems, and related areas. In addition to exercises for self-study, the text features a thorough bibliography. Appendixes cover topology and fixed-point theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory.
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Acerca del autor
Robert W. Carroll is Professor of Mathematics, University of Illinois at Urbana-Champagne, and the author of a dozen books on mathematics and mathematical physics. His recent publications include On the Emergence Theme of Physics (World Scientific, 2010), Fluctuations, Information, Gravity and the Quantum Potential (Springer, 2006), and Calculus Revisited (Kluwer, 2003)."Sobre este título" puede pertenecer a otra edición de este libro.
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Abstract Methods in Partial Differential Equations (Dover Books on Mathematics)
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Abstract Methods in Partial Differential Equations
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Abstract Methods in Partial Differential Equations
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Abstract Methods in Partial Differential Equations (Dover Books on Mathematics)
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Abstract Methods in Partial Differential Equations
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Abstract Methods in Partial Differential Equations
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Dover Publications, 2012
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ISBN 13: 9780486488356
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Abstract Methods in Partial Differential Equations
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Taschenbuch. Condición: Neu. Neuware - Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 edition. Nº de ref. del artículo: 9780486488356
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Abstract Methods in Partial Differential Equations
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Condición: New. Über den AutorRobert W. Carroll is Professor of Mathematics, University of Illinois at Urbana-Champagne, and the author of a dozen books on mathematics and mathematical physics. His recent publications include On the Emergence Th. Nº de ref. del artículo: 594715346
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Abstract Methods in Partial Differential Equations (Paperback)
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Paperback. Condición: new. Paperback. This self-contained text is directed to graduate students with some previous exposure to classical partial differential equations. Readers can attain a quick familiarity with various abstract points of view in partial differential equations, allowing them to read the literature and begin thesis work. The author's detailed presentation requires no prior knowledge of many mathematical subjects and illustrates the methods' applicability to the solution of interesting differential problems.The treatment emphasizes existence-uniqueness theory as a topic in functional analysis and examines abstract evolution equations and ordinary differential equations with operator coefficients. A concluding chapter on global analysis develops some basic geometrical ideas essential to index theory, overdetermined systems, and related areas. In addition to exercises for self-study, the text features a thorough bibliography. Appendixes cover topology and fixed-point theory in addition to Banach algebras, analytic functional calculus, fractional powers of operators, and interpolation theory. Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 edition. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Nº de ref. del artículo: 9780486488356
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