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Inhaltsangabe
This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.
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This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.
Reseña del editor
Providing a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations, this book clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.
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GUIDE TO DISTRIBUTION THEORY AND FOURIER TRANSFORMS, A
Verlag:
World Scientific Pub Co Inc, 2003
ISBN 10: 9812384219
ISBN 13: 9789812384218
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GUIDE TO DISTRIBUTION THEORY AND FOURIER TRANSFORMS, A
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ISBN 10: 9812384219
ISBN 13: 9789812384218
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GUIDE TO DISTRIBUTION THEORY AND FOURIER TRANSFORMS, A
Verlag:
World Scientific Pub Co Inc, 2003
ISBN 10: 9812384219
ISBN 13: 9789812384218
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Guide To Distribution Theory And Fourier Transforms, A
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ISBN 13: 9789812384218
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Guide to Distribution Theory and Fourier Transforms
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World Scientific Pub Co Inc, 2003
ISBN 10: 9812384219
ISBN 13: 9789812384218
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