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Distributions in the Physical and Engineering Sciences, Volume 2: Linear and Nonlinear Dynamics in Continuous Media (Applied and Numerical Harmonic Analysis) - Hardcover
Synopsis
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis.
Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project which endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations--elliptic, parabolic, and hyperbolic--as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface, and Burger’s equations, KdV equations, and the equations of gas dynamics and porous media are also covered.
The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.
Features
· Application oriented exposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum.
· Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book.
· Clear explanations, motivations, and illustration of all necessary mathematical concepts.
"synopsis" may belong to another edition of this title.
Review
From the reviews:
“The book will be useful to graduate students and researchers who are interested in the applications of distributions and partial differential equations to the applied sciences.” (Denise Huet, zbMATH, Vol. 1283, 2014)
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2013
- ISBN 10 081763942X
- ISBN 13 9780817639426
- BindingHardcover
- LanguageEnglish
- Number of pages433
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DISTRIBUTIONS IN THE PHYSICAL AND ENGINEERING SCIENCES, VOLUME 2
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Distributions in the Physical and Engineering Sciences, Volume 2: Linear and Nonlinear Dynamics in Continuous Media (Applied and Numerical Harmonic Analysis)
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Distributions in the Physical and Engineering Sciences, Volume 2
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Springer New York Sep 2013, 2013
ISBN 10: 081763942X
ISBN 13: 9780817639426
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project which endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations--elliptic, parabolic, and hyperbolic--as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface, and Burger's equations, KdV equations, and the equations of gas dynamics and porous media are also covered. The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. Features Application oriented exposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum. Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. Clear explanations, motivations, and illustration of all necessary mathematical concepts. 436 pp. Englisch. Seller Inventory # 9780817639426
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Distributions in the Physical and Engineering Sciences, Volume 2: Linear and Nonlinear Dynamics in Continuous Media
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Distributions in the Physical and Engineering Sciences, Volume 2 : Linear and Nonlinear Dynamics in Continuous Media
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ISBN 13: 9780817639426
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project which endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations--elliptic, parabolic, and hyperbolic--as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface, and Burger's equations, KdV equations, and the equations of gas dynamics and porous media are also covered. The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. Features Application oriented exposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum. Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. Clear explanations, motivations, and illustration of all necessary mathematical concepts. Seller Inventory # 9780817639426
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