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Beginning Partial Differential Equations (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) - Hardcover
Inhaltsangabe
A BROAD INTRODUCTION TO PDES WITH AN EMPHASIS ON SPECIALIZED TOPICS AND APPLICATIONS OCCURRING IN A VARIETY OF FIELDS FEATURING A THOROUGHLY REVISED PRESENTATION OF TOPICS, BEGINNING PARTIAL DIFFERENTIAL EQUATIONS, THIRD EDITION PROVIDES A CHALLENGING, YET ACCESSIBLE, COMBINATION OF TECHNIQUES, APPLICATIONS, AND INTRODUCTORY THEORY ON THE SUBJECTOF PARTIAL DIFFERENTIAL EQUATIONS. THE NEW EDITION OFFERS NONSTANDARD COVERAGEON MATERIAL INCLUDING BURGER S EQUATION, THE TELEGRAPH EQUATION, DAMPED WAVEMOTION, AND THE USE OF CHARACTERISTICS TO SOLVE NONHOMOGENEOUS PROBLEMS. THE THIRD EDITION IS ORGANIZED AROUND FOUR THEMES: METHODS OF SOLUTION FOR INITIAL–BOUNDARY VALUE PROBLEMS; APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS; EXISTENCE AND PROPERTIES OF SOLUTIONS; AND THE USE OF SOFTWARE TO EXPERIMENT WITH GRAPHICS AND CARRY OUT COMPUTATIONS. WITH A PRIMARY FOCUS ON WAVE AND DIFFUSION PROCESSES, BEGINNING PARTIAL DIFFERENTIAL EQUATIONS, THIRD EDITION ALSO INCLUDES: PROOFS OF THEOREMS INCORPORATED WITHIN THE TOPICAL PRESENTATION, SUCH AS THE EXISTENCE OF A SOLUTION FOR THE DIRICHLET PROBLEM THE INCORPORATION OF MAPLE TO PERFORM COMPUTATIONS AND EXPERIMENTS UNUSUAL APPLICATIONS, SUCH AS POE S PENDULUM ADVANCED TOPICAL COVERAGE OF SPECIAL FUNCTIONS, SUCH AS BESSEL, LEGENDRE POLYNOMIALS, AND SPHERICAL HARMONICS FOURIER AND LAPLACE TRANSFORM TECHNIQUES TO SOLVE IMPORTANT PROBLEMS BEGINNING OF PARTIAL DIFFERENTIAL EQUATIONS, THIRD EDITION IS AN IDEAL TEXTBOOK FOR UPPER–UNDERGRADUATE AND FIRST–YEAR GRADUATE–LEVEL COURSES IN ANALYSIS AND APPLIED MATHEMATICS, SCIENCE, AND ENGINEERING.
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Críticas
I enjoyed perusing O Neil s book. A beginner in the field of PDEs will learn quite a number of juicy facts concerning the flow of heat and the transmission of waves. While a next step will undoubtedly involve more rigor in the use of analytic tools, this first course will catch the attention of those with a curiosity for studying physical processes using differential equations. (Mathematical Association of America, 15 February 2015) This book is one of the textbooks that provide an introduction to basic methods and applications of partial differential equations for students of mathematics, physics and engineering. (Zentralblatt MATH, 1 October 2014)
Reseña del editor
A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible, combination of techniques, applications, and introductory theory on the subjectof partial differential equations. The new edition offers nonstandard coverageon material including Burger s equation, the telegraph equation, damped wavemotion, and the use of characteristics to solve nonhomogeneous problems. The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence and properties of solutions; and the use of software to experiment with graphics and carry out computations. With a primary focus on wave and diffusion processes, Beginning Partial Differential Equations, Third Edition also includes: * Proofs of theorems incorporated within the topical presentation, such as the existence of a solution for the Dirichlet problem * The incorporation of Maple to perform computations and experiments * Unusual applications, such as Poe s pendulum * Advanced topical coverage of special functions, such as Bessel, Legendre polynomials, and spherical harmonics * Fourier and Laplace transform techniques to solve important problems Beginning of Partial Differential Equations, Third Edition is an ideal textbook for upper-undergraduate and first-year graduate-level courses in analysis and applied mathematics, science, and engineering.
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- VerlagJohn Wiley & Sons Inc
- Erscheinungsdatum2014
- ISBN 10 1118629949
- ISBN 13 9781118629949
- EinbandTapa dura
- SpracheEnglisch
- Auflage3
- Anzahl der Seiten456
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Hardcover. Zustand: new. Hardcover. A broad introduction to PDEs with an emphasis on specialized topics and applications occurring in a variety of fields Featuring a thoroughly revised presentation of topics, Beginning Partial Differential Equations, Third Edition provides a challenging, yet accessible, combination of techniques, applications, and introductory theory on the subjectof partial differential equations. The new edition offers nonstandard coverageon material including Burgers equation, the telegraph equation, damped wavemotion, and the use of characteristics to solve nonhomogeneous problems. The Third Edition is organized around four themes: methods of solution for initial-boundary value problems; applications of partial differential equations; existence and properties of solutions; and the use of software to experiment with graphics and carry out computations. With a primary focus on wave and diffusion processes, Beginning Partial Differential Equations, Third Edition also includes: Proofs of theorems incorporated within the topical presentation, such as the existence of a solution for the Dirichlet problemThe incorporation of Maple to perform computations and experimentsUnusual applications, such as Poes pendulumAdvanced topical coverage of special functions, such as Bessel, Legendre polynomials, and spherical harmonicsFourier and Laplace transform techniques to solve important problems Beginning of Partial Differential Equations, Third Edition is an ideal textbook for upper-undergraduate and first-year graduate-level courses in analysis and applied mathematics, science, and engineering. Featuring a challenging, yet accessible, introduction to partial differential equations, Beginning Partial Differential Equations provides a solid introduction to partial differential equations, particularly methods of solution based on characteristics, separation of variables, as well as Fourier series, integrals, and transforms. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9781118629949
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