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E-raamat: Solution Techniques for Elementary Partial Differential Equations 4th edition [Taylor & Francis e-raamat]

(University of Tulsa, Oklahoma, USA)
  • Formaat: 440 pages, 50 Line drawings, black and white; 50 Illustrations, black and white
  • Ilmumisaeg: 10-Aug-2022
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-13: 9781003173045
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  • Taylor & Francis e-raamat
  • Hind: 240,04 €*
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Solution Techniques for Elementary Partial Differential Equations 4th editionSuurem pilt
  • Formaat: 440 pages, 50 Line drawings, black and white; 50 Illustrations, black and white
  • Ilmumisaeg: 10-Aug-2022
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-13: 9781003173045
Teised raamatud teemal:
Taylor & Francis e-raamatudRohkem infot Taylor & Francis e-raamatute kohta
Raamatu kodulehekülg: https://www.taylorfrancis.com/books/9781003173045
"In my opinion, this is quite simply the best book of its kind that I have seen thus far." Professor Peter Schiavone, University of Alberta, from the Foreword to the Fourth Edition

Praise for the previous editions

An ideal tool for students taking a first course in PDEs, as well as for the lecturers who teach such courses." Marian Aron, Plymouth University, UK

"This is one of the best books on elementary PDEs this reviewer has read so far. Highly recommended." CHOICE

Solution Techniques for Elementary Partial Differential Equations, Fourth Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). It provides a streamlined, direct approach to developing students competence in solving PDEs, and offers concise, easily understood explanations and worked examples that enable students to see the techniques in action.

New to the Fourth Edition











Two additional sections A larger number and variety of worked examples and exercises A companion pdf file containing more detailed worked examples to supplement those in the book, which can be used in the classroom and as an aid to online teaching
1. Ordinary Differential Equations: Brief Review. 1.1. First-Order
Equations. 1.2. Homogeneous Linear Equations with Constant Coefficients. 1.3.
Nonhomogeneous Linear Equations with Constant Coefficients. 1.4. CauchyEuler
Equations. 1.5. Functions and Operators.
2. Fourier Series. 2.1. The Full
Fourier Series. 2.2. Fourier Sine and Cosine Series. 2.3. Convergence and
Differentiation. 2.4. Series Expansion of More General Functions.
3.
SturmLiouville Problems. 3.1. Regular SturmLiouville Problems. 3.2. Other
Problems. 3.3. Bessel Functions. 3.4. Legendre Polynomials. 3.5. Spherical
Harmonics.
4. Some Fundamental Equations of Mathematical Physics. 4.1. The
Heat Equation. 4.2 The Laplace Equation. 4.3. The Wave Equation. 4.4. Other
Equations.
5. The Method of Separation of Variables. 5.1. The Heat Equation.
5.2. The Wave Equation. 5.3. The Laplace Equation. 5.4. Other Equations. 5.5.
Equations with More than Two Variables.
6. Linear Nonhomogeneous Problems.
6.1. Equilibrium Solutions. 6.2. Nonhomogeneous Problems.
7. The Method of
Eigenfunction Expansion. 7.1. The Nonhomogeneous Heat Equation. 7.2. The
Nonhomogeneous Wave Equation. 7.3. The Nonhomogeneous Laplace Equation. 7.4.
Other Nonhomogeneous Equations.
8. The Fourier Transformations. 8.1. The Full
Fourier Transformation. 8.2. The Fourier Sine and Cosine Transformations.
8.3. Other Applications.
9. The Laplace Transformation. 9.1. Definition and
Properties. 9.2. Applications.
10. The Method of Green's Functions. 10.1. The
Heat Equation. 10.2. The Laplace Equation. 10.3. The Wave Equation.
11.
General Second-Order Linear Equations. 11.1. The Canonical Form. 11.2.
Hyperbolic Equations. 11.3. Parabolic Equations. 11.4. Elliptic Equations.
11.5. Other Problems.
12. The Method of Characteristics. 12.1. First-Order
Linear Equations. 12.2. First-Order Quasilinear Equations. 12.3. The
One-Dimensional Wave Equation. 12.4. Other Hyperbolic Equations.
13.
Perturbation and Asymptotic Methods. 13.1. Asymptotic Series. 13.2. Regular
Perturbation Problems. 13.3. Singular Perturbation Problems.
14. Complex
Variable Methods. 14.1. Elliptic Equations. 14.2. Systems of Equations.
Appendices.
Christian Constanda, MS, PhD, DSc, is the Charles W. Oliphant Endowed Chair in Mathematical Sciences and director of the Center for Boundary Integral Methods at the University of Tulsa. He is also an emeritus professor at the University of Strathclyde and chairman of the International Consortium on Integral Methods in Science and Engineering. He is the author/editor of more than 30 books and more than 150 journal papers. His research interests include boundary value problems for elastic plates with transverse shear deformation, direct and indirect integral equation methods for elliptic problems and time-dependent problems, and variational methods in elasticity.
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