A broad treatment of important partial differential equations, particularly emphasizing the analytical techniques. In each chapter the author raises various questions concerning the particular equations discussed, treats different methods for tackling these equations, gives applications and examples, and concludes with a list of proposed problems and a relevant bibliography. This new edition has been substantially updated to take account of the new techniques available, making it valuable for students and researchers in mathematics, physics and engineering.
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Editorial Reviews
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From the reviews of the second edition: "The book provides a well chosen collection of analytical solution techniques by applications to a wide class of problems of mathematical physics. It will be useful for the researchers in PDE-s, physicists, engineers and also for students with basic knowledge in vector calculus, ODE-s and PDE-s." (Jeno Hegedus, Acta Scientiarum Mathematicarum, Vol. 71, 2005) "This is the revised and enlarged second edition of a text book on partial differential equations. … the book gives a good overview of a large number of analytic solution techniques for both linear and nonlinear partial differential equations … . In addition, the author always tries to include information on the applications that lead to a particular equation and to use an intuitive approach explaining the mechanisms behind the observed phenomena. … it is definitely an interesting source for both students and teachers." (G. Teschl, Monatshefte für Mathematik, Vol. 133 (4), 2001) "The text presents the classical, analytical techniques used by applied mathematicians, scientist, and engineers to solve problems. … The Kevorkian text is an outstanding treatment of classical PDEs and applications suitable for beginning graduate students in mathematics and applied science. It represents what ‘everyone should know’ about PDE methods … . If I had to recommend a single book to a research engineer who wanted to learn the basic, analytical tools of PDEs … I might select this book." (J. David Logan, SIAM Review, Vol. 42 (3), 2000)
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First Sentence:
Consider a thin axisymmetric rod of some heat-conducting material with variable density p(x) (g/cm3) (for example, a copper-silver alloy with a variable copper/silver ratio along the rod). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
characteristic ground curves, spacelike arc, integral conoid, uniform wave solution, timelike arc, wavemaker displacement, piston curve, bore speed, general hyperbolic equation, centered simple wave, general linear boundary condition, quasilinear problem, bore conditions, generalized asymptotic expansion, centered fan, signaling problem, ambient speed, hodograph plane, characteristic strips, integral conservation law, strict solution, characteristic manifold, divergence relations, strip condition, characteristic independent variables Key Phrases - Capitalized Phrases (CAPs): (learn more)
Korteweg-de Vries, The One-Dimensional Problem, Inhomogeneous Boundary Condition New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Consider a thin axisymmetric rod of some heat-conducting material with variable density p(x) (g/cm3) (for example, a copper-silver alloy with a variable copper/silver ratio along the rod). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
characteristic ground curves, spacelike arc, integral conoid, uniform wave solution, timelike arc, wavemaker displacement, piston curve, bore speed, general hyperbolic equation, centered simple wave, general linear boundary condition, quasilinear problem, bore conditions, generalized asymptotic expansion, centered fan, signaling problem, ambient speed, hodograph plane, characteristic strips, integral conservation law, strict solution, characteristic manifold, divergence relations, strip condition, characteristic independent variables Key Phrases - Capitalized Phrases (CAPs): (learn more)
Korteweg-de Vries, The One-Dimensional Problem, Inhomogeneous Boundary Condition New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 68
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- Wave Propagation in Elastic Solids (North-Holland Series in Applied Mathematics and Mechanics) by Jan Achenbach in Back Matter
- Differential Equations and Dynamical Systems by J.K. Hale in Front Matter
- Differential Equations by HABERMAN in Back Matter
- Waves and Compressible Flow (Texts in Applied Mathematics) by Hilary Ockendon in Back Matter
- Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics) by Aslak Tveito in Front Matter
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- Waves and Compressible Flow (Texts in Applied Mathematics) by Hilary Ockendon in Back Matter (1), and Back Matter (2)
- Random Perturbation Methods by Anatoli V. Skorokhod in Table of Contents, and page
- Robust Control Theory in Hilbert Space (Applied Mathematical Sciences, Vol. 130) by Avraham Feintuch in Front Matter, and Back Matter
- Numerical Methods for Engineering Applications, 2nd Edition by Joel H. Ferziger in Back Matter (1), and Back Matter (2)
- Partial Differential Equations (Applied Mathematical Sciences) (v. 1) by Fritz John in Front Matter, and Back Matter
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