Leseprobe
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Partial Differential Equations
Thomas Hillen, I. E. Leonard, Henry van Roessel, et al.
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Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
Uniquely provides fully solved problems for linear partialdifferential equations and boundary value problems Partial Differential Equations: Theory and Completely SolvedProblems utilizes real-world physical models alongsideessential theoretical concepts. With extensive examples, the bookguides readers through the use of Partial Differential Equations(PDEs) for successfully solving and modeling phenomena inengineering, biology, and the applied sciences. The book focuses exclusively on linear PDEs and how they can besolved using the separation of variables technique. The authorsbegin by describing functions and their partial derivatives whilealso defining the concepts of elliptic, parabolic, and hyperbolicPDEs. Following an introduction to basic theory, subsequentchapters explore key topics including: * Classification of second-order linear PDEs * Derivation of heat, wave, and Laplace'sequations * Fourier series * Separation of variables * Sturm-Liouville theory * Fourier transforms Each chapter concludes with summaries that outline key concepts.Readers are provided the opportunity to test their comprehension ofthe presented material through numerous problems, ranked by theirlevel of complexity, and a related website features supplementaldata and resources. Extensively class-tested to ensure an accessible presentation,Partial Differential Equations is an excellent book forengineering, mathematics, and applied science courses on the topicat the upper-undergraduate and graduate levels.
Rezensionen
"The book gives a vivid description of the theory forsolving linear PDEs. The excellent method, the expensive use ofexamples, and the overview of the existing solutions make the bookvery useful for students and for researchers. It is highlyrecommended."
"Summing Up: Recommended. Upper-division undergraduates,graduate students, and faculty."
Kundenbewertungen
Differentialgleichungen, Mathematik in den Ingenieurwissenschaften, Mathematik, Electrical & Electronics Engineering, Numerische Methoden u. Algorithmen, Mathematics, Numerical Methods & Algorithms, Partielle Differentialgleichung, Elektrotechnik u. Elektronik, Differential Equations, Applied Mathematics in Engineering, Differentialgleichung