Introduction to partial differential equations
Pinchover, Yehuda
Introduction to partial differential equations - 1st ed. - Cambridge: CUP, c2005. - xii, 371p. : ill. ; 24cm.
DescriptionContentsResourcesCoursesAbout the Authors
A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students and extended solution sets are available to lecturers from solutions@cambridge.org.
Many worked examples and exercises, with extended solutions available for lecturers from solutions@cambridge.org
An undergraduate textbook which bridges the gap between introductory and advanced courses on differential equations
Designed for students with a range of abilities
Including appendix, references and index.
9780521613231
Mathematics
Differential Equation
Partial Differential Equations
515.353 / PIN
Introduction to partial differential equations - 1st ed. - Cambridge: CUP, c2005. - xii, 371p. : ill. ; 24cm.
DescriptionContentsResourcesCoursesAbout the Authors
A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students and extended solution sets are available to lecturers from solutions@cambridge.org.
Many worked examples and exercises, with extended solutions available for lecturers from solutions@cambridge.org
An undergraduate textbook which bridges the gap between introductory and advanced courses on differential equations
Designed for students with a range of abilities
Including appendix, references and index.
9780521613231
Mathematics
Differential Equation
Partial Differential Equations
515.353 / PIN
