โ Scribed by Yehuda Pinchover, Jacob Rubinstein
No coin nor oath required. For personal study only.
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 [email protected].
๐ SIMILAR VOLUMES
Partial Differential Equations (pdes) Are Fundamental To The Modeling Of Natural Phenomena, Arising In Every Field Of Science. Consequently, The Desire To Understand The Solutions Of These Equations Has Always Had A Prominent Place In The Efforts Of Mathematicians; It Has Inspired Such Diverse Field
Partial Differential Equations (pdes) Are Fundamental To The Modeling Of Natural Phenomena, Arising In Every Field Of Science. Consequently, The Desire To Understand The Solutions Of These Equations Has Always Had A Prominent Place In The Efforts Of Mathematicians; It Has Inspired Such Diverse Field