The aim of this text is to aquaint the student with the fundamental classical results of partial differential equations and to guide them into some of the modern theory, enabling them to read more advanced works on the subject
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences.
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 ...
The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added.
This textbook is a self-contained introduction to partial differential equations.It has been designed for undergraduates and first year graduate students majoring in mathematics, physics, engineering, or science.The text provides an ...
Updated throughout, this second edition of a bestseller shows students how PDEs can model diverse problems, including the flow of heat, the propagation of sound waves, the spread of algae along the ocean’s surface, the fluctuation in the ...
Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.
(0-486-47187-X) NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS BY THE FINITE ELEMENT METHOD, CLAES JOHNSON. (0-48646900-X) ADVANCED EUCLIDEAN GEOMETRY, ROGER A. JOHNSON. (0-486-46237-4) (continued on inside back cover) ...
Introduction to the Theory of Linear Partial Differential Equations
This book is an introduction to methods for solving partial differential equations (PDEs).
What is U(v) if s(t) = Vt F1 – 1? . Consider the conservation law b u(x,t) da = #"a t)” – u(b, t)*]+ / g(v) day, d b di J. 1 where g is a discontinuous source term given by g(a) = 1 if a > # and g(x) = C = const if c < #.