Methods of Mathematical Physics, Volume 2

Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961. I Introductory Remarks 1

II General Theory of Partial Differential Equations of First Order 62

III Differential Equations of Higher Order 154

IV Potential Theory and Elliptic Differential Equations 240

V Hyperbolic Differential Equations in Two Independent Variables 407

VI Hyperbolic Differential Equations in More than Two Independent Variables 551

Bibliography 790

Index 819