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 1II General Theory of Partial Differential Equations of First Order 62III Differential Equations of Higher Order 154IV Potential Theory and Elliptic Differential Equations 240V Hyperbolic Differential Equations in Two Independent Variables 407VI Hyperbolic Differential Equations in More than Two Independent Variables 551Bibliography 790Index 819
