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.
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Text: English, German (translation)
About the Author
David Hilbert (1862-1943) received his PhD from the University of K?nigsberg, Prussia (now Kaliningrad, Russia) in 1884. He remained there until 1895, after which he was appointed Professor of Mathematics at the University of G?ttingen. He held this professorship for most of his life. Hilbert is recognized as one of the most influential mathematicians of the 19th and early 20th centuries. His own discoveries alone would have given him that honour, yet it was his leadership in the field of mathematics throughout his later life that distinguishes him. Hilbert's name is given to Infinite-Dimensional space, called Hilbert space, used as a conception for the mathematical analysis of the kinetic gas theory and the theory of radiations.
Richard Courant (1888-1972) obtained his doctorate at the University of G?ttingen in 1910. Here, he became Hilbert?s assistant. He returned to G?ttingen to continue his research after World War I, and founded and headed the university's Mathematical Institute. In 1933, Courant left Germany for England, from whence he went on to the United States after a year. In 1936, he became a professor at the New York University. Here, he headed the Department of Mathematics and was Director of the Institute of Mathematical Sciences - which was subsequently renamed the Courant Institute of Mathematical Sciences. Among other things, Courant is well remembered for his achievement regarding the finite element method, which he set on a solid mathematical basis and which is nowadays the most important way to solve partial differential equations numerically.
Richard Courant (1888-1972) obtained his doctorate at the University of G?ttingen in 1910. Here, he became Hilbert?s assistant. He returned to G?ttingen to continue his research after World War I, and founded and headed the university's Mathematical Institute. In 1933, Courant left Germany for England, from whence he went on to the United States after a year. In 1936, he became a professor at the New York University. Here, he headed the Department of Mathematics and was Director of the Institute of Mathematical Sciences - which was subsequently renamed the Courant Institute of Mathematical Sciences. Among other things, Courant is well remembered for his achievement regarding the finite element method, which he set on a solid mathematical basis and which is nowadays the most important way to solve partial differential equations numerically.
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10 of 11 people found the following review helpful:
5.0 out of 5 stars
state of the art in the 50's,
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This review is from: Methods of Mathematical Physics, Vol. 2 (Paperback)
Beware the german edition is the prewar edition, and the english edition is a
complete overhaul to include modern material at the time. This is not really a textbook, but a sourcebook of "issues" in partial differential equations. Some problems have been forgotten now due to the focussing on real, linear equations and weak solutions (as described, for example, in the books by Hormander). It is a gem for who wants some taste of the full breadth of theory of PDE's.
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This review is from: Methods of Mathematical Physics, Volume Two (vol II) (v 2) : Partial Differential Equations (Hardcover)
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1 of 3 people found the following review helpful:
5.0 out of 5 stars
classical math physics text,
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This review is from: Methods of Mathematical Physics, Vol. 2 (Paperback)
This two volume set is a classic rivaled only by Morse and Feshbach "Methods of Theoretical Physics", vol 1 and 2. It should be a part of the library of any serious student of physics or engineering.
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