Differential and Integral Calculus, Volume 2:

“Unlike modern mathematicians who pursue their research apart from engineering or physical applications, Richard Courant was adverse to abstract theories and vague theorems. The topics covered in this set will provide the reader with a solid background to understanding the mathematics of heat conduction, electricity and magnetism, fluid dynamics and elasticity.” –Amazon Review

This book includes not only calculational techniques, but also an introduction to real analysis, good mathematical reasoning, and proof techniques. Courant leads the way straight to useful knowledge, and aims at making the subject easier to grasp, not only by giving proofs step by step, but also by throwing light on the interconnexions and purposes of the whole.

About the Author

Richard Courant was born 8 Jan 1888 in what was then Germany and died on Jan 27, 1972 in New York. His translator, Edward James McShane, was born 10 May 1904 and died in Charlottesville, Virginia on June 1, 1989. Richard Courant (1888 - 1972) was born in Lublinitz, now part of Poland but then in Germany. He studied in G�ttingen, which was for many years the capital of the mathematical world, its most prominent scholar being David Hilbert. Courant became Hilbert's assistant there and wrote a doctoral thesis in 1910 under Hilbert's direction, entitled (in English) "On the application of Dirichlet's principle to the problems of conformal mappings." Fourteen years later they published a joint work, subsequently translated into English as Methods of Mathematical Physics (two volumes, volume 2 published much later). It was based on lectures of Hilbert but even more on Courant's own research. It fortuitously contained much of the mathematics needed to understand and solve Schr�dinger's equations, discovered two years later. This was a striking example of mathematics anticipating the needs of a new physical theory.

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