Differential and Integral Calculus, Vol. 2

6 customer reviews
ISBN-13: 978-0471481737
ISBN-10: 0471481734
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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 Göttingen, 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 Schrödinger's equations, discovered two years later. This was a striking example of mathematics anticipating the needs of a new physical theory. --This text refers to an alternate Paperback edition.
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Product Details

  • Paperback
  • Publisher: John Wiley & Sons Inc (July 2003)
  • Language: English
  • ISBN-10: 0471481734
  • ISBN-13: 978-0471481737
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #15,715,055 in Books (See Top 100 in Books)

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39 of 39 people found the following review helpful By Neal J. King on November 25, 2000
Format: Paperback
I used this book in an Honors Calculus course decades ago, and it's still a useful reference. Unlike most calculus books, this is one from which you can learn real mathematics by self-study. It is not only solid on calculational techniques, but is also an introduction to real analysis, and to good mathematical reasoning and proof technique. Courant was a famous applied mathematician, and he introduced and developed the concepts in a way that is very well motivated and clear (not very common in mathematics texts these days).
Different calculus textbooks will go in and out of fashion as professors try to overcome the poor preparation of their students, but Courant's book will endure as long as there are students who really want to understand thoroughly what they are doing.
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35 of 36 people found the following review helpful By A Customer on October 21, 1998
Format: Paperback
This two volume set on calculus covers many of the mathematical techniques relevant to engineering and science. Courant's treatment of series expansions and uniform convergence is clear and contains good examples. His treatment of extreme values of multi-variable functions and Lagrange multipliers is exceptionally good; it surpasses the explanations given in most modern textbooks. The exposition on multiple integrals and vector integrals is tremendous and, alone, is a compelling reason to get this set. A chapter on the calculus of variations provides a solid introduction to the methods of Lagrangian Dynamics. Unlike modern mathematicians who pursue their research apart from engineering or physical applications, Richard Courant was adverse to abstract theories and vague theroems. Schooled at Gottingen University, under the auspices of David Hilbert and Felix Klein, this two volume set reflects the ethos of a school system that placed a premium on producing useful mathematics. The topics covered in this set will provide the reader with a solid background to understand the mathematics of heat conduction, electricity and magnetism, fluid dynamics and elasticity.
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5 of 7 people found the following review helpful By someonesdad on July 10, 2010
Format: Paperback
I had the usual 1960's ho-hum calculus class suffered through by billions of semi-conscious life forms over the last 200 years. However, when I was a first year grad student, I discovered this book and fell in love with both volumes. It has an honored place on my bookshelf, sitting next to the Feynman Lectures in Physics. These are books you go to for insight and understanding. They'll continue to be in use 100 years from now.
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