Classic three-volume study. Volume 1 covers applications to geometry, expansion in series, definite integrals, and derivatives and differentials. Volume 2 explores functions of a complex variable and differential equations. Volume 3 surveys variations of solutions and partial differential equations of the second order and integral equations and calculus of variations.
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6 of 6 people found the following review helpful:
4.0 out of 5 stars
Classic text of analysis,
By owen (NY United States) - See all my reviews
This review is from: A Course in Mathematical Analysis Volume 1: Derivatives and Differentials; Definite Integrals; Expansion in Series; Applications to Geometry (Dover Books on Mathematics) (Hardcover)
This is a classic analysis text from french mathematician edouard goursat. This books covers topics such as integration, differential equation and multiple integral and etc. The proof are rigorous, and the development of proofs are much more make sense than today's delta-epsilon proofs. You could see the theorems in the book are proved in a much more natural and intellectual way. Of course delta-epsilon could bring you a "rigorous" proof too, but somethimes the development of the proof is just so awkward.
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