A Course in Advanced Calculus
A Course in Advanced Calculus
A thorough treatment of the portion of analysis that addresses functions of several variables and multiple integrals. The book is self contained, and the background material in the first few chapters is sufficient to enable well motivated students to follow the book without undue difficulties.
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The concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quantitative science. Analysis in Vector Spaces presents the central results of this classic subject through rigorous arguments, discussions, and examples.