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Several Real Variables
Paperback
Series: Springer Undergraduate Mathematics
ISBN13: 9783319279558
Publisher: Springer
Published: Feb 19 2016
Pages: 307
Weight: 1.00
Height: 0.68 Width: 6.14 Depth: 9.21
Language: English
This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as:
-The p-norms on vector space and their equivalence
-The Weierstrass and Stone-Weierstrass approximation theorems
-The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables
-The Implicit Function Theorem for a system of equations, proved via Banach's Fixed Point Theorem
-Applications to Ordinary Differential Equations
-Line integrals and an introduction to surface integrals
This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study.
Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in linear algebra and analysis of one real variable.
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