Several Real Variables
Shmuel Kantorovitz
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Description for Several Real Variables
Paperback. Series: Springer Undergraduate Mathematics Series. BIC Classification: PBKB. Dimension: 235 x 155. .
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG
Language
English
Condition
New
Series
Springer Undergraduate Mathematics Series
Number of Pages
307
Place of Publication
Cham, Switzerland
ISBN
9783319279558
SKU
V9783319279558
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Shmuel Kantorovitz
The author is an expert in Spectral Theory and semigroups of operators, researching in this area for 50 years, publishing numerous papers and three monographs.
Reviews for Several Real Variables
This textbook is excellent for self-study as it contains a lot of well-chosen examples and complete proofs. Each topic is followed by a set of suitable exercises, accompanied with detailed solutions, which complement the presented material significantly. ... The reader can obtain a very deep insight into analysis and related theories as the book provides deep understanding of principles. ... Read more