Read Several Real Variables (Springer Undergraduate Mathematics Series)

Several Real Variables (Springer Undergraduate Mathematics Series)

Shmuel Kantorovitz

4.9/5 (18853 ratings)

Description:This undergraduate textbook is based on lectures given bythe author on the differential and integral calculus of functions of severalreal variables. The book has a modern approach and includes topics such as:•The p-norms on vector space and theirequivalence•The Weierstrass and Stone-Weierstrassapproximation theorems•The differential as a linear functional;Jacobians, Hessians, and Taylor's theorem in several variables•The Implicit Function Theorem for a system ofequations, proved via Banach’s Fixed Point Theorem•Applications to Ordinary Differential Equations•Line integrals and an introduction to surfaceintegralsThis book features numerous examples, detailed proofs, aswell as exercises at the end of sections. Many of the exercises have detailedsolutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduatestudents in mathematics who have completed first courses in linear algebra andanalysis of one real variable.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Several Real Variables (Springer Undergraduate Mathematics Series). To get started finding Several Real Variables (Springer Undergraduate Mathematics Series), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 3319279564

Description: This undergraduate textbook is based on lectures given bythe author on the differential and integral calculus of functions of severalreal variables. The book has a modern approach and includes topics such as:•The p-norms on vector space and theirequivalence•The Weierstrass and Stone-Weierstrassapproximation theorems•The differential as a linear functional;Jacobians, Hessians, and Taylor's theorem in several variables•The Implicit Function Theorem for a system ofequations, proved via Banach’s Fixed Point Theorem•Applications to Ordinary Differential Equations•Line integrals and an introduction to surfaceintegralsThis book features numerous examples, detailed proofs, aswell as exercises at the end of sections. Many of the exercises have detailedsolutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduatestudents in mathematics who have completed first courses in linear algebra andanalysis of one real variable.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Several Real Variables (Springer Undergraduate Mathematics Series). To get started finding Several Real Variables (Springer Undergraduate Mathematics Series), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Several Real Variables (Springer Undergraduate Mathematics Series)

Several Real Variables (Springer Undergraduate Mathematics Series)

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