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＜電子ブック＞
Several Real Variables / by Shmuel Kantorovitz
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
大きさ	XII, 307 p. 16 illus : online resource
著者標目	*Kantorovitz, Shmuel author SpringerLink (Online service)
件　名	LCSH:Functions of real variables FREE:Real Functions
一般注記	Continuity -- Derivation -- Implicit Functions -- Integration -- Solutions. 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 line ar algebra and analysis of one real variable HTTP:URL=https://doi.org/10.1007/978-3-319-27956-5

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