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100   $a20160209d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aSeveral Real Variables /$fby Shmuel Kantorovitz
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (XII, 307 p. 16 illus.) 
225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-27955-6 
327   $aContinuity -- Derivation -- Implicit Functions -- Integration -- Solutions. .
330   $aThis undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: ?The p-norms on vector space and their equivalence ?The Weierstrass and Stone-Weierstrass approximation theorems ?The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables ?The Implicit Function Theorem for a system of equations, proved via Banach?s Fixed Point Theorem ?Applications to Ordinary Differential Equations ?Line integrals and an introduction to surface integrals This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in line ar algebra and analysis of one real variable.
410  0$aSpringer Undergraduate Mathematics Series,$x1615-2085
606   $aFunctions of real variables
606   $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171
615  0$aFunctions of real variables.
615 14$aReal Functions.
676   $a515.84
700   $aKantorovitz$b Shmuel$4aut$4http://id.loc.gov/vocabulary/relators/aut$054813
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254081303321
996   $aSeveral real variables$91523623
997   $aUNINA