Theory And Applications Of Differentiable Functions Of Several Variables Iii
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Theory And Applications Of Differentiable Functions Of Several Variables Iii
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Author : Sergei Mikhailovich Nikol'skii
language : en
Publisher:
Release Date : 1971
Theory And Applications Of Differentiable Functions Of Several Variables Iii written by Sergei Mikhailovich Nikol'skii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Theory And Applications Of Differentiable Functions Of Several Variables Part Iii
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Author :
language : en
Publisher:
Release Date : 1971
Theory And Applications Of Differentiable Functions Of Several Variables Part Iii written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Theory And Applications Of Differentiable Functions Of Several Variables Pt 2
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Author : S.M. Nikol'skii
language : en
Publisher:
Release Date : 1968
Theory And Applications Of Differentiable Functions Of Several Variables Pt 2 written by S.M. Nikol'skii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Introduction To Analysis In Several Variables Advanced Calculus
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Author : Michael E. Taylor
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-27
Introduction To Analysis In Several Variables Advanced Calculus written by Michael E. Taylor and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-27 with Education categories.
This text was produced for the second part of a two-part sequence on advanced calculus, whose aim is to provide a firm logical foundation for analysis. The first part treats analysis in one variable, and the text at hand treats analysis in several variables. After a review of topics from one-variable analysis and linear algebra, the text treats in succession multivariable differential calculus, including systems of differential equations, and multivariable integral calculus. It builds on this to develop calculus on surfaces in Euclidean space and also on manifolds. It introduces differential forms and establishes a general Stokes formula. It describes various applications of Stokes formula, from harmonic functions to degree theory. The text then studies the differential geometry of surfaces, including geodesics and curvature, and makes contact with degree theory, via the Gauss–Bonnet theorem. The text also takes up Fourier analysis, and bridges this with results on surfaces, via Fourier analysis on spheres and on compact matrix groups.
Theory And Applications Of Differentiable Functions Of Several Variables Ii
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Author : Sergei Mikhailovich Nikol'skii
language : en
Publisher:
Release Date : 1968
Theory And Applications Of Differentiable Functions Of Several Variables Ii written by Sergei Mikhailovich Nikol'skii and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Approximation Of Functions Of Several Variables And Imbedding Theorems
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Author : S.M. Nikol'skii
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Approximation Of Functions Of Several Variables And Imbedding Theorems written by S.M. Nikol'skii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This English translation of my book "PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya" is identical in content with the Rus sian original, published by "Nauka" in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Dan skin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to func tions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, "Integral Represen tations of Functions and Imbedding Theorems", by O.V. Besov, V.P. Il'in, and myself, has just (May 1975) been published, by the publishing house "Nauka", in Moscow. Moscow, U.S.S.R., May 1975 S.M. Nikol'skir Translator's Note I am very grateful to Professor Nikol'skir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikol'skir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable
Catalogue Books And Journals In Advanced Mathematics
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1985
Catalogue Books And Journals In Advanced Mathematics written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Catalog Of Copyright Entries Third Series
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Author : Library of Congress. Copyright Office
language : en
Publisher: Copyright Office, Library of Congress
Release Date : 1977
Catalog Of Copyright Entries Third Series written by Library of Congress. Copyright Office and has been published by Copyright Office, Library of Congress this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Copyright categories.
Differentiability In Banach Spaces Differential Forms And Applications
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Author : Celso Melchiades Doria
language : en
Publisher: Springer Nature
Release Date : 2021-07-19
Differentiability In Banach Spaces Differential Forms And Applications written by Celso Melchiades Doria and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-19 with Mathematics categories.
This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators in Banach Spaces with classic examples of compact and Fredholm operators, this aiming to define the derivative of Fréchet and to give examples in Variational Calculus and to extend the results to Fredholm maps. The Inverse Function Theorem is explained in full details to help the reader to understand the proof details and its motivations. The inverse function theorem and applications make up this first part. The text contains an elementary approach to Vector Fields and Flows, including the Frobenius Theorem. The Differential Forms are introduced and applied to obtain the Stokes Theorem and to define De Rham cohomology groups. As an application, the final chapter contains an introduction to the Harmonic Functions and a geometric approach to Maxwell's equations of electromagnetism.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.