Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Smooth Functions And MapsISBN13:9783030794378ISBN10:3030794377Author:Makarov, Boris M. (Author), Podkorytov, Anatolii N. (Author), Tsilevich, Natalia (Translator)Description:The Book Contains A Consistent And Sufficiently Comprehensive Theory Of Smooth Functions And Maps Insofar As It Is Connected With Differential Calculus The Scope Of Notions Includes, Among Others, Lagrange Inequality, Taylor's Formula, Finding Absolute And Relative Extrema, Theorems On Smoothness Of The Inverse Map And On Conditions Of Local Invertibility, Implicit Function Theorem, Dependence And Independence Of Functions, Classification Of Smooth Functions Up To Diffeomorphism The Concluding Chapter Deals With A More Specific Issue Of Critical Values Of Smooth Mappings In Several Chapters, A Relatively New Technical Approach Is Used That Allows The Authors To Clarify And Simplify Some Of The Technically Difficult Proofs While Maintaining Full Integrity Besides, The Book Includes Complete Proofs Of Some Important Results Which Until Now Have Only Been Published In Scholarly Literature Or Scientific Journals (Remainder Estimates Of Taylor's Formula In A Nonconvex Area (Chapter I, 8), Whitney's Extension Theorem For Smooth Function (Chapter I, 11) And Some Of Its Corollaries, Global Diffeomorphism Theorem (Chapter Ii, 5), Results On Sets Of Critical Values Of Smooth Mappings And The Related Whitney Example (Chapter Iv) The Text Features Multiple Examples Illustrating The Results Obtained And Demonstrating Their Accuracy Moreover, The Book Contains Over 150 Problems And 19 Illustrations Perusal Of The Book Equips The Reader To Further Explore Any Literature Basing Upon Multivariable Calculus Binding:Hardcover, HardcoverPublisher:SpringerPublication Date:2021-09-06Weight:0 lbsDimensions:Number of Pages:Language:English
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Book Title: Smooth Functions And Maps
Item Length: 9.3in
Item Width: 6.1in
Author: Boris M. Makarov, Anatolii N. Podkorytov
Publication Name: Smooth Functions and Maps
Format: Hardcover
Language: English
Publisher: Springer International Publishing A&G
Series: Moscow Lectures
Publication Year: 2021
Type: Textbook
Item Weight: 22 Oz
Number of Pages: XL, 244 Pages