Titre :	Basic Analysis II : A Modern Calculus in Many Variables
Type de document :	document électronique
Auteurs :	K. Peterson James
Editeur :	Boca Raton : CRC Press
Année de publication :	2020
Importance :	1 vol (517 p.)
ISBN/ISSN/EAN :	978-1-351-67932-9
Langues :	Français (fre)
Catégories :	Bibliothèque numérique:Mathématique
Mots-clés :	Mathematical analysis:Textbooks Functions of several real variables
Index. décimale :	515.8 Fonctions de variables réelles (analyse réelle)
Résumé :	Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science curricula. Although it follows on from the preceding volume, this is a self-contained book, accessible to undergraduates with a minimal grounding in analysis. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Note de contenu :	TABLE OF CONTENTS I- Introduction 1. Beginning Remarks II- Linear mappings 2.Preliminaries 3.Vector Spaces 4.Linear Transformations 5.Symmetric Matrices 6.Continuity and Topology 7.Abstract Symmetric Matrices 8.Rotations and Orbital Mechanics 9.Determinants and Matrix Manipulations III- Calculus of Many Variables 10.Differentiability 11.Multivariable Extremal Theory 12.The Inverse and Implicit Function Theorems 13.Linear Approximation Applications IV- Integration 14.Integration in Multiple Dimensions 15.Change of Variables and Fubini’s Theorem 16.Line Integrals 17.Differential Forms V Applications 18.The Exponential Matrix 19.Nonlinear Parametric Optimization Theory VI Summing It All Up 20 Summing It All Up VII References Index
Côte titre :	E-Fs/0060
En ligne :	https://sciences-courses.univ-setif.dz/login/index.php

Basic Analysis II : A Modern Calculus in Many Variables [document électronique] / K. Peterson James . - Boca Raton : CRC Press, 2020 . - 1 vol (517 p.).
ISBN : 978-1-351-67932-9
Langues : Français (fre)

Catégories :	Bibliothèque numérique:Mathématique
Mots-clés :	Mathematical analysis:Textbooks Functions of several real variables
Index. décimale :	515.8 Fonctions de variables réelles (analyse réelle)
Résumé :	Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science curricula. Although it follows on from the preceding volume, this is a self-contained book, accessible to undergraduates with a minimal grounding in analysis. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Note de contenu :	TABLE OF CONTENTS I- Introduction 1. Beginning Remarks II- Linear mappings 2.Preliminaries 3.Vector Spaces 4.Linear Transformations 5.Symmetric Matrices 6.Continuity and Topology 7.Abstract Symmetric Matrices 8.Rotations and Orbital Mechanics 9.Determinants and Matrix Manipulations III- Calculus of Many Variables 10.Differentiability 11.Multivariable Extremal Theory 12.The Inverse and Implicit Function Theorems 13.Linear Approximation Applications IV- Integration 14.Integration in Multiple Dimensions 15.Change of Variables and Fubini’s Theorem 16.Line Integrals 17.Differential Forms V Applications 18.The Exponential Matrix 19.Nonlinear Parametric Optimization Theory VI Summing It All Up 20 Summing It All Up VII References Index
Côte titre :	E-Fs/0060
En ligne :	https://sciences-courses.univ-setif.dz/login/index.php