The Resource Mathematical analysis : foundations and advanced techniques for functions of several variables, Mariano Giaquinta, Giuseppe Modica
Mathematical analysis : foundations and advanced techniques for functions of several variables, Mariano Giaquinta, Giuseppe Modica
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The item Mathematical analysis : foundations and advanced techniques for functions of several variables, Mariano Giaquinta, Giuseppe Modica represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Mathematical analysis : foundations and advanced techniques for functions of several variables, Mariano Giaquinta, Giuseppe Modica represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory. The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differential forms, particularly kforms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics. The authorsconclude with the study of measure and integration theory  Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis. This work may be used as a supplementary text in the classroom or for selfstudy by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengths of this presentation, along with the other four books on analysis published by the authors, is the motivation for understanding the subject through examples, observations, exercises, and illustrations. Other books published by the authors  all of which provide the reader with a strong foundation in modernday analysis  include: * Mathematical Analysis: Functions of One Variable * Mathematical Analysis: Approximation and Discrete Processes * Mathematical Analysis: Linear and Metric Structures and Continuity * Mathematical Analysis: An Introduction to Functions of Several Variables Reviews of previous volumes of Mathematical Analysis: The presentation of the theory is clearly arranged, all theorems have rigorous proofs, and every chapter closes with a summing up of the results and exercises with different requirements. ... This book is excellently suitable for students in mathematics, physics, engineering, computer science and all students of technological and scientific faculties.Journal of Analysis and its Applications The exposition requires only a sound knowledge of calculus and the functions of one variable. A key feature of this lively yet rigorous and systematic treatment is the historical accounts of ideas and methods of the subject. Ideas in mathematics develop in cultural, historical and economical contexts, thus the authors made brief accounts of those aspects and used a large number of beautiful illustrations.Zentralblatt MATH
 Language
 eng
 Extent
 1 online resource (xiii, 405 pages)
 Contents

 Preface
 Spaces of Summable Functions and Partial Differential Equations
 Convex Sets and Convex Functions
 The Formalism of the Calculus of Variations
 Differential Forms
 Measures and Integrations
 Hausdorff and Radon Measures
 Mathematicians and Other Scientists
 Bibliographical Notes
 Index
 Isbn
 9780817683108
 Label
 Mathematical analysis : foundations and advanced techniques for functions of several variables
 Title
 Mathematical analysis
 Title remainder
 foundations and advanced techniques for functions of several variables
 Statement of responsibility
 Mariano Giaquinta, Giuseppe Modica
 Language
 eng
 Summary
 Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory. The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differential forms, particularly kforms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics. The authorsconclude with the study of measure and integration theory  Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis. This work may be used as a supplementary text in the classroom or for selfstudy by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengths of this presentation, along with the other four books on analysis published by the authors, is the motivation for understanding the subject through examples, observations, exercises, and illustrations. Other books published by the authors  all of which provide the reader with a strong foundation in modernday analysis  include: * Mathematical Analysis: Functions of One Variable * Mathematical Analysis: Approximation and Discrete Processes * Mathematical Analysis: Linear and Metric Structures and Continuity * Mathematical Analysis: An Introduction to Functions of Several Variables Reviews of previous volumes of Mathematical Analysis: The presentation of the theory is clearly arranged, all theorems have rigorous proofs, and every chapter closes with a summing up of the results and exercises with different requirements. ... This book is excellently suitable for students in mathematics, physics, engineering, computer science and all students of technological and scientific faculties.Journal of Analysis and its Applications The exposition requires only a sound knowledge of calculus and the functions of one variable. A key feature of this lively yet rigorous and systematic treatment is the historical accounts of ideas and methods of the subject. Ideas in mathematics develop in cultural, historical and economical contexts, thus the authors made brief accounts of those aspects and used a large number of beautiful illustrations.Zentralblatt MATH
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1947
 http://library.link/vocab/creatorName
 Giaquinta, Mariano
 Dewey number
 515
 Index
 index present
 Language note
 English
 LC call number
 QA300
 LC item number
 .G53 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Modica, Giuseppe
 http://library.link/vocab/subjectName

 Mathematical analysis
 Mathematics
 Mathematical analysis
 Label
 Mathematical analysis : foundations and advanced techniques for functions of several variables, Mariano Giaquinta, Giuseppe Modica
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Spaces of Summable Functions and Partial Differential Equations  Convex Sets and Convex Functions  The Formalism of the Calculus of Variations  Differential Forms  Measures and Integrations  Hausdorff and Radon Measures  Mathematicians and Other Scientists  Bibliographical Notes  Index
 Control code
 760288692
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 405 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9780817683108
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817683108
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)760288692
 Label
 Mathematical analysis : foundations and advanced techniques for functions of several variables, Mariano Giaquinta, Giuseppe Modica
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  Spaces of Summable Functions and Partial Differential Equations  Convex Sets and Convex Functions  The Formalism of the Calculus of Variations  Differential Forms  Measures and Integrations  Hausdorff and Radon Measures  Mathematicians and Other Scientists  Bibliographical Notes  Index
 Control code
 760288692
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 405 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9780817683108
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9780817683108
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)760288692
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