The Resource Introduction to Mathematical Analysis, by Igor Kriz, Aleš Pultr, (electronic resource)

Introduction to Mathematical Analysis, by Igor Kriz, Aleš Pultr, (electronic resource)

Label
Introduction to Mathematical Analysis
Title
Introduction to Mathematical Analysis
Statement of responsibility
by Igor Kriz, Aleš Pultr
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today
http://library.link/vocab/creatorName
Kriz, Igor
Dewey number
  • 510
  • 512.5
  • 515
  • 515.24
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • GZWumkwvo4k
  • TDGJ3Dct2lY
Language note
English
LC call number
QA331.5
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Pultr, Aleš.
http://library.link/vocab/subjectName
  • Mathematics
  • Matrix theory
  • Functions of complex variables
  • Differential Equations
  • Sequences (Mathematics)
  • Real Functions
  • Linear and Multilinear Algebras, Matrix Theory
  • Measure and Integration
  • Functions of a Complex Variable
  • Ordinary Differential Equations
  • Sequences, Series, Summability
Label
Introduction to Mathematical Analysis, by Igor Kriz, Aleš Pultr, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface -- Introduction -- Part 1. A Rigorous Approach to Advanced Calculus -- 1. Preliminaries -- 2. Metric and Topological Spaces I -- 3. Multivariable Differential Calculus -- 4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral -- 5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration -- 6. Systems of Ordinary Differential Equations -- 7. System of Linear Differential Equations -- 8. Line Integrals and Green's Theorem -- Part 2. Analysis and Geometry -- 9. An Introduction to Complex Analysis -- 10. Metric and Topological Spaces II -- 11. Multilinear Algebra -- 12. Smooth Manifolds, Differential Forms and Stokes' Theorem -- 13. Calculus of Variations and the Geodesic Equation -- 14. Tensor Calculus and Riemannian Geometry -- 15. Hilbert Spaces I: Definitions and Basic Properties -- 16. Hilbert Spaces II: Examples and Applications -- Appendix A. Linear Algebra I: Vector Spaces -- Appendix B. Linear Algebra II: More about Matrices -- Bibliography -- Index of Symbols -- Index.
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (517 p.)
Form of item
online
Isbn
9783034806367
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-0636-7
Specific material designation
remote
System control number
  • (CKB)3710000000002550
  • (EBL)1398255
  • (SSID)ssj0000962855
  • (PQKBManifestationID)11544094
  • (PQKBTitleCode)TC0000962855
  • (PQKBWorkID)10979930
  • (PQKB)11319422
  • (DE-He213)978-3-0348-0636-7
  • (EXLCZ)993710000000002550
Label
Introduction to Mathematical Analysis, by Igor Kriz, Aleš Pultr, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface -- Introduction -- Part 1. A Rigorous Approach to Advanced Calculus -- 1. Preliminaries -- 2. Metric and Topological Spaces I -- 3. Multivariable Differential Calculus -- 4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral -- 5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration -- 6. Systems of Ordinary Differential Equations -- 7. System of Linear Differential Equations -- 8. Line Integrals and Green's Theorem -- Part 2. Analysis and Geometry -- 9. An Introduction to Complex Analysis -- 10. Metric and Topological Spaces II -- 11. Multilinear Algebra -- 12. Smooth Manifolds, Differential Forms and Stokes' Theorem -- 13. Calculus of Variations and the Geodesic Equation -- 14. Tensor Calculus and Riemannian Geometry -- 15. Hilbert Spaces I: Definitions and Basic Properties -- 16. Hilbert Spaces II: Examples and Applications -- Appendix A. Linear Algebra I: Vector Spaces -- Appendix B. Linear Algebra II: More about Matrices -- Bibliography -- Index of Symbols -- Index.
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (517 p.)
Form of item
online
Isbn
9783034806367
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-0636-7
Specific material designation
remote
System control number
  • (CKB)3710000000002550
  • (EBL)1398255
  • (SSID)ssj0000962855
  • (PQKBManifestationID)11544094
  • (PQKBTitleCode)TC0000962855
  • (PQKBWorkID)10979930
  • (PQKB)11319422
  • (DE-He213)978-3-0348-0636-7
  • (EXLCZ)993710000000002550

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