The Resource Analysis II, by Herbert Amann, Joachim Escher, (electronic resource)

Analysis II, by Herbert Amann, Joachim Escher, (electronic resource)

Label
Analysis II
Title
Analysis II
Statement of responsibility
by Herbert Amann, Joachim Escher
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
As with the ?rst, the secondvolume containssubstantially morematerialthancan be covered in a one-semester course. Such courses may omit many beautiful and well-grounded applications which connect broadly to many areas of mathematics. We of course hope that students will pursue this material independently; teachers may ?nd it useful for undergraduate seminars. For an overview of the material presented, consult the table of contents and the chapter introductions. As before, we stress that doing the numerous exercises is indispensable for understanding the subject matter, and they also round out and amplify the main text. In writing this volume, we are indebted to the help of many. We especially thank our friends and colleages Pavol Quittner and Gieri Simonett. They have not only meticulously reviewed the entire manuscript and assisted in weeding out errors but also, through their valuable suggestions for improvement, contributed essentially to the ?nal version. We also extend great thanks to our sta? for their careful perusal of the entire manuscript and for tracking errata and inaccuracies. Our most heartfelt thank extends again to our “typesetting perfectionist”, 1 without whose tireless e?ort this book would not look nearly so nice. We also thank Andreas for helping resolve hardware and software problems. Finally, we extend thanks to Thomas Hintermann and to Birkh ̈ auser for the good working relationship and their understanding of our desired deadlines
Member of
http://library.link/vocab/creatorName
Amann, Herbert
Dewey number
515
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • UOZQk80wM8M
  • TZOTKbFgwRA
Language note
English
LC call number
QA299.6-433
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Escher, Joachim.
http://library.link/vocab/subjectName
  • Global analysis (Mathematics)
  • Functions of complex variables
  • Functions, special
  • Functional analysis
  • Mathematics
  • Analysis
  • Functions of a Complex Variable
  • Special Functions
  • Functional Analysis
  • Mathematics, general
Label
Analysis II, by Herbert Amann, Joachim Escher, (electronic resource)
Instantiates
Publication
Note
Vol. 2 translated by: Silvio Levy and Matthew Cargo
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface -- VI. Integral Calculus in One Variable - 1. Step Continuous Functions - 2. Continuous Extensions - 3. The Cauchy-Riemann Integral - 4. Properties of the Integral - 5. The Technology of Integration - 6. Sums and Integrals - 7. Fourier Series - 8. Improper Integrals - 9. The Gamma Function -- VII. Differential Calculus in Several Variables - 1. Continuous Linear Mappings - 2. Differentiability - 3. Calculation Rules - 4. Multilinear Mappings - 5. Higher Derivatives - 6. Nemytski Operators and Calculus of Variations - 7. Inverse Mappings - 8. Implicit Functions - 9. Manifolds - 10. Tangents and Normals -- VIII. Line Integrals - 1. Curves and Their Length - 2. Curves in Rn - 3. Pfaff Forms - 4. Line Integrals - 5. Holomorphic Functions - 6. Meromorphic Functions -- Bibliography -- Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (408 p.)
Form of item
online
Isbn
9783764374785
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-7643-7478-5
Specific material designation
remote
System control number
  • (CKB)1000000000491942
  • (EBL)3063143
  • (SSID)ssj0000316223
  • (PQKBManifestationID)11228961
  • (PQKBTitleCode)TC0000316223
  • (PQKBWorkID)10263765
  • (PQKB)10976312
  • (DE-He213)978-3-7643-7478-5
  • (MiAaPQ)EBC3063143
  • (EXLCZ)991000000000491942
Label
Analysis II, by Herbert Amann, Joachim Escher, (electronic resource)
Publication
Note
Vol. 2 translated by: Silvio Levy and Matthew Cargo
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface -- VI. Integral Calculus in One Variable - 1. Step Continuous Functions - 2. Continuous Extensions - 3. The Cauchy-Riemann Integral - 4. Properties of the Integral - 5. The Technology of Integration - 6. Sums and Integrals - 7. Fourier Series - 8. Improper Integrals - 9. The Gamma Function -- VII. Differential Calculus in Several Variables - 1. Continuous Linear Mappings - 2. Differentiability - 3. Calculation Rules - 4. Multilinear Mappings - 5. Higher Derivatives - 6. Nemytski Operators and Calculus of Variations - 7. Inverse Mappings - 8. Implicit Functions - 9. Manifolds - 10. Tangents and Normals -- VIII. Line Integrals - 1. Curves and Their Length - 2. Curves in Rn - 3. Pfaff Forms - 4. Line Integrals - 5. Holomorphic Functions - 6. Meromorphic Functions -- Bibliography -- Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (408 p.)
Form of item
online
Isbn
9783764374785
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-7643-7478-5
Specific material designation
remote
System control number
  • (CKB)1000000000491942
  • (EBL)3063143
  • (SSID)ssj0000316223
  • (PQKBManifestationID)11228961
  • (PQKBTitleCode)TC0000316223
  • (PQKBWorkID)10263765
  • (PQKB)10976312
  • (DE-He213)978-3-7643-7478-5
  • (MiAaPQ)EBC3063143
  • (EXLCZ)991000000000491942

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