The Resource Hidden Harmony—Geometric Fantasies : The Rise of Complex Function Theory, by Umberto Bottazzini, Jeremy Gray, (electronic resource)

Hidden Harmony—Geometric Fantasies : The Rise of Complex Function Theory, by Umberto Bottazzini, Jeremy Gray, (electronic resource)

Label
Hidden Harmony—Geometric Fantasies : The Rise of Complex Function Theory
Title
Hidden Harmony—Geometric Fantasies
Title remainder
The Rise of Complex Function Theory
Statement of responsibility
by Umberto Bottazzini, Jeremy Gray
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Hidden Harmony—Geometric Fantasies describes the history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject—Cauchy, Riemann, and Weierstrass—it looks at the contributions of great mathematicians from d’Alembert to Poincaré, and Laplace to Weyl. Select chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been placed on the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. This book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main players lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. This work is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It is a major resource for professional mathematicians as well as advanced undergraduate and graduate students and anyone studying complex function theory
Member of
http://library.link/vocab/creatorName
Bottazzini, Umberto
Dewey number
515.9
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • GCuwnv3QXKo
  • qDa1dNTIZ1U
Language note
English
LC call number
QA319-329.9
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Gray, Jeremy.
Series statement
Sources and Studies in the History of Mathematics and Physical Sciences,
http://library.link/vocab/subjectName
  • Functional analysis
  • Functions of complex variables
  • Number theory
  • Functional Analysis
  • History of Mathematical Sciences
  • Functions of a Complex Variable
  • Number Theory
Label
Hidden Harmony—Geometric Fantasies : The Rise of Complex Function Theory, by Umberto Bottazzini, Jeremy Gray, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
List of Figures -- Introduction -- 1. Elliptic Functions -- 2. From real to complex -- 3. Cauch -- 4. Elliptic integrals -- 5. Riemann -- 6. Weierstrass -- 7. Differential equations -- 8. Advanced topics -- 9. Several variables -- 10. Textbooks
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (860 p.)
Form of item
online
Isbn
9781461457251
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-5725-1
Specific material designation
remote
System control number
  • (CKB)2670000000387945
  • (EBL)1317548
  • (SSID)ssj0000935748
  • (PQKBManifestationID)11613147
  • (PQKBTitleCode)TC0000935748
  • (PQKBWorkID)10955593
  • (PQKB)11390542
  • (DE-He213)978-1-4614-5725-1
  • (MiAaPQ)EBC1317548
  • (EXLCZ)992670000000387945
Label
Hidden Harmony—Geometric Fantasies : The Rise of Complex Function Theory, by Umberto Bottazzini, Jeremy Gray, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
List of Figures -- Introduction -- 1. Elliptic Functions -- 2. From real to complex -- 3. Cauch -- 4. Elliptic integrals -- 5. Riemann -- 6. Weierstrass -- 7. Differential equations -- 8. Advanced topics -- 9. Several variables -- 10. Textbooks
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (860 p.)
Form of item
online
Isbn
9781461457251
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-5725-1
Specific material designation
remote
System control number
  • (CKB)2670000000387945
  • (EBL)1317548
  • (SSID)ssj0000935748
  • (PQKBManifestationID)11613147
  • (PQKBTitleCode)TC0000935748
  • (PQKBWorkID)10955593
  • (PQKB)11390542
  • (DE-He213)978-1-4614-5725-1
  • (MiAaPQ)EBC1317548
  • (EXLCZ)992670000000387945

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