The Resource Green's Functions and Infinite Products : Bridging the Divide, by Yuri A. Melnikov, (electronic resource)

Green's Functions and Infinite Products : Bridging the Divide, by Yuri A. Melnikov, (electronic resource)

Label
Green's Functions and Infinite Products : Bridging the Divide
Title
Green's Functions and Infinite Products
Title remainder
Bridging the Divide
Statement of responsibility
by Yuri A. Melnikov
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This textbook accounts for two seemingly unrelated mathematical topics drawn from two separate areas of mathematics that have no evident points of contiguity. Green's function is a topic in partial differential equations and covered in most standard texts, while infinite products are used in mathematical analysis. For the two-dimensional Laplace equation, Green's functions are conventionally constructed by either the method of images, conformal mapping, or the eigenfunction expansion. The present text focuses on the construction of Green's functions for a wide range of boundary-value problems. Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation and the infinite product representation of elementary functions. Every chapter begins with a review guide, outlining the basic concepts covered. A set of carefully designed challenging exercises is available at the end of each chapter to provide the reader with the opportunity to explore the concepts in more detail. Hints, comments, and answers to most of those exercises can be found at the end of the text. In addition, several illustrative examples are offered at the end of most sections. This text is intended for an elective graduate course or seminar within the scope of either pure or applied mathematics
http://library.link/vocab/creatorName
Melnikov, Yuri A
Dewey number
515
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
Ic9mF65ABms
Image bit depth
0
Language note
English
LC call number
QA299.6-433
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Global analysis (Mathematics)
  • Differential Equations
  • Differential equations, partial
  • Mathematics
  • Analysis
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Applications of Mathematics
Label
Green's Functions and Infinite Products : Bridging the Divide, by Yuri A. Melnikov, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
INTRODUCTION -- CHAPTER 1: Infinite Products & Elementary Functions -- 1.1 Classical Euler representations -- 1.2 Alternative derivations -- 1.3 Other elementary functions -- 1.4 Chapter exercises -- CHAPTER 2: Green's Functions for the Laplace Equation -- 2.1 Construction by the method of images -- 2.2 Conformal mapping method -- 2.3 Chapter exercises -- CHAPTER 3: Green's Functions for ODE -- 3.1 Construction by defining properties -- 3.2 Method of variation of parameters -- 3.3 Chapter exercises -- CHAPTER 4: Method of Eigenfunction Expansion -- 4.1 Hilbert's theorem -- 4.2 Cartesian coordinates -- 4.3 Polar coordinates -- 4.4 Chapter exercises -- CHAPTER 5: New Infinite Product Representations -- 5.1 Method of images extends frontiers -- 5.2 Trigonometric functions -- 5.3 Hyperbolic functions -- 5.4 Chapter exercises -- HINTS AND ANSWERS TO CHAPTER EXERCISES -- REFERENCES -- INDEX
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (X, 165 p. 32 illus.)
File format
multiple file formats
Form of item
online
Isbn
9780817682804
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-0-8176-8280-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2550000000053666
  • (SSID)ssj0000609852
  • (PQKBManifestationID)11397222
  • (PQKBTitleCode)TC0000609852
  • (PQKBWorkID)10622478
  • (PQKB)10649332
  • (DE-He213)978-0-8176-8280-4
  • (MiAaPQ)EBC3067277
  • (EXLCZ)992550000000053666
Label
Green's Functions and Infinite Products : Bridging the Divide, by Yuri A. Melnikov, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
INTRODUCTION -- CHAPTER 1: Infinite Products & Elementary Functions -- 1.1 Classical Euler representations -- 1.2 Alternative derivations -- 1.3 Other elementary functions -- 1.4 Chapter exercises -- CHAPTER 2: Green's Functions for the Laplace Equation -- 2.1 Construction by the method of images -- 2.2 Conformal mapping method -- 2.3 Chapter exercises -- CHAPTER 3: Green's Functions for ODE -- 3.1 Construction by defining properties -- 3.2 Method of variation of parameters -- 3.3 Chapter exercises -- CHAPTER 4: Method of Eigenfunction Expansion -- 4.1 Hilbert's theorem -- 4.2 Cartesian coordinates -- 4.3 Polar coordinates -- 4.4 Chapter exercises -- CHAPTER 5: New Infinite Product Representations -- 5.1 Method of images extends frontiers -- 5.2 Trigonometric functions -- 5.3 Hyperbolic functions -- 5.4 Chapter exercises -- HINTS AND ANSWERS TO CHAPTER EXERCISES -- REFERENCES -- INDEX
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (X, 165 p. 32 illus.)
File format
multiple file formats
Form of item
online
Isbn
9780817682804
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-0-8176-8280-4
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)2550000000053666
  • (SSID)ssj0000609852
  • (PQKBManifestationID)11397222
  • (PQKBTitleCode)TC0000609852
  • (PQKBWorkID)10622478
  • (PQKB)10649332
  • (DE-He213)978-0-8176-8280-4
  • (MiAaPQ)EBC3067277
  • (EXLCZ)992550000000053666

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