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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)
Resource Information
The item Green's Functions and Infinite Products : Bridging the Divide, by Yuri A. Melnikov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Green's Functions and Infinite Products : Bridging the Divide, by Yuri A. Melnikov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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 twodimensional 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 boundaryvalue problems. Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the twodimensional 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
 Language

 eng
 eng
 Edition
 1st ed. 2011.
 Extent
 1 online resource (X, 165 p. 32 illus.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 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
 Isbn
 9780817682804
 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
 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 twodimensional 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 boundaryvalue problems. Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the twodimensional 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
 QA299.6433
 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)
 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
 10.1007/9780817682804
 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
 (DEHe213)9780817682804
 (MiAaPQ)EBC3067277
 (EXLCZ)992550000000053666
 Label
 Green's Functions and Infinite Products : Bridging the Divide, by Yuri A. Melnikov, (electronic resource)
 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
 10.1007/9780817682804
 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
 (DEHe213)9780817682804
 (MiAaPQ)EBC3067277
 (EXLCZ)992550000000053666
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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