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008 150903s2011 xxu| o |||| 0|eng d
020 _a9780817682804
_99780817682804
024 7 _a10.1007/9780817682804
_2doi
035 _avtls000333725
039 9 _a201509030218
_bVLOAD
_c201404130522
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA299.6-433
100 1 _aMelnikov, Yuri A.
_eautor
_9307748
245 1 0 _aGreen's Functions and Infinite Products :
_bBridging the Divide /
_cby Yuri A. Melnikov.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2011.
300 _ax, 165 páginas 32 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
505 0 _aINTRODUCTION -- 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.
520 _aThis 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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780817682798
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-8280-4
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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