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Mathematical physics with partial differential equations /

Mathematical Physics with Partial Differential Equations is for advanced undergraduate and beginning graduate students taking a course on mathematical physics taught out of math departments. The text presents some of the most important topics and methods of mathematical physics. The premise is to st...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kirkwood, James R.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Waltham, MA : Academic Press, �2013.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Kirkwood, James R. 
245 1 0 |a Mathematical physics with partial differential equations /  |c James R. Kirkwood. 
260 |a Waltham, MA :  |b Academic Press,  |c �2013. 
300 |a 1 online resource (xii, 418 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
520 |a Mathematical Physics with Partial Differential Equations is for advanced undergraduate and beginning graduate students taking a course on mathematical physics taught out of math departments. The text presents some of the most important topics and methods of mathematical physics. The premise is to study in detail the three most important partial differential equations in the field - the heat equation, the wave equation, and Laplace's equation. The most common techniques of solving such equations are developed in this book, including Green's functions, the Fourier transform, and the Laplace transform, which all have applications in mathematics and physics far beyond solving the above equations. The book's focus is on both the equations and their methods of solution. Ordinary differential equations and PDEs are solved including Bessel Functions, making the book useful as a graduate level textbook. The book's rigor supports the vital sophistication for someone wanting to continue further in areas of mathematical physics. Examines in depth both the equations and their methods of solution Presents physical concepts in a mathematical framework Contains detailed mathematical derivations and solutions- reinforcing the material through repetition of both the equations and the techniques Includes several examples solved by multiple methods-highlighting the strengths and weaknesses of various techniques and providing additional practice. 
505 0 |a Chapter 1 Prelimininaries Chapter 2 Vector Calculus Chapter 3 Green's Functions Chapter 4 Fourier Series Chapter 5 Three Important Equations Chapter 6 Sturm-Liouville Theory Chapter 7 Solving PDE's in Cartesian Coordinates by Separation of Variables Chapter 8 Solving PDE's in Cylindrical Coordinates by Separation of Variables Chapter 9 Solving PDE's in Spherical Coordinates w/ Sep. of Variables Chapter 10 The Fourier Transform Chapter 11 The Laplace Transform Chapter 12 Solving PDE's Using Green's Functions Appendix Bibliography. 
504 |a Includes bibliographical references and index. 
500 |a Machine generated contents note: Chapter 1 Prelimininaries- Introduction Chapter 2 Vector Calculus Chapter 3 Green's Functions Chapter 4 Fourier Series Chapter 5 Three Important Equations Chapter 6 Sturm-Liouville Theory Chapter 7 Bessel Equations and Bessel Functions Chapter 8 Legendre Equations and Legendre Polynomials Chapter 9 The Fourier Transform Chapter 10 The Laplace Transform Chapter 11 The Heat Equation Chapter 12 The Wave Equation Chapter 13 Laplace's Equation. 
588 0 |a Print version record. 
546 |a English. 
650 0 |a Mathematical physics. 
650 0 |a Differential equations, Partial. 
650 6 |a Physique math�ematique.  |0 (CaQQLa)201-0008394 
650 6 |a �Equations aux d�eriv�ees partielles.  |0 (CaQQLa)201-0012495 
650 7 |a Science.  |2 eflch 
650 7 |a Differential equations, Partial  |2 fast  |0 (OCoLC)fst00893484 
650 7 |a Mathematical physics  |2 fast  |0 (OCoLC)fst01012104 
776 0 8 |i Print version:  |a Kirkwood, James R.  |t Mathematical physics with partial differential equations.  |d Waltham, MA : Academic Press, �2013  |z 9780123869111  |w (DLC) 2011028883  |w (OCoLC)693812426 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780123869111  |z Texto completo