Special Functions And Fourier Series
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Vistas Of Special Functions
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Author : Shigeru Kanemitsu
language : en
Publisher: World Scientific
Release Date : 2007
Vistas Of Special Functions written by Shigeru Kanemitsu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
1. The theory of Bernoulli and allied polynomials -- 2. The theory of the gamma and related functions -- 3. The theory of the Hurwitz-Lerch zeta-functions -- 4. The theory of Bernoulli polynomials via zeta functions -- 5. The theory of the gamma and related functions via zeta-functions -- 6. The theory of Bessel functions and the Epstein zeta-functions -- 7. Fourier series and Fourier transforms -- 8. Around Dirichlet's L-functions.
Mathematical Methods In Physics
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Author : Victor Henner
language : en
Publisher: CRC Press
Release Date : 2009-06-18
Mathematical Methods In Physics written by Victor Henner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-18 with Science categories.
This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that allows the user to generate and model different physical situations and learn by experimentation. From this standpoint, the book along with the software can also be used as a reference book on PDEs, Fourier series and special functions for students and professionals alike.
Vistas Of Special Functions Ii
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Author : Haruo Tsukada
language : en
Publisher: World Scientific
Release Date : 2009-10-28
Vistas Of Special Functions Ii written by Haruo Tsukada and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-28 with Mathematics categories.
This book (Vista II), is a sequel to Vistas of Special Functions (World Scientific, 2007), in which the authors made a unification of several formulas scattered around the relevant literature under the guiding principle of viewing them as manifestations of the functional equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations — avatars of the functional equations. Vista II gives an organic and elucidating presentation of the situations where special functions can be effectively used. Vista II will provide the reader ample opportunity to find suitable formulas and the means to apply them to practical problems for actual research. It can even be used during tutorials for paper writing.
Essential Mathematical Methods For Physicists Ise
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Author : Hans J. Weber
language : en
Publisher: Academic Press
Release Date : 2004
Essential Mathematical Methods For Physicists Ise written by Hans J. Weber and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This new adaptation of Arfken and Weber's best-selling Mathematical Methods for Physicists, fifth edition, is the most modern collection of mathematical principles for solving physics problems.
A Short Course In Mathematical Methods With Maple
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Author : Henrik Aratyn
language : en
Publisher: World Scientific
Release Date : 2006
A Short Course In Mathematical Methods With Maple written by Henrik Aratyn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This unique book provides a streamlined, self-contained and modern text for a one-semester mathematical methods course with an emphasis on concepts important from the application point of view. Part I of this book follows the ?paper and pencil? presentation of mathematical methods that emphasizes fundamental understanding and geometrical intuition. In addition to a complete list of standard subjects, it introduces important, contemporary topics like nonlinear differential equations, chaos and solitons. Part II employs the Maple software to cover the same topics as in Part I in a computer oriented approach to instruction. Using Maple liberates students from laborious tasks while helping them to concentrate entirely on concepts and on better visualizing the mathematical content. The focus of the text is on key ideas and basic technical and geometric insights presented in a way that closely reflects how physicists and engineers actually think about mathematics.
Mathematical Concepts And Techniques For Physics And Engineering
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-12
Mathematical Concepts And Techniques For Physics And Engineering written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-12 with Science categories.
In "Mathematical Concepts and Techniques for Physics and Engineering", renowned authors unveil a comprehensive and engaging journey through the mathematical foundations that underpin the fields of physics and engineering. This meticulously crafted volume invites readers to delve into the core principles that illuminate the inner workings of our physical world, empowering them to analyze, understand, and manipulate its intricacies. With a captivating blend of theoretical rigor and practical applications, this book encompasses a vast spectrum of mathematical concepts, from the fundamentals of calculus and linear algebra to the intricacies of complex numbers and probability theory. The authors guide readers through the intricacies of vector calculus, revealing the secrets of motion and flow. Special functions and transforms unveil their power in solving complex problems, while numerical methods provide practical tools for tackling real-world challenges. Throughout this exploration, readers will uncover the profound connections between mathematics and the physical world, witnessing how mathematical concepts find practical applications in a myriad of fields, from the design of bridges to the intricacies of quantum mechanics. Each chapter deepens understanding of the universe and equips readers with the ability to harness its power for the betterment of society. Written with clarity and precision, this book is an indispensable resource for students, researchers, and practitioners in physics, engineering, and related disciplines. Its comprehensive coverage, engaging explanations, and wealth of examples illuminate the path towards mastering the mathematical tools that shape our world. Embark on this mathematical odyssey and unlock new horizons of understanding and innovation. "Mathematical Concepts and Techniques for Physics and Engineering" is your trusted guide to mastering the language of science and engineering, empowering you to decipher the mysteries of the universe and shape the technological landscape of the future. If you like this book, write a review!
Sturm Liouville Theory And Its Applications
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Author : Mohammed Al-Gwaiz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-21
Sturm Liouville Theory And Its Applications written by Mohammed Al-Gwaiz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-21 with Mathematics categories.
Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The text’s presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.
Mathematical Methods For Physicists
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Author : George B. Arfken
language : en
Publisher: Academic Press
Release Date : 2013-10-22
Mathematical Methods For Physicists written by George B. Arfken and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Mathematics categories.
Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.
Mathematical Methods For Physicists International Student Edition
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Author : George B. Arfken
language : en
Publisher: Elsevier
Release Date : 2005-07-05
Mathematical Methods For Physicists International Student Edition written by George B. Arfken and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-05 with Mathematics categories.
This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. - Updates the leading graduate-level text in mathematical physics - Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering - Focuses on problem-solving skills and offers a vast array of exercises - Clearly illustrates and proves mathematical relations New in the Sixth Edition: - Updated content throughout, based on users' feedback - More advanced sections, including differential forms and the elegant forms of Maxwell's equations - A new chapter on probability and statistics - More elementary sections have been deleted
Mathematical Methods For Physicists
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Author : George Brown Arfken
language : en
Publisher: Academic Press
Release Date : 2013
Mathematical Methods For Physicists written by George Brown Arfken and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
Table of Contents Mathematical Preliminaries Determinants and Matrices Vector Analysis Tensors and Differential Forms Vector Spaces Eigenvalue Problems Ordinary Differential Equations Partial Differential Equations Green's Functions Complex Variable Theory Further Topics in Analysis Gamma Function Bessel Functions Legendre Functions Angular Momentum Group Theory More Special Functions Fourier Series Integral Transforms Periodic Systems Integral Equations Mathieu Functions Calculus of Variations Probability and Statistics.