Index Transforms
DOWNLOAD
Download Index Transforms PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Index Transforms book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Index Transforms
DOWNLOAD
Author : Semen B. Yakubovich
language : en
Publisher: World Scientific
Release Date : 1996
Index Transforms written by Semen B. Yakubovich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function of hypergeometric type as the kernel (index transforms). The basic index transforms are considered, such as the Kontorovich-Lebedev transform, the Mehler-Fock transform, the Olevskii Transform and the Lebedev-Skalskaya transforms. The p theory of index transforms is discussed, and new index transforms and convolution constructions are demonstrated. For the first time, the essentially multidimensional Kontorovich-Lebedev transform is announced. General index transform formulae are obtained. The connection between the multidimensional index kernels and G and H functions of several variables is presented. The book is self-contained, and includes a list of symbols with definitions, author and subject indices, and an up-to-date bibliography.This work will be of interest to researchers and graudate students in the mathematical and physical sciences whose work involves integral transforms and special functions.
Fast Fourier Transforms
DOWNLOAD
Author : C. Sidney Burrus
language : en
Publisher: Lulu.com
Release Date : 2012-11-30
Fast Fourier Transforms written by C. Sidney Burrus and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-30 with Technology & Engineering categories.
This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, and Johnson are included, and computer programs are provided.
The Hypergeometric Approach To Integral Transforms And Convolutions
DOWNLOAD
Author : S.B. Yakubovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Hypergeometric Approach To Integral Transforms And Convolutions written by S.B. Yakubovich 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 2012-12-06 with Mathematics categories.
The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of integrals. We hope that this simple approach, which will be explained below, allows students, post graduates in mathematics, physicists and technicians, and serious mathematicians and researchers to find in this book new interesting results in the theory of integral transforms, special functions, and convolutions. The idea of this approach can be found in various papers of many authors, but systematic discussion and development is realized in this book for the first time. Let us explain briefly the basic points of this approach. As it is known, in the theory of special functions and its applications, the hypergeometric functions play the main role. Besides known elementary functions, this class includes the Gauss's, Bessel's, Kummer's, functions et c. In general case, the hypergeometric functions are defined as a linear combinations of the Mellin-Barnes integrals. These ques tions are extensively discussed in Chapter 1. Moreover, the Mellin-Barnes type integrals can be understood as an inversion Mellin transform from the quotient of products of Euler's gamma-functions. Thus we are led to the general construc tions like the Meijer's G-function and the Fox's H-function.
Price Index Numbers
DOWNLOAD
Author : Naohito Abe
language : en
Publisher: Springer Nature
Release Date : 2025-03-14
Price Index Numbers written by Naohito Abe and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-14 with Business & Economics categories.
This textbook offers a comprehensive yet concise introduction to the theory behind price indices, covering the basics, historical background, necessary mathematical foundations, and contemporary cutting-edge theories. For those looking to study price indices, the most commonly used resources have traditionally been the comprehensive but voluminous CPI Manual, which is aimed at statistical practitioners, or Balk (2008), which, while covering theory concisely, requires advanced mathematical skills. This book is distinctive in that it (1) places emphasis on the relationship between price indices and economic theory, (2) presents cutting-edge methods and topics such as multilateral indices using scanner data and price measurement using Engel curves, and (3) provides explanations of essential mathematical techniques like functional equations, thus enabling self-study from the fundamentals to the forefront of modern index number theory.
Generalized Integral Transforms In Mathematical Finance
DOWNLOAD
Author : Andrey Itkin
language : en
Publisher: World Scientific
Release Date : 2021-10-12
Generalized Integral Transforms In Mathematical Finance written by Andrey Itkin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-12 with Business & Economics categories.
This book describes several techniques, first invented in physics for solving problems of heat and mass transfer, and applies them to various problems of mathematical finance defined in domains with moving boundaries. These problems include: (a) semi-closed form pricing of options in the one-factor models with time-dependent barriers (Bachelier, Hull-White, CIR, CEV); (b) analyzing an interconnected banking system in the structural credit risk model with default contagion; (c) finding first hitting time density for a reducible diffusion process; (d) describing the exercise boundary of American options; (e) calculating default boundary for the structured default problem; (f) deriving a semi-closed form solution for optimal mean-reverting trading strategies; to mention but some.The main methods used in this book are generalized integral transforms and heat potentials. To find a semi-closed form solution, we need to solve a linear or nonlinear Volterra equation of the second kind and then represent the option price as a one-dimensional integral. Our analysis shows that these methods are computationally more efficient than the corresponding finite-difference methods for the backward or forward Kolmogorov PDEs (partial differential equations) while providing better accuracy and stability.We extend a large number of known results by either providing solutions on complementary or extended domains where the solution is not known yet or modifying these techniques and applying them to new types of equations, such as the Bessel process. The book contains several novel results broadly applicable in physics, mathematics, and engineering.
General Relativity
DOWNLOAD
Author : Leonard Susskind
language : en
Publisher: Hachette UK
Release Date : 2023-01-10
General Relativity written by Leonard Susskind and has been published by Hachette UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-10 with Science categories.
The latest volume in the New York Times–bestselling physics series explains Einstein’s masterpiece: the general theory of relativity He taught us classical mechanics, quantum mechanics, and special relativity. Now, physicist Leonard Susskind, assisted by a new collaborator, André Cabannes, returns to tackle Einstein’s general theory of relativity. Starting from the equivalence principle and covering the necessary mathematics of Riemannian spaces and tensor calculus, Susskind and Cabannes explain the link between gravity and geometry. They delve into black holes, establish Einstein field equations, and solve them to describe gravity waves. The authors provide vivid explanations that, to borrow a phrase from Einstein himself, are as simple as possible (but no simpler). An approachable yet rigorous introduction to one of the most important topics in physics, General Relativity is a must-read for anyone who wants a deeper knowledge of the universe’s real structure.
Game Development For Ios With Unity3d
DOWNLOAD
Author : Jeff W. Murray
language : en
Publisher: CRC Press
Release Date : 2012-07-26
Game Development For Ios With Unity3d written by Jeff W. Murray and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-26 with Computers categories.
Demystifies the Processes of Game Development Game Development for iOS with Unity3D takes you through the complete process of Unity iOS game development. A game developer for over 12 years, the author presents production-proven techniques and valuable tips and tricks needed to plan, build, test, and launch games for the iPhone, iPod, and iPad. He walks you through all the necessary procedures, including how to publish your game to the App Store. Encompasses the Whole Range of iOS Game Development This practical book begins with advice on writing a game design document and getting Apple developer certification. It then covers the build processes of the Unity Remote application and explains how to use the Unity editor. After focusing on debugging and optimization, the author describes tips for designing and marketing a successful App Store page. The book also features two iOS-ready games to explore, adapt, and play. Source files for the game examples are available at www.crcpress.com. Guides You in Creating a Functional iOS Game Accessible to indie game developers and small- to medium-sized studios, this hands-on guide gives you the tools and knowledge needed to start building and launching iOS games. It helps you create games using Unity3D and publish them to the App Store.
Einstein Gravity In A Nutshell
DOWNLOAD
Author : A. Zee
language : en
Publisher: Princeton University Press
Release Date : 2013-05-05
Einstein Gravity In A Nutshell written by A. Zee and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-05 with Science categories.
An ideal introduction to Einstein's general theory of relativity This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers)
The Oxford Linear Algebra For Scientists
DOWNLOAD
Author : Andre Lukas
language : en
Publisher: Oxford University Press
Release Date : 2022-05-12
The Oxford Linear Algebra For Scientists written by Andre Lukas and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-12 with Science categories.
This textbook provides a modern introduction to linear algebra, a mathematical discipline every first year undergraduate student in physics and engineering must learn. A rigorous introduction into the mathematics is combined with many examples, solved problems, and exercises as well as scientific applications of linear algebra. These include applications to contemporary topics such as internet search, artificial intelligence, neural networks, and quantum computing, as well as a number of more advanced topics, such as Jordan normal form, singular value decomposition, and tensors, which will make it a useful reference for a more experienced practitioner. Structured into 27 chapters, it is designed as a basis for a lecture course and combines a rigorous mathematical development of the subject with a range of concisely presented scientific applications. The main text contains many examples and solved problems to help the reader develop a working knowledge of the subject and every chapter comes with exercises.
Special Functions And Analysis Of Differential Equations
DOWNLOAD
Author : Praveen Agarwal
language : en
Publisher: CRC Press
Release Date : 2020-09-08
Special Functions And Analysis Of Differential Equations written by Praveen Agarwal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-08 with Mathematics categories.
Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new unified presentation and extensive development of special functions associated with fractional calculus are necessary tools, being related to the theory of differentiation and integration of arbitrary order (i.e., fractional calculus) and to the fractional order (or multi-order) differential and integral equations. This book provides learners with the opportunity to develop an understanding of advancements of special functions and the skills needed to apply advanced mathematical techniques to solve complex differential equations and Partial Differential Equations (PDEs). Subject matters should be strongly related to special functions involving mathematical analysis and its numerous applications. The main objective of this book is to highlight the importance of fundamental results and techniques of the theory of complex analysis for differential equations and PDEs and emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Specific topics include but are not limited to Partial differential equations Least squares on first-order system Sequence and series in functional analysis Special functions related to fractional (non-integer) order control systems and equations Various special functions related to generalized fractional calculus Operational method in fractional calculus Functional analysis and operator theory Mathematical physics Applications of numerical analysis and applied mathematics Computational mathematics Mathematical modeling This book provides the recent developments in special functions and differential equations and publishes high-quality, peer-reviewed book chapters in the area of nonlinear analysis, ordinary differential equations, partial differential equations, and related applications.