Hypergeometric Functions My Love PDF Download
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| Author | : Masaaki Yoshida |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 301 |
| Release | : 2013-06-29 |
| Genre | : Technology & Engineering |
| ISBN | : 3322901661 |
Download Hypergeometric Functions, My Love Book in PDF, ePub and Kindle
The classical story - of the hypergeometric functions, the configuration space of 4 points on the projective line, elliptic curves, elliptic modular functions and the theta functions - now evolves, in this book, to the story of hypergeometric funktions in 4 variables, the configuration space of 6 points in the projective plane, K3 surfaces, theta functions in 4 variables. This modern theory has been established by the author and his collaborators in the 1990's; further development to different aspects is expected. It leads the reader to a fascinating 4-dimensional world. The author tells the story casually and visually in a plain language, starting form elementary level such as equivalence relations, the exponential function, ... Undergraduate students should be able to enjoy the text.
| Author | : George Gasper |
| Publisher | : |
| Total Pages | : 456 |
| Release | : 2011-02-25 |
| Genre | : Mathematics |
| ISBN | : 0511889186 |
Download Basic Hypergeometric Series Book in PDF, ePub and Kindle
Significant revision of classic reference in special functions.
| Author | : Rolf-Peter Holzapfel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 437 |
| Release | : 2007-06-28 |
| Genre | : Mathematics |
| ISBN | : 3764382848 |
Download Arithmetic and Geometry Around Hypergeometric Functions Book in PDF, ePub and Kindle
This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray University, Istanbul, June 13-25, 2005. It covers a wide range of topics related to hypergeometric functions, thus giving a broad perspective of the state of the art in the field.
| Author | : Kazuhiko Aomoto |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 327 |
| Release | : 2011-05-21 |
| Genre | : Mathematics |
| ISBN | : 4431539387 |
Download Theory of Hypergeometric Functions Book in PDF, ePub and Kindle
This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in an open affine space, as a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally satisfy a holonomic system of linear differential equations with respect to the coefficients of polynomials and also satisfy a holonomic system of linear difference equations with respect to the exponents. These are deduced from Grothendieck-Deligne’s rational de Rham cohomology on the one hand, and by multidimensional extension of Birkhoff’s classical theory on analytic difference equations on the other.
| Author | : Jenny Fuselier |
| Publisher | : American Mathematical Society |
| Total Pages | : 138 |
| Release | : 2022-11-10 |
| Genre | : Mathematics |
| ISBN | : 1470454335 |
Download Hypergeometric Functions Over Finite Fields Book in PDF, ePub and Kindle
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| Author | : Yang Lei |
| Publisher | : World Scientific |
| Total Pages | : 316 |
| Release | : 2018-03-13 |
| Genre | : Mathematics |
| ISBN | : 9813209496 |
Download Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions Book in PDF, ePub and Kindle
Our book gives the complex counterpart of Klein's classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations (algebra), the system of partial differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact dominated by the structure of a single object, the Hessian group 𝔊′216. It provides another beautiful example on the fundamental unity of mathematics.
| Author | : Thu Pham-gia |
| Publisher | : World Scientific |
| Total Pages | : 494 |
| Release | : 2021-05-05 |
| Genre | : Business & Economics |
| ISBN | : 9811235309 |
Download Multivariate Normal Distribution, The: Theory And Applications Book in PDF, ePub and Kindle
This book provides the reader with user-friendly applications of normal distribution. In several variables it is called the multinormal distribution which is often handled using matrices for convenience. The author seeks to make the arguments less abstract and hence, starts with the univariate case and moves progressively toward the vector and matrix cases. The approach used in the book is a gradual one, going from one scalar variable to a vector variable and to a matrix variable. The author presents the unified aspect of normal distribution, as well as addresses several other issues, including random matrix theory in physics. Other well-known applications, such as Herrnstein and Murray's argument that human intelligence is substantially influenced by both inherited and environmental factors, will be discussed in this book. It is a better predictor of many personal dynamics — including financial income, job performance, birth out of wedlock, and involvement in crime — than are an individual's parental socioeconomic status, or education level, and deserve to be mentioned and discussed.
| Author | : Michael Joswig |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 332 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 3662051486 |
Download Algebra, Geometry and Software Systems Book in PDF, ePub and Kindle
A collection of surveys and research papers on mathematical software and algorithms. The common thread is that the field of mathematical applications lies on the border between algebra and geometry. Topics include polyhedral geometry, elimination theory, algebraic surfaces, Gröbner bases, triangulations of point sets and the mutual relationship. This diversity is accompanied by the abundance of available software systems which often handle only special mathematical aspects. This is why the volume also focuses on solutions to the integration of mathematical software systems. This includes low-level and XML based high-level communication channels as well as general frameworks for modular systems.
| Author | : Fouad El Zein |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 305 |
| Release | : 2010-03-14 |
| Genre | : Mathematics |
| ISBN | : 303460209X |
Download Arrangements, Local Systems and Singularities Book in PDF, ePub and Kindle
This volume comprises the Lecture Notes of the CIMPA/TUBITAK Summer School Arrangements, Local systems and Singularities held at Galatasaray University, Istanbul during June 2007. The volume is intended for a large audience in pure mathematics, including researchers and graduate students working in algebraic geometry, singularity theory, topology and related fields. The reader will find a variety of open problems involving arrangements, local systems and singularities proposed by the lecturers at the end of the school.
| Author | : Stefan Weinzierl |
| Publisher | : Springer Nature |
| Total Pages | : 852 |
| Release | : 2022-06-11 |
| Genre | : Science |
| ISBN | : 3030995585 |
Download Feynman Integrals Book in PDF, ePub and Kindle
This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics. Feynman integrals are indispensable for precision calculations in quantum field theory. At the same time, they are also fascinating from a mathematical point of view. Topics from quantum field theory and advanced mathematics are introduced as needed. The book covers modern developments in the field of Feynman integrals. Topics included are: representations of Feynman integrals, integration-by-parts, differential equations, intersection theory, multiple polylogarithms, Gelfand-Kapranov-Zelevinsky systems, coactions and symbols, cluster algebras, elliptic Feynman integrals, and motives associated with Feynman integrals. This volume is aimed at a) students at the master's level in physics or mathematics, b) physicists who want to learn how to calculate Feynman integrals (for whom state-of-the-art techniques and computations are provided), and c) mathematicians who are interested in the mathematical aspects underlying Feynman integrals. It is, indeed, the interwoven nature of their physical and mathematical aspects that make Feynman integrals so enthralling.
