Hessian Polyhedra Invariant Theory And Appell Hypergeometric Functions
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Author |
: Lei Yang |
Publisher |
: World Scientific |
Total Pages |
: 317 |
Release |
: 2018-03-13 |
ISBN-10 |
: 9789813209497 |
ISBN-13 |
: 9813209496 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions by : Lei Yang
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 $mathfrak{G}’_{216}$. It provides another beautiful example on the fundamental unity of mathematics.
Author |
: Lei Yang (Mathematics professor) |
Publisher |
: |
Total Pages |
: |
Release |
: 2018 |
ISBN-10 |
: 9813209488 |
ISBN-13 |
: 9789813209480 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Hessian Polyhedra, Invariant Theory, and Appell Hypergeometric Functions by : Lei Yang (Mathematics professor)
Author |
: M Zuhair Nashed |
Publisher |
: World Scientific |
Total Pages |
: 577 |
Release |
: 2018-01-12 |
ISBN-10 |
: 9789813228894 |
ISBN-13 |
: 981322889X |
Rating |
: 4/5 (94 Downloads) |
Synopsis Frontiers In Orthogonal Polynomials And Q-series by : M Zuhair Nashed
This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. This collection is based on the invited lectures by well-known contributors from the International Conference on Orthogonal Polynomials and q-Series, that was held at the University of Central Florida in Orlando, on May 10-12, 2015. The conference was dedicated to Professor Mourad Ismail on his 70th birthday.The editors strived for a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.
Author |
: Michael Joswig |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 332 |
Release |
: 2013-03-14 |
ISBN-10 |
: 9783662051481 |
ISBN-13 |
: 3662051486 |
Rating |
: 4/5 (81 Downloads) |
Synopsis Algebra, Geometry and Software Systems by : Michael Joswig
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 |
: Z. X. Wang |
Publisher |
: World Scientific |
Total Pages |
: 720 |
Release |
: 1989 |
ISBN-10 |
: 997150667X |
ISBN-13 |
: 9789971506674 |
Rating |
: 4/5 (7X Downloads) |
Synopsis Special Functions by : Z. X. Wang
Contains the various principal special functions in common use and their basic properties and manipulations. Discusses expansions of functions in infinite series and infinite product and the asymptotic expansion of functions. For physicists, engineers, and mathematicians. Acidic paper. Paper edition (unseen), $38. Annotation copyrighted by Book News, Inc., Portland, OR
Author |
: R. Bruce King |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 159 |
Release |
: 2009-01-16 |
ISBN-10 |
: 9780817648497 |
ISBN-13 |
: 0817648496 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Beyond the Quartic Equation by : R. Bruce King
The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen transformations, and some elementary properties of elliptic function in order to make some of the key ideas more accessible to less sophisticated readers. The book also includes a discussion of the much simpler algorithms for roots of the general quadratic, cubic, and quartic equations before discussing the algorithm for the roots of the general quintic equation. A brief discussion of algorithms for roots of general equations of degrees higher than five is also included. "If you want something truly unusual, try [this book] by R. Bruce King, which revives some fascinating, long-lost ideas relating elliptic functions to polynomial equations." --New Scientist
Author |
: Bo Lindqvist |
Publisher |
: World Scientific |
Total Pages |
: 569 |
Release |
: 2003 |
ISBN-10 |
: 9789812383211 |
ISBN-13 |
: 9812383212 |
Rating |
: 4/5 (11 Downloads) |
Synopsis Mathematical and Statistical Methods in Reliability by : Bo Lindqvist
This book contains extended versions of carefully selected and reviewed papers presented at the Third International Conference on Mathematical Methods in Reliability, held in Norway in 2002. It provides an overview of current research activities in reliability theory. The authors are all leading experts in the field. Readership: Graduate students, academics and professionals in probability & statistics, reliability analysis, survival analysis, industrial engineering, software engineering, operations research and applied mathematics research.
Author |
: Arak M Mathai |
Publisher |
: World Scientific |
Total Pages |
: 291 |
Release |
: 2017-11-10 |
ISBN-10 |
: 9789813227545 |
ISBN-13 |
: 9813227540 |
Rating |
: 4/5 (45 Downloads) |
Synopsis Matrix Methods And Fractional Calculus by : Arak M Mathai
Fractional calculus in terms of mathematics and statistics and its applications to problems in natural sciences is NOT yet part of university teaching curricula. This book is one attempt to provide an approach to include topics of fractional calculus into university curricula. Additionally the material is useful for people who do research work in the areas of special functions, fractional calculus, applications of fractional calculus, and mathematical statistics.
Author |
: Costas Efthimiou |
Publisher |
: World Scientific |
Total Pages |
: 156 |
Release |
: 2014-03-07 |
ISBN-10 |
: 9789814596718 |
ISBN-13 |
: 981459671X |
Rating |
: 4/5 (18 Downloads) |
Synopsis Spherical Harmonics In P Dimensions by : Costas Efthimiou
The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before exploring the main subject matter.
Author |
: Jianqiang Zhao |
Publisher |
: World Scientific |
Total Pages |
: 618 |
Release |
: 2016-03-07 |
ISBN-10 |
: 9789814689410 |
ISBN-13 |
: 9814689416 |
Rating |
: 4/5 (10 Downloads) |
Synopsis Multiple Zeta Functions, Multiple Polylogarithms And Their Special Values by : Jianqiang Zhao
This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research.The book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relations to other mathematical subjects, and various generalizations such as their q-analogs and their finite versions (by taking partial sums modulo suitable prime powers). Historical notes and exercises are provided at the end of each chapter.