Forms Of Expansion
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Bilinear Forms And Zonal Polynomials
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Author : Arak M. Mathai
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Bilinear Forms And Zonal Polynomials written by Arak M. Mathai 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 book deals with bilinear forms in real random vectors and their generalizations as well as zonal polynomials and their applications in handling generalized quadratic and bilinear forms. The book is mostly self-contained. It starts from basic principles and brings the readers to the current research level in these areas. It is developed with detailed proofs and illustrative examples for easy readability and self-study. Several exercises are proposed at the end of the chapters. The complicated topic of zonal polynomials is explained in detail in this book. The book concentrates on the theoretical developments in all the topics covered. Some applications are pointed out but no detailed application to any particular field is attempted. This book can be used as a textbook for a one-semester graduate course on quadratic and bilinear forms and/or on zonal polynomials. It is hoped that this book will be a valuable reference source for graduate students and research workers in the areas of mathematical statistics, quadratic and bilinear forms and their generalizations, zonal polynomials, invariant polynomials and related topics, and will benefit statisticians, mathematicians and other theoretical and applied scientists who use any of the above topics in their areas. Chapter 1 gives the preliminaries needed in later chapters, including some Jacobians of matrix transformations. Chapter 2 is devoted to bilinear forms in Gaussian real ran dom vectors, their properties, and techniques specially developed to deal with bilinear forms where the standard methods for handling quadratic forms become complicated.
Asymptotic Methods For Integrals
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Author : Nico M Temme
language : en
Publisher: World Scientific
Release Date : 2014-10-31
Asymptotic Methods For Integrals written by Nico M Temme and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-31 with Mathematics categories.
This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.
The Encyclop Dia Britannica
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Author :
language : en
Publisher:
Release Date : 1893
The Encyclop Dia Britannica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Encyclopedias and dictionaries categories.
The Engineer
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Author :
language : en
Publisher:
Release Date : 2002
The Engineer written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Military engineering categories.
Modernist Form
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Author : John Steven Childs
language : en
Publisher: Susquehanna University Press
Release Date : 1986
Modernist Form written by John Steven Childs and has been published by Susquehanna University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Literary Criticism categories.
Demonstrating the use of practical semiotics, this book illuminates the mystifying work, The Cantos, by Ezra Pound. This first definitive anatomy of Modernism carefully establishes a set of structural elements as a basis for approaching the text.
The Encyclopaedia Britannica
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Author :
language : en
Publisher:
Release Date : 1887
The Encyclopaedia Britannica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1887 with categories.
Proceedings Of The Royal Society Of London
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Author : Royal Society (Great Britain)
language : en
Publisher:
Release Date : 1894
Proceedings Of The Royal Society Of London written by Royal Society (Great Britain) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with Electronic journals categories.
Software Engineering
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Author : Andrea De Lucia
language : en
Publisher: Springer
Release Date : 2013-01-03
Software Engineering written by Andrea De Lucia and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-03 with Computers categories.
Software engineering is widely recognized as one of the most exciting, stimulating, and profitable research areas, with a significant practical impact on the software industry. Thus, training future generations of software engineering researchers and bridging the gap between academia and industry are vital to the field. The International Summer School on Software Engineering (ISSSE), which started in 2003, aims to contribute both to training future researchers and to facilitating the exchange of knowledge between academia and industry. This volume consists of chapters originating from a number of tutorial lectures given in 2009, 2010, and 2011 at the International Summer School on Software Engineering, ISSSE, held in Salerno, Italy. The volume has been organized into three parts, focusing on software measurement and empirical software engineering, software analysis, and software management. The topics covered include software architectures, software product lines, model driven software engineering, mechatronic systems, aspect oriented software development, agile development processes, empirical software engineering, software maintenance, impact analysis, traceability management, software testing, and search-based software engineering.
Harmonic Maass Forms And Mock Modular Forms Theory And Applications
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Author : Kathrin Bringmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-12-15
Harmonic Maass Forms And Mock Modular Forms Theory And Applications written by Kathrin Bringmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-15 with Mathematics categories.
Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10–15 years, this theory has been extended to certain non-holomorphic functions, the so-called “harmonic Maass forms”. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called “mock theta functions” which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.
Correlation Theory Of Chemical Action And Affinity
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Author : Thomas Wright Hall
language : en
Publisher:
Release Date : 1888
Correlation Theory Of Chemical Action And Affinity written by Thomas Wright Hall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1888 with Chemistry categories.