Algebraic Analysis

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Algebraic Analysis Geometry And Number Theory

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Author : Japan-U.S. Mathematics Institute
language : en
Publisher:
Release Date : 1989

Algebraic Analysis Geometry And Number Theory written by Japan-U.S. Mathematics Institute and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

Algebraic Analysis Of Differential Equations

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Author : T. Aoki
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-15

Algebraic Analysis Of Differential Equations written by T. Aoki 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 2009-03-15 with Mathematics categories.

This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the conference "Algebraic Analysis of Differential Equations – from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. This volume is dedicated to Professor Takahiro Kawai, who is one of the creators of microlocal analysis and who introduced the technique of microlocal analysis into exponential asymptotics.

Algebraic Analysis

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Author : Danuta Przeworska-Rolewicz
language : en
Publisher:
Release Date : 1988

Algebraic Analysis written by Danuta Przeworska-Rolewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Foundations Of Algebraic Analysis Pms 37 Volume 37

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Author : Masaki Kashiwara
language : en
Publisher: Princeton University Press
Release Date : 2017-03-14

Foundations Of Algebraic Analysis Pms 37 Volume 37 written by Masaki Kashiwara 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 2017-03-14 with Mathematics categories.

The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device. The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Foundations Of Algebraic Analysis

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Author : Masaki Kashiwara
language : en
Publisher:
Release Date : 1986

Foundations Of Algebraic Analysis written by Masaki Kashiwara and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

The use of algebraic methods for studying analysts is an important theme in modern mathematics. The most significant development in this field is microlocal analysis, that is, the local study of differential equations on cotangent bundles. This treatise provides a thorough description of microlocal analysis starting from its foundations. The book begins with the definition of a hyperfunction. It then carefully develops the microfunction theory and its applications to differential equations and theoretical physics. It also provides a description of microdifferential equations, the microlocalization of linear differential equations. Finally, the authors present the structure theorems for systems of microdifferential equations, where the quantized contact transformations are used as a fundamental device. The microfunction theory, together with the quantized contact transformation theory, constitutes a valuable new viewpoint in linear partial differential equations. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Algebraic Analysis

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Author : D. Przeworska-Rolewicz
language : en
Publisher: Springer
Release Date : 1988-04-30

Algebraic Analysis written by D. Przeworska-Rolewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-04-30 with Mathematics categories.

Approach your problems from the right It isn't that they can't see the solution end and begin with the answers. Then, It is that they can't see the problem. one day, perhaps. you will find the final G. K. Chesterton. The Scandal of Fa question. ther Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mon 0 graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact. that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics~ algebraic geometry interacts with physics; the Minkowsky lemma.

Fundamentals Of Algebraic Microlocal Analysis

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Author : Goro Kato
language : en
Publisher: CRC Press
Release Date : 2020-08-11

Fundamentals Of Algebraic Microlocal Analysis written by Goro Kato and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-11 with Mathematics categories.

"Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."

Algebraic Analysis Of Social Networks

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Author : J. Antonio R. Ostoic
language : en
Publisher: John Wiley & Sons
Release Date : 2021-01-26

Algebraic Analysis Of Social Networks written by J. Antonio R. Ostoic and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-26 with Mathematics categories.

Presented in a comprehensive manner, this book provides a comprehensive foundation in algebraic approaches for the analysis of different types of social networks such as multiple, signed, and affiliation networks. The study of such configurations corresponds to the structural analysis within the social sciences, and the methods applied for the analysis are in the areas of abstract algebra, combinatorics, and graph theory. Current research in social networks has moved toward the examination of more realistic but also more complex social relations by which agents or actors are connected in multiple ways. Addressing this trend, this book offers hands-on training of the algebraic procedures presented along with the computer package multiplex, written by the book’s author specifically to perform analyses of multiple social networks. An introductory section on both complex networks and for R will feature, however the subjects themselves correspond to advanced courses on social network analysis with the specialization on algebraic models and methods.

Algebra And Analysis For Engineers And Scientists

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Author : Anthony N. Michel
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-24

Algebra And Analysis For Engineers And Scientists written by Anthony N. Michel 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 2009-12-24 with Mathematics categories.

Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to familiarize engineering and science students with a great deal of pertinent and applicable mathematics in a rapid and efficient manner without sacrificing rigor. The book is divided into three parts: set theory, algebra, and analysis. It offers a generous number of exercises integrated into the text and features applications of algebra and analysis that have a broad appeal.

Logarithms And Antilogarithms

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Author : D. Przeworska-Rolewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-03-31

Logarithms And Antilogarithms written by D. Przeworska-Rolewicz 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 1998-03-31 with Mathematics categories.

This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with domains and ranges in an algebra over a field of characteristic zero. Amongst the applications of logarithmic and antilogarithmic mappings are the solution of linear and nonlinear equations in algebras of square matrices. Some results may also provide numerical algorithms for the approximation of solutions. This book will be of interest to research mathematicians and other scientists of other disciplines whose work involves the solution of equations.