An Introduction To Differential Algebra
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An Introduction To Differential Algebra
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Author : Irving Kaplansky
language : en
Publisher:
Release Date : 1976
An Introduction To Differential Algebra written by Irving Kaplansky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Algebra, Differential categories.
An Introduction To Differential Algebra
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Author : Irving Kaplansky (Mathematiker)
language : fr
Publisher:
Release Date : 1957
An Introduction To Differential Algebra written by Irving Kaplansky (Mathematiker) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Differential Algebraic Groups Of Finite Dimension
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Author : Alexandru Buium
language : en
Publisher: Springer
Release Date : 2006-11-15
Differential Algebraic Groups Of Finite Dimension written by Alexandru Buium and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Differential algebraic groups were introduced by P. Cassidy and E. Kolchin and are, roughly speaking, groups defined by algebraic differential equations in the same way as algebraic groups are groups defined by algebraic equations. The aim of the book is two-fold: 1) the provide an algebraic geometer's introduction to differential algebraic groups and 2) to provide a structure and classification theory for the finite dimensional ones. The main idea of the approach is to relate this topic to the study of: a) deformations of (not necessarily linear) algebraic groups and b) deformations of their automorphisms. The reader is assumed to possesssome standard knowledge of algebraic geometry but no familiarity with Kolchin's work is necessary. The book is both a research monograph and an introduction to a new topic and thus will be of interest to a wide audience ranging from researchers to graduate students.
Differential Algebra And Related Topics
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Author : Li Guo
language : en
Publisher: World Scientific
Release Date : 2002
Differential Algebra And Related Topics written by Li Guo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Differential algebra explores properties of solutions of systems of (ordinary or partial, linear or non-linear) differential equations from an algebraic point of view. It includes as special cases algebraic systems as well as differential systems with algebraic constraints. This algebraic theory of Joseph F Ritt and Ellis R Kolchin is further enriched by its interactions with algebraic geometry, Diophantine geometry, differential geometry, model theory, control theory, automatic theorem proving, combinatorics, and difference equations. Differential algebra now plays an important role in computational methods such as symbolic integration and symmetry analysis of differential equations. These proceedings consist of tutorial and survey papers presented at the Second International Workshop on Differential Algebra and Related Topics at Rutgers University, Newark in April 2007. As a sequel to the proceedings of the First International Workshop, this volume covers more related subjects, and provides a modern and introductory treatment to many facets of differential algebra, including surveys of known results, open problems, and new, emerging, directions of research. It is therefore an excellent companion and reference text for graduate students and researchers.
Introduction To Differential Algebra
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Author : David K. Harrison
language : en
Publisher:
Release Date : 1953
Introduction To Differential Algebra written by David K. Harrison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.
Differential Galois Theory Through Riemann Hilbert Correspondence
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Author : Jacques Sauloy
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-12-07
Differential Galois Theory Through Riemann Hilbert Correspondence written by Jacques Sauloy 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 2016-12-07 with Mathematics categories.
Differential Galois theory is an important, fast developing area which appears more and more in graduate courses since it mixes fundamental objects from many different areas of mathematics in a stimulating context. For a long time, the dominant approach, usually called Picard-Vessiot Theory, was purely algebraic. This approach has been extensively developed and is well covered in the literature. An alternative approach consists in tagging algebraic objects with transcendental information which enriches the understanding and brings not only new points of view but also new solutions. It is very powerful and can be applied in situations where the Picard-Vessiot approach is not easily extended. This book offers a hands-on transcendental approach to differential Galois theory, based on the Riemann-Hilbert correspondence. Along the way, it provides a smooth, down-to-earth introduction to algebraic geometry, category theory and tannakian duality. Since the book studies only complex analytic linear differential equations, the main prerequisites are complex function theory, linear algebra, and an elementary knowledge of groups and of polynomials in many variables. A large variety of examples, exercises, and theoretical constructions, often via explicit computations, offers first-year graduate students an accessible entry into this exciting area.
Differential Algebra
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Author : Joseph Fels Ritt
language : en
Publisher: American Mathematical Soc.
Release Date : 1950-12-31
Differential Algebra written by Joseph Fels Ritt 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 1950-12-31 with Mathematics categories.
A gigantic task undertaken by J. F. Ritt and his collaborators in the 1930's was to give the classical theory of nonlinear differential equations, similar to the theory created by Emmy Noether and her school for algebraic equations and algebraic varieties. The current book presents the results of 20 years of work on this problem. The book quickly became a classic, and thus far, it remains one of the most complete and valuable accounts of differential algebra and its applications.
An Introduction To Differential Equations And Linear Algebra
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Author : Stephen W. Goode
language : en
Publisher:
Release Date : 1991
An Introduction To Differential Equations And Linear Algebra written by Stephen W. Goode and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Algebras, Linear categories.
Introduction To Linear Algebra And Differential Equations
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Author : John Warren Dettman
language : en
Publisher: McGraw-Hill Companies
Release Date : 1974
Introduction To Linear Algebra And Differential Equations written by John Warren Dettman and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
Algebraic Approach To Differential Equations
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Author : Dung Trang Le
language : en
Publisher: World Scientific
Release Date : 2010-05-18
Algebraic Approach To Differential Equations written by Dung Trang Le and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-18 with Mathematics categories.
Mixing elementary results and advanced methods, Algebraic Approach to Differential Equations aims to accustom differential equation specialists to algebraic methods in this area of interest. It presents material from a school organized by The Abdus Salam International Centre for Theoretical Physics (ICTP), the Bibliotheca Alexandrina, and the International Centre for Pure and Applied Mathematics (CIMPA).