Equivalence, Invariants and Symmetry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivalence, Invariants and Symmetry write by Peter J. Olver. This book was released on 1995-06-30. Equivalence, Invariants and Symmetry available in PDF, EPUB and Kindle. Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.
Equivalence
Equivalence - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivalence write by Richard D. J. Atkins. This book was released on 1994. Equivalence available in PDF, EPUB and Kindle.
Symmetries, Differential Equations and Applications
Symmetries, Differential Equations and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetries, Differential Equations and Applications write by Victor G. Kac. This book was released on 2018-11-04. Symmetries, Differential Equations and Applications available in PDF, EPUB and Kindle. Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics. The selected and peer-reviewed contributions gathered here cover Lie theory and symmetry methods in differential equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability, representation theory of Lie algebras, classification problems, conservation laws, and geometrical methods. The SDEA III, held in honour of the Centenary of Noether’s Theorem, proven by the prominent German mathematician Emmy Noether, at Istanbul Technical University in August 2017 provided a productive forum for academic researchers, both junior and senior, and students to discuss and share the latest developments in the theory and applications of Lie symmetry groups. This work has an interdisciplinary appeal and will be a valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and finance.
Introduction to the Algebraic Theory of Invariants of Differential Equations
Introduction to the Algebraic Theory of Invariants of Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to the Algebraic Theory of Invariants of Differential Equations write by Konstantin Sergeevich Sibirskiĭ. This book was released on 1988. Introduction to the Algebraic Theory of Invariants of Differential Equations available in PDF, EPUB and Kindle. Considers polynominal invariants & comitants of autonomous systems of differential equations with right-hand sides relative to various transformation groups of phase space. Contains an in-depth discussion of the two-dimensional system with quadratic right-hand sides. Features numerous applications to the qualitative theory of differential equations.
Structure and Equivalence
Structure and Equivalence - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Structure and Equivalence write by Neil Dewar. This book was released on 2022-03-17. Structure and Equivalence available in PDF, EPUB and Kindle. This Element explores what it means for two theories in physics to be equivalent (or inequivalent), and what lessons can be drawn about their structure as a result. It does so through a twofold approach. On the one hand, it provides a synoptic overview of the logical tools that have been employed in recent philosophy of physics to explore these topics: definition, translation, Ramsey sentences, and category theory. On the other, it provides a detailed case study of how these ideas may be applied to understand the dynamical and spatiotemporal structure of Newtonian mechanics - in particular, in light of the symmetries of Newtonian theory. In so doing, it brings together a great deal of exciting recent work in the literature, and is sure to be a valuable companion for all those interested in these topics.
