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Symmetry methods have long been recognized to be of great importance for the study of the differential equations. This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented so that graduate students and researchers can readily learn to use them. Following an exposition of the applications, the book develops the underlying theory. Many of the topics are presented in a novel way, with an emphasis on explicit examples and computations. Further examples, as well as new theoretical developments, appear in the exercises at the end of each
Symmetry methods have long been recognized to be of great importance for the study of the differential equations. This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented
An introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to
Originally published by John Wiley & Sons in 1982, Partial Differential Equations for Scientists and Engineers was reprinted by Dover in 1993. Each chapter of the text contains a selection of relevant problems, with answers to selected problems. The treatment is now supplemented by this complete
This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d'Alembert and Euler; Fourier's solutions to the heat equation and the
The ideal review for your partial differential equations course More than 40 million students have trusted Schaum's Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum's Outlines cover everything from math to science,
Provides a lively and accessible introduction to the numerical solution of stochastic differential equations with the aim of making this subject available to the widest possible readership. The book presents an outline of the underlying convergence and stability theory while avoiding technical
Topological Groups.- Simply Connected Spaces and Groups.- Analytic Properties of Linear Groups.- Manifolds and Lie Group.- The Lie Algebra of a Lie Group.- The Exponential Map for Lie
Make sense of these difficult equations Improve your problem-solving skills Practice with clear, concise examples Score higher on standardized tests and exams Get the confidence and the skills you need to master differential equations Need to know how to solve differential equations? This
A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises.Starting
The first two chapters of this book have been thoroughly revised and sig- nificantly expanded. Sections have been added on elementary methods of in- tegration (on homogeneous and inhomogeneous first-order linear equations and on homogeneous and quasi-homogeneous equations), on first-order linear
This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main
'Chevalley's most important contribution to mathematics is certainly his work on group theory. . . . Theory of Lie Groups] was the first systematic exposition of the foundations of Lie group theory consistently adopting the global viewpoint, based on the notion of analytic manifold. This book
This edition of the invaluable text Modern Differential Geometry for Physicists contains an additional chapter that introduces some of the basic ideas of general topology needed in differential geometry. A number of small corrections and additions have also been made.These lecture notes are the
This monograph on the applications of cube complexes constitutes a breakthrough in the fields of geometric group theory and 3-manifold topology. Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory that generalizes ideas
Master the usage of s-parameters in signal integrity applications and gain full understanding of your simulation and measurement environment with this rigorous and practical guide. Solve specific signal integrity problems including calculation of the s-parameters of a network, linear simulation of
The applications of Artificial Intelligence lie all around us; in our homes, schools and offices, in our cinemas, in art galleries and -- not least -- on the Internet. The results of Artificial Intelligence have been invaluable to biologists, psychologists, and linguists in helping to understand
Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied
In this new edition of the top-selling coursebook, seasoned historians Peter J. Bowler and Iwan Rhys Morus expand on their authoritative survey of how the development of science has shaped our world. Exploring both the history of science and its influence on modern thought, the authors chronicle
The most gripping psychological thriller you'll read this year - perfect for fans of Lisa Jewell, Mark Edwards, Claire McGowan, TM Logan and KL Slater... 'This is a real page turner. I finished it in one go!' MARTINA COLE 'A.J. Park is a master of suspense who knows how to keep readers hovering
How marginalized groups use Twitter to advance counter-narratives, preempt political spin, and build diverse networks of dissent.The power of hashtag activism became clear in 2011, when #IranElection served as an organizing tool for Iranians protesting a disputed election and offered a global
A heartbreaking, soul-baring novel about the repercussions of choice from the award-winning author of The Welsh Girl and The
Michael Shea, one of the foremost experts on myofascial release, presents straightforward, practical instructions for dramatically releasing pain and restriction of motion in the body's fascia, muscles, and connective tissue. He introduces a soft tissue, hands-on approach for massage therapists,