This text helps students foster computational skills and intuitive understanding with a careful balance of theory, applications and optional materials. This edition offers revised coverage in several areas and a new section looking at applications to differential geometry, physics and forms of life as well as a large number of new exercises and ...
Designed for courses in advanced calculus and introductory real analysis, Elementary Classical Analysis strikes a careful balance between pure and applied mathematics with an emphasis on specific techniques important to classical analysis without vector calculus or complex analysis. The book includes detailed coverage of the foundations of the ...
'I think I would have enjoyed learning my complex analysis from this book ...' The Mathematical Gazette This highly respected text is designed for mathematics, physical science and engineering students familiar with calculus, but new to complex analysis. A major feature is the clearly written text, which motivates students to study by themselves, ...
The Taliban are yet another manifestation of the growth of radical Islam worldwide. This book explores what they stand for and the factors leading to their rapid rise to military and political dominance over Afghanistan. It considers the many influences within the country, the Indian sub-continent and the Middle East. It describes the war which ...
}In the Spring of 1966, I gave a series of lectures in the Princeton University Department of Physics, aimed at recent mathematical results in mechanics, especially the work of Kolmogorov, Arnold, and Moser and its application to Laplaces question of stability of the solar system. Mr. Marsdens notes of the lectures, with some revision and ...
This book, the third of a three-volume work, is the outgrowth of the authors' experience teaching calculus at Berkeley. It is concerned with multivariable calculus, and begins with the necessary material from analytical geometry. It goes on to cover partial differention, the gradient and its applications, multiple integration, and the theorems of ...
Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.
This is the second book of a three-volume work called "Calculus" by Jerrold Marsden and Alan Weinstein. This book is the outgrowth of the authors experience teaching calculus at Berkeley. It covers techniques and applications of integration, infinite series, and differential equations. Throughout the book, the authors motivate the study of ...
The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma ...
This book grew from lectures given by the authors at New York University, the University of Utah, and Michigan State University. The material is written for students who have had only one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous ...
Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic theory and applications of mechanics with an emphasis on the role of symmetry. In recent times, the interest in mechanics, and in symmetry techniques in particular, has ...
One of the world's foremost geometers, Alan Weinstein has made deep contributions to symplectic and differential geometry, Lie theory, mechanics, and related fields. Written in his honor, the invited papers in this volume reflect the active and vibrant research in these areas and are a tribute to Weinstein's ongoing influence. The well-recognized ...
The goal of this text is to present some of the basic ideas of fluid mechanics in a mathematically attractive manner, to present the physical background and motivation for some constructions that have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems, and to interest some of the students ...
This volume is a collection of fourteen papers, written by well-known authors, on aspects of applied mathematics, fluid dynamics, combustion, kinetic theory, condensed matter physics, computational neuroscience, biophysics and closely related areas. There are two uniting themes. First, the papers celebrate the long and durable contributions of ...
A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation and Hamiltonian systems in diverse applications are explored.
In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special emphasis is given to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. ...
Designed for mathematics, engineering and physical science students taking complex analysis for the first time, this book combines an exposition of basic theory with a variety of applications to the physical sciences and engineering. Major changes and improvements undertaken for this new edition include: the rewriting of the proof of Cauchy's ...
The use of geometric methods in classical mechanics has proven to be a fruitful exercise, with the results being of wide application to physics and engineering. Here Professor Marsden concentrates on these geometric aspects, and especially on symmetry techniques. The main points he covers are: the stability of relative equilibria, which is ...
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