Marsden, Jerrold E.
Overview
Works:  319 works in 1,371 publications in 8 languages and 20,680 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Contributor, Creator, Thesis advisor, Honoree, Other, Printer 
Classifications:  QA303, 515 
Publication Timeline
.
Most widely held works by
Jerrold E Marsden
Vector calculus by
Jerrold E Marsden(
Book
)
119 editions published between 1970 and 2012 in 6 languages and held by 1,756 WorldCat member libraries worldwide
Now in its fifth edition, Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world. (Midwest)
119 editions published between 1970 and 2012 in 6 languages and held by 1,756 WorldCat member libraries worldwide
Now in its fifth edition, Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world. (Midwest)
A mathematical introduction to fluid mechanics by
Alexandre Joel Chorin(
Book
)
55 editions published between 1979 and 2013 in English and held by 1,288 WorldCat member libraries worldwide
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high Ievel of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research Ievel monographs. Preface This book is based on a oneterm course in fluid mechanics originally taught in the Department of Mathematics of the University of California, Berkeley, during the spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approximation procedures
55 editions published between 1979 and 2013 in English and held by 1,288 WorldCat member libraries worldwide
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high Ievel of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research Ievel monographs. Preface This book is based on a oneterm course in fluid mechanics originally taught in the Department of Mathematics of the University of California, Berkeley, during the spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approximation procedures
Basic complex analysis by
Jerrold E Marsden(
Book
)
40 editions published between 1973 and 2012 in English and Spanish and held by 1,228 WorldCat member libraries worldwide
40 editions published between 1973 and 2012 in English and Spanish and held by 1,228 WorldCat member libraries worldwide
Foundations of mechanics by
Ralph Abraham(
Book
)
115 editions published between 1967 and 2011 in English and Undetermined and held by 939 WorldCat member libraries worldwide
115 editions published between 1967 and 2011 in English and Undetermined and held by 939 WorldCat member libraries worldwide
Manifolds, tensor analysis, and applications by
Ralph Abraham(
Book
)
41 editions published between 1983 and 2009 in 3 languages and held by 933 WorldCat member libraries worldwide
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 dynamics and control theory are given using both invariant and index notation. The prerequisites required are solid undergraduate courses in linear algebra and advanced calculus
41 editions published between 1983 and 2009 in 3 languages and held by 933 WorldCat member libraries worldwide
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 dynamics and control theory are given using both invariant and index notation. The prerequisites required are solid undergraduate courses in linear algebra and advanced calculus
Elementary classical analysis by
Jerrold E Marsden(
Book
)
35 editions published between 1974 and 2005 in 3 languages and held by 879 WorldCat member libraries worldwide
35 editions published between 1974 and 2005 in 3 languages and held by 879 WorldCat member libraries worldwide
Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems by
Jerrold E Marsden(
Book
)
46 editions published between 1994 and 2011 in English and German and held by 839 WorldCat member libraries worldwide
"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 accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability, and bifurcation, and the study of specific rigid, fluid, plasma, and elastic systems. Introduction to Mechanics and Symmetry lays the basic foundation for these topics and includes numerous applications, making it beneficial to physicists and engineers. This text has specific examples and applications showing how the theory works, and uptodate techniques, all of which make it accessible to a wide variety of readers, especially senior undergraduate and graduate students in mathematics, physics, and engineering."Jacket
46 editions published between 1994 and 2011 in English and German and held by 839 WorldCat member libraries worldwide
"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 accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability, and bifurcation, and the study of specific rigid, fluid, plasma, and elastic systems. Introduction to Mechanics and Symmetry lays the basic foundation for these topics and includes numerous applications, making it beneficial to physicists and engineers. This text has specific examples and applications showing how the theory works, and uptodate techniques, all of which make it accessible to a wide variety of readers, especially senior undergraduate and graduate students in mathematics, physics, and engineering."Jacket
Calculus I by
Jerrold E Marsden(
Book
)
53 editions published between 1980 and 2007 in English and French and held by 600 WorldCat member libraries worldwide
The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition. We list below some of the key features of the book. Examples and Exercises The exercise sets have been carefully constructed to be of maximum use to the students. With few exceptions we adhere to the following policies.  The section exercises are graded into three consecutive groups: (a) The first exercises are routine, modelled almost exactly on the exam ples; these are intended to give students confidence. (b) Next come exercises that are still based directly on the examples and text but which may have variations of wording or which combine different ideas; these are intended to train students to think for themselves. (c) The last exercises in each set are difficult. These are marked with a star (*) and some will challenge even the best students. Difficult does not necessarily mean theoretical; often a starred problem is an interesting application that requires insight into what calculus is really about.  The exercises come in groups of two and often four similar ones
53 editions published between 1980 and 2007 in English and French and held by 600 WorldCat member libraries worldwide
The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition. We list below some of the key features of the book. Examples and Exercises The exercise sets have been carefully constructed to be of maximum use to the students. With few exceptions we adhere to the following policies.  The section exercises are graded into three consecutive groups: (a) The first exercises are routine, modelled almost exactly on the exam ples; these are intended to give students confidence. (b) Next come exercises that are still based directly on the examples and text but which may have variations of wording or which combine different ideas; these are intended to train students to think for themselves. (c) The last exercises in each set are difficult. These are marked with a star (*) and some will challenge even the best students. Difficult does not necessarily mean theoretical; often a starred problem is an interesting application that requires insight into what calculus is really about.  The exercises come in groups of two and often four similar ones
The Hopf bifurcation and its applications by
Jerrold E Marsden(
Book
)
26 editions published between 1976 and 1991 in 4 languages and held by 536 WorldCat member libraries worldwide
The goal of these notes is to give a reasonahly com plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe cific problems, including stability calculations. Historical ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their coworkers starting around 1930. Hopf's basic paper [1] appeared in 1942. Although the term "Poincare AndronovHopf bifurcation" is more accurate (sometimes Friedrichs is also included), the name "Hopf Bifurcation" seems more common, so we have used it. Hopf's crucial contribution was the extension from two dimensions to higher dimensions. The principal technique employed in the body of the text is that of invariant manifolds. The method of Ruelle Takens [1] is followed, with details, examples and proofs added. Several parts of the exposition in the main text come from papers of P. Chernoff, J. Dorroh, O. Lanford and F. Weissler to whom we are grateful. The general method of invariant manifolds is common in dynamical systems and in ordinary differential equations: see for example, Hale [1,2] and Hartman [1]. Of course, other methods are also available. In an attempt to keep the picture balanced, we have included samples of alternative approaches. Specifically, we have included a translation (by L. Howard and N. Kopell) of Hopf's original (and generally unavailable) paper
26 editions published between 1976 and 1991 in 4 languages and held by 536 WorldCat member libraries worldwide
The goal of these notes is to give a reasonahly com plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe cific problems, including stability calculations. Historical ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their coworkers starting around 1930. Hopf's basic paper [1] appeared in 1942. Although the term "Poincare AndronovHopf bifurcation" is more accurate (sometimes Friedrichs is also included), the name "Hopf Bifurcation" seems more common, so we have used it. Hopf's crucial contribution was the extension from two dimensions to higher dimensions. The principal technique employed in the body of the text is that of invariant manifolds. The method of Ruelle Takens [1] is followed, with details, examples and proofs added. Several parts of the exposition in the main text come from papers of P. Chernoff, J. Dorroh, O. Lanford and F. Weissler to whom we are grateful. The general method of invariant manifolds is common in dynamical systems and in ordinary differential equations: see for example, Hale [1,2] and Hartman [1]. Of course, other methods are also available. In an attempt to keep the picture balanced, we have included samples of alternative approaches. Specifically, we have included a translation (by L. Howard and N. Kopell) of Hopf's original (and generally unavailable) paper
Lectures on analysis by
Gustave Choquet(
Book
)
12 editions published between 1969 and 1976 in English and held by 531 WorldCat member libraries worldwide
12 editions published between 1969 and 1976 in English and held by 531 WorldCat member libraries worldwide
Mathematical foundations of elasticity by
Jerrold E Marsden(
Book
)
25 editions published between 1983 and 2012 in English and held by 479 WorldCat member libraries worldwide
This graduatelevel study approaches mathematical foundations of threedimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Relevant problems appear throughout the text. 1983 edition
25 editions published between 1983 and 2012 in English and held by 479 WorldCat member libraries worldwide
This graduatelevel study approaches mathematical foundations of threedimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Relevant problems appear throughout the text. 1983 edition
Properties of infinite dimensional Hamiltonian systems by
Paul R Chernoff(
Book
)
20 editions published in 1974 in English and held by 451 WorldCat member libraries worldwide
20 editions published in 1974 in English and held by 451 WorldCat member libraries worldwide
Foundations of mechanics; a mathematical exposition of classical mechanics by
Ralph Abraham(
Book
)
13 editions published between 1967 and 1991 in 3 languages and held by 438 WorldCat member libraries worldwide
13 editions published between 1967 and 1991 in 3 languages and held by 438 WorldCat member libraries worldwide
Lectures on geometric methods in mathematical physics by
Jerrold E Marsden(
Book
)
23 editions published between 1981 and 1984 in English and Undetermined and held by 437 WorldCat member libraries worldwide
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
23 editions published between 1981 and 1984 in English and Undetermined and held by 437 WorldCat member libraries worldwide
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
Lectures on mechanics by
Jerrold E Marsden(
Book
)
22 editions published between 1991 and 2000 in English and Undetermined and held by 432 WorldCat member libraries worldwide
Cover; Series Page; Title; Copyright; Contents; Preface; Chapter 1 Introduction; 1.1 The Classical Water Molecule and the Ozone Molecule; 1.2 Hamiltonian Formulation; 1.3 Geometry, Symmetry, and Reduction; 1.4 Stability; 1.5 Geometric Phases; 1.6 The Rotation Group and the Poincare Sphere; Chapter 2 A Crash Course in Geometric Mechanics; 2.1 Symplectic and Poisson Manifolds; 2.2 The Flow of a Hamiltonian Vector Field; 2.3 Cotangent Bundles; 2.4 Lagrangian Mechanics; 2.5 LiePoisson Structures; 2.6 The Rigid Body; 2.7 Momentum Maps; 2.8 Reduction; 2.9 Singularities and Symmetry
22 editions published between 1991 and 2000 in English and Undetermined and held by 432 WorldCat member libraries worldwide
Cover; Series Page; Title; Copyright; Contents; Preface; Chapter 1 Introduction; 1.1 The Classical Water Molecule and the Ozone Molecule; 1.2 Hamiltonian Formulation; 1.3 Geometry, Symmetry, and Reduction; 1.4 Stability; 1.5 Geometric Phases; 1.6 The Rotation Group and the Poincare Sphere; Chapter 2 A Crash Course in Geometric Mechanics; 2.1 Symplectic and Poisson Manifolds; 2.2 The Flow of a Hamiltonian Vector Field; 2.3 Cotangent Bundles; 2.4 Lagrangian Mechanics; 2.5 LiePoisson Structures; 2.6 The Rigid Body; 2.7 Momentum Maps; 2.8 Reduction; 2.9 Singularities and Symmetry
Geometric methods in mathematical physics : proceedings of an NSFCBMS conference held at the University of Lowell, Massachusetts,
March 1923, 1979 by
Gnther Kaiser(
Book
)
29 editions published in 1980 in 3 languages and held by 432 WorldCat member libraries worldwide
29 editions published in 1980 in 3 languages and held by 432 WorldCat member libraries worldwide
Global analysis : proceedings of the biennial seminar of the Canadian Mathematical Congress, Calgary, Alberta, June 1227,
1978 by
Canadian Mathematical Congress (Society)(
Book
)
22 editions published in 1979 in English and German and held by 407 WorldCat member libraries worldwide
22 editions published in 1979 in English and German and held by 407 WorldCat member libraries worldwide
Hamiltonian reduction by stages by
Jerrold E Marsden(
Book
)
18 editions published in 2007 in English and held by 239 WorldCat member libraries worldwide
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 BottVirasoro group and other groups of matrices. Ample background theory on symplectic reduction and cotangent bundle reduction in particular is provided. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages
18 editions published in 2007 in English and held by 239 WorldCat member libraries worldwide
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 BottVirasoro group and other groups of matrices. Ample background theory on symplectic reduction and cotangent bundle reduction in particular is provided. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages
The breadth of symplectic and Poisson geometry : festschrift in honor of Alan Weinstein by
Jerrold E Marsden(
Book
)
24 editions published between 2005 and 2007 in English and held by 230 WorldCat member libraries worldwide
"Intended for graduate students and working mathematicians in symplectic and Poisson geometry as well as mechanics, this text is a distillation of prominent research and an indication of the future trends and directions in geometry, mechanics, and mathematical physics."Jacket
24 editions published between 2005 and 2007 in English and held by 230 WorldCat member libraries worldwide
"Intended for graduate students and working mathematicians in symplectic and Poisson geometry as well as mechanics, this text is a distillation of prominent research and an indication of the future trends and directions in geometry, mechanics, and mathematical physics."Jacket
Geometry, mechanics, and dynamics : volume in honor of the 60th birthday of J.E. Marsden(
Book
)
11 editions published between 2002 and 2005 in English and held by 162 WorldCat member libraries worldwide
This volume aims to acknowledge J.E. Marsden's influence as a teacher, propagator of new ideas, and mentor of young talent. It presents both survey articles and research articles in the fields that represent the main themes of his work, including elesticity and analysis, fluid mechanics, dynamical systems theory, geometric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread throughout is the use of geometric methods that serve to unify diverse disciplines and bring a wide variety of scientists and mathematicians together in a way that enhances dialogue and encourages cooperation. This book may serve as a guide to rapidly evolving areas as well as a resource both for students who want to work in one of these fields and practitioners who seek a broader view
11 editions published between 2002 and 2005 in English and held by 162 WorldCat member libraries worldwide
This volume aims to acknowledge J.E. Marsden's influence as a teacher, propagator of new ideas, and mentor of young talent. It presents both survey articles and research articles in the fields that represent the main themes of his work, including elesticity and analysis, fluid mechanics, dynamical systems theory, geometric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread throughout is the use of geometric methods that serve to unify diverse disciplines and bring a wide variety of scientists and mathematicians together in a way that enhances dialogue and encourages cooperation. This book may serve as a guide to rapidly evolving areas as well as a resource both for students who want to work in one of these fields and practitioners who seek a broader view
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Related Identities
 Rațiu, Tudor S. Contributor Collector Editor
 Weinstein, Alan 1943 Honoree Dedicatee Editor
 Abraham, Ralph Author
 Tromba, Anthony Author
 Chorin, Alexandre Joel Author
 Hoffman, Michael J.
 Hughes, Thomas J. R. Author
 Society for Industrial and Applied Mathematics Other Organizer of meeting
 Holmes, Philip 1945 Editor
 Newton, Paul K. Editor
Useful Links
Associated Subjects
Bifurcation theory Calculus Calculus, Integral Calculus of tensors CalculusStudy and teaching Canadian Mathematical Congress Celestial mechanics Cell aggregationMathematics Differentiable dynamical systems Differential calculus Differential equations Differential equations, Partial Differential operators Dynamics Elasticity Fluid mechanics Functions of complex variables Geometric quantization Geometry Geometry, Differential Global analysis (Mathematics) Global differential geometry Hamiltonian systems Manifolds (Mathematics) Mathematical analysis Mathematical optimization Mathematical physics Mathematics Mechanics Mechanics, Analytic Number theory Physics Poisson manifolds Semigroups Stability Symmetry (Physics) Symplectic geometry Topological groups Vector algebra Vector analysis
Alternative Names
Jerrold E. Marsden CanadianAmerican mathematician
Jerrold E. Marsden canadisk matematiker
Jerrold E. Marsden kanadensisk matematiker
Jerrold E. Marsden kanadisk matematikar
Jerrold E. Marsden kanadisk matematiker
Jerrold Eldon Marsden
Jerrold Marsden
Jerrold Marsden kanadischer Mathematiker und Hochschullehrer
Jerry E. Marsden
Marsdan, Jerry 1942
Marsden, Dž.
Marsden, Dž. 19422010
Marsden, Dzh.
Marsden, Dzh 19422010
Marsden, J.
Marsden, J. 1942
Marsden, J. 19422010
Marsden, J. E.
Marsden, J.E. 1942
Marsden, J. E. 19422010
Marsden, J. E. (Jerrold E.)
Marsden, J. E. (Jerrold E.), 19422010
Marsden, J.E. (Jerrold Eldon), 1942
Marsden, J. (Jerrold)
Marsden, J. (Jerrold), 19422010
Marsden, Jerrold.
Marsden, Jerrold 1942
Marsden, Jerrold 19422010
Marsden, Jerrold E.
Marsden, Jerrold E. 1942
Marsden, Jerrold Eldon
Marsden, Jerrold Eldon 1942
Marsden, Jerrold Eldon 19422010
Marsden, Jerry.
Marsden, Jerry 1942
Marsden, Jerry 19422010
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