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818 tulosta hakusanalla Jerrold E. Marsden; Anthony Tromba; Alan Weinstein

Basic Multivariable Calculus

Basic Multivariable Calculus

Jerrold E. Marsden; Anthony Tromba; Alan Weinstein

Springer-Verlag New York Inc.
1993
sidottu
Basic Multivariable Calculus fills the need for a student-oriented text devoted exclusively to the third-semester course in multivariable calculus. In this text, the basic algebraic, analytic, and geometric concepts of multivariable and vector calculus are carefully explained, with an emphasis on developing the student's intuitive understanding and computational technique. A wealth of figures supports geometrical interpretation, while exercise sets, review sections, practice exams, and historical notes keep the students active in, and involved with, the mathematical ideas. All necessary linear algebra is developed within the text, and the material can be readily coordinated with computer laboratories. Basic Multivariable Calculus is the product of an extensive writing, revising, and class-testing collaboration by the authors of Calculus III (Springer-Verlag) and Vector Calculus (W.H. Freeman & Co.). Incorporating many features from these highly respected texts, it is both a synthesis of the authors' previous work and a new and original textbook.
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Lectures on Mechanics

Lectures on Mechanics

Jerrold E. Marsden

Cambridge University Press
1992
pokkari
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 analyzed using the block diagonalization technique; geometric phases, studied using the reduction and reconstruction technique; and bifurcation of relative equilibria and chaos in mechanical systems. A unifying theme for these points is provided by reduction theory, the associated mechanical connection and techniques from dynamical systems. These methods can be applied to many control and stabilization situations, and this is illustrated using rigid bodies with internal rotors, and the use of geometric phases in mechanical systems. To illustrate the above ideas and the power of geometric arguments, the author studies a variety of specific systems, including the double spherical pendulum and the classical rotating water molecule. This book, based on the 1991 LMS Invited Lectures, will be valued by pure and applied mathematicians, physicists and engineers who work in geometry, nonlinear dynamics, mechanics, and robotics.
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Introduction to Mechanics and Symmetry

Introduction to Mechanics and Symmetry

Jerrold E. Marsden; Tudor S. Ratiu

Springer-Verlag New York Inc.
1999
sidottu
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 specific applications, making it beneficial to physicists and engineers. This text has specific examples and applications showing how the theory works, and up-to-date techniques, all of which makes it accessible to a wide variety of readers, expecially senior undergraduate and graduate students in mathematics, physics and engineering. For this second edition, the text has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available on-line.
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Elementary Classical Analysis

Elementary Classical Analysis

Jerrold E. Marsden; Michael J. Hoffman

W.H.Freeman Co Ltd
1993
sidottu
Designed for courses in advanced calculus and introductory real analysis, the second edition of Elementary Classical Analysis strikes a careful and thoughtful balance between pure and applied mathematics, with the emphasis on techniques important to classical analysis, without vector calculus or complex analysis. As such, it’s a perfect teaching and learning resource for mathematics undergraduate courses in classical analysis.The book includes detailed coverage of the foundations of the real number system and focuses primarily on analysis in Euclidean space with a view towards application. As well as being suitable for students taking pure mathematics, it can also be used by students taking engineering and physical science courses. There’s now even more material on variable calculus, expanding the textbook’s already considerable coverage of the subject.
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Introduction to Mechanics and Symmetry

Introduction to Mechanics and Symmetry

Jerrold E. Marsden; Tudor S. Ratiu

Springer-Verlag New York Inc.
2010
nidottu
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 specific applications, making it beneficial to physicists and engineers. This text has specific examples and applications showing how the theory works, and up-to-date techniques, all of which makes it accessible to a wide variety of readers, expecially senior undergraduate and graduate students in mathematics, physics and engineering. For this second edition, the text has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available on-line.
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Einführung in die Mechanik und Symmetrie

Einführung in die Mechanik und Symmetrie

Jerrold E. Marsden; Tudor S. Ratiu

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2001
nidottu
Symmetrie hat in der Mechanik schon immer eine große Rolle gespielt - von der grundlegenden Formulierung elementarer Theorien bis hin zu konkreten Anwendungen. Thema dieses Buches ist die Entwicklung der zugrunde liegenden Theorien, wobei der Rolle der Symmetrie besonderes Gewicht beigemessen wird. Ursache hierfür sind neben den Entwicklungen im Bereich dynamischer Systeme auch der Einsatz geometrischer Verfahren und neuer Anwendungen bei integrierbaren und chaotischen Systemen, Steuerungssystemen, Stabilität und Bifurkation sowie die Erforschung starrer, flüssiger, plasmaförmiger und elastischer Systeme. Das vorliegende Lehrbuch stellt die Grundlagen für die Behandlung dieser Themen bereit und schließt zahlreiche spezifische Anwendungen mit ein, wodurch es insbesondere auch für Physiker und Ingenieure interessant ist. Ausgewählte Beispiele und Anwendungen sowie aktuelle Verfahren/Techniken veranschaulichen die dargelegte Theorie.
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Hamiltonian Reduction by Stages

Hamiltonian Reduction by Stages

Jerrold E. Marsden; Gerard Misiolek; Juan-Pablo Ortega; Matthew Perlmutter; Tudor S. Ratiu

Springer-Verlag Berlin and Heidelberg GmbH Co. K
2007
nidottu
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. 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.
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Manifolds, Tensor Analysis, and Applications

Manifolds, Tensor Analysis, and Applications

Ralph Abraham; Jerrold E. Marsden; Tudor Ratiu

Springer-Verlag New York Inc.
1988
sidottu
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 me­ chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory. Some of this is planned for a subsequent edition. Meanwhile, the authors will make available to interested readers supplementary chapters on Lie Groups and Differential Topology and invite comments on the book's contents and development. Throughout the text supplementary topics are given, marked with the symbols ~ and {l:;J. This device enables the reader to skip various topics without disturbing the main flow of the text. Some of these provide additional background material intended for completeness, to minimize the necessity of consulting too many outside references. We treat finite and infinite-dimensional manifolds simultaneously. This is partly for efficiency of exposition. Without advanced applications, using manifolds of mappings, the study of infinite-dimensional manifolds can be hard to motivate.
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Foundations of Mechanics

Foundations of Mechanics

Ralph Abraham; Jerrold E. Marsden

American Mathematical Society
2008
sidottu
For many years, this book has been viewed as a classic treatment of geometric mechanics. It is known for its broad exposition of the subject, with many features that cannot be found elsewhere. The book is recommended as a textbook and as a basic reference work for the foundations of differentiable and Hamiltonian dynamics.
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Manifolds, Tensor Analysis, and Applications

Manifolds, Tensor Analysis, and Applications

Ralph Abraham; Jerrold E. Marsden; Tudor Ratiu

Springer-Verlag New York Inc.
2012
nidottu
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 me­ chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory. Some of this is planned for a subsequent edition. Meanwhile, the authors will make available to interested readers supplementary chapters on Lie Groups and Differential Topology and invite comments on the book's contents and development. Throughout the text supplementary topics are given, marked with the symbols ~ and {l:;J. This device enables the reader to skip various topics without disturbing the main flow of the text. Some of these provide additional background material intended for completeness, to minimize the necessity of consulting too many outside references. We treat finite and infinite-dimensional manifolds simultaneously. This is partly for efficiency of exposition. Without advanced applications, using manifolds of mappings, the study of infinite-dimensional manifolds can be hard to motivate.
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A Mathematical Introduction to Fluid Mechanics

A Mathematical Introduction to Fluid Mechanics

Alexandre J. Chorin; Jerrold E. Marsden

Springer-Verlag New York Inc.
1993
sidottu
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 weil as the clas­ sical techniques of applied mathematics. This renewal of interest, bothin 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 Seiences (AMS) series, whichwill focus on advanced textbooks and research Ievel monographs. Preface This book is based on a one-term coursein fluid mechanics originally taught in the Department of Mathematics of the U niversity 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.
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A Mathematical Introduction to Fluid Mechanics

A Mathematical Introduction to Fluid Mechanics

Alexandre J. Chorin; Jerrold E. Marsden

Springer-Verlag New York Inc.
2013
nidottu
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 weil as the clas­ sical techniques of applied mathematics. This renewal of interest, bothin 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 Seiences (AMS) series, whichwill focus on advanced textbooks and research Ievel monographs. Preface This book is based on a one-term coursein fluid mechanics originally taught in the Department of Mathematics of the U niversity 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.
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Shelley's Process

Shelley's Process

Jerrold E. Hogle

Oxford University Press Inc
1989
sidottu
In this set of thorough and revisionary readings of Percy Shelley's best known writings in prose and verse, Hogle argues that the logic and style in all these works are governed by a movement in every thought, memory, image, or word-pattern whereby each is seen and sees itself in terms of a radically different form. For any specified entity or figure to be known for 'what it is', it must be reconfigured by and in terms of another one at another level (which must then be dislocated itself). In so delineating Shelley's 'process', Hogle reveals the revisionary procedure in the poet's various texts and demonstrates the powerful effects of 'radical transference' in Shelley's visions of human possibility.
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Campaign Finance Reform and the Future of the Democratic Party

Campaign Finance Reform and the Future of the Democratic Party

Jerrold E. Schneider

Routledge
2002
nidottu
Campaign Finance Reform and the Future of the Democratic Party offers a new interpretation of the dynamics of the American political system. Schneider explains how campaign finance reform would enable the Democratic Party to reverse the decades-long decline in their voter base. Reform would incentivize the Party to reallocate $1 trillion per year in contribution-driven waste to popular programs, without which the kind of progressive economic policies that have always energized the Democratic base will continue to be starved of resources. Schneider shows that, contrary to conventional wisdom, writing an effective reform law that can't be loopholed is feasible. So is a set of specific measures to force Congress to enact an effective law. In the end, reform holds the key to the democratic character and dynamics of the political system. Reform also holds the key to investments for future U.S productivity growth and the reduction of inequality.
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In the Beginning

In the Beginning

Jerrold E. Levy

University of California Press
1998
pokkari
This analysis of Navajo creation and origin myths shows that the Navajo religion is as complete and nuanced an attempt to answer humanity's big questions as the religions brought to North America by Europeans.
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