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Lectures on Mechanics
  • Language: en
  • Pages: 254

Lectures on Mechanics

Based on the 1991 LMS Invited Lectures given by Professor Marsden, this book discusses and applies symmetry methods to such areas as bifurcations and chaos in mechanical systems.

Foundations of Mechanics
  • Language: en
  • Pages: 826

Foundations of Mechanics

Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics. --Zentralblatt fur Mathematik 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.

Mathematical Foundations of Elasticity
  • Language: en
  • Pages: 576

Mathematical Foundations of Elasticity

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.

Vector Calculus
  • Language: en
  • Pages: 752

Vector Calculus

This bestselling vector calculus text helps students gain a solid, intuitive understanding of this important subject. The book's careful contemporary balance between theory, application, and historical development, provides readers with insights into how mathematics progresses and is in turn influenced by the natural world. The new edition offers a contemporary design, an increased number of practice exercises, and content changes based on reviewer feedback, giving this classic text a modern appeal.

Lectures on Geometric Methods in Mathematical Physics
  • Language: en
  • Pages: 97

Lectures on Geometric Methods in Mathematical Physics

  • Type: Book
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  • Published: 1981
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  • Publisher: SIAM

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.

Hamiltonian Reduction by Stages
  • Language: en
  • Pages: 524

Hamiltonian Reduction by Stages

  • Type: Book
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  • Published: 2007-06-05
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  • Publisher: Springer

This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.

Fluids and Plasmas
  • Language: en
  • Pages: 448

Fluids and Plasmas

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A Mathematical Introduction to Fluid Mechanics
  • Language: en
  • Pages: 205

A Mathematical Introduction to Fluid Mechanics

These notes are based on a one-quarter (i. e. very short) course in fluid mechanics 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 approxima tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic system...