Hoppa till sidans huvudinnehåll

2 869 kr

Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Häftad

1 119 kr

Skickas inom 7-10 vardagar

Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such as n–particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems.Geometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or two- semester course for beginning graduate students or advanced undergraduates. It fills a gap between traditional classical mechanics texts and advanced modern mathematical treatments of the subject. After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group theory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyze the Euler-Poincaré equations for dynamics on Lie groups.Additional topics deal with rigid and pseudo-rigid bodies, the heavy top, shallow water waves, geophysical fluid dynamics and computational anatomy. The text ends with a discussion of the semidirect-product Euler-Poincaré reduction theorem for ideal fluid dynamics.A variety of examples and figures illustrate the material, while the many exercises, both solved and unsolved, make the book a valuable class text.

Produktinformation

Tillhör följande kategorier

Hoppa över listan

Mer från samma författare

Mathematics Of Planet Earth: A Primer

Jochen Broecker, Ben Calderhead, Davoud Cheraghi, Colin Cotter, Darryl D Holm, Tobias Kuna, Beatrice Pelloni, Ted Shepherd, Hilary Weller, Uk) Broecker, Jochen (Univ Of Reading, Uk) Calderhead, Ben (Imperial College London, Uk) Cheraghi, Davoud (Imperial College London, Uk) Cotter, Colin (Imperial College London, Uk) Holm, Darryl D (Imperial College London, Uk) Kuna, Tobias (Univ Of Reading, Uk) Pelloni, Beatrice (Univ Of Reading, Uk) Shepherd, Ted (Univ Of Reading, Uk) Weller, Hilary (Univ Of Reading, Holm Darryl, HOLM DARRYL, Dan Crisan, Uk) Crisan, Dan (Imperial College London

Inbunden

1 979 kr

Mathematics Of Planet Earth: A Primer

Jochen Broecker, Ben Calderhead, Davoud Cheraghi, Colin Cotter, Darryl D Holm, Tobias Kuna, Beatrice Pelloni, Ted Shepherd, Hilary Weller, Uk) Broecker, Jochen (Univ Of Reading, Uk) Calderhead, Ben (Imperial College London, Uk) Cheraghi, Davoud (Imperial College London, Uk) Cotter, Colin (Imperial College London, Uk) Holm, Darryl D (Imperial College London, Uk) Kuna, Tobias (Univ Of Reading, Uk) Pelloni, Beatrice (Univ Of Reading, Uk) Shepherd, Ted (Univ Of Reading, Uk) Weller, Hilary (Univ Of Reading, Holm Darryl, HOLM DARRYL, Dan Crisan, Uk) Crisan, Dan (Imperial College London

Häftad

699 kr

Hoppa över listan

Mer från samma serie

Del 9

Introduction to Parallel Computing

Wesley Petersen, Peter Arbenz, Switzerland) Petersen, Wesley (, Seminar for Applied Mathematics, Department of Mathematics, ETHZ, Switzerland) Arbenz, Peter (, Institute for Scientific Computing, Department Informatik, ETHZ, W. P. Petersen

Inbunden

3 459 kr

Del 9

Introduction to Parallel Computing

Wesley Petersen, Peter Arbenz, Switzerland) Petersen, Wesley (, Seminar for Applied Mathematics, Department of Mathematics, ETHZ, Switzerland) Arbenz, Peter (, Institute for Scientific Computing, Department Informatik, ETHZ

Häftad

1 689 kr

Del 6

Introduction to Monte-Carlo Methods for Transport and Diffusion Equations

Bernard Lapeyre, Etienne Pardoux, Remi Sentis, France) Lapeyre, Bernard (, Ecole Nationale des Ponts et Chaussees, Marne-la-Vallee, France) Pardoux, Etienne (, Universite de Provence, Marseille, France) Sentis, Remi (, Commissariat a l'Energie Atomique Bruyeres-le-Chatel

Inbunden

1 119 kr

Del 6

Introduction to Monte-Carlo Methods for Transport and Diffusion Equations

Bernard Lapeyre, Etienne Pardoux, Remi Sentis, France) Lapeyre, Bernard (, Ecole Nationale des Ponts et Chaussees, Marne-la-Vallee, France) Pardoux, Etienne (, Universite de Provence, Marseille, France) Sentis, Remi (, Commissariat a l'Energie Atomique Bruyeres-le-Chatel

Häftad

1 379 kr

Hoppa över listan

Du kanske också är intresserad av

Del 12

Geometric Mechanics and Symmetry

Darryl D. Holm, Tanya Schmah, Cristina Stoica, Imperial College London) Holm, Darryl D. (Professor, Mathematics Department, Australia) Schmah, Tanya (Department of Computer Science, University of Toronto and Department of Mathematics, Macquarie University, Canada) Stoica, Cristina (Department of Mathematics, Wilfrid Laurier University

Häftad

1 119 kr

Del 9

Introduction to Parallel Computing

Wesley Petersen, Peter Arbenz, Switzerland) Petersen, Wesley (, Seminar for Applied Mathematics, Department of Mathematics, ETHZ, Switzerland) Arbenz, Peter (, Institute for Scientific Computing, Department Informatik, ETHZ

Häftad

1 689 kr

Applied Partial Differential Equations

John Ockendon, Sam Howison, Andrew Lacey, Alexander Movchan, University of Oxford) Ockendon, John (, OCIAM, University of Oxford) Howison, Sam (, OCIAM, Heriot-Watt University) Lacey, Andrew (, Department of Mathematics, University of Liverpool) Movchan, Alexander (, Department of Mathematics

Häftad

2 049 kr

Del 9

Introduction to Parallel Computing

Wesley Petersen, Peter Arbenz, Switzerland) Petersen, Wesley (, Seminar for Applied Mathematics, Department of Mathematics, ETHZ, Switzerland) Arbenz, Peter (, Institute for Scientific Computing, Department Informatik, ETHZ, W. P. Petersen

Inbunden

3 459 kr

Del 8

Nonlinear Science

Alwyn Scott, University of Arizona) Scott, Alwyn (, Emeritus Professor of Mathematics

Inbunden

2 209 kr