Sign-In
Cart
Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions
Paperback
Series: Oxford Texts in Applied and Engineering Mathematics, Book 12
General MathematicsGeometryPhysics
Currently unavailable to order
Please enter your email and a message will be sent to you when this product becomes available on our website.
ISBN10: 0199212910
ISBN13: 9780199212910
Publisher: Oxford Univ Pr
Published: Oct 4 2009
Pages: 460
Weight: 1.80
Height: 1.10 Width: 6.10 Depth: 9.00
Language: English
ISBN13: 9780199212910
Publisher: Oxford Univ Pr
Published: Oct 4 2009
Pages: 460
Weight: 1.80
Height: 1.10 Width: 6.10 Depth: 9.00
Language: English
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
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.
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.
Also in
Geometry
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
$59.99
The Little Book of Sacred Geometry: How to Harness the Power of Cosmic Patterns, Signs and Symbols
Carvel, Astrid
Paperback
$10.44
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Expolog
Warren, Peggy
Wright, Susan
Other
$6.60
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
$19.49
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Paperback
$47.49
Do Plants Know Math?: Unwinding the Story of Plant Spirals, from Leonardo Da Vinci to Now
Dumais, Jacques
Douady, Stéphane
Golé, Christophe
Hardcover
$26.55
Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everythingelse
Ellenberg, Jordan
Paperback
$18.05
Sacred Geometry (Conscious Guides): How to Use Cosmic Patterns to Power Up Your Life
Foster, Jemma
Paperback
$18.04
Geometría Y Trigonometría Baldor 4a. Ed. / Baldor's Geometry and Trigonometry, 4th Edition
Baldor, Aurelio
Hardcover
$29.40
Quasi-Projective and Formal-Analytic Arithmetic Surfaces
Charles, François
Bost, Jean-Benoît
Hardcover
$239.25
Drawing Circle Images: How to Draw Artistic Symmetrical Images with a Ruler and Compass
Studio, Musigfi
Paperback
$8.63
Drawing Geometric Solids: How to Draw Polyhedra from Platonic Solids to Star-Shaped Stellated Dodecahedrons
Design, Sympsionics
Paperback
$12.38
Mathematics: Its Content, Methods and Meaning
Kolmogorov, A. N.
Lavrent'ev, M. a.
Aleksandrov, A. D.
Paperback
$61.75
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra
Cox, David A.
Little, John
O'Shea, Donal
Hardcover
$125.99
College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle
Altshiller-Court, Nathan
Paperback
$17.05
Make: Trigonometry: Build Your Way from Triangles to Analytic Geometry
Horvath, Joan
Cameron, Rich
Paperback
$28.49
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
$19.49
Geometry: 1001 Practice Problems for Dummies (+ Free Online Practice)
Ma, Allen
Kuang, Amber
Paperback
$28.49
Liberty's Grid: A Founding Father, a Mathematical Dreamland, and the Shaping of America
Alexander, Amir
Hardcover
$28.50
Amazing Patterns: Adult Coloring Book, Stress Relieving Mandala Style Patterns
Coloring Books for Adults
Adult Colouring Books
Adult Coloring Books
Paperback
$16.24
Tensor Calculus and Differential Forms: From Vector Calculus to the Geometry of Forms
Efthymiou, Thanasis
Hardcover
$28.49
Functional and Harmonic Analysis: Weighted Lebesgue Spaces, Muckenhoupt Weights, Convexity and Bmo Spaces
Ramos-Fernández, Julio César
Chaparro Gutiérrez, Héctor Camilo
Castillo, René Erlin
Paperback
$73.14
Space and Geometry: In the Light of Physiological, Psychological, and Physical Inquiry
Ernst Mach
Paperback
$11.21
How to Do Good Mathematics: Differential Geometry, Global Topology, and the Wisdom of a Wolf Prize Laureate
Chern, Shiing-Shen
Hardcover
$75.95
The Fifth Postulate: How Unraveling a Two-Thousand-Year-Old Mystery Unraveled the Universe
Bardi, Jason Socrates
Hardcover
$26.55