Ditemukan 30 dokumen yang sesuai dengan query
Marsden, Jerrold E., author
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...
Philadelphia : Society for Industrial and Applied Mathematics, 1981
e20442915
eBooks Universitas Indonesia Library
Lee, John M., author
This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research, smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms,...
New York: Springer, 2013
e20419418
eBooks Universitas Indonesia Library
Bonfiglioli, Andrea, author
This monograph is intended to: fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result, provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing...
Berlin: Springer, 2012
e20420012
eBooks Universitas Indonesia Library
Shaoqiang, Deng, author
Homogeneous finsler spaces is the book to emphasize the relationship between Lie groups and Finsler geometry, and the first to show the validity in using Lie theory for the study of Finsler geometry problems. This monograph introduces the most recent developments in the study of Lie groups and homogeneous Finsler...
New York: [Springer, ], 2012
e20419611
eBooks Universitas Indonesia Library
Hilgert, Joachim, author
This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key...
New York: Springer, 2012
e20418896
eBooks Universitas Indonesia Library
Schattler, Heinz, author
This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques...
New York: [Springer, ], 2012
e20419542
eBooks Universitas Indonesia Library
Snygg, John, author
Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to differential geometry using Clifford's geometric algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for...
New York: [, Springer Science], 2012
e20418895
eBooks Universitas Indonesia Library
This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models...
New York: [Springer, ], 2012
e20419047
eBooks Universitas Indonesia Library
Xian, he Dai, editor
Metric and differential geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index...
Basel: [Springer, ], 2012
e20419786
eBooks Universitas Indonesia Library
Gardner, Robert B., author
The ideas of Elie Cartan are combined with the tools of Felix Klein and Sophus Lie to present in this book the only detailed treatment of the method of equivalence. An algorithmic description of this method, which finds invariants of geometric objects under infinite dimensional pseudo-groups, is presented for the...
Philadelphia: Society for Industrial and Applied Mathematics, 1989
e20451180
eBooks Universitas Indonesia Library
