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- Birkhäuser Basel 2006; US$ 129.00
Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one hand, it gives a quick, self-contained introduction to Poisson geometry... more...
- Elsevier Science 1985; US$ 72.95
Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with... more...
- Birkhäuser Boston 2010; US$ 139.00
This second edition presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader. more...
- Cambridge University Press 2006; US$ 204.00
Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry. more...
- Cambridge University Press 2005; US$ 92.00
An accessible introduction to Poisson geometry suitable for graduate students. more...
- Springer Berlin Heidelberg 2012; US$ 129.00
A comprehensive introduction to the field, this uniquely structured volume is tailored to graduate students and offers examples and exercises of Poisson structures in their many contexts, from string theory to differential geometry and representation theory. more...
- Springer New York 2013; US$ 149.00
This book on focuses on the work of Ferdinand Frobenius in linear algebra, its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. Also covers the Berlin school of mathematics and the guiding force of Weierstrass. more...
- Springer 2009; US$ 29.95
The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. Differentiable Manifolds is a text designed to cover this material in a careful... more...