Handbook of geometrical methods for scientists and engineers
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Bibliographic Information
Handbook of geometrical methods for scientists and engineers
Nova Science Publishers, c2010
- : hard
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Includes bibliographical references and index
Description and Table of Contents
Description
The 'Handbook of Geometrical Methods for Scientists and Engineers' is an undergraduate applied mathematics text, compiled as a collection of concepts and formulas of modern geometrical and topological methods designed for use in science and engineering. These geometrical methods are currently being used for modelling complex systems in theoretical physics, chemistry and biology, non-linear dynamics and non-linear control, as well as mathematically -- enriched human sciences (medicine, psychology, sociology and economics). This book contains an easy-to-follow essence of geometrical and topological methods for modelling complex dynamical systems, extracted from our five graduate -- level monographs (including over 2000 cited references in total): 1. Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho- Socio-Economical Dynamics. Springer, 2006; 2. Complex Dynamics: Advanced System Dynamics in Complex Variables, Springer, 2007; 3. Applied Differential Geometry: A Modern Introduction. World Scientific,2007; 4. Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals, Springer, 2008; and 5. Quantum Leap: From Dirac and Feynman, Across the Universe, to Human Body and Mind. World Scientific, Singapore, 2008. The only necessary background for efficient understanding and using of the Handbook is standard Engineering Mathematics IB (namely, Calculus and Linear Algebra).
Table of Contents
- Preface
- Classical Local Calculation Tools
- Modern Global Algebraic Framework
- Brief Review of Tools from Modern Analysis and Geometry
- Smooth Manifolds and (Co) Tangent Bundles
- Lie Derivatives and Lie Groups
- Riemann -- Finsler and Symplectic Geometry
- Path -- Integral and Quantum Fields
- Kahler and Conformal Geometry
- Geometry and Topology of Fibre Bundles
- Jet Geometry and Non-Autonomous Dynamics
- Advanced Path -- Integral Methods
- Index.
by "Nielsen BookData"
