Download PDF by Vladimir G Ivancevic: Applied Differential Geometry: A Modern Introduction

By Vladimir G Ivancevic

ISBN-10: 9812706143

ISBN-13: 9789812706140

This graduate-level monographic textbook treats utilized differential geometry from a latest clinical point of view. Co-authored through the originator of the world's major human movement simulator - "Human Biodynamics Engine", a posh, 264-mechanical process, modeled by way of differential-geometric instruments - this can be the 1st booklet that mixes sleek differential geometry with a large spectrum of purposes, from glossy mechanics and physics, through nonlinear keep an eye on, to biology and human sciences. The booklet is designed for a two-semester direction, which supplies mathematicians various functions for his or her concept and physicists, in addition to different scientists and engineers, a powerful idea underlying their versions.

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Extra resources for Applied Differential Geometry: A Modern Introduction

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2 Geometry of the Largest Lyapunov Exponent . . . . . . . . . 3 Euler Characteristics of Hamiltonian Systems . . . . . . . . . 6 Application: Force–Field Psychodynamics . . 1 Motivational Cognition in the Life Space Foam . . . . . . . . 5 Application: Witten’s TQFT, SW–Monopoles and Strings . . . . . . . . . . . . . . . 1 Topological Quantum Field Theory . . . . 2 Seiberg–Witten Theory and TQFT . . . . 2 Topological Lagrangian .

2 Green–Schwarz Bosonic Strings and Branes . . 3 Calabi–Yau Manifolds, Orbifolds and Mirror Symmetry . . . . . . . . . . . 4 More on Topological Field Theories . . . . 5 Topological Strings . . . . . . . . . 6 Geometrical Transitions . . . . . . . 7 Topological Strings and Black Hole Attractors . 8 Application: Advanced Geometry and Topology of String Theory . . . . . . . . . . . . 1 Noncommutative Gauge Theory . 2 Open Strings in the Presence of Constant B−Field .

1035 1036 1037 1038 1039 1043 1045 1047 1049 1050 1055 1057 1059 1061 1064 1069 1069 1072 1075 1079 1080 1097 1097 1103 1103 1105 1107 April 19, 2007 16:57 WSPC/Book Trim Size for 9in x 6in Contents Dimensional Reduction and 3D Field Theory . . . . . . . . . 5 Geometrical Interpretation . . . . 3 TQFTs Associated with SW–Monopoles . . . 1 Dimensional Reduction . . . . . 2 TQFTs of 3D Monopoles . . . . 3 Non–Abelian Case . . . . . . 4 Stringy Actions and Amplitudes . .

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Applied Differential Geometry: A Modern Introduction by Vladimir G Ivancevic


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