<p><b>An inviting, intuitive, and visual </b><b>exploration of differential geometry and forms</b><br><br><i>Visual Differential Geometry and Forms</i> fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry<i>.</i> Using 235 hand-drawn diagrams, Needham deploys Newton¿s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner.<br><br>Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss¿s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an <i>n</i>-manifold; and a detailed geometrical treatment of Einstein¿s fie
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Presents a comprehensive introduction to differential forms. This work begins with a presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the...
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<div>This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds...
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Complex Analysis is the powerful fusion of the complex numbers (involving the ''imaginary'' square root of -1) with ordinary calculus, resulting in a tool that has been of central importance to science for more than 200 years.This...
kr 529.00
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