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ISBN10: 0691203709, ISBN13: 9780691203706, [publisher: Princeton University Press] Softcover 2021. Paperback. . . . . .
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ISBN10: 0691203709, ISBN13: 9780691203706, [publisher: Princeton University Press] Softcover New Book. Shipped from UK. Established seller since 2000.
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ISBN10: 0691203709, ISBN13: 9780691203706, [publisher: Princeton University Press Jul 2021] Softcover Neuware - 'Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. 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. 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 n-manifold; and a detailed geometrical treatment of Einstein's field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell's equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan's method of moving frames; and the calculation of the Riemann tensor using ...
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Princeton University Press, Date: 2021-07-13. paperback. Used:Good. 2021. Princeton University Press ISBN 0691203709 9780691203706 [US]

Princeton Univ Pr, Date: 2021. Paperback. New. 584 pages. 10.00x7.00x1.10 inches. 2021. Princeton Univ Pr ISBN 0691203709 9780691203706 [GB]

ISBN10: 0691203709, ISBN13: 9780691203706, [publisher: Princeton University Press, New Jersey] Softcover Paperback. An inviting, intuitive, and visualexploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newtons 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.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 Gausss famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einsteins field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwells equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartans method of moving frames; ...

ISBN10: 0691203709, ISBN13: 9780691203706, [publisher: Princeton University Press, New Jersey] Softcover Paperback. An inviting, intuitive, and visualexploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newtons 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.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 Gausss famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einsteins field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwells equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartans method of moving frames; ...