{epub download} Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts

Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts by Tristan Needham

• Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts
• Tristan Needham
• Page: 584
• Format: pdf, ePub, mobi, fb2
• ISBN: 9780691203706
• Publisher: Princeton University Press

Download Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts

Books to download on ipad Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts English version iBook CHM PDB by Tristan Needham 9780691203706

Overview

An inviting, intuitive, and visual exploration of differential geometry and forms 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 curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.

Other ebooks: DIES IRAE (TRILOGIA VERSOS, CANCIONES Y TROCITOS DE CARNE 2) leer epub CESAR PEREZ GELLIDA download link, [Pdf/ePub] Invisible China: How the Urban-Rural Divide Threatens China's Rise by Scott Rozelle, Natalie Hell download ebook site, Online Read Ebook Cthulhu Dark Ages: Call of Cthulhu Roleplaying in the Year 1000 A. D. download link, [Kindle] LA PERLA DE AGUA descargar gratis here, ALQUIMIA PARA EL ÉXITO ROBERTO PALAZUELOS ePub gratis download link, LA GRAN CACERÍA (RUEDA DEL TIEMPO Nº 2) leer el libro pdf pdf, {pdf download} Disney Villains: A Portrait of Evil: History's Wickedest Luminaries (Books About Disney Villains) download pdf, EL DIABLO DE LAS PROVINCIAS leer el libro pdf site, [Kindle] Job: A New Translation download read pdf, DOWNLOADS 2022 Pearls Before Swine Day-to-Day Calendar site,