{"title":"Tristan Needham","description":"\u003cp\u003eDiscover the captivating world of mathematics through the eyes of \u003cem\u003eTristan Needham\u003c\/em\u003e, an author dedicated to making complex concepts accessible and engaging. Known for his unique approach, Needham merges intuition with rigor to unveil the beauty of mathematical ideas. His works are highly appreciated in the \u003cstrong\u003eScience \u0026amp; Nature\u003c\/strong\u003e category for their clear and visual exposition.\u003c\/p\u003e\n\n\u003cp\u003eAmong his remarkable contributions is the book \u003cem\u003eVisual Differential Geometry and Forms\u003c\/em\u003e. This book distinguishes itself by providing readers with a visual and intuitive understanding of differential geometry, offering clear diagrams and explanations that make intricate theories more approachable.\u003c\/p\u003e\n\n\u003cp\u003eWhether you are a student, a professor, or someone with an interest in the elegance of mathematical forms, Tristan Needham's books are perfect companions in the journey of learning. Explore his collection and experience mathematics in a way that is both enlightening and inspiring.\u003c\/p\u003e","products":[{"product_id":"visual-differential-geometry-and-forms-by-tristan-needham-9780691203706","title":"Visual Differential Geometry and Forms","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003e\u003ci\u003eVisual Differential Geometry and Forms\u003c\/i\u003e fulfils two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham employs 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.\u003c\/p\u003e\n\n\u003cp\u003eUnique 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 \u003ci\u003en\u003c\/i\u003e-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.\u003c\/p\u003e\n\n\u003cp\u003eThe 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.\u003c\/p\u003e\n\n\u003cp\u003eRequiring only basic calculus and geometry, \u003ci\u003eVisual Differential Geometry and Forms\u003c\/i\u003e provocatively rethinks the way this important area of mathematics should be considered and taught.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"NewSouth Books","offers":[{"title":"Default Title","offer_id":46855436697836,"sku":"9780691203706","price":89.99,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/1eb35ceb09cece1dd5c804492d9faf26.jpg?v=1759278323"}],"url":"https:\/\/bookhero.co.nz\/collections\/tristan-needham.oembed","provider":"Book Hero","version":"1.0","type":"link"}