Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts | Agenda Bookshop Skip to content
Selected Colleen Hoover Books at €9.99c | In-store & Online
Selected Colleen Hoover Books at €9.99c | In-store & Online
A01=Tristan Needham
Age Group_Uncategorized
Age Group_Uncategorized
Author_Tristan Needham
automatic-update
Category1=Non-Fiction
Category=PBKA
Category=PBMP
COP=United States
Delivery_Delivery within 10-20 working days
Language_English
PA=Available
Price_€100 and above
PS=Active
softlaunch

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

English

By (author): Tristan Needham

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 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; 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.

See more
Current price €125.39
Original price €131.99
Save 5%
A01=Tristan NeedhamAge Group_UncategorizedAuthor_Tristan Needhamautomatic-updateCategory1=Non-FictionCategory=PBKACategory=PBMPCOP=United StatesDelivery_Delivery within 10-20 working daysLanguage_EnglishPA=AvailablePrice_€100 and abovePS=Activesoftlaunch
Delivery/Collection within 10-20 working days
Product Details
  • Dimensions: 178 x 254mm
  • Publication Date: 13 Jul 2021
  • Publisher: Princeton University Press
  • Publication City/Country: United States
  • Language: English
  • ISBN13: 9780691203690

About Tristan Needham

Tristan Needham is professor of mathematics at the University of San Francisco. He is the author of Visual Complex Analysis.

Customer Reviews

Be the first to write a review
0%
(0)
0%
(0)
0%
(0)
0%
(0)
0%
(0)
We use cookies to ensure that we give you the best experience on our website. If you continue we'll assume that you are understand this. Learn more
Accept