0
17 years of experience17 years of Excellence
SUBJECTS
ADV. SEARCH
Indian Books on Discounts
  Fundamentals of Differential Geometry
 

Fundamentals Of Differential Geometry

by Lang

  Price : Rs 595.00
  Your Price : Rs 535.50
Discount
10
In Stock
  This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for differential equations and the flow of a vector field; the basic theory of vector bundles including the existence of tubular neighborhoods for a submanifold; the calculus of differential forms; basic notions of symplectic manifolds, including the canonical 2-form; sprays and covariant derivatives for Riemannian and pseudo-Riemannian manifolds; applications to the exponential map, including the Cartan-Hadamard theorem and the first basic theorem of calculus of variations. Although the book grew out of the author`s earlier book "Differential and Riemannian Manifolds", the focus has now changed from the general theory of manifolds to general differential geometry, and includes new chapters on Jacobi lifts, tensorial splitting of the double tangent bundle, curvature and the variation formula, a generalization of the Cartan-Hadamard theorem, the semiparallelogram law of Bruhat-Tits and its equivalence with seminegative curvature and the exponential map distance increasing property, a major example of seminegative curvature (the space of positive definite symmetric real matrices), automorphisms and symmetries, and immersions and submersions. These are all covered for infinite-dimensional manifolds, modeled on Banach and Hilbert Spaces, at no cost in complications, and some gain in the elegance of the proofs. In the finite-dimensional case, differential forms of top degree are discussed, leading to Stokes` theorem (even for manifolds with singular boundary), and several of its applications to the differential or Riemannian case. Basic formulas concerning the Laplacian are given, exhibiting several of its features in immersions and submersions.
ISBN-9788184896718
 


Pages : 581
Credit Cards
Payment accepted by All Major Credit and Debit Cards, Net Banking, Cash Cards, Paytm, UPI, Paypal. Our payment gateways are 100% secure.
Check Delivery
Books by Same Author
22%
Grumpy Monkey Ready, Set, Bananas!
by Lang, Suzanne
10%
Basic Mathematics
by Lang
Fiction Classics - The Brown Fairy - What The Rose Did To The Cypress And Other Stories
by Andrew Lang
15%
A Concise History of Modern Architecture In India
by JON LANG
Fiction Classics - The Violet Fairy: The Finest Liar In The World And Other Stories
by Andrew Lang
Books of Similar Interest
12%
Analytical Solid Geometary
by Shanti Narayan, P. K. Mittal
18%
Complex Variables - Introduction and Applications - 2nd Edition
by Mark J. Ablowitz & Athanassios S. Fokas
7%
Business Mathamatics & statistics 12th Class Orissa
by Aggarwal S.L, Bhardwaj S.L, Inder Kumar, Bhagan das
8%
Introduction to Matrix Analysis and Applications
by Fumio Hiai and Denes Petz
12%
A T.B.OF B.SC. MATHEMATICS FOR IIIRD SEMESTER
by G.K.Ranganath
Best Book Mart
Support

Call Us Phone : +91-9266663909
Email Us Email : support [at] bestbookmart.com
Working Hours Timing : 10:00 AM to 6:00 PM (Mon-Fri)
Powered By
CCAvenue
SSL Protection