Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
This book introduces the reader to the concept of smooth manifold through abstract definitions and, more importantly, through many we believe relevant examples. Topics covered includes, Manifolds, Natural Constructions on Manifolds, Calculus on Manifolds, Riemannian Geometry, Elements of the Calculus of Variations, The Fundamental group and Covering Spaces, Cohomology, Characteristic classes, Classical Integral Geometry, Elliptic Equations on Manifolds and Dirac Operators.
Author(s): Liviu I. Nicolaescu
570Pages
We are working on the detailed description of this book, we will update this section soon.
Author(s): NA
NAPages
