Differential Geometry and Homogeneous Spaces (Universitext) - Image 1

£44.99

Springer Differential Geometry and Homogeneous Spaces (Universitext)

Name: Differential Geometry and Homogeneous Spaces (Universitext)
Brand: Springer
Price: 44.99 GBP
Availability: InStock

Algebra

Price History & Forecast

Last 4 days • 4 data points

Historical

Generating forecast...

Price Distribution

Price distribution over 4 days • 1 price levels

Days at Price

Price Analysis

Most common price: £45 (4 days, 100.0%)

Price range: £45 - £45

Price levels: 1 different prices over 4 days

Description

This textbook offers a rigorous introduction to the foundations of Riemannian Geometry, with a detailed treatment of homogeneous and symmetric spaces, as well as the foundations of the General Theory of Relativity. Starting with the basics of manifolds, it presents key objects of differential geometry, such as Lie groups, vector bundles, and de Rham cohomology, with full mathematical details. Next, the fundamental concepts of Riemannian geometry are introduced, paving the way for the study of homogeneous and symmetric spaces. As an early application, a version of the Poincaré–Hopf and Chern–Gauss–Bonnet Theorems is derived. The final chapter provides an axiomatic deduction of the fundamental equations of the General Theory of Relativity as another important application. Throughout, the theory is illustrated with color figures to promote intuitive understanding, and over 200 exercises are provided (many with solutions) to help master the material. The book is designed to cover a two-semester graduate course for students in mathematics or theoretical physics and can also be used for advanced undergraduate courses. It assumes a solid understanding of multivariable calculus and linear algebra.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3662697203
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 October 2024
Listed Since: 18 June 2024

Barcode

No barcode data available

Springer Differential Geometry and Homogeneous Spaces (Universitext)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Problems And Solutions In Differential Geometry, Lie Series, Differential Forms, Relativity And Applications

Metric Structures in Differential Geometry: 224 (Graduate Texts in Mathematics, 224)

Elements of General Relativity (Compact Textbooks in Mathematics)

Introduction to Tensor Analysis and the Calculus of Moving Surfaces

Curved Spaces: From Classical Geometries to Elementary Differential Geometry

A Short Course in Ordinary Differential Equations (Universitext)

Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields (Theoretical and Mathematical Physics)

Introduction to Quantum Groups

General Theory of Leibniz Algebras (Synthesis Lectures on Mathematics & Statistics)

Exterior Differential Systems & Euler–Lagrange Partial Differential Equations (Chicago Lectures in Mathematics Series CLM)

Introduction to Möbius Differential Geometry: 300 (London Mathematical Society Lecture Note Series, Series Number 300)

An Introduction to Nonlinear Analysis and Fixed Point Theory

Elements of Mathematical Analysis: An Informal Introduction for Physics and Engineering Students (SpringerBriefs in Physics)

Introduction to Mathematical Analysis

Homogénéisation en milieu périodique... ou non: Une introduction: 88 (Mathématiques et Applications, 88)

Basic Classes of Linear Operators

General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology (IOP Concise Physics)

Locally Mixed Symmetric Spaces (Springer Monographs in Mathematics)

Geometry and Analysis on Manifolds: In Memory of Professor Shoshichi Kobayashi: 308 (Progress in Mathematics, 308)

Finite-Dimensional Vector Spaces (Undergraduate Texts in Mathematics)

Geometric Optics on Phase Space (Theoretical and Mathematical Physics)

Functional Analytic Methods for Heat Green Operators: Heat Kernel Asymptotics via the Weyl-Hörmander Calculus: 2354 (Lecture Notes in Mathematics, 2354)

Introduction to Algebraic Geometry

Higher Mathematics for Physics and Engineering