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cover

Modern Geometry-Methods and Applications

(Part I. The Geometry of Surfaces, Transformation Groups, and Fields)

B A Dubrovin,  A T Fomenko,  Sergei Petrovich Novikov

₹ 1265

View details

Imprint

Springer

Year of Publishing

2010

Number of pages

484

ISBN

9788184896558

Format

Paperback

Language

English

Dimensions

158 x 240 mm

Territorial Rights

India,Pakistan,Nepal,Bangladesh,Sri Lanka

  • the Book
  • Table of Contents

This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathe- matics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory: This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text for the second edition has been substantially revised.

+ Read more
Chapter 1
Geometry in Regions of a Space, Basic Concepts
Chapter 2
The Theory of Surfaces
Chapter 3
Tensors: The algebraic Theory
Chapter 4
The Differential calculus of Tensors
Chapter 5
The Elements of the Calculus of Variations
Chapter 6
The Calculus of Variations in Several Dimensions, Fields and Their Geometric Invariants
+ Read more

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