Read Anywhere and on Any Device!

Subscribe to Read | $0.00

Join today and start reading your favorite books for Free!

Create Free Account

The Variational Theory of Geodesics

Bernard R. Gelbaum

5/5 ( ratings)

Riemannian geometry is a fundamental area of modern mathematics and is important to the study of relativity. Within the larger context of Riemannian mathematics, the active subdiscipline of geodesics in Riemannian spaces is of particular significance. This compact and self-contained text by a noted theorist presents the essentials of modern differential geometry as well as basic tools for the study of Morse theory. The advanced treatment emphasizes analytical rather than topological aspects of Morse theory and requires a solid background in calculus.
Suitable for advanced undergraduates and graduate students of mathematics, the text opens with a chapter on smooth manifolds, followed by a consideration of spaces of affine connection. Subsequent chapters explore Riemannian spaces and offer an extensive treatment of the variational properties of geodesics and auxiliary theorems and matters.

Pages: 208

Format: Paperback

Publisher: Dover Publications

Release: November 13, 2019

ISBN: 0486838285

ISBN 13: 9780486838281

The Variational Theory of Geodesics

Bernard R. Gelbaum

5/5 ( ratings)

Riemannian geometry is a fundamental area of modern mathematics and is important to the study of relativity. Within the larger context of Riemannian mathematics, the active subdiscipline of geodesics in Riemannian spaces is of particular significance. This compact and self-contained text by a noted theorist presents the essentials of modern differential geometry as well as basic tools for the study of Morse theory. The advanced treatment emphasizes analytical rather than topological aspects of Morse theory and requires a solid background in calculus.
Suitable for advanced undergraduates and graduate students of mathematics, the text opens with a chapter on smooth manifolds, followed by a consideration of spaces of affine connection. Subsequent chapters explore Riemannian spaces and offer an extensive treatment of the variational properties of geodesics and auxiliary theorems and matters.

Pages: 208

Format: Paperback

Publisher: Dover Publications

Release: November 13, 2019

ISBN: 0486838285

ISBN 13: 9780486838281

More books from Bernard R. Gelbaum

Counterexamples in Analysis

Theorems and Counterexamples in Mathematics

3.5/5 ( ratings)

Optimal Control Theory: A Course in Automatic Control Theory

3.5/5 ( ratings)

Theorems and Counterexamples in Mathematics

3.5/5 ( ratings)

Counterexamples in Analysis (Dover Books on Mathematics)

3.5/5 ( ratings)

Rate this book!

Write a review?