Variational Theory of Geodesics : Dover Books on Mathematics - M. M. POSTNIKOV

Variational Theory of Geodesics

By: M. M. POSTNIKOV

Paperback | 1 February 2020

At a Glance

Paperback


RRP $44.99

$37.25

17%OFF

or 4 interest-free payments of $9.31 with

 or 

Aims to ship in 7 to 10 business days

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 (shortest paths) 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.

About the Author

Soviet mathematician Mikhail Mikhailovich Postnikov (1927–2004) worked primarily in algebraic and differential topology. He was on the Mechanics and Mathematics faculty of Moscow State University.

More in Mathematics

How to Win At Chess : The Ultimate Guide for Beginners and Beyond - Levy Rozman
Aristotle's Organon in Old and New Logic : 1800-1950 - Colin Guthrie  King

RRP $170.00

$125.75

26%
OFF
The Selfish Gene : 40th Anniversary Edition - Richard Dawkins
Fuzzy Methods for Assessment and Decision Making - Michael Gr. Voskoglou

RRP $264.95

$199.95

25%
OFF
Antifragile : Things That Gain from Disorder - Nassim Nicholas Taleb
On the Edge : The Art of Risking Everything - Nate Silver

RRP $36.99

$33.25

10%
OFF
Humble Pi : A Comedy of Maths Errors - Matt Parker

RRP $24.99

$22.90

Calculus, Metric Edition : 9th edition - James Michael Stewart

RRP $174.95

$141.75

19%
OFF