Re: The Best Books on the Calculus of Variations?

"Bill J." <nolabab@xxxxxxxxx> wrote in news:1165558144.241309.100690@xxxxxxxxxxxxxxxxxxxxxxxxxxx:

What books are to the calculus of variations what Munkres is to
introductory topology, or MTW and Wald are to General Relativity?

I read the sections on the geometric approach to the calculus of
variations in Burke's Applied Differential Geometry a few years ago,
and I was wondering if there is a good text using this modern approach,
but with a touch more rigor and a lot more depth.



You might want to look at this one - its quite well cited:

http://www.antiqbook.com/boox/blac/591007.shtml

.

Relevant Pages

  • The Best Books on the Calculus of Variations?
    ... What books are to the calculus of variations what Munkres is to ... or MTW and Wald are to General Relativity? ... variations in Burke's Applied Differential Geometry a few years ago, ...
    (sci.physics.research)
  • Re: Mathematics and science
    ... The uplifted eyebrow seems to be a permanent ... I was very good at geometry. ... calculus to solve our math/science/engineering problems. ... It took quite some time to calculus-ize science. ...
    (soc.history.medieval)
  • Re: JSH: Understanding classed behavior
    ... the calculus (you referenced Newton, ... mean the calculus of Newton & Leibniz) needed a whole ... Been reading your google lookups a bit quick there, ... Don't mix geometry and empirical engineering. ...
    (sci.math)
  • Finsler and Sub-Finsler Geometry via PI
    ... found it useful to generalize Riemannian Geometry, ... general relativity, to Finsler and Sub-Finsler Geometry. ...
    (sci.stat.math)
  • Re: Gravity, Curvature vs Force
    ... it is only the observer that feels a need for a background. ... studied General Relativity? ... the mathematical treatment using geometry with a physical ... about nature can be made. ...
    (sci.physics.relativity)
Loading