By L.A. Pars
Starting with an summary of basic difficulties and theories, the textual content advances to illustrative examples and examinations of variable end-points and the elemental sufficiency theorem. next chapters discover the isoperimetrical challenge, curves in area, the matter of Lagrange, and the parametric challenge. the ultimate bankruptcy is dedicated to a number of integrals, with a selected specialize in Dirichlet's precept. appropriate for complex undergraduate and graduate scholars, this article calls for a historical past in mathematical analysis.
Read Online or Download An Introduction to the Calculus of Variations (Dover Books on Mathematics) PDF
Similar calculus books
The research of mathematics differential operators is a unique and promising zone of arithmetic. this entire advent to the topic begins with the fundamentals: a dialogue of p-adic numbers and a few of the classical differential research at the box of p-adic numbers resulting in the definition of mathematics differential operators in this box.
This can be an advent to p-adic research that's ordinary but entire and which monitors the range of functions of the topic. Dr Schikhof is ready to indicate and clarify how p-adic and 'real' research range. This procedure promises the reader fast turns into conversant in this both 'real' research and appreciates its relevance.
Differential (and extra basic self-adjoint) operators concerning singular interactions come up obviously in a number issues resembling, classical and quantum physics, chemistry, and electronics. This ebook offers a scientific mathematical examine of those operators, with specific emphasis on spectral and scattering difficulties.
Illustration thought of huge teams is a vital and fast constructing a part of sleek arithmetic, giving upward thrust to various vital functions in likelihood and mathematical physics. This booklet presents the 1st concise and self-contained creation to the idea at the easiest but very nontrivial instance of the endless symmetric crew, concentrating on its deep connections to chance, mathematical physics, and algebraic combinatorics.
- Modern Methods in the Calculus of Variations: L^p Spaces (Springer Monographs in Mathematics)
- Special Functions and Orthogonal Polynomials (Cambridge Studies in Advanced Mathematics)
- Fractional Calculus for Scientists and Engineers: 84 (Lecture Notes in Electrical Engineering)
- Computing for Calculus
- Control Theory and Optimization I: Homogeneous Spaces and the Riccati Equation in the Calculus of Variations (Encyclopaedia of Mathematical Sciences)
Extra resources for An Introduction to the Calculus of Variations (Dover Books on Mathematics)