The calculus of variations, whose origins can be traced to the works of Aristotle and Zenodoros, is now Ii vast repository supplying fundamental tools of exploration not only to the mathematician, but-as evidenced by current literature-also to those in most branches of science in which mathematics is applied. (Indeed, the macroscopic statements afforded by variational principles may provide the only valid mathematical formulation of many physical laws. ) As such, it retains the spirit of natural philosophy common to most mathematical investigations prior to this century. How� ever, it is a discipline in which a single symbol (b) has at times been assigned almost mystical powers of operation and discernment, not readily subsumed into the formal structures of modern mathematics. And it is a field for which it is generally supposed that most questions motivating interest in the subject will probably not be answerable at the introductory level of their formulation. In earlier articles,1,2 it was shown through several examples that a complete characterization of the solution of optimization problems may be available by elementary methods, and it is the purpose of this work to explore further the convexity which underlay these individual successes in the context of a full introductory treatment of the theory of the variational calculus. The required convexity is that determined through Gateaux variations, which can be defined in any real linear space and which provide an unambiguous foundation for the theory.

"About this title" may belong to another edition of this title.

Store Description

The Fireside Bookshop has now moved to Stroud in Gloucestershire.Our opening hours are from 10a.m.-5p.m. Tuesday to Saturday. Click on the Fireside Bookshop name above for more contact information.

Visit Seller's Storefront

Association Member

Members of these associations are committed to maintaining the highest standards. They vouch for the authenticity of all items offered for sale. They provide expert and detailed descriptions, disclose all significant defects and/or restorations, provide clear and accurate pricing, and operate with fairness and honesty during the purchase experience.

Seller's business information

Fireside Bookshop
United Kingdom

Terms of Sale:

Books are despatched the same day as the order is confirmed.We are very happy to
answer any other enquiries regarding our stock either by E mail or phone.
Rob Sheppard.Fireside Bookshop.8 Rowcroft, Stroud, Gloucestershire, GL5 3AZ
info@firesidebookshop.co.uk 01453 764500

Shipping Terms:

Postage costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra postage is required.
Any queries please email us or phone +44(0)1453 764500

Payment Methods
accepted by seller

Add to Wants

Items related to Variational Calculus with Elementary Convexity (Springer...

Variational Calculus with Elementary Convexity (Springer Series in Cognitive Development)

John L. Troutman

Used - Hardcover

Seller's business information