First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices.

First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices.

This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues like Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby developing some important geometric and topological aspects. The basic ideas of optim...(展开全部)

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted ex...(展开全部)

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted ex...(展开全部)

在线阅读本书 The long awaited second edition of Dynamic Optimization is now available. Clear exposition and numerous worked examples made the first edition the premier text on this subject. Now, the new edition is expanded and updated to include essential coverage of current developments on differential games, especially as they apply to important economic questions; new developme...(展开全部)

在线阅读本书 The long awaited second edition of Dynamic Optimization is now available. Clear exposition and numerous worked examples made the first edition the premier text on this subject. Now, the new edition is expanded and updated to include essential coverage of current developments on differential games, especially as they apply to important economic questions; new developme...(展开全部)

詹姆斯·M·布坎南，理查德·A·马斯格雷夫，詹姆斯·M·布坎南，乔治梅森（Geirge Mason）大学教授和公共选择研究中心咨询主任，1986年度诺贝尔经济学奖获得者。理查德·A·马斯格雷夫，哈佛大学H H 博班克讲座政治经济学荣誉退休教授和加州大学桑塔克鲁兹分校聘任经济学教授。