A major problem in current applied mathematics is the lack of efficient and accurate techniques to solve optimization problems in the calculus of variations and optimal control theory. This is surprising since problems occur throughout many areas of applied mathematics, engineering, physical sciences, economics, and biomedicine. For instance, these techniques are used to solve rocket trajectory problems, current flow problems in electronics manufacturing, and financial risk problems in investing. The authors have written a unique book to remedy this problem. The first half of the book contains classical material in the field, the second half unique theoretical and numerical methods for constrained problems.
Constrained Optimization In The Calculus Of Variations an...
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1 of 1 people found the following review helpful:
5.0 out of 5 stars
An excellent textbook for students,
By A Customer
This review is from: Constrained Optimization in the Calculus of Variations and Optimal Control Theory (Hardcover)
The book covers ordinary optimization problems (constrained and unconstrained) and nonstochastic continuous-time dynamic problems. Its chapter on numerical theory and its appendix on related books are particular useful. The book presents optimization problems in a very understandable way. With many examples and graphic illustrations, students would be able to understand the materials easily. I would use it as a textbook for students in economics.
3.0 out of 5 stars
There are better options,
This review is from: Constrained Optimization In The Calculus Of Variations and Optimal Control Theory (Hardcover)
The price does not justify the quality of this text. All of the bits are there, but the presentation is kind of frustrating. The authors present the calculus of variations without introducing technical details, and then followup with the details in later chapters. I find this approach confusing and I end up jumping back and forth. A much better alternative is Charles Fox, "An introduction to the calculus of variations", and it's less than $10.
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Inside This Book
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First Sentence:
The purpose of this chapter is to give a brief discussion of optimization in the case of the finite dimensional problem. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
unconstrained calculus, relative minimum solution, weak relative minimum, strong relative minimum, critical point solution, minimal time problem, equality constrained problem, relative minimum point, critical point conditions, sufficiency theory, corner conditions, local truncation error, multiplier rule, reformulated problem, transversality conditions, optimal control theory, unconstrained problem, trajectory equation, constrained problems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pontryagin Minimum Principle, Problem of Bolza, Green's Theorem, Linear Regulator Problem, Weierstrass E-function, General Prob New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The purpose of this chapter is to give a brief discussion of optimization in the case of the finite dimensional problem. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
unconstrained calculus, relative minimum solution, weak relative minimum, strong relative minimum, critical point solution, minimal time problem, equality constrained problem, relative minimum point, critical point conditions, sufficiency theory, corner conditions, local truncation error, multiplier rule, reformulated problem, transversality conditions, optimal control theory, unconstrained problem, trajectory equation, constrained problems Key Phrases - Capitalized Phrases (CAPs): (learn more)
Pontryagin Minimum Principle, Problem of Bolza, Green's Theorem, Linear Regulator Problem, Weierstrass E-function, General Prob New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 21
books:
See all 21 books this book cites
1
book
cites this book:
- Calculus of Variations (Carus Monograph) by Gilbert Ames Bliss on 4 pages
- Calculus of Variations (Dover Books on Mathematics) by Robert Weinstock on 4 pages
- Calculus of Variations with Applications (Mathematics Series) by George M. Ewing in Back Matter (1), and Back Matter (2)
- Introduction to the Calculus of Variations (Dover Books on Mathematics) by Hans Sagan in Back Matter (1), and Back Matter (2)
- Elementary Linear Algebra by Howard Anton in Back Matter
See all 21 books this book cites
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