Dynamic Optimization The Calculus of Variations and Optimal Control in Economics and Management

ISBN-10: 048648856X

ISBN-13: 9780486488561

Edition: 2nd 2012

List price: $33.75 Buy it from $20.12
eBook available
30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy


An excellent financial research tool, this celebrated classic focuses on the methods of solving continuous time problems. The two-part treatment covers the calculus of variations and optimal control. In the decades since its initial publication, this text has defined dynamic optimization courses taught to economics and management science students. 1998 edition.
New Starting from $20.12
eBooks Starting from $24.95
Buy eBooks
what's this?
Rush Rewards U
Members Receive:
You have reached 400 XP and carrot coins. That is the daily max!
Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
Algebra Online content $4.95 $1.99
Add to cart
Study Briefs
Introduction to Logic Online content $4.95 $1.99
Add to cart
Study Briefs
Business Math Formulas Online content $4.95 $1.99
Customers also bought

Book details

List price: $33.75
Edition: 2nd
Copyright year: 2012
Publisher: Dover Publications, Incorporated
Publication date: 11/21/2012
Binding: Paperback
Pages: 400
Size: 6.50" wide x 9.25" long x 1.00" tall
Weight: 1.100
Language: English

Preface to the Fourth Printing
Preface to the Second Edition
Preface to the First Edition
Calculus of Variations
Example Solved
Simplest Problem-Euler Equation
Examples and Interpretations
Solving the Euler Equation in Special Cases
Second Order Conditions
Isoperimetric Problem
Free End Value
Free Horizon-Transversality Conditions
Equality Constrained Endpoint
Salvage Value
Inequality Constraint Endpoints and Sensitivity Analysis
Inequality Constraints in (t, x)
Infinite Horizon Autonomous Problems
Most Rapid Approach Paths
Diagrammatic Analysis
Several Functions and Double Integrals
Optimal Control
Simplest Problem-Necessary Conditions
Several Variables
Fixed Endpoint Problems
Various Endpoint Conditions
Discounting, Current Values, Comparative Dynamics
Equilibria in Infinite Horizon Autonomous Problems
Bounded Controls
Further Control Constraint
Discontinuous and Bang-Bang Control
Singular Solutions and Most Rapid Approach Paths
The Pontryagin Maximum Principle, Existence
Further Sufficiency Theorems
Alternative Formulations
State Variable Inequality Constraints
Jumps in the State Variable, Switches in State Equations
Delayed Response
Optimal Control with Integral State Equations
Dynamic Programming
Stochastic Optimal Control
Differential Games
Calculus and Nonlinear Programming
Calculus Techniques
Mean-Value Theorems
Concave and Convex Functions
Maxima and Minima
Equality Constrained Optimization
Inequality Constrained Optimization
Line Integrals and Green's Theorem
Differential Equations
Linear First Order Differential Equations
Linear Second Order Differential Equations
Linear nth Order Differential Equations
A Pair of Linear Equations
Existence and Uniqueness of Solutions
Author Index
Subject Index
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.