Integrates the traditional approach to differential equations with the modern systems and control theoretic approach to dynamic systems, emphasizing theoretical principles and classic models in a wide variety of areas. Provides a particularly comprehensive theoretical development that includes chapters on positive dynamic systems and optimal control theory. Contains numerous problems.
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Integrates the traditional approach to differential equations with the modern systems and control theoretic approach to dynamic systems, emphasizing theoretical principles and classic models in a wide variety of areas. Provides a particularly comprehensive theoretical development that includes chapters on positive dynamic systems and optimal control theory. Contains numerous problems.
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Most Helpful Customer Reviews
24 of 24 people found the following review helpful:
5.0 out of 5 stars
The best mathematical textbook ever written,
By A Customer
This review is from: Introduction to Dynamic Systems: Theory, Models, and Applications (Paperback)
I studied this book for two semesters as a doctoral student, and consider it the best mathematical textbook ever written. Luenberger writes concisely and with great clarity and elegance. His notation is crisp and easy to follow. The book begins with basic concepts of matrix algebra and dynamic equations, and then builds step-by-step to encompass an enormously broad set of applications. The examples are drawn from all over the map, and are great fun to explore. This is a truly mind-expanding text.Thomas P. Lyon, Associate Professor, Business Economics and Public Policy, Indiana University
19 of 19 people found the following review helpful:
5.0 out of 5 stars
Excellent treatment of dynamic systems,
By
This review is from: Introduction to Dynamic Systems: Theory, Models, and Applications (Paperback)
This introduction to dynamic systems is presented with an algebraic formalism which makes things clear and concise. All concepts are explained intuitively as well as formally, having in mind the objective of making things clear. Few books exhibit such a good approach and other reviewers are right when they emphasize the highly pedagogical quality of Luenberger's books ! This is no overstatement. The advantage of using this algebraic formulation lies in the simplicity as well as the understandability of the state-space approach, which is best explained in those terms. Most books assume that everyone knows what a state space is without explicitly showing what it is really about. This book just uses the reverse assumption, in that you're not asssumed to know everything before getting into it. Only some basic knowledge in algebra (undergraduate-level) is required but even without experience in algebraic formalism, it is possible to go through the content thanks to the important number of examples and the intuitive explanations. A must-read !
5 of 5 people found the following review helpful:
5.0 out of 5 stars
Good book, but consider a used copy!,
By kelly londry "computational dynamics & virtua... (Ann Arbor, Michigan) - See all my reviews (REAL NAME)
This review is from: Introduction to Dynamic Systems: Theory, Models, and Applications (Paperback)
This "2001 edition" (according to Amazon) was actually copyrighted in 1979. While the book remains very useful, prospective consumers may wish to consider a good used copy in order to save some money.
Although the publication date is misleading, at least Wiley correctly prints the original copyright date within its "new" texts (there are other examples of this practice). Springer-Verlag performs still greater magic. In "Linear and Nonlinear Programming", also by Luenberger, Springer decided to print the copyright date as 2003 instead of 1984, thus giving the impression that the text contains an up-to-date treatment of the subject matter. If I were buying a copy of "Green Eggs and Ham", I would not care about an incorrect copyright date. However, where technical subjects are concerned, this practice borders on fraud (in my view). It is a deliberate attempt to deceive its customers into believing that they are purchasing something more current and relevant than is actually the case.
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Inside This Book
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First Sentence:
Ordinary difference and differential equations are versatile tools of analysis. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
cohort population model, eigenvalue placement theorem, optimal return function, original difference equation, summarizing function, positive linear systems, complete controllability, complete observability, cobweb model, transient class, communicating class, embedded statics, terminal constraints, dominant eigenvalue, proper rational function, nonhomogeneous equation, state variable form, corresponding homogeneous equation, dynamic system analysis, positive systems, positive matrices, identity observer, controllability matrix, dynamic diagrams, optimal control problem Key Phrases - Capitalized Phrases (CAPs): (learn more)
Peter Principle, Monte Carlo, Natchez Indian New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Ordinary difference and differential equations are versatile tools of analysis. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
cohort population model, eigenvalue placement theorem, optimal return function, original difference equation, summarizing function, positive linear systems, complete controllability, complete observability, cobweb model, transient class, communicating class, embedded statics, terminal constraints, dominant eigenvalue, proper rational function, nonhomogeneous equation, state variable form, corresponding homogeneous equation, dynamic system analysis, positive systems, positive matrices, identity observer, controllability matrix, dynamic diagrams, optimal control problem Key Phrases - Capitalized Phrases (CAPs): (learn more)
Peter Principle, Monte Carlo, Natchez Indian 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 53
books:
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13
books
cite this book:
See all 13 books citing this book
- The Peter Principle by Laurence J. Peter on page 222, and Back Matter
- Differential Equations (with CD-ROM) by Paul Blanchard in Back Matter (1), and Back Matter (2)
- Dynamic Programming (Dover Books on Computer Science) by Richard Bellman on page 419, and Back Matter
- Operational Methods in Applied Mathematics by H C Carslaw in Back Matter
- Introduction to Thermodynamics of Irreversible Processes by I. Prigogine in Back Matter
See all 53 books this book cites
- Earth at a Crossroads: Paths to a Sustainable Future by Hartmut Bossel in Back Matter (1), and Back Matter (2)
- Stability and Control of Dynamical Systems with Applications: A Tribute to Anthony N. Michel (Control Engineering) by Derong Liu on page 394
- Lectures on Embedded Systems: European Educational Forum School on Embedded Systems, Veldhoven, The Netherlands, November 25-29, 1996 (Lecture Notes in Computer Science) by Grzegorz Rozenberg on page 112
- Calculations for Engineering Economic Analysis by Max Kurtz on page 293
- Introduction to Matrix Theory (Series on Concrete and Applicable Mathematics) by Ferenc Szidarovszky in Back Matter
See all 13 books citing this book
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