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Linear and Nonlinear Programming" is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as a means for learning existing material and for developing new results. One major insight of this type is the connection between the purely analytical characte...

This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular.  Again a connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve the problem.  As in the earlier editions, the material in this fourth edition is organized into three separate parts.  Part I is a self-contained introduction t...

Unifies the field of optimization with a few geometric principles. The number of books that can legitimately be called classics in their fields is small indeed, but David Luenberger's Optimization by Vector Space Methods certainly qualifies. Not only does Luenberger clearly demonstrate that a large segment of the field of optimization can be effectively unified by a few geometric principles of linear vector space theory, but his methods have ...

From cell phones to Web portals, advances in information and communications technology have thrust society into an information age that is far-reaching, fast-moving, increasingly complex, and yet essential to modern life. Now, renowned scholar and author David Luenberger has produced Information Science, a text that distills and explains the most important concepts and insights at the core of this ongoing revolution. The book represents the ma...

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.

This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular.  Again a connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve the problem.  As in the earlier editions, the material in this fourth edition is organized into three separate parts.  Part I is a self-contained introduction t...

Investment Science presents sound fundamentals and shows how real problems can be solved with modern, yet simple, methods. Throughout the book, the author uses mathematics to present essential ideas of investments and their applications in business practice. The creative use of binomial lattices to formulate and solve a wide variety of important finance problems is a special feature of the book.