Books about Deterministic from Amazon.com

C++ is the language of choice for thousands of applications and millions of lines of code. With C++/CLI, developers can integrate existing C++ code into the .NET platform without rewriting their applications. This book explores the C++/CLI syntax, teaches how to mix native C++ and managed .NET code, and shows how to integrate C++ with Windows Forms, WPF (Avalon), and WCF (Indigo).

Imagine taking a C++-based program you've been using for a decade and giving it a snazzy new interface using Windows Presentation Foundation. How about making your old business applications talk to your new ones using Windows Communication Foundation. C++/CLI makes this--and more--possible. C++/CLI in Action shows you how to bridge the gap between your existing C++ code and the .NET platform. C++/CLI in Action will help you if:

You're hesitant to migrate to .NET because it means rewriting code in C# or VB.

You have significant C++ expertise that you want to leverage in the .NET.

You only need to use pieces of the .NET framework, such as Windows Forms or web services.

There's no fluff here. Designed for readers who already know C++, this book starts by teaching the unique aspects of the C++/CLI language. After a quick tour through the basics, readers work through examples of integrating standard C++ into the .NET-based applications and building programs that mix C++ and .NET code for maximum performance and efficiency..
Price: $20.91 [Notify me when price goes down.]

This book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamilton–Jacobi type and its interplay with Bellman’s dynamic programming approach to optimal control and differential games, as it developed after the beginning of the 1980s with the pioneering work of M. Crandall and P.L. Lions.

The book will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. In particular, it will appeal to system theorists wishing to learn about a mathematical theory providing a correct framework for the classical method of dynamic programming as well as mathematicians interested in new methods for first-order nonlinear PDEs. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an up-to-date reference book.

"The exposition is self-contained, clearly written and mathematically precise. The exercises and open problems…will stimulate research in the field. The rich bibliography (over 530 titles) and the historical notes provide a useful guide to the area."   — Mathematical Reviews

"With an excellent printing and clear structure (including an extensive subject and symbol registry) the book offers a deep insight into the praxis and theory of optimal control for the mathematically skilled reader. All sections close with suggestions for exercises…Finally, with more than 500 cited references, an overview on the history and the main works of this modern mathematical discipline is given."   — ZAA

"The minimal mathematical background...the detailed and clear proofs, the elegant style of presentation, and the sets of proposed exercises at the end of each section recommend this book, in the first place, as a lecture course for graduate students and as a manual for beginners in the field. However, this status is largely extended by the presence of many advanced topics and results by the fairly comprehensive and up-to-date bibliography and, particularly, by the very pertinent historical and bibliographical comments at the end of each chapter. In my opinion, this book is yet another remarkable outcome of the brilliant Italian School of Mathematics."   — Zentralblatt MATH

"The book is based on some lecture notes taught by the authors at several universities...and selected parts of it can be used for graduate courses in optimal control. But it can be also used as a reference text for researchers (mathematicians and engineers)...In writing this book, the authors lend a great service to the mathematical community providing an accessible and rigorous treatment of a difficult subject."   — Acta Applicandae Mathematicae

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Price: $25.95 [Notify me when price goes down.]

This textbook introduces the basic concepts and results of mathematical control and system theory. It is geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students. In addition it can be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background that is required of the reader is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory: the algebraic theory of linear systems, including controllability, observability, feedback equivalence, and minimality; stability via Lyapunov, as well as input/output methods; ideas of optimal control; observers and dynamic feedback; parameterization of stabilizing controllers (in the scalar case only); and some very basic facts about frequency domain such as the Nyquist criterion. Kalman filtering is also introduced briefly through a deterministic version of "optimal observation. This text is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch and does not assume any background other than basic mathematics. In this second edition, additional chapters and sections have been written dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls. A large number of errors and typos have been corrected, and a table of symbols has also been added. "This book will be very useful for mathematics and engineering interested in a modern and rigorous systems course, as well as for the experts in control theory and applications. " Mathematical Reviews.
Price: $54.96 [Notify me when price goes down.]

This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed..
Price: $43.20 [Notify me when price goes down.]

This book treats algorithms for the venerable "primality problem": Given a natural number n, decide whether it is prime or composite The problem is basic in number theory; efficient algorithms that solve it, i.e., algorithms that run in a number of computational steps which is polynomial in the number of decimal digits needed to write n, are important for theoretical computer science and for applications in algorithmics and cryptology. This book gives a self-contained account of theoretically and practically important efficient algorithms for the primality problem, covering the randomized algorithms by Solovay-Strassen and Miller-Rabin from the late 1970s as well as the recent deterministic algorithm of Agrawal, Kayal, and Saxena.

The volume is written for students of computer science, in particular those with a special interest in cryptology, and students of mathematics, and it may be used as a supplement for courses or for self-study..
Price: $27.27 [Notify me when price goes down.]

This book highlights recent developments in mathematical control theory and its applications to finance. It presents a collection of original contributions by distinguished scholars, addressing a large spectrum of problems and techniques. Control theory provides a large set of theoretical and computational tools with applications in a wide range of fields, ranging from "pure" areas of mathematics up to applied sciences like finance. Stochastic optimal control is a well established and important tool of mathematical finance. Other branches of control theory have found comparatively less applications to financial problems, but the exchange of ideas and methods has intensified in recent years. This volume should contribute to establish bridges between these separate fields. The diversity of topics covered as well as the large array of techniques and ideas brought in to obtain the results make this volume a valuable resource for advanced students and researchers..
Price: $117.82 [Notify me when price goes down.]