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Offers an explanation of the development and applications of non-standard analysis. This title treats in detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids.

(Hardback)

Presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. This graduate-level textbook is suitable for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

(Hardback)

Presents the theory and the methods of nonlinear optimization, with proofs illustrated by examples and figures. This book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It is aimed at graduate students and researchers.

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Presents a framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in various fields, such as engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. This title is suitable for control theorists and engineers.

(Paperback)

(Paperback)

These notes contain the first complete treatment of cobordism, a topic that has become increasingly important in the past ten years. The subject is fully developed and the latest theories are treated. Originally published in 1968. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-pri

(Hardback)

(Hardback)

(Paperback)

Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieti

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(Paperback)

(Hardback)

(Paperback)

(Paperback)

(Paperback)

Studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. The author also uses the method developed by Langlands, Ihara, and Kottwitz, which is to compare the Grothendieck-Lefschetz fixed point formula and the Arthur-Selberg trace formula.

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Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups.

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The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. In this study, Robert Gunning

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(Hardback, Revised edition)

(Hardback)

Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It is of interest to applied mathematicians, and computer scientists.

(Hardback)

Presents an introduction to optimization through the use of illustrations and applications. This book focuses on analytically solving optimization problems with a finite number of continuous variables. It also provides introductions to classical and modern numerical methods of optimization and to dynamic optimization.

(Paperback)

The description for this book, Order-Preserving Maps and Integration Processes. (AM-31), will be forthcoming.

(Hardback)

Written for corporate strategic planners and market researchers as well as students of management, this book offers the most complete introduction to the methodology and applications of ordinal time series analysis available in book form.