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Provides a self-contained introduction to max-plus algebra. This book explores the introduction of max-plus algebra and of system descriptions based upon it. It deals with a real application, namely the design of timetables for railway networks. It also examines various extensions, such as stochastic systems and min-max-plus systems.

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Synopsis coming soon.......

(Paperback)

The description for this book, Meromorphic Functions and Analytic Curves. (AM-12), will be forthcoming.

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The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.

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Includes fifteen articles which focus on the developments in complex analysis. This work covers a spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. It covers topics that include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, and more.

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A study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers.

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Develops techniques based on two ingredients: the theory of perverse sheaves and Larsen's Alternative. These techniques are then used to calculate the geometric monodromy groups attached to some specific universal families of (L-functions attached to) character sums over finite fields.

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One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. This book offers an exposition of Morse theory by John Milnor, recipient of the Fields Medal in 1962.

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This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory geometry, where the main

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The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), will be forthcoming.

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Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.

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Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.

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Combines ancient mythology and modern mathematics. This book offers helpful hints and complete solutions, and the appendixes include a brief history of the Hercules tale, and a review of mathematics.

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How might Hercules, the most famous of the Greek heroes, have used mathematics to complete his astonishing Twelve Labors From conquering the Nemean Lion and cleaning out the Augean Stables, to capturing the Erymanthean Boar and entering the Underworld to defeat the three-headed dog Cerberus, Hercules and his legend are the inspiration for this boo

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A mathematical sightseeing tour of the natural world by the author of The Magical Maze

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A student in class asks the math teacher: "Shouldn't minus times minus make minus" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem Few books in the field of mathematics encourage such

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Describes some major advances made in algebraic topology, centering on the nilpotence and periodicity theorems. This book begins with some elementary concepts of homotopy theory that are needed to state the problem. The latter portion provides specialists with a coherent and rigorous account of the proofs.

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The purpose of this book is to provide a self-contained account, accessible to the non-specialist, of algebra necessary for the solution of the integrability problem for transitive pseudogroup structures. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of

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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.

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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.

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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.

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