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    • Families of Curves and the Origins of Partial Differentiation

      • 1st Edition
      • Volume 93
      • April 1, 2000
      • S.B. Engelsman
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 8 3 4
      • eBook
        9 7 8 0 0 8 0 8 7 2 0 4 9
      This book provides a detailed description of the main episodes in the emergence of partial differentiation during the period 1690-1740. It argues that the development of this concept - to a considerable degree of perfection - took place almost exclusively in problems concerning families of curves. Thus, the book shows the origins of the ideas and techniques which paved the way for the sudden introduction of partial differential equations in 1750. The main methodological characteristic of the book is its emphasis on a full understanding of the motives, problems and goals of the mathematicians of that time.

    • Trends in Mathematical Psychology

      • 1st Edition
      • Volume 20
      • April 1, 2000
      • E. Degreef + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 8 9 6
      • eBook
        9 7 8 0 0 8 0 8 6 6 7 4 1
      This volume comprises a selection of the papers presented at the 14th European Mathematical Psychology Group Meeting, held in Brussels, and three invited lectures. Presented are results and developments in mathematical psychology, especially in the theory of perception and learning, order and measurement, and data analysis.

    • Augmented Lagrangian Methods

      • 1st Edition
      • Volume 15
      • April 1, 2000
      • M. Fortin + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 5 3 6 1
      The purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.

    • Minimal Surfaces of Codimension One

      • 1st Edition
      • Volume 91
      • April 1, 2000
      • U. Massari + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 8 1 0
      • eBook
        9 7 8 0 0 8 0 8 7 2 0 2 5
      This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem.The fundamental idea is a quite elementary geometrical definition of codimension one surfaces. The isoperimetric property of the Euclidean balls, together with the modern theory of partial differential equations are used to solve the 19th Hilbert problem. Also included is a modern mathematical treatment of capillary problems.

    • Recent Topics in Nonlinear PDE IV

      • 1st Edition
      • Volume 160
      • April 1, 2000
      • M. Mimura + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 8 0 2 0 4
      This fourth volume concerns the theory and applications of nonlinear PDEs in mathematical physics, reaction-diffusion theory, biomathematics, and in other applied sciences. Twelve papers present recent work in analysis, computational analysis of nonlinear PDEs and their applications.

    • Progress in Optics

      • 1st Edition
      • Volume 40
      • February 9, 2000
      • English
      • Paperback
        9 7 8 0 4 4 4 5 4 1 9 6 3
      • eBook
        9 7 8 0 0 8 0 9 6 2 9 1 7
      The publication of volume forty of Progress in Optics marks a significant milestone. Volume one was published in 1961, a year after the invention of the laser, an event which triggered a wealth of new and exciting developments. Many of them have been reported in the 234 review articles published in this series since its inception.The present volume contains six review articles on a variety of subjects of current research interests. The first is concerned with polarimetric optical fibers and sensors, and reviews the main efforts and achievements in this field within the last two decades.The second article presents a review of recent researches on digital optical computing. After introducing the basic concepts needed for understanding the developments in this field, some feasibility experiments as well as software studies are discussed.

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