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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

BooksJournals

    • Mathematical Models and Finite Elements for Reservoir Simulation

      • 1st Edition
      • Volume 17
      • January 1, 1986
      • G. Chavent + 1 more
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 5 3 8 5
      Numerical simulators for oil reservoirs have been developed over the last twenty years and are now widely used by oil companies. The research, however, has taken place largely within the industry itself, and has remained somewhat inaccessible to the scientific community. This book hopes to remedy the situation by means of its synthesized presentation of the models used in reservoir simulation, in a form understandable to both mathematicians and engineers.The book aims to initiate a rigorous mathematical study of the immiscible flow models, partly by using the novel `global pressure' approach in treating incompressible two-phase problems. A finite element approximation technique based on the global pressure variational model is presented, and new approaches to the modelling of various kinds of multiphase flow through porous media are introduced.Much of the material is highly original, and has not been presented elsewhere. The mathematical and numerical models should be of great interest to applied mathematicians, and to engineers seeking an alternative approach to reservoir modelling.

    • Combinatorics '84

      • 1st Edition
      • January 1, 1986
      • M. Biliotti + 4 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 2 3 7
      • eBook
        9 7 8 0 0 8 0 8 7 2 3 4 6
      Interest in combinatorial techniques has been greatly enhanced by the applications they may offer in connection with computer technology. The 38 papers in this volume survey the state of the art and report on recent results in Combinatorial Geometries and their applications.Contrib... V. Abatangelo, L. Beneteau, W. Benz, A. Beutelspacher, A. Bichara, M. Biliotti, P. Biondi, F. Bonetti, R. Capodaglio di Cocco, P.V. Ceccherini, L. Cerlienco, N. Civolani, M. de Soete, M. Deza, F. Eugeni, G. Faina, P. Filip, S. Fiorini, J.C. Fisher, M. Gionfriddo, W. Heise, A. Herzer, M. Hille, J.W.P. Hirschfield, T. Ihringer, G. Korchmaros, F. Kramer, H. Kramer, P. Lancellotti, B. Larato, D. Lenzi, A. Lizzio, G. Lo Faro, N.A. Malara, M.C. Marino, N. Melone, G. Menichetti, K. Metsch, S. Milici, G. Nicoletti, C. Pellegrino, G. Pica, F. Piras, T. Pisanski, G.-C. Rota, A. Sappa, D. Senato, G. Tallini, J.A. Thas, N. Venanzangeli, A.M. Venezia, A.C.S. Ventre, H. Wefelscheid, B.J. Wilson, N. Zagaglia Salvi, H. Zeitler.

    • Large Scale Eigenvalue Problems

      • 1st Edition
      • Volume 127
      • January 1, 1986
      • J. Cullum + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 6 8 3 7
      • eBook
        9 7 8 0 0 8 0 8 7 2 3 8 4
      Results of research into large scale eigenvalue problems are presented in this volume. The papers fall into four principal categories:novel algorithms for solving large eigenvalue problems, novel computer architectures, computationally-rele... theoretical analyses, and problems where large scale eigenelement computations have provided new insight.

    • Boole's Logic and Probability

      • 2nd Edition
      • Volume 85
      • October 1, 1986
      • T. Hailperin
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 2 1 3
      • eBook
        9 7 8 0 0 8 0 8 8 0 0 5 1
      Since the publication of the first edition in 1976, there has been a notable increase of interest in the development of logic. This is evidenced by the several conferences on the history of logic, by a journal devoted to the subject, and by an accumulation of new results. This increased activity and the new results - the chief one being that Boole's work in probability is best viewed as a probability logic - were influential circumstances conducive to a new edition.Chapter 1, presenting Boole's ideas on a mathematical treatment of logic, from their emergence in his early 1847 work on through to his immediate successors, has been considerably enlarged. Chapter 2 includes additional discussion of the ``uninterpretable'' notion, both semantically and syntactically. Chapter 3 now includes a revival of Boole's abandoned propositional logic and, also, a discussion of his hitherto unnoticed brush with ancient formal logic. Chapter 5 has an improved explanation of why Boole's probability method works. Chapter 6, Applications and Probability Logic, is a new addition. Changes from the first edition have brought about a three-fold increase in the bibliography.

    • Complex Analysis, Functional Analysis and Approximation Theory

      • 1st Edition
      • Volume 125
      • May 1, 1986
      • J. Mujica
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 2 3 6 0
      This proceedings volume contains papers of research of expository nature, and is addressed to research workers and advanced graduate students in mathematics. Some of the papers are the written and expanded texts of lectures delivered at the conference, whereas others have been included by invitation.

    • Cubic Forms

      • 2nd Edition
      • Volume 4
      • February 1, 1986
      • Yu.I. Manin
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 1 3 8
      • eBook
        9 7 8 0 0 8 0 9 6 3 1 6 7
      Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references.The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems, the theory of the descent and obstructions to the Hasse principle on rational varieties, and recent applications of K-theory to arithmetic.

Related subjects

Mathematics and applied mathematics

Statistics and probability