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Elsevier

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.

  • Introduction to Algebraic Geometry and Algebraic Groups

    • 1st Edition
    • Volume 39
    • English

  • Cohomology of Completions

    • 1st Edition
    • Volume 42
    • English

  • Nonlinear Partial Differential Equations

    Sequential and weak solutions
    • 1st Edition
    • Volume 44
    • English

  • Beginning Algebra

    • 1st Edition
    • Charles P. McKeague
    • English

  • New Developments in Boundary Elements Method

    Proceedings of the Second International Seminar on Recent Advances in Boundary Element Methods, held at the University of Southampton, March 1980
    • 1st Edition
    • C. A. Brebbia
    • English

  • Functional Analysis: Surveys and Recent Results II

    • 1st Edition
    • Volume 38
    • K.-D. Bierstedt + 1 more
    • English

  • Introduction to Metamathematics

    • 1st Edition
    • S.C. Kleene
    • English
    Stephen Cole Kleene was one of the greatest logicians of the twentieth century and this book is the influential textbook he wrote to teach the subject to the next generation. It was first published in 1952, some twenty years after the publication of Gadel's paper on the incompleteness of arithmetic, which marked, if not the beginning of modern logic, at least a turning point after which nothing was ever the same. Kleene was an important figure in logic, and lived a long full life of scholarship and teaching. The 1930s was a time of creativity and ferment in the subject, when the notion of computable moved from the realm of philosophical speculation to the realm of science. This was accomplished by the work of Kurt Gade1, Alan Turing, and Alonzo Church, who gave three apparently different precise definitions of computable. When they all turned out to be equivalent, there was a collective realization that this was indeed the right notion. Kleene played a key role in this process. One could say that he was there at the beginning of modern logic. He showed the equivalence of lambda calculus with Turing machines and with Gadel's recursion equations, and developed the modern machinery of partial recursive functions. This textbook played an invaluable part in educating the logicians of the present. It played an important role in their own logical education.

  • Multivariate Analysis

    • 1st Edition
    • Kanti V. Mardia + 2 more
    • English
    Multivariate Analysis deals with observations on more than one variable where there is some inherent interdependence between the variables. With several texts already available in this area, one may very well enquire of the authors as to the need for yet another book. Most of the available books fall into two categories, either theoretical or data analytic. The present book not only combines the two approaches but it also has been guided by the need to give suitable matter for the beginner as well as illustrating some deeper aspects of the subject for the research worker. Practical examples are kept to the forefront and, wherever feasible, each technique is motivated by such an example.

  • Functional Integration and Quantum Physics

    • 1st Edition
    • Volume 86
    • English
    It is fairly well known that one of Hilbert’s famous list of problems is that of developing an axiomatic theory of mathematical probability theory (this problem could be said to have been solved by Khintchine, Kolmogorov, andLevy), and also among the list is the “axiomatization of physics.” What is not so well known is that these are two parts of one and the same problem, namely, the sixth, and that the axiomatics of probability are discussed in the context of the foundations of statistical mechanics. Although Hilbert could not have known it when he formulated his problems, probability theory is also central to the foundations of quantum theory. In this book, I wish to describe a very different interface between probability and mathematical physics, namely, the use of certain notions of integration in function spaces as technical tools in quantum physics. Although Nelson has proposed some connection between these notions and foundational questions, we shall deal solely with their use to answer a variety of questions inconventional quantum theory.

  • Stochastic Models: Estimation and Control: v. 1

    • 1st Edition
    • Volume 141A
    • Maybeck
    • English

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