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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.

  • An Introduction to Variational Inequalities and Their Applications

    • 1st Edition
    • Volume 88
    • April 23, 1980
    • English

  • Fundamentals of Maxwel's Kinetic Theory of a Simple Monatomic Gas

    Treated as a Branch of Rational Mechanics
    • 1st Edition
    • Volume 83
    • February 13, 1980
    • English

  • Introduction to Metamathematics

    • 1st Edition
    • January 1, 1980
    • 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.

  • Topics in Arithmetical Functions

    Asymptotic formulae for sums of reciprocals of arithmetical functions and related results
    • 1st Edition
    • Volume 43
    • January 1, 1980
    • English

  • Introduction to Algebraic Geometry and Algebraic Groups

    • 1st Edition
    • Volume 39
    • January 1, 1980
    • English

  • An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics

    • 1st Edition
    • Volume 41
    • January 1, 1980
    • English

  • Nonlinear Partial Differential Equations

    Sequential and weak solutions
    • 1st Edition
    • Volume 44
    • January 1, 1980
    • English

  • Graphs and Questionnaires

    • 1st Edition
    • Volume 32
    • January 1, 1980
    • English

  • Holomorphic Maps and Invariant Distances

    • 1st Edition
    • Volume 40
    • January 1, 1980
    • English

  • Some Applications of Topological K-Theory

    • 1st Edition
    • Volume 45
    • January 1, 1980
    • English

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