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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.

  • Digital Logic Design

    • 2nd Edition
    • B. Holdsworth
    • English
  • János Bolyai Appendix

    The Theory of Space
    • 1st Edition
    • Volume 138
    • F. Kárteszi + 1 more
    • English
    The epoch-making work of János Bolyai is presented here, together with a supplement outlining Hungarian political and science history to help the reader to get acquainted with the miserable fate of János Bolyai and with his intellectual world. A facsimile of a copy of Bolyai's original 1831 Scientia Spatii (also known as the Appendix) is included, together with a translation. Comments and notes, and a survey of the effects of his work, complete the volume.
  • Logic Colloquium '85

    • 1st Edition
    • Volume 122
    • The Paris Logic The Paris Logic Group
    • English
    The bulk of this volume consists of invited addresses presented at the Colloquium. These contributions report on recent or ongoing research in some of the mainstream areas of mathematical logic: model theory, both pure and in its applications (to group theory and real algebraic geometry); and proof theory, applied to set theory and diophantine equations.The major novel aspect of the book is the important place accorded to the connections of mathematical logic with the neighboring disciplines: mathematical foundations of computer science, and philosophy of mathematics.
  • Using GEM Paint on the Amstrad PC1512/1640

    • 2nd Edition
    • Stephen Morris
    • English
  • Digital Logic Design

    • 2nd Edition
    • B. Holdsworth
    • English
  • Decompositions of Manifolds

    • 1st Edition
    • Volume 124
    • English
  • Real-variable Methods in Harmonic Analysis

    • 1st Edition
    • Volume 123
    • English
  • Approximation of Continuously Differentiable Functions

    • 1st Edition
    • Volume 130
    • J.G. Llavona
    • English
    This self-contained book brings together the important results of a rapidly growing area.As a starting point it presents the classic results of the theory. The book covers such results as: the extension of Wells' theorem and Aron's theorem for the fine topology of order m; extension of Bernstein's and Weierstrass' theorems for infinite dimensional Banach spaces; extension of Nachbin's and Whitney's theorem for infinite dimensional Banach spaces; automatic continuity of homomorphisms in algebras of continuously differentiable functions, etc.
  • A Mathematical Introduction to Dirac's Formalism

    • 1st Edition
    • Volume 36
    • S.J.L. van Eijndhoven + 1 more
    • English
    This monograph contains a functional analytic introduction to Dirac's formalism. The first part presents some new mathematical notions in the setting of triples of Hilbert spaces, mentioning the concept of Dirac basis. The second part introduces a conceptually new theory of generalized functions, integrating the notions of the first part.The last part of the book is devoted to a mathematical interpretation of the main features of Dirac's formalism. It involves a pairing between distributional bras and kets, continuum expansions and continuum matrices.
  • Boole's Logic and Probability

    A Critical Exposition from the Standpoint of Contemporary Algebra, Logic and Probability Theory
    • 2nd Edition
    • Volume 85
    • T. Hailperin
    • English
    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.