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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.

  • Logic Colloquium '84

    • 1st Edition
    • J.B. Paris + 2 more
    • English
    This proceedings volume contains most of the invited talks presented at the colloquium. The main topics treated are the model theory of arithmetic and algebra, the semantics of natural languages, and applications of mathematical logic to complexity theory. The volume contains both surveys by acknowledged experts and original research papers presenting advances in these disciplines.

  • Topological Algebras

    • 1st Edition
    • Volume 24
    • English
    This book discusses general topological algebras; space C(T,F) of continuous functions mapping T into F as an algebra only (with pointwise operations); and C(T,F) endowed with compact-open topology as a topological algebra C(T,F,c). It characterizes the maximal ideals and homomorphisms closed maximal ideals and continuous homomorphisms of topological algebras in general and C(T,F,c) in particular. A considerable inroad is made into the properties of C(T,F,c) as a topological vector space. Many of the results about C(T,F,c) serve to illustrate and motivate results about general topological algebras. Attention is restricted to the algebra C(T,R) of real-valued continuous functions and to the pursuit of the maximal ideals and real-valued homomorphisms of such algebras. The chapter presents the correlation of algebraic properties of C(T,F) with purely topological properties of T. The Stone–Čech compactification and the Wallman compactification play an important role in characterizing the maximal ideals of certain topological algebras.

  • Introduction to Banach Spaces and their Geometry

    • 1st Edition
    • Volume 68
    • English

  • Advances in Graph Theory

    • 1st Edition
    • Volume 3
    • English

  • Aspects of Positivity in Functional Analysis

    • 1st Edition
    • Volume 122
    • R. Nagel + 2 more
    • English
    The contributions collected in this volume exhibit the increasingly wide spectrum of applications of abstract order theory in analysis and show the possibilities of order-theoretical argumentation.The following areas are discussed: potential theory, partial differential operators of second order, Schrodinger operators, theory of convexity, one-parameter semigroups, Lie algebras, Markov processes, operator-algebras, noncommutative integration and geometry of Banach spaces.

  • Algorithmic Aspects of Combinatorics

    • 1st Edition
    • Volume 2
    • English

  • Approximation of Vector Valued Functions

    • 1st Edition
    • Volume 25
    • English
    This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.

  • Near-rings: The Theory and its Applications

    • 1st Edition
    • Volume 23
    • English

  • Enzyme mathematics

    • 1st Edition
    • Volume 10
    • English

  • Pseudo-convexite¦, convexite¦ polynomiale et domaines dÆholomorphie en dimension infinie

    • 1st Edition
    • Volume 3
    • English

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