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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.

  • Convexity and Graph Theory

    • 1st Edition
    • Volume 20
    • January 1, 1984
    • M. Rosenfeld + 1 more
    • English
    Among the participants discussing recent trends in their respective fields and in areas of common interest in these proceedings are such world-famous geometers as H.S.M. Coxeter, L. Danzer, D.G. Larman and J.M. Wills, and equally famous graph-theorists B. Bollobás, P. Erdös and F. Harary. In addition to new results in both geometry and graph theory, this work includes articles involving both of these two fields, for instance ``Convexity, Graph Theory and Non-Negative Matrices'', ``Weakly Saturated Graphs are Rigid'', and many more. The volume covers a broad spectrum of topics in graph theory, geometry, convexity, and combinatorics. The book closes with a number of abstracts and a collection of open problems raised during the conference.

  • Orders: Description and Roles

    • 1st Edition
    • Volume 23
    • January 1, 1984
    • M. Pouzet + 1 more
    • English

  • Handbook of Mathematical Economics

    • 1st Edition
    • Volume 1
    • January 1, 1984
    • Kenneth J. Arrow + 1 more
    • English
    The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field.Volume 1 deals with Mathematical Methods in Economics, including reviews of the concepts and techniques that have been most useful for the mathematical development of economic theory.For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier....

  • Algebraic and Combinatorial Methods in Operations Research

    • 1st Edition
    • Volume 19
    • January 1, 1984
    • R.E. Burkard + 2 more
    • English
    For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability.Specif... the book contains contributions in the following fields: semigroup and semiring theory applied to combinatorial and integer programming, network flow theory in ordered algebraic structures, extremal optimization problems, decomposition principles for discrete structures, Boolean methods in graph theory and applications.

  • Unified Integration

    • 1st Edition
    • Volume 107
    • December 1, 1983
    • English

  • Set Theory An Introduction To Independence Proofs

    • 1st Edition
    • Volume 102
    • December 1, 1983
    • K. Kunen
    • English
    Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.

  • Introduction to Interval Computation

    • 1st Edition
    • November 28, 1983
    • Gotz Alefeld + 1 more
    • English
    This book is revised and expanded version of the original German text. The arrangement of the material and the structure are essentially unchanged. All remarks in the Preface to the German Edition regarding naming conventions for formulas, theorems, lemmas, and definitions are still valid as are those concerning the arrangement and choice of material.

  • Algebra

    • 1st Edition
    • Volume 110
    • November 1, 1983
    • English

  • Observers for Linear Systems

    • 1st Edition
    • August 18, 1983
    • John O'Reilly
    • English
    My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems. The book is intended for post-graduate students and researchers specializing in control systems, now a core subject in a number of disciplines. Forming, as it does, a self-contained volume it should also be of service to control engineers primarily interested in applications, and to mathematicians with some exposure to control problems.

  • Fundamentals of the Theory of Operator Algebras. V1

    Elementary Theory
    • 1st Edition
    • Volume 100I
    • June 29, 1983
    • English

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