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.

Books Journals

Handbook of Mathematical Economics

1st Edition
Volume 1
January 1, 1984
Kenneth J. Arrow + 1 more
English
Hardback
9 7 8 0 4 4 4 8 6 1 2 6 9

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....

Convexity and Graph Theory

1st Edition
Volume 20
January 1, 1984
M. Rosenfeld + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 1 9 8 1

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.

Algebraic and Combinatorial Methods in Operations Research

1st Edition
Volume 19
January 1, 1984
R.E. Burkard + 2 more
English
eBook
9 7 8 0 0 8 0 8 7 2 0 6 3

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.

Orders: Description and Roles

1st Edition
Volume 23
January 1, 1984
M. Pouzet + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 2 1 0 0

Unified Integration

1st Edition
Volume 107
December 1, 1983
E. J. McShane
English
eBook
9 7 8 0 0 8 0 8 7 4 2 6 5

Set Theory An Introduction To Independence Proofs

1st Edition
Volume 102
December 1, 1983
K. Kunen
English
Hardback
9 7 8 0 4 4 4 8 6 8 3 9 8
eBook
9 7 8 0 0 8 0 5 7 0 5 8 7

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
eBook
9 7 8 0 0 8 0 9 1 6 3 6 1

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.

Introduction to Interval Computation

1st Edition
November 28, 1983
Gotz Alefeld + 1 more
English
eBook
9 7 8 0 0 8 0 9 1 6 3 6 1

Algebra

1st Edition
Volume 110
November 1, 1983
Larry C. Grove
English
eBook
9 7 8 0 0 8 0 8 7 4 2 9 6

Observers for Linear Systems

1st Edition
August 18, 1983
John O'Reilly
English
eBook
9 7 8 0 0 8 0 9 5 9 9 9 3

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.

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Books in Mathematics

Handbook of Mathematical Economics

Convexity and Graph Theory

Algebraic and Combinatorial Methods in Operations Research

Orders: Description and Roles

Unified Integration

Set Theory An Introduction To Independence Proofs

Introduction to Interval Computation

Introduction to Interval Computation

Algebra

Observers for Linear Systems

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