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

Cycles in Graphs

1st Edition
Volume 27
August 1, 1985
B.R. Alspach + 1 more
English
eBook
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This volume deals with a variety of problems involving cycles in graphs and circuits in digraphs. Leading researchers in this area present here 3 survey papers and 42 papers containing new results. There is also a collection of unsolved problems.

Statistical Methods for Meta-Analysis

1st Edition
July 10, 1985
Larry V. Hedges + 1 more
English
Hardback
9 7 8 0 1 2 3 3 6 3 8 0 0
eBook
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The main purpose of this book is to address the statistical issues for integrating independent studies. There exist a number of papers and books that discuss the mechanics of collecting, coding, and preparing data for a meta-analysis , and we do not deal with these. Because this book concerns methodology, the content necessarily is statistical, and at times mathematical. In order to make the material accessible to a wider audience, we have not provided proofs in the text. Where proofs are given, they are placed as commentary at the end of a chapter. These can be omitted at the discretion of the reader.Throughout the book we describe computational procedures whenever required. Many computations can be completed on a hand calculator, whereas some require the use of a standard statistical package such as SAS, SPSS, or BMD. Readers with experience using a statistical package or who conduct analyses such as multiple regression or analysis of variance should be able to carry out the analyses described with the aid of a statistical package.

Theory of Codes

1st Edition
Volume 117
July 10, 1985
Jean Berstel + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 4 3 6 4

The Theory of Matrices

2nd Edition
May 24, 1985
Peter Lancaster + 1 more
English
Hardback
9 7 8 0 1 2 4 3 5 5 6 0 6
eBook
9 7 8 0 0 8 0 5 1 9 0 8 1

In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a foundation in mathematics, computer science, or engineering. It will also be useful as a reference book for those working on matrices and linear algebra for use in their scientific work.

Differential Manifolds and Theoretical Physics

1st Edition
Volume 116
May 24, 1985
W. D. Curtis + 1 more
English
eBook
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Analysis and Design of Algorithms for Combinatorial Problems

1st Edition
Volume 25
May 1, 1985
G. Ausiello + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 2 2 0 9

Combinatorial problems have been from the very beginning part of the history of mathematics. By the Sixties, the main classes of combinatorial problems had been defined. During that decade, a great number of research contributions in graph theory had been produced, which laid the foundations for most of the research in graph optimization in the following years. During the Seventies, a large number of special purpose models were developed.The impressive growth of this field since has been strongly determined by the demand of applications and influenced by the technological increases in computing power and the availability of data and software. The availability of such basic tools has led to the feasibility of the exact or well approximate solution of large scale realistic combinatorial optimization problems and has created a number of new combinatorial problems.

Equivalents of the Axiom of Choice, II

1st Edition
Volume 116
March 1, 1985
H. Rubin + 1 more
English
eBook
9 7 8 0 0 8 0 8 8 7 6 5 4

This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and a final section of forms from topology, analysis and logic. The second part deals with the axiom of choice for classes - well-ordering theorem, choice and maximal principles.

Cylindric Algebras

1st Edition
Volume 115
February 1, 1985
Bozzano G Luisa
English
eBook
9 7 8 0 0 8 0 8 8 7 5 8 6

Volume II completes the description of the main aspects of the theory, covering representation questions, model theory and decision problems for them, translations from logic to algebra and vice-versa, and relationships with other algebraic versions of logic.

Differential Algebraic Groups

1st Edition
Volume 114
January 25, 1985
E.R. Kolchin
English
eBook
9 7 8 0 0 8 0 8 7 4 3 3 3

Intensional Mathematics

1st Edition
Volume 113
January 1, 1985
S. Shapiro
English
eBook
9 7 8 0 0 8 0 8 8 0 0 4 4

``Platonism and intuitionism are rival philosophies of Mathematics, the former holding that the subject matter of mathematics consists of abstract objects whose existence is independent of the mathematician, the latter that the subject matter consists of mental construction... both views are implicitly opposed to materialistic accounts of mathematics which take the subject matter of mathematics to consist (in a direct way) of material objects...'' FROM THE INTRODUCTIONAmong the aims of this book are: - The discussion of some important philosophical issues using the precision of mathematics. - The development of formal systems that contain both classical and constructive components. This allows the study of constructivity in otherwise classical contexts and represents the formalization of important intensional aspects of mathematical practice. - The direct formalization of intensional concepts (such as computability) in a mixed constructive/classic... context.

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