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

Recent Progress in Fourier Analysis

1st Edition
Volume 111
January 1, 1985
I. Peral + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 2 2 2 3

Algorithms in Combinatorial Design Theory

1st Edition
Volume 26
January 1, 1985
C.J. Colbourn + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 2 2 5 4

The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.

Cycles in Graphs

1st Edition
Volume 27
January 1, 1985
B.R. Alspach + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 2 2 6 1

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.

Machine Intelligence and Pattern Recognition

1st Edition
Volume 2
January 1, 1985
Godfried T. Toussaint
English
eBook
9 7 8 1 4 8 3 2 5 7 1 1 2

Machine Intelligence and Pattern Recognition, Volume 2: Computational Geometry focuses on the operations, processes, methodologies, and approaches involved in computational geometry, including algorithms, polygons, convex hulls, and bucketing techniques. The selection first ponders on optimal parallel algorithms for selection, sorting, and computing convex hulls, simple on-line algorithms for convex polygons, and geometric algorithms that use the furthest-point Voronoi diagram. Discussions focus on algorithms that use the furthest-point Voronoi diagram, intersection of a convex polygon and a halfplane, point insertion, convex hulls and polygons and their representations, and parallel algorithm for selection and computing convex hulls. The text then examines optimal convex decompositions, expected time analysis of algorithms in computational geometry, and practical use of bucketing techniques in computational geometry. The book takes a look at minimum decompositions of polygonal objects, framework for computational morphology, display of visible edges of a set of convex polygons, and implementation study of two algorithms for the minimum spanning circle problem. Topics include rolling algorithm, shape of point sets, and decomposition of rectilinear and simple polygons and polygons with holes. The selection is a valuable source of data for researchers interested in computational geometry.

Random Graphs '83

1st Edition
Volume 28
January 1, 1985
A. Rucinski + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 2 2 9 2

The range of random graph topics covered in this volume includes structure, colouring, algorithms, mappings, trees, network flows, and percolation. The papers also illustrate the application of probability methods to Ramsey's problems, the application of graph theory methods to probability, and relations between games on graphs and random graphs.

College Algebra

2nd Edition
December 27, 1984
Bernard Kolman + 1 more
English
eBook
9 7 8 1 4 8 3 2 7 7 7 7 6

College Algebra, Second Edition is a comprehensive presentation of the fundamental concepts and techniques of algebra. The book incorporates some improvements from the previous edition to provide a better learning experience. It provides sufficient materials for use in the study of college algebra. It contains chapters that are devoted to various mathematical concepts, such as the real number system, the theory of polynomial equations, exponential and logarithmic functions, and the geometric definition of each conic section. Progress checks, warnings, and features are inserted. Every chapter contains a summary, including terms and symbols with appropriate page references; key ideas for review to stress the concepts; review exercises to provide additional practice; and progress tests to provide self-evaluation and reinforcement. The answers to all Review Exercises and Progress Tests appear in the back of the book. College students will find the book very useful and invaluable.

Computer Mathematics for Programmers

1st Edition
December 17, 1984
Darrell H. Abney + 2 more
English
eBook
9 7 8 1 4 8 3 2 7 2 1 9 1

Computer Mathematics for Programmers presents the Mathematics that is essential to the computer programmer. The book is comprised of 10 chapters. The first chapter introduces several computer number systems. Chapter 2 shows how to perform arithmetic operations using the number systems introduced in Chapter 1. The third chapter covers the way numbers are stored in computers, how the computer performs arithmetic on real numbers and integers, and how round-off errors are generated in computer programs. Chapter 4 details the use of algorithms and flowcharting as problem-solving tools for computer programming. Subsequent chapters focuses on specific mathematical topics such as algebra, sets, logic, Boolean algebra, matrices, graphing and linear programming, and statistics. Students of computer programming will find the text very useful.

Computer-Aided Design International Yearbook 1985

1st Edition
November 27, 1984
Alison Smith
English
eBook
9 7 8 1 4 8 3 1 4 0 7 9 7

Computer-Aided Design International Yearbook 1985 covers developments and trends in computer-aided design. This book examines the role of the computer in making design decisions and surveys the CAD industry. This text also presents a run-down of the latest acquisitions of companies in the field and a survey of the major firms working in CAD. The main part of this yearbook is taken up by a directory of products and vendors and manufacturers of CAD equipment. This yearbook consists of 13 chapters and begins with a discussion on the importance of computers in design decision-making, as well as historical precedents in the evolutionary stages in the development of human's control over his environment. The next chapter presents an overview of the status of the CAD industry. After providing a profile of Scottish company Lattice Logic, this book turns to Plessey Airports of the UK and its investment in CAD. A directory of products and manufacturers of CAD equipment follows. Entries are organized alphabetically by vendor and are grouped under four headings: turnkey systems, software, system components, and services. This book also provides lists of useful addresses and product indexes. This monograph will be of interest to CAD users and vendors alike.

Eigenvalues in Riemannian Geometry

2nd Edition
Volume 115
November 7, 1984
Isaac Chavel
English
Hardback
9 7 8 0 1 2 1 7 0 6 4 0 1
eBook
9 7 8 0 0 8 0 8 7 4 3 4 0

The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.

Handbook of Set-Theoretic Topology

1st Edition
November 1, 1984
K. Kunen + 1 more
English
eBook
9 7 8 1 4 8 3 2 9 5 1 5 2

This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest.In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.

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