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

Artificial Intelligence in Real-Time Control

1st Edition
May 23, 2014
M. G. Rodd + 1 more
English
eBook
9 7 8 1 4 8 3 1 4 6 8 9 8

Artificial Intelligence in Real-Time Control documents the proceedings of the IFAC Workshop held in Clyne Castle, Swansea, UK, 21-23 September 1988. It includes two keynote addresses that discussed architectural issues for expert systems in real-time control; the problem of representing knowledge and reasoning; and the problems encountered in obtaining such information. Other papers contained in these proceedings are representative of the major research bodies active throughout the world in the application of AI techniques in real-time control, although it was inevitable that a Europe-based conference would highlight the work of the European groups. While AI is clearly still in the process of establishing itself, it is undoubtedly a major new area of engineering endeavor. Practical experience is still relatively limited, and many of the results discussed at this event were obtained through simulation or, in a few cases, from reduced practical experience. The importance, though, lies in the fact that many countries are pouring extensive resources into the attempt to control difficult processes by using AI techniques. The wide cross section of interest was demonstrated by the fact that many diverse industries were represented at the workshop—ranging from power-systems control to telecommunications, and into the steel industry.

Mathematical Methods in Computer Aided Geometric Design

1st Edition
May 10, 2014
Tom Lyche + 1 more
English
eBook
9 7 8 1 4 8 3 2 5 7 8 0 8

Mathematical Methods in Computer Aided Geometric Design covers the proceedings of the 1988 International Conference by the same title, held at the University of Oslo, Norway. This text contains papers based on the survey lectures, along with 33 full-length research papers. This book is composed of 39 chapters and begins with surveys of scattered data interpolation, spline elastic manifolds, geometry processing, the properties of Bézier curves, and Gröbner basis methods for multivariate splines. The next chapters deal with the principles of box splines, smooth piecewise quadric surfaces, some applications of hierarchical segmentations of algebraic curves, nonlinear parameters of splines, and algebraic aspects of geometric continuity. These topics are followed by discussions of shape preserving representations, box-spline surfaces, subdivision algorithm parallelization, interpolation systems, and the finite element method. Other chapters explore the concept and applications of uniform bivariate hermite interpolation, an algorithm for smooth interpolation, and the three B-spline constructions. The concluding chapters consider the three B-spline constructions, design tools for shaping spline models, approximation of surfaces constrained by a differential equation, and a general subdivision theorem for Bézier triangles. This book will prove useful to mathematicians and advance mathematics students.

Computers and Informatics in Developing Countries

1st Edition
May 20, 2014
Mohan Munasinghe
English
eBook
9 7 8 1 4 8 3 1 0 1 1 0 1

Computers and Informatics in Developing Countries is a collection of papers documenting the conference of the Expert Group on Computers and Informatics for Development which investigates how the international scientific and development community can assist developing countries in using computer and informatics technology to promote progress and growth. The papers address the need for developing countries to formulate and apply computer and informatics policies for development, as well as the role of an International Centre for Computers and Informatics (ICCI) should play in the development process. The ICCI should be based on the network principle that links other regional and national computer centers. The advantages of the network principle are lower startup costs, avoidance of setting up a large organization, and localized services of needs. An international organization similar to ICCI can accelerate Third World developmental efforts following the identification of needs of developing countries as regards computer and informatics, setting of clear objectives of ICCI, and meeting with potential donors. The collection is suitable for heads of both non-government agencies and government departments involved in international aid, education, or development, and also to administrators of educational institutions and philanthropic organizations.

Graph Colouring and Variations

1st Edition
Volume 39
January 1, 1989
D. de Werra + 1 more
English
eBook
9 7 8 0 0 8 0 8 6 7 7 9 3

Fourier Transforms in NMR, Optical, and Mass Spectrometry

1st Edition
February 25, 2016
A.G. Marshall + 1 more
English
eBook
9 7 8 1 4 8 3 2 9 3 8 4 4

Written by spectroscopists for spectroscopists, here is a book which is not only a valuable handbook and reference work, but also an ideal teaching text for Fourier transform methods as they are applied in spectroscopy. It offers the first unified treatment of the three most popular types of FT/spectroscopy, with uniform notation and complete indexing of specialized terms. All mathematics is self-contained, and requires only a knowledge of simple calculus. The main emphasis is on pictures and physical analogs rather than detailed algebra. Instructive problems, presented at the end of each chapter, offer extensions of the basic treatment. Solutions are given or outlined for all problems.The book offers a wealth of practical information to spectroscopists. Non-ideal effects are treated in detail: noise (source- and detector-limited); non-linear response; limits to spectrometer performance based on finite detection period, finite data size, mis-phasing, etc. Common puzzles and paradoxes are explained: e.g. use of mathematically complex variables to represent physically real quantities; interpretation of negative frequency signals; on-resonance vs. off-resonance response; interpolation (when it helps and when it doesn't); ultimate accuracy of the data; differences between linearly- and circularly-polarized radiation; multiplex advantage or disadvantage, etc.Chapter 1 introduces the fundamental line shapes encountered in spectroscopy, from a simple classical mass-on-a-spring model. The Fourier transform relationship between the time-domain response to a sudden impulse and the steady-state frequency-domain response (absorption and dispersion spectra) to a continuous oscillation is established and illustrated. Chapters 2 and 3 summarize the basic mathematics (definitions, formulas, theorems, and examples) for continuous (analog) and discrete (digital) Fourier transforms, and their practical implications. Experimental aspects which are common to the signal (Chapter 4) and noise (Chapter 5) in all forms of Fourier transform spectrometry are followed by separate chapters for treatment of those features which are unique to FT/MS, FT/optical, FT/NMR, and other types of FT/spectroscopy.The list of references includes both historical and comprehensive reviews and monographs, along with articles describing several key developments. The appendices provide instant access to FT integrals and fast algorithms as well as a pictorial library of common Fourier transform function pairs. The comprehensive index is designed to enable the reader to locate particular key words, including those with more than one name.

Methods of Differential Geometry in Analytical Mechanics

1st Edition
Volume 158
August 18, 2011
M. de León + 1 more
English
eBook
9 7 8 0 0 8 0 8 7 2 6 9 8

The differential geometric formulation of analytical mechanics not only offers a new insight into Mechanics, but also provides a more rigorous formulation of its physical content from a mathematical viewpoint.Topics covered in this volume include differential forms, the differential geometry of tangent and cotangent bundles, almost tangent geometry, symplectic and pre-symplectic Lagrangian and Hamiltonian formalisms, tensors and connections on manifolds, and geometrical aspects of variational and constraint theories.The book may be considered as a self-contained text and only presupposes that readers are acquainted with linear and multilinear algebra as well as advanced calculus.

Approximation Problems in Analysis and Probability

1st Edition
Volume 159
August 18, 2011
M.P. Heble
English
eBook
9 7 8 0 0 8 0 8 7 2 7 0 4

This is an exposition of some special results on analytic or C∞-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C∞-approximation of functions defined in a separable Hilbert space. The volume also contains some special results on approximation of stochastic processes. The results explained in the book have been obtained over a span of nearly five decades.

Programming in GW-BASIC

1st Edition
June 6, 2016
P. K. McBride
English
eBook
9 7 8 1 4 8 3 1 0 4 2 2 5

Programming in GW-BASIC provides a reference guide on GW-Basic along with a range of extra commands and functions. The book discusses starting a program, program planning and the essentials of GW-Basic, including the most commonly used commands; how data is stored in memory; how a program fits together; and the use of the keyboard and screen in editing. The text also describes graphics and color and the string-handling functions. The principles and concepts of program structures, such as the Paintbox program and chaining, and the use of the Turtle graphics, such as Logo and DRAW, are also considered. The book covers two of the key techniques for handling data in quantity (sorting into order and searching for specific items), statistical analysis, and display program. The text then tackles PEEK and POKE, which examine sections of memory and serve as alternative to PRINT for creating screen displays, and advanced graphics, which enables one to analyze the screen, develop first a double-size print utility, then a sprite designer and some movement routines. The selection is useful to computer programmers and students taking computer courses.

Computer Jargon Explained

1st Edition
May 16, 2014
Nicholas Enticknap
English
eBook
9 7 8 1 4 8 3 1 3 5 5 3 3

Computer Jargon Explained is a feature in Computer Weekly publications that discusses 68 of the most commonly used technical computing terms. The book explains what the terms mean and why the terms are important to computer professionals. The text also discusses how the terms relate to the trends and developments that are driving the information technology industry. Computer jargon irritates non-computer people and in turn causes problems for computer people. The technology and the industry are changing so rapidly; it is very hard even for professionals to keep updated. Computer people do not have time to keep abreast of developments that do not immediately affect what they are doing. Nonetheless, they are expected to be experts: to have instant, detailed, accurate answers to every question a non-specialist may pose them. This book provides an alternative for computer professionals who need that wider perspective, a useful companion in familiarizing complicated computer jargons and technical terms.

Women in Computing

1st Edition
October 22, 2013
Judith A. Morris
English
eBook
9 7 8 1 4 8 3 1 4 2 1 8 0

Women in Computing presents how the computing industry delivered the opportunities for women. This book identifies the distinct attitudes in companies towards equal opportunities. Organized into eight chapters, this book begins with an overview of the problems, the opportunities, the successes and failures, and provides some insight into what can be done by women to make use of the massive potential they have in the future industry. This text then examines the problem to introduce computing to girls in school, which has not been taught properly in schools due to lack of right equipment or lack of training of the teachers. Other chapters consider the positive attitude of most major computer manufacturers and software houses to the employment of women. This book discusses as well the problems faced by women in the work place, including sexual harassment and lack of cooperation from male colleagues. The final chapter deals with the need for change in the computing industry. This book is a valuable resource for employees and employers.

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