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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.

  • Matrix Computer Methods of Vibration Analysis

    • 1st Edition
    • D. J. Hatter
    • English
    Matrix Computer Methods of Vibration Analysis is an eight-chapter introductory text to a particular technique that combines vibration analysis, matrix algebra, and computational methods. This book is emerged from a series of lectures presented at the North-East London Polytechnic. Chapters 1 and 2 introduce the basic concepts of matrix algebra, followed by a discussion on the facilities and methods of use of the computer in Chapter 3. Chapter 4 deals with the synthesis and manipulation of the system matrix for a vibrating system consisting of a number of lumped parameters, each of these being either a point mass or a massless spring. Chapter 5 describes the concept of separate matrices for the stiffnesses and masses of beams or shafts, while Chapter 6 evaluate the systems subjected to forced vibration due to varying frequencies of excitation and damping. Chapters 7 considers the different types of element that can be encountered in the analysis of a shaft or beam for natural frequencies, with an emphasis on the algorithm for dealing with massless shaft elements and point masses. Chapter 8 covers the analysis and computational requirements of torsional vibration. This work is an invaluable source for mathematicians and computer programmers and researchers.

  • Handbook of Mathematical Formulas and Integrals

    • 1st Edition
    • Alan Jeffrey
    • English
    If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse.

  • Introduction to Biostatistics

    A Guide to Design, Analysis and Discovery.
    • 1st Edition
    • Ronald N. Forthofer + 1 more
    • English
    The Biostatistics course is often found in the schools of public Health, medical schools, and, occasionally, in statistics and biology departments. The population of students in these courses is a diverse one, with varying preparedness. The book assumes the reader has at least two years of high school algebra, but no previous exposure to statistics is required.Written for individuals who might be fearful of mathematics, this book minimizes the technical difficulties and emphasizes the importance of statistics in scientific investigation. An understanding of underlying design and analysis is stressed. The limitations of the research, design and analytical techniques are discussed, allowing the reader to accurately interpret results. Real data, both processed and raw, are used extensively in examples and exercises. Statistical computing packages - MINITAB, SAS and Stata - are integrated. The use of the computer and software allows a sharper focus on the concepts, letting the computer do the necessary number-crunching.

  • Geometric Measure Theory

    A Beginner's Guide
    • 2nd Edition
    • Frank Morgan
    • English
    Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry over proofs and technicalities, and includes a bibliography and abundant illustrations and examples. This Second Edition features a new chapter on soap bubbles as well as updated sections addressing volume constraints, surfaces in manifolds, free boundaries, and Besicovitch constant results. The text will introduce newcomers to the field and appeal to mathematicians working in the field.

  • Optimization Techniques in Statistics

    • 1st Edition
    • Jagdish S. Rustagi
    • English
    Statistics help guide us to optimal decisions under uncertainty. A large variety of statistical problems are essentially solutions to optimization problems. The mathematical techniques of optimization are fundamentalto statistical theory and practice. In this book, Jagdish Rustagi provides full-spectrum coverage of these methods, ranging from classical optimization and Lagrange multipliers, to numerical techniques using gradients or direct search, to linear, nonlinear, and dynamic programming using the Kuhn-Tucker conditions or the Pontryagin maximal principle. Variational methods and optimization in function spaces are also discussed, as are stochastic optimization in simulation, including annealing methods. The text features numerous applications, including:Finding maximum likelihood estimatesMarkov decision processesProgramming methods used to optimize monitoring of patients in hospitalsDerivation of the Neyman-Pearson lemmaThe search for optimal designsSimulation of a steel millSuitable as both a reference and a text, this book will be of interest to advanced undergraduate or beginning graduate students in statistics, operations research, management and engineering sciences, and related fields. Most of the material can be covered in one semester by students with a basic background in probability and statistics.

  • Numerical Methods in Software and Analysis

    • 2nd Edition
    • John R. Rice
    • English
    Numerical Methods, Software, and Analysis, Second Edition introduces science and engineering students to the methods, tools, and ideas of numerical computation. Introductory courses in numerical methods face a fundamental problem—there is too little time to learn too much. This text solves that problem by using high-quality mathematical software. In fact, the objective of the text is to present scientific problem solving using standard mathematical software. This book discusses numerous programs and software packages focusing on the IMSL library (including the PROTRAN system) and ACM Algorithms. The book is organized into three parts. Part I presents the background material. Part II presents the principal methods and ideas of numerical computation. Part III contains material about software engineering and performance evaluation. A uniform approach is used in each area of numerical computation. First, an intuitive development is made of the problems and the basic methods for their solution. Then, relevant mathematical software is reviewed and its use outlined. Many areas provide extensive examples and case studies. Finally, a deeper analysis of the methods is presented as in traditional numerical analysis texts.

  • Random Matrices

    Revised and Enlarged Second Edition
    • 2nd Edition
    • Madan Lal Mehta
    • English
    Since the publication of Random Matrices (Academic Press, 1967) so many new results have emerged both in theory and in applications, that this edition is almost completely revised to reflect the developments. For example, the theory of matrices with quaternion elements was developed to compute certain multiple integrals, and the inverse scattering theory was used to derive asymptotic results. The discovery of Selberg's 1944 paper on a multiple integral also gave rise to hundreds of recent publications. This book presents a coherent and detailed analytical treatment of random matrices, leading in particular to the calculation of n-point correlations, of spacing probabilities, and of a number of statistical quantities. The results are used in describing the statistical properties of nuclear excitations, the energies of chaotic systems, the ultrasonic frequencies of structural materials, the zeros of the Riemann zeta function, and in general the characteristic energies of any sufficiently complicated system. Of special interest to physicists and mathematicians, the book is self-contained and the reader need know mathematics only at the undergraduate level.

  • Wages and Earnings

    Reviews of United Kingdom Statistical Sources
    • 1st Edition
    • Andrew Dean
    • W. F. Maunder
    • English
    Wages and Earnings is a review of statistical sources, both official and non-official, on wages and earnings in Britain. The non-official sources of data relate mostly to salary statistics, while most of the official data are produced by the Department of Employment. Topics covered range from wage rates and salary scales to fringe benefits and labor costs. The concepts of incomes, earnings, wages, and salaries are also explained. This book is comprised of eight chapters and begins with an overview of earnings as well as the concepts of wages and salaries. The next chapter examines three official sources of wage rates: Time Rates of Wages and Hours of Work, Changes in Rates of Wages and Hours of Work, and the Gazette. The reader is then introduced to the official and unofficial statistics on salary scales, as well as salary surveys and official sources of earnings. Fringe benefits, with the associated concept of total remuneration, and employers' labor costs are also discussed, along with historical data on earnings and its components. The final chapter evaluates the various statistical sources of wages and earnings and ends with a few recommendations. This monograph will be a valuable resource for economists and economic policymakers as well as government officials.

  • Software for Computer Control

    Proceedings of the Second IFAC/IFIP Symposium on Software for Computer Control, Prague, Czechoslovakia, 11-15 June 1979
    • 1st Edition
    • M. Novak
    • English
    Software for Computer Control is a collection of papers and lectures presented at the Second IFAC/IFIP Symposium on Software for Computer Control, held in Prague, Czechoslovakia in June 1979. The symposium is organized with the hope of making vital contributions to the development of the computer sciences. The text focuses on the design and programming of process control systems used in various industrial processes and experiments. Topics covered include communication control in computer networks; program generators for process control applications; methods for the design of control software; presentations on software for microprocessors; real-time languages; algorithms for computer control; and applications of computer control in sciences. Computer scientists, systems analysts, programmers, and students of computer science will benefit from this book.

  • Further Computer Appreciation

    • 1st Edition
    • T. F. Fry
    • English
    Further Computer Appreciation is a comprehensive cover of the principles and aspects in computer appreciation. The book starts by describing the development of computers from the first to the third computer generations, to the development of processors and storage systems, up to the present position of computers and future trends. The text tackles the basic elements, concepts and functions of digital computers, computer arithmetic, input media and devices, and computer output. The basic central processor functions, data storage and the organization of data by classification of computer files, identifying records and coding are also considered. The book discusses as well the systems and management considerations, programming and software, and hardware systems. The text is useful for computer science, computer engineering and computer programming students.

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