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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.

  • Introduction to Probability

    • 2nd Edition
    • George G. Roussas
    • English
    Introduction to Probability, Second Edition, discusses probability theory in a mathematically rigorous, yet accessible way. This one-semester basic probability textbook explains important concepts of probability while providing useful exercises and examples of real world applications for students to consider. This edition demonstrates the applicability of probability to many human activities with examples and illustrations. After introducing fundamental probability concepts, the book proceeds to topics including conditional probability and independence; numerical characteristics of a random variable; special distributions; joint probability density function of two random variables and related quantities; joint moment generating function, covariance and correlation coefficient of two random variables; transformation of random variables; the Weak Law of Large Numbers; the Central Limit Theorem; and statistical inference. Each section provides relevant proofs, followed by exercises and useful hints. Answers to even-numbered exercises are given and detailed answers to all exercises are available to instructors on the book companion site. This book will be of interest to upper level undergraduate students and graduate level students in statistics, mathematics, engineering, computer science, operations research, actuarial science, biological sciences, economics, physics, and some of the social sciences.

  • An Introduction to Nonsmooth Analysis

    • 1st Edition
    • Juan Ferrera
    • English
    Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail.

  • Ports and Inland Waterways

    Reviews of United Kingdom Statistical Sources
    • 1st Edition
    • R. E. Baxter + 1 more
    • W. F. Maunder
    • English
    Ports and Inland Waterways is a review of sources of statistics on ports and inland waterways in the United Kingdom and covers subjects such as foreign traffic by commodity; coastwise traffic by commodity; special traffic; scheme and non-scheme port traffic; container and roll-on traffic; contents of containers; driver accompanied and unaccompanied road goods vehicles; and restow movements. Transhipment and transit movements are also included, along with fishery traffic, passenger traffic, and shipping movements. This volume is comprised of 12 chapters and begins with an overview of ports and shipping places in the United Kingdom, with emphasis on standardization, collection, and collation of port statistics on a national basis and the creation of the National Ports Council under the Harbours Act of 1964. A brief summary of industry activity concerned and its organization is given in order to present a clear background understanding of how data are collected; what is being measured; the stage at which measurements are made; what the reporting units are; the channels through which returns are routed; and where they are processed. Statistics of customs ports and other areas of the industry are then provided, including those of manpower and finance. Proposed developments for the industry are discussed in the last chapter. This book will be of interest to transportation officials, statisticians, economists, and social science researchers.

  • Life Table Techniques and Their Applications

    • 1st Edition
    • Krishnan Namboodiri + 1 more
    • H. H. Winsborough
    • English
    This is the first volume to present a comprehensive treatment of the theory and application of life table techniques. The emphasis is placed on applications, and the theory is presented in such a way that individuals with minimal knowledge of calculus and matrix algebra can follow the argument.

  • Supersymmetries and Infinite-Dimensional Algebras

    • 1st Edition
    • Volume 3
    • N. H. March
    • English
    Recent devopments, particularly in high-energy physics, have projected group theory and symmetry consideration into a central position in theoretical physics. These developments have taken physicists increasingly deeper into the fascinating world of pure mathematics. This work presents important mathematical developments of the last fifteen years in a form that is easy to comprehend and appreciate.

  • Computers in the Service of Society

    • 1st Edition
    • Robert Lee Chartrand
    • English
    Computers in the Service of Society examines the role of computers in contemporary society. Based on a seminar series given in the spring of 1969 and co-sponsored by The American University, the book discusses the different societal problems that may be ameliorated by the application of computer technology. The focus of the book is on man’s response to computers, whether the multiple roles of the computer can be comprehended by the decision makers of our times, and whether the vast potential as well as limitations of automatic data processing can be conveyed to the public at large. The book consists of 10 chapters and begins with an overview of the evolution and impact of systems methodology and computer technology; their application to the management of information; and Congress’s increasing awareness of the potential of systems technology, especially the electronic computer. The text then turns its attention to the development of policies for national scientific and technical information systems; systems management in government; how computers help the government in serving society; and acceptance and use of computer technology by corporate management. The possibility of computer-utility services evolving as regulated services is also considered. The book concludes by assessing where the computer is likely to take us in the last third of the 20th century, paying particular attention to the possibility of applying computer technology to the operations of Congress and the legislative process. The text will be of interest to planners, decision makers, professionals, and students working in the field of computer technology.

  • Women in Computing

    • 1st Edition
    • Judith A. Morris
    • English
    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.

  • Evaluating Performance in Physical Education

    • 1st Edition
    • B. Don Franks + 1 more
    • English
    Evaluating Performance in Physical Education describes the tools and techniques that can be used by teachers to assess student performance, curriculum, and method of teaching. The book discusses conventional material in evaluating physical education performance through written, fitness tests, and elementary statistics. The text also explains nonparametric statistics, subjective evaluation, and a theoretical model for fitness and performance. The authors review the functions, evaluation, and administration of testing. The authors also explain in more detail subjective evaluation and offer three forms: 1) experience of the teacher; 2) skill to be rated; and 3) length of time for rating. In testing events, nonparametric statistical procedures show more reliability; parametric procedures are preferably to be used in established research stations. The authors also list some guidelines to be followed in evaluating the student such as objectives, assignment of grades, and acceptance of the grading plan. The book also discusses procedures when evaluation involves large groups. The text can assist physical education teachers, school administrators, and educators in evaluating their subject course or curricula.

  • Statistical Theory of Signal Detection

    International Series of Monographs in Electronics and Instrumentation
    • 2nd Edition
    • Carl W. Helstrom
    • D. W. Fry + 2 more
    • English
    Statistical Theory of Signal Detection, Second Edition provides an elementary introduction to the theory of statistical testing of hypotheses that is related to the detection of signals in radar and communications technology. This book presents a comprehensive survey of digital communication systems. Organized into 11 chapters, this edition begins with an overview of the theory of signal detection and the typical detection problem. This text then examines the goals of the detection system, which are defined through an analogy with the testing of statistical hypotheses. Other chapters consider the noise fluctuations in terms of probability distributions whereby the statistical information is used to design a receiver that attains the maximum rate of successful detections in a long series of trials. This book discusses as well the criteria of success and failure in statistical situations. The final chapter deals with the types of stochastic signals. This book is a valuable resource for mathematicians and engineers.

  • Differential Diagnosis of Internal Diseases

    Clinical Analysis and Synthesis of Symptoms and Signs on Pathophysiologic Basis
    • 3rd Edition
    • Julius Bauer
    • English
    Differential Diagnosis of Internal Diseases, Third Edition covers the diagnosis of numerous internal diseases based on symptoms and signs. This edition is organized by symptoms and signs that may be individually different even in the same disease and must be analyzed and understood on a pathophysiological basis within the framework of the individual personality. This book is composed of two main parts encompassing 20 chapters. Part I reviews the leading symptoms of headache, chest and abdominal pain, backache, pain in extremities, general feelings and consciousness disorders, vertigo, nausea, vomitus, cough, dyspnea, diarrhea, constipation, and hemorrhages. Part II examines the leading signs habitus, hyperthermia, fever, infectious disease, respiratory, cardiovascular, digestive, hematopoietic, and uropoietic systems diseases, and glycosuria. This book will be of value to general physicians, clinicians, and pathophysiologists.

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