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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.
  • Selected Constants Oxydo-Reduction Potentials

    Tables of Constants and Numerical Data Affiliated to The International Union of Pure and Applied Chemistry, Vol. 8
    • 1st Edition
    • G. Charlot
    • English
    Selected Constants: Oxydo-Reduction Potentials contains Tables of the most probable value of the normal oxidation-reduction potential, or of the formal or apparent potential, of a given oxidation-reduction system. This book is prepared under the sponsorship of the Commission on Electrochemical Data of the Section of Analytical Chemistry of the International Union of Pure and Applied Chemistry. It is included in a general program of the Section of Analytical Chemistry. Entry items are classified in alphabetical order. This book will be of value to specialized and non-specialized chemists, teachers, and students.
  • Generating Functionology

    • 2nd Edition
    • Herbert S. Wilf
    • English
    This is the Second Edition of the highly successful introduction to the use of generating functions and series in combinatorial mathematics. This new edition includes several new areas of application, including the cycle index of the symmetric group, permutations and square roots, counting polyominoes, and exact covering sequences. An appendix on using the computer algebra programs MAPLE(r) and Mathematica(r) to generate functions is also included. The book provides a clear, unified introduction to the basic enumerative applications of generating functions, and includes exercises and solutions, many new, at the end of each chapter.
  • 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.
  • An Introduction to Psychoanalytic Theory of Motivation

    • 1st Edition
    • Walter Toman
    • English
    An Introduction to Psychoanalytic Theory of Motivation details the fundamental concepts in applying the psychoanalytic theory in understanding motivation. The title addresses the short-comings of the psychoanalytic theory, particularly the lack of scientific literature. The first part of the text covers the critical concepts in psychoanalytic theory, such as the psychological forces, defense mechanisms, superego, and primal desires. In the second part, the selection details the theory at work; this part discusses the major stages of life from a psychoanalytic perspective. The text also talks about a system of psychopathology, along with the consideration to take in psychotherapy. The book will be of great interest to students, researchers, and practitioners of behavioral science.
  • 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.
  • 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.
  • Probabilistic Approach to Mechanisms

    • 1st Edition
    • Volume 8
    • B.Z. Sandler
    • English
    This book discusses the application of probabilistics to the investigation of mechanical systems. The book shows, for example, how random function theory can be applied directly to the investigation of random processes in the deflection of cam profiles, pitch or gear teeth, pressure in pipes, etc. The author also deals with some other technical applications of probabilistic theory, including, amongst others, those relating to pneumatic and hydraulic mechanisms and roller bearings. Many of the aspects are illustrated by examples of applications of the techniques under discussion.