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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.

BooksJournals

    • Arithmetic Applied Mathematics

      • 1st Edition
      • May 9, 2014
      • Donald Greenspan
      • V. Lakshmikantham + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 4 4 3 4
      • eBook
        9 7 8 1 4 8 3 2 7 9 8 5 5
      Arithmetic Applied Mathematics deals with concepts of arithmetic applied mathematics and uses a computer, rather than a continuum, approach to the deterministic theories of particle mechanics. Models of classical physical phenomena are formulated from both Newtonian and special relativistic mechanics using only arithmetic. Definitions of energy and momentum are presented that are identical to those of continuum mechanics. Comprised of nine chapters, this book begins by exploring discrete modeling as it relates to Newtonian mechanics and special relativistic mechanics, paying particular attention to gravity. The reader is then introduced to long-range forces such as gravitation and short-range forces such as molecular attraction and repulsion; the N-body problem; and conservative and non-conservative models of complex physical phenomena. Subsequent chapters focus on the foundational concepts of special relativity; arithmetic special relativistic mechanics in one space dimension and three space dimensions; and Lorentz invariant computations. This monograph will be of interest to students and practitioners in the fields of mathematics and physics.

    • Programmes for Animation

      • 1st Edition
      • May 9, 2014
      • Brian Salt
      • English
      • Paperback
        9 7 8 1 4 8 3 1 7 2 6 9 9
      • eBook
        9 7 8 1 4 8 3 1 8 8 5 0 8
      Programmes for Animation: A Handbook for Animation Technicians is a handbook on animation containing a list of 57 programs for use on a programmable calculator. Each program is preceded by explanations of how the necessary mathematical formulas were derived; each step of the program is also accompanied by a brief explanation. The programs are intended for the Hewlett-Packard HP-97 calculator, and can also be used on the HP-67 pocket calculator. Comprised of 17 chapters, this book begins by giving sufficient information about the functions of the keys of the calculator. The discussion then turns to field widths and zoom counter readings; the field chart and coordinate systems; and lens and table off-sets. Subsequent chapters deal with linear movements and fairings; exponential movements; middle fairings and co-fairings; rotations and circular pans; and simple harmonic motion. Exposures at different field widths are also explained, along with zooms using several pieces of artwork and movements along a curve. The book concludes by describing two-lens aerial image projection. This monograph was written specifically for animation technicians.

    • Current Issues in Computer Simulation

      • 1st Edition
      • May 9, 2014
      • Nabil R. Adam + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 5 2 9 5
      • eBook
        9 7 8 1 4 8 3 2 5 8 0 3 4
      Current Issues in Computer Simulation is a collection of papers dealing with computer simulation languages, statistical aspects of simulation, linkage with optimization and analytical models, as well as theory and application of simulation methodology. Some papers explain the General Purpose Simulation System (GPSS), a programming package incorporating a language to simulate discrete systems; and the SIMSCRIPT, a general-purpose simulation language using English commands, for example, FORTRAN. Another simulation language is the General Activity Simulation Program (GASP), providing for an organizational structure to build models to simulate the dynamic performance of systems on a digital computer. Other papers discuss simulation models of real systems, including corporate simulation models, multistage consumer choice process, determination of maximum occupancy for hospital facilities, and the juvenile court system. Many computer simulations are statistical sampling experiments performed on a model of the system under investigation. Other papers discuss some of the variables involved in the statistical design and analysis of simulation experiments such as variance reduction techniques, generation of random variates, and experimental layout. For example, one application simulates inventory systems when many items are stocked in various locations. The collection is suitable for programmers, computer engineers, businessmen, hospital administrators, schools officials, and depositories of huge volumes of information or data.

    • Elements of Combinatorial Computing

      • 1st Edition
      • May 9, 2014
      • Mark B. Wells
      • English
      • Paperback
        9 7 8 1 4 8 3 1 7 0 8 5 5
      • eBook
        9 7 8 1 4 8 3 1 8 6 6 6 5
      Elements of Combinatorial Computing focuses on the processes, principles, methodologies, and approaches involved in combinatorial computing. The publication first takes a look at a language for combinatorial computing, language implementation and program efficiency, and computer representation of mathematical objects. Discussions focus on geometric configurations, elementary combinatorial configurations, sets and vectors, natural numbers, program optimization, data representation, set manipulation, notation for iteration and recursion, and nested iteration and recursive programming. The text then takes a look at backtrack programming, generation of elementary configurations, and additional basic techniques and manipulations. Topics include isomorph rejection, transformations, finite set covering, sorting techniques, permutations with repeated objects, compositions, partitions, subsets and combinations, and basic backtracking and impasse detection. The book examines additional basic techniques and manipulations and applications of advanced algorithms. The publication is highly recommended for computer science experts and researchers interested in the elements in combinatorial computing.

    • An Introduction to Measure-Theoretic Probability

      • 2nd Edition
      • March 19, 2014
      • George G. Roussas
      • English
      • Hardback
        9 7 8 0 1 2 8 0 0 0 4 2 7
      • eBook
        9 7 8 0 1 2 8 0 0 2 9 0 2
      An Introduction to Measure-Theoretic Probability, Second Edition, employs a classical approach to teaching the basics of measure theoretic probability. This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics, probability and other related areas should be equipped with. This edition requires no prior knowledge of measure theory, covers all its topics in great detail, and includes one chapter on the basics of ergodic theory and one chapter on two cases of statistical estimation. Topics range from the basic properties of a measure to modes of convergence of a sequence of random variables and their relationships; the integral of a random variable and its basic properties; standard convergence theorems; standard moment and probability inequalities; the Hahn-Jordan Decomposition Theorem; the Lebesgue Decomposition T; conditional expectation and conditional probability; theory of characteristic functions; sequences of independent random variables; and ergodic theory. There is a considerable bend toward the way probability is actually used in statistical research, finance, and other academic and nonacademic applied pursuits. Extensive exercises and practical examples are included, and all proofs are presented in full detail. Complete and detailed solutions to all exercises are available to the instructors on the book companion site. This text will be a valuable resource for graduate students primarily in statistics, mathematics, electrical and computer engineering or other information sciences, as well as for those in mathematical economics/finance in the departments of economics.

    • Mathematical Analysis Fundamentals

      • 1st Edition
      • March 6, 2014
      • Agamirza Bashirov
      • English
      • Paperback
        9 7 8 0 1 2 8 1 0 2 6 9 5
      • Hardback
        9 7 8 0 1 2 8 0 1 0 0 1 3
      • eBook
        9 7 8 0 1 2 8 0 1 0 5 0 1
      The author’s goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options.

    • Effective Dynamics of Stochastic Partial Differential Equations

      • 1st Edition
      • February 27, 2014
      • Jinqiao Duan + 1 more
      • English
      • Hardback
        9 7 8 0 1 2 8 0 0 8 8 2 9
      • Paperback
        9 7 8 0 1 2 8 1 0 2 5 1 0
      • eBook
        9 7 8 0 1 2 8 0 1 2 6 9 7
      Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations. The authors’ experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The book helps readers by providing an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations. Each chapter also includes exercises and problems to enhance comprehension.

    • Advances in Computers

      • 1st Edition
      • Volume 93
      • February 26, 2014
      • English
      • Hardback
        9 7 8 0 1 2 8 0 0 1 6 2 2
      • eBook
        9 7 8 0 1 2 8 0 0 3 2 6 8
      Since its first volume in 1960, Advances in Computers has presented detailed coverage of innovations in computer hardware, software, theory, design, and applications. It has also provided contributors with a medium in which they can explore their subjects in greater depth and breadth than journal articles usually allow. As a result, many articles have become standard references that continue to be of significant, lasting value in this rapidly expanding field.

    • Differential Forms

      • 2nd Edition
      • February 19, 2014
      • Steven H. Weintraub
      • English
      • Hardback
        9 7 8 0 1 2 3 9 4 4 0 3 0
      • eBook
        9 7 8 0 1 2 3 9 4 6 1 7 1
      Differential forms are a powerful mathematical technique to help students, researchers, and engineers solve problems in geometry and analysis, and their applications. They both unify and simplify results in concrete settings, and allow them to be clearly and effectively generalized to more abstract settings. Differential Forms has gained high recognition in the mathematical and scientific community as a powerful computational tool in solving research problems and simplifying very abstract problems. Differential Forms, Second Edition, is a solid resource for students and professionals needing a general understanding of the mathematical theory and to be able to apply that theory into practice.

    • Advances in Computers

      • 1st Edition
      • Volume 92
      • January 11, 2014
      • English
      • Hardback
        9 7 8 0 1 2 4 2 0 2 3 2 0
      • eBook
        9 7 8 0 1 2 7 9 9 9 3 3 3
      Since its first volume in 1960, Advances in Computers has presented detailed coverage of innovations in computer hardware, software, theory, design, and applications. It has also provided contributors with a medium in which they can explore their subjects in greater depth and breadth than journal articles usually allow. As a result, many articles have become standard references that continue to be of significant, lasting value in this rapidly expanding field.

Related subjects

Mathematics and applied mathematics

Statistics and probability