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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.

    • Handbook of Numerical Methods for Hyperbolic Problems

      • 1st Edition
      • Volume 18
      • January 16, 2017
      • Remi Abgrall + 1 more
      • English
      • Hardback
        9 7 8 0 4 4 4 6 3 9 1 0 3
      • eBook
        9 7 8 0 4 4 4 6 3 9 1 1 0
      Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations.
    • Analysis of Step-Stress Models

      • 1st Edition
      • June 15, 2017
      • Debasis Kundu + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 9 7 1 3 7
      • eBook
        9 7 8 0 0 8 1 0 1 2 4 0 6
      Analysis of Step-Stress Models: Existing Results and Some Recent Developments describes, in detail, the step-stress models and related topics that have received significant attention in the last few years. Although two books, Bagdonavicius and Nikulin (2001) and Nelson (1990), on general accelerated life testing models are available, no specific book is available on step-stress models. Due to the importance of this particular topic, Balakrishnan (2009) provided an excellent review for exponential step-stress models. The scope of this book is much more, providing the inferential issues for different probability models, both from the frequentist and Bayesian points-of-view.
    • Foundations of Mathematical System Dynamics

      • 1st Edition
      • Volume 2
      • May 25, 2017
      • George J. Klir
      • English
      • eBook
        9 7 8 1 4 8 3 2 8 6 9 7 6
      This book is a foundational study of causality as conceived in the mathematical sciences. It is shown that modern mathematical dynamics involves a formulation of the fundamental concept of causality, and an exhaustive classification of causal systems. Among them are the 'self-steering' and 'self-regulating' systems, which together form the class of purposive systems, on whose specific properties the book then focuses. These properties are the mathematical-dynamic... foundations of the behavioural and social sciences. This is the definitive book on causality and purposive processes by the originator of the mathematical concept of self-steering.
    • Theory and Computation of Tensors

      • 1st Edition
      • August 12, 2016
      • Yimin Wei + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 3 9 5 3 3
      • eBook
        9 7 8 0 1 2 8 0 3 9 8 0 9
      Theory and Computation of Tensors: Multi-Dimensional Arrays investigates theories and computations of tensors to broaden perspectives on matrices. Data in the Big Data Era is not only growing larger but also becoming much more complicated. Tensors (multi-dimensional arrays) arise naturally from many engineering or scientific disciplines because they can represent multi-relational data or nonlinear relationships.
    • Arithmetic Applied Mathematics

      • 1st Edition
      • June 6, 2016
      • Donald Greenspan
      • V. Lakshmikantham + 1 more
      • English
      • Paperback
        9 7 8 0 0 8 0 2 5 0 4 6 5
      • eBook
        9 7 8 1 4 8 3 1 3 8 3 0 5
      Arithmetic Applied Mathematics deals with the deterministic theories of particle mechanics using a computer approach. Models of classical physical phenomena are formulated from both Newtonian and special relativistic mechanics with the aid only of arithmetic. The computational power of modern digital computers is highlighted, along with simple models of complex physical phenomena and solvable dynamical equations for both linear and nonlinear behavior. This book is comprised of nine chapters and opens by describing an experiment with gravity, followed by a discussion on the two basic types of forces that are important in classical physical modeling: long range forces and short range forces. Gravitation and molecular attraction and repulsion are considered, along with the basic concepts of position, velocity, and acceleration. The reader is then introduced to the N-body problem; conservative and non-conservative models of complex physical phenomena; foundational concepts of special relativity; and arithmetic special relativistic mechanics in one space dimension and three space dimensions. The final chapter is devoted to Lorentz invariant computations, with emphasis on the arithmetic modeling and analysis of a harmonic oscillator. This monograph will be of interest to mathematicians, physicists, and computer scientists.
    • Programming in GW-BASIC

      • 1st Edition
      • June 6, 2016
      • P. K. McBride
      • English
      • Paperback
        9 7 8 0 7 5 0 6 0 2 5 6 3
      • 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.
    • Divisor Theory in Module Categories

      • 1st Edition
      • June 3, 2016
      • W. V. Vasconcelos
      • Leopoldo Nachbin
      • English
      • Paperback
        9 7 8 0 7 2 0 4 2 7 1 5 8
      • eBook
        9 7 8 1 4 8 3 2 5 7 2 0 4
      North-Holland Mathematics Studies, 14: Divisor Theory in Module Categories focuses on the principles, operations, and approaches involved in divisor theory in module categories, including rings, divisors, modules, and complexes. The book first takes a look at local algebra and homology of local rings. Discussions focus on Gorenstein rings, Euler characteristics of modules, Macaulay rings, Koszul complexes, Noetherian and coherent rings, flatness, and Fitting's invariants. The text then explains divisorial ideals, including divisors, modules of dimension one, and higher divisorial ideals. The manuscript ponders on spherical modules and divisors and I-divisors. Topics include construction, Euler characteristics of Inj (A), change of rings and dimensions, spherical modules, resolutions and divisors, and elementary properties. The text is a valuable source of information for mathematicians and researchers interested in divisor theory in module categories.
    • Structural Design and Analysis

      • 1st Edition
      • June 3, 2016
      • C. C. Chamis
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 3 3 0 0
      • eBook
        9 7 8 1 4 8 3 2 1 6 7 3 7
    • Stress Testing and Risk Integration in Banks

      • 1st Edition
      • November 2, 2016
      • Tiziano Bellini
      • English
      • Hardback
        9 7 8 0 1 2 8 0 3 5 9 0 0
      • eBook
        9 7 8 0 1 2 8 0 3 6 1 1 2
      Stress Testing and Risk Integration in Banks provides a comprehensive view of the risk management activity by means of the stress testing process. An introduction to multivariate time series modeling paves the way to scenario analysis in order to assess a bank resilience against adverse macroeconomic conditions. Assets and liabilities are jointly studied to highlight the key issues that a risk manager needs to face. A multi-national bank prototype is used all over the book for diving into market, credit, and operational stress testing. Interest rate, liquidity and other major risks are also studied together with the former to outline how to implement a fully integrated risk management toolkit. Examples, business cases, and exercises worked in Matlab and R facilitate readers to develop their own models and methodologies.
    • Practical Business Statistics

      • 7th Edition
      • July 29, 2016
      • Andrew F. Siegel
      • English
      • Paperback
        9 7 8 0 1 2 8 0 4 2 5 0 2
      • eBook
        9 7 8 0 1 2 8 1 1 1 7 5 8
      Practical Business Statistics, Seventh Edition, provides a conceptual, realistic, and matter-of-fact approach to managerial statistics that carefully maintains, but does not overemphasize mathematical correctness. The book provides deep understanding of how to learn from data and how to deal with uncertainty while promoting the use of practical computer applications. This valuable, accessible approach teaches present and future managers how to use and understand statistics without an overdose of technical detail, enabling them to better understand the concepts at hand and to interpret results. The text uses excellent examples with real world data relating to business sector functional areas such as finance, accounting, and marketing. Written in an engaging style, this timely revision is class-tested and designed to help students gain a solid understanding of fundamental statistical principles without bogging them down with excess mathematical details.