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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

    • A New Concept for Tuning Design Weights in Survey Sampling

      • 1st Edition
      • November 11, 2015
      • Sarjinder Singh + 4 more
      • English
      • Hardback
        9 7 8 0 0 8 1 0 0 5 9 4 1
      • eBook
        9 7 8 0 0 8 1 0 0 5 9 5 8
      A New Concept for Tuning Design Weights in Survey Sampling: Jackknifing in Theory and Practice introduces the new concept of tuning design weights in survey sampling by presenting three concepts: calibration, jackknifing, and imputing where needed. This new methodology allows survey statisticians to develop statistical software for analyzing data in a more precisely and friendly way than with existing techniques.

    • Numerical Solutions of Three Classes of Nonlinear Parabolic Integro-Differential Equations

      • 1st Edition
      • November 4, 2015
      • T Jangveladze + 2 more
      • English
      • Hardback
        9 7 8 0 1 2 8 0 4 6 2 8 9
      • eBook
        9 7 8 0 1 2 8 0 4 6 6 9 2
      This book describes three classes of nonlinear partial integro-differential equations. These models arise in electromagnetic diffusion processes and heat flow in materials with memory. Mathematical modeling of these processes is briefly described in the first chapter of the book. Investigations of the described equations include theoretical as well as approximation properties. Qualitative and quantitative properties of solutions of initial-boundary value problems are performed therafter. All statements are given with easy understandable proofs. For approximate solution of problems different varieties of numerical methods are investigated. Comparison analyses of those methods are carried out. For theoretical results the corresponding graphical illustrations are included in the book. At the end of each chapter topical bibliographies are provided.

    • Exact Statistical Inference for Categorical Data

      • 1st Edition
      • October 30, 2015
      • Guogen Shan
      • English
      • Paperback
        9 7 8 0 0 8 1 0 0 6 8 1 8
      • eBook
        9 7 8 0 1 2 8 0 3 9 4 8 9
      Exact Statistical Inference for Categorical Data discusses the way asymptotic approaches have been often used in practice to make statistical inference. This book introduces both conditional and unconditional exact approaches for the data in 2 by 2, or 2 by k contingency tables, and is an ideal reference for users who are interested in having the convenience of applying asymptotic approaches, with less computational time. In addition to the existing conditional exact inference, some efficient, unconditional exact approaches could be used in data analysis to improve the performance of the testing procedure.

    • The Joy of Finite Mathematics

      • 1st Edition
      • October 27, 2015
      • Chris P. Tsokos + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 2 9 6 7 1
      • eBook
        9 7 8 0 1 2 8 0 2 9 8 5 5
      The Joy of Finite Mathematics: The Language and Art of Math teaches students basic finite mathematics through a foundational understanding of the underlying symbolic language and its many dialects, including logic, set theory, combinatorics (counting), probability, statistics, geometry, algebra, and finance. Through detailed explanations of the concepts, step-by-step procedures, and clearly defined formulae, readers learn to apply math to subjects ranging from reason (logic) to finance (personal budget), making this interactive and engaging book appropriate for non-science, undergraduate students in the liberal arts, social sciences, finance, economics, and other humanities areas. The authors utilize important historical facts, pose interesting and relevant questions, and reference real-world events to challenge, inspire, and motivate students to learn the subject of mathematical thinking and its relevance. The book is based on the authors’ experience teaching Liberal Arts Math and other courses to students of various backgrounds and majors, and is also appropriate for preparing students for Florida’s CLAST exam or similar core requirements.

    • The Birnbaum-Saunders Distribution

      • 1st Edition
      • October 22, 2015
      • Victor Leiva
      • English
      • Paperback
        9 7 8 0 1 2 8 0 3 7 6 9 0
      • eBook
        9 7 8 0 1 2 8 0 3 8 2 7 7
      The Birnbaum-Saunders Distribution presents the statistical theory, methodology, and applications of the Birnbaum-Saunders distribution, a very flexible distribution for modeling different types of data (mainly lifetime data). The book describes the most recent theoretical developments of this model, including properties, transformations and related distributions, lifetime analysis, and shape analysis. It discusses methods of inference based on uncensored and censored data, goodness-of-fit tests, and random number generation algorithms for the Birnbaum-Saunders distribution, also presenting existing and future applications.

    • Hidden Semi-Markov Models

      • 1st Edition
      • October 22, 2015
      • Shun-Zheng Yu
      • English
      • Paperback
        9 7 8 0 1 2 8 0 2 7 6 7 7
      • eBook
        9 7 8 0 1 2 8 0 2 7 7 1 4
      Hidden semi-Markov models (HSMMs) are among the most important models in the area of artificial intelligence / machine learning. Since the first HSMM was introduced in 1980 for machine recognition of speech, three other HSMMs have been proposed, with various definitions of duration and observation distributions. Those models have different expressions, algorithms, computational complexities, and applicable areas, without explicitly interchangeable forms. Hidden Semi-Markov Models: Theory, Algorithms and Applications provides a unified and foundational approach to HSMMs, including various HSMMs (such as the explicit duration, variable transition, and residential time of HSMMs), inference and estimation algorithms, implementation methods and application instances. Learn new developments and state-of-the-art emerging topics as they relate to HSMMs, presented with examples drawn from medicine, engineering and computer science.

    • Fundamentals of Technical Mathematics

      • 1st Edition
      • October 16, 2015
      • Sarhan M. Musa
      • English
      • Paperback
        9 7 8 0 1 2 8 0 1 9 8 7 0
      • eBook
        9 7 8 0 1 2 8 0 2 0 1 6 6
      Fundamentals of Technical Mathematics introduces key, applied mathematics for engineering technologists and technicians. Through a simple, engaging approach, the book reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions. The book covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries, providing a go-to resource on the topic. Building on these foundations, it then explores concepts in arithmetic, introductory algebra, equations, inequalities, and modeling, graphs and functions, measurement, geometry, and trigonometry, all the while supporting these concepts with practical applications in a variety of technical and career vocations, including automotive, allied health, welding, plumbing, machine tool, carpentry, auto mechanics, HVAC, and many other fields. In addition, the book provides practical examples from a vast number of technologies.

    • Zero

      • 1st Edition
      • October 11, 2015
      • Syamal K. Sen + 1 more
      • English
      • Hardback
        9 7 8 0 0 8 1 0 0 7 7 4 7
      • eBook
        9 7 8 0 1 2 8 0 4 6 2 4 1
      Zero indicates the absence of a quantity or a magnitude. It is so deeply rooted in our psyche today that nobody will possibly ask "What is zero?" From the beginning of the very creation of life, the feeling of lack of something or the vision of emptiness/void has been embedded by the creator in all living beings. While recognizing different things as well as the absence of one of these things are easy, it is not so easy to fathom the complete nothingness viz. the universal void. Although we have a very good understanding of nothingness or, equivalently, a zero today, our forefathers had devoted countless hours and arrived at the representation and integration of zero and its compatibility not only with all non-zero numbers but also with all conceivable environments only after many painstaking centuries. Zero can be viewed/perceived in two distinct forms: (i) as a number in our mundane affairs and (ii) as the horrific void or Absolute Reality in the spiritual plane/the ultimate state of mind. Presented are the reasons why zero is a landmark discovery and why it has the potential to conjure up in an intense thinker the dreadful nothingness unlike those of other numbers such as 1, 2, and 3. Described are the representation of zero and its history including its deeper understanding via calculus, its occurrences and various roles in different countries as well as in sciences/engineering along with a stress on the Indian zero that is accepted as the time-invariant unique absolute zero. This is followed by the significant distinction between mathematics and computational mathematics and the concerned differences between the unique absolute zero and non-unique relative numerical zeros and their impact and importance in computations on a digital computer.

    • Boundary Value Problems for Systems of Differential, Difference and Fractional Equations

      • 1st Edition
      • October 1, 2015
      • Johnny Henderson + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 3 6 5 2 5
      • eBook
        9 7 8 0 1 2 8 0 3 6 7 9 2
      Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed.

    • Local Fractional Integral Transforms and Their Applications

      • 1st Edition
      • October 1, 2015
      • Xiao-Jun Yang + 2 more
      • English
      • Hardback
        9 7 8 0 1 2 8 0 4 0 0 2 7
      • eBook
        9 7 8 0 1 2 8 0 4 0 3 2 4
      Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms.

Related subjects

Mathematics and applied mathematics

Statistics and probability