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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

    • C*-Algebras and Their Automorphism Groups

      • 2nd Edition
      • Volume -
      • August 8, 2018
      • Søren Eilers + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 4 1 2 2 9
      • eBook
        9 7 8 0 1 2 8 1 4 1 2 3 6
      This elegantly edited landmark edition of Gert Kjærgård Pedersen’s C*-Algebras and their Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the wealth of relevant novel results revealed over the past forty years. Revered from publication for its writing clarity and extremely elegant presentation of a vast space within operator algebras, Pedersen’s monograph is notable for reviewing partially ordered vector spaces and group automorphisms in unusual detail, and by strict intention releasing the C*-algebras from the yoke of representations as Hilbert space operators. Under the editorship of Søren Eilers and Dorte Olesen, the second edition modernizes Pedersen’s work for a new generation of C*-algebraists, with voluminous new commentary, all-new indexes, annotation and terminology annexes, and a surfeit of new discussion of applications and of the author’s later work.

    • Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

      • 1st Edition
      • January 4, 2018
      • Abraham Ungar
      • English
      • Paperback
        9 7 8 0 1 2 8 1 1 7 7 3 6
      • eBook
        9 7 8 0 1 2 8 1 1 7 7 4 3
      Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n ∈ N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein’s special theory of relativity. It is based on a novel parametric realization of pseudo-rotations by a vector-like parameter with two orientation parameters. The book is of interest to specialized researchers in the areas of algebra, geometry and mathematical physics, containing new results that suggest further exploration in these areas.

    • Computational Analysis and Understanding of Natural Languages: Principles, Methods and Applications

      • 1st Edition
      • Volume 38
      • August 27, 2018
      • English
      • Hardback
        9 7 8 0 4 4 4 6 4 0 4 2 0
      • eBook
        9 7 8 0 4 4 4 6 4 0 4 3 7
      Computational Analysis and Understanding of Natural Languages: Principles, Methods and Applications, Volume 38, the latest release in this monograph that provides a cohesive and integrated exposition of these advances and associated applications, includes new chapters on Linguistics: Core Concepts and Principles, Grammars, Open-Source Libraries, Application Frameworks, Workflow Systems, Mathematical Essentials, Probability, Inference and Prediction Methods, Random Processes, Bayesian Methods, Machine Learning, Artificial Neural Networks for Natural Language Processing, Information Retrieval, Language Core Tasks, Language Understanding Applications, and more. The synergistic confluence of linguistics, statistics, big data, and high-performance computing is the underlying force for the recent and dramatic advances in analyzing and understanding natural languages, hence making this series all the more important.

    • Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

      • 1st Edition
      • February 5, 2018
      • Dumitru Motreanu
      • English
      • Paperback
        9 7 8 0 1 2 8 1 3 3 8 6 6
      • eBook
        9 7 8 0 1 2 8 1 3 3 9 3 4
      Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references.

    • Mathematical Physics with Partial Differential Equations

      • 2nd Edition
      • February 26, 2018
      • James Kirkwood
      • English
      • Paperback
        9 7 8 0 1 2 8 1 4 7 5 9 7
      • eBook
        9 7 8 0 1 2 8 1 4 7 6 0 3
      Mathematical Physics with Partial Differential Equations, Second Edition, is designed for upper division undergraduate and beginning graduate students taking mathematical physics taught out by math departments. The new edition is based on the success of the first, with a continuing focus on clear presentation, detailed examples, mathematical rigor and a careful selection of topics. It presents the familiar classical topics and methods of mathematical physics with more extensive coverage of the three most important partial differential equations in the field of mathematical physics—the heat equation, the wave equation and Laplace’s equation. The book presents the most common techniques of solving these equations, and their derivations are developed in detail for a deeper understanding of mathematical applications. Unlike many physics-leaning mathematical physics books on the market, this work is heavily rooted in math, making the book more appealing for students wanting to progress in mathematical physics, with particularly deep coverage of Green’s functions, the Fourier transform, and the Laplace transform. A salient characteristic is the focus on fewer topics but at a far more rigorous level of detail than comparable undergraduate-facing textbooks. The depth of some of these topics, such as the Dirac-delta distribution, is not matched elsewhere. New features in this edition include: novel and illustrative examples from physics including the 1-dimensional quantum mechanical oscillator, the hydrogen atom and the rigid rotor model; chapter-length discussion of relevant functions, including the Hermite polynomials, Legendre polynomials, Laguerre polynomials and Bessel functions; and all-new focus on complex examples only solvable by multiple methods.

    • Ulam Stability of Operators

      • 1st Edition
      • January 4, 2018
      • Janusz Brzdek + 3 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 9 8 2 9 5
      • eBook
        9 7 8 0 1 2 8 0 9 8 3 0 1
      Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies, complements, generalizes, and updates key results. Whenever suitable, open problems are stated in corresponding areas. The book is of interest to researchers in operator theory, difference and functional equations and inequalities, differential and integral equations.

    • Reliability Modelling and Analysis in Discrete Time

      • 1st Edition
      • May 15, 2018
      • Unnikrishnan Nair + 2 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 1 9 1 3 9
      • eBook
        9 7 8 0 1 2 8 0 2 0 0 6 7
      Reliability Modelling and Analysis in Discrete Time provides an overview of the probabilistic and statistical aspects connected with discrete reliability systems. This engaging book discusses their distributional properties and dependence structures before exploring various orderings associated between different reliability structures. Though clear explanations, multiple examples, and exhaustive coverage of the basic and advanced topics of research in this area, the work gives the reader a thorough understanding of the theory and concepts associated with discrete models and reliability structures. A comprehensive bibliography assists readers who are interested in further research and understanding. Requiring only an introductory understanding of statistics, this book offers valuable insight and coverage for students and researchers in Probability and Statistics, Electrical Engineering, and Reliability/Quality Engineering. The book also includes a comprehensive bibliography to assist readers seeking to delve deeper.

    • Integrated Population Biology and Modeling, Part A

      • 1st Edition
      • Volume 39
      • September 26, 2018
      • English
      • Hardback
        9 7 8 0 4 4 4 6 4 0 7 2 7
      • eBook
        9 7 8 0 4 4 4 6 4 0 7 3 4
      Integrated Population Biology and Modeling: Part A offers very complex and precise realities of quantifying modern and traditional methods of understanding populations and population dynamics. Chapters cover emerging topics of note, including Longevity dynamics, Modeling human-environment interactions, Survival Probabilities from 5-Year Cumulative Life Table Survival Ratios (Tx+5/Tx): Some Innovative Methodological Investigations, Cell migration Models, Evolutionary Dynamics of Cancer Cells, an Integrated approach for modeling of coastal lagoons: A case for Chilka Lake, India, Population and metapopulation dynamics, Mortality analysis: measures and models, Stationary Population Models, Are there biological and social limits to human longevity?, Probability models in biology, Stochastic Models in Population Biology, and more.

    • Proper Orthogonal Decomposition Methods for Partial Differential Equations

      • 1st Edition
      • November 26, 2018
      • Zhendong Luo + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 6 7 9 8 4
      • eBook
        9 7 8 0 1 2 8 1 6 7 9 9 1
      Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load and alleviating the accumulation of truncation error in the computational process. Introduces the foundations of finite-differences, finite-elements and finite-volume-elemen... Models of time-dependent PDEs are presented, with detailed numerical procedures, implementation and error analysis. Output numerical data are plotted in graphics and compared using standard traditional methods. These models contain parabolic, hyperbolic and nonlinear systems of PDEs, suitable for the user to learn and adapt methods to their own R&D problems.

    • Introductory Differential Equations

      • 5th Edition
      • April 16, 2018
      • Martha L. Abell + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 4 9 4 8 5
      • eBook
        9 7 8 0 1 2 8 1 4 9 4 9 2
      Introductory Differential Equations, Fifth Edition provides accessible explanations and new, robust sample problems. This valuable resource is appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms), but is also ideal for a second course in Fourier series and boundary value problems, and for students with no background on the subject. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.

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