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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

    • Disease Modelling and Public Health, Part B

      • 1st Edition
      • Volume 37
      • October 31, 2017
      • English
      • Hardback
        9 7 8 0 4 4 4 6 3 9 7 5 2
      • eBook
        9 7 8 0 4 4 4 6 3 9 7 6 9
      Handbook of Statistics: Disease Modelling and Public Health, Part B, Volume 37 addresses new challenges in existing and emerging diseases. As a two part volume, this title covers an extensive range of techniques in the field, with this book including chapters on Reaction diffusion equations and their application on bacterial communication, Spike and slab methods in disease modeling, Mathematical modeling of mass screening and parameter estimation, Individual-based and agent-based models for infectious disease transmission and evolution: an overview, and a section on Visual Clustering of Static and Dynamic High Dimensional Data. This volume covers the lack of availability of complete data relating to disease symptoms and disease epidemiology, one of the biggest challenges facing vaccine developers, public health planners, epidemiologists and health sector researchers.

    • Writing Small Omegas

      • 1st Edition
      • October 24, 2017
      • Alberto Cogliati
      • English
      • Paperback
        9 7 8 0 1 2 8 1 4 2 4 4 8
      • eBook
        9 7 8 0 1 2 8 1 4 2 7 4 5
      Writing Small Omegas: Elie Cartan's Contributions to the Theory of Continuous Groups 1894-1926 provides a general account of Lie’s theory of finite continuous groups, critically examining Cartan’s doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters. It evaluates pioneering attempts to generalize Lie's classical ideas to the infinite-dimensional case in the works of Lie, Engel, Medolaghi and Vessiot. Within this context, Cartan’s groundbreaking contributions in continuous group theory, particularly in his characteristic and unique recourse to exterior differential calculus, are introduced and discussed at length. The work concludes by discussing Cartan’s contributions to the structural theory of infinite continuous groups, his method of moving frames, and the genesis of his geometrical theory of Lie groups.

    • Maximum Principles for the Hill's Equation

      • 1st Edition
      • October 19, 2017
      • Alberto Cabada + 2 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 4 1 1 7 8
      • eBook
        9 7 8 0 1 2 8 0 4 1 2 6 0
      Maximum Principles for the Hill's Equation focuses on the application of these methods to nonlinear equations with singularities (e.g. Brillouin-bem focusing equation, Ermakov-Pinney,…) and for problems with parametric dependence. The authors discuss the properties of the related Green’s functions coupled with different boundary value conditions. In addition, they establish the equations’ relationship with the spectral theory developed for the homogeneous case, and discuss stability and constant sign solutions. Finally, reviews of present classical and recent results made by the authors and by other key authors are included.

    • Disease Modelling and Public Health, Part A

      • 1st Edition
      • Volume 36
      • October 13, 2017
      • English
      • Hardback
        9 7 8 0 4 4 4 6 3 9 6 8 4
      • eBook
        9 7 8 0 4 4 4 6 3 9 6 9 1
      Disease Modelling and Public Health, Part A, Volume 36 addresses new challenges in existing and emerging diseases with a variety of comprehensive chapters that cover Infectious Disease Modeling, Bayesian Disease Mapping for Public Health, Real time estimation of the case fatality ratio and risk factor of death, Alternative Sampling Designs for Time-To-Event Data with Applications to Biomarker Discovery in Alzheimer's Disease, Dynamic risk prediction for cardiovascular disease: An illustration using the ARIC Study, Theoretical advances in type 2 diabetes, Finite Mixture Models in Biostatistics, and Models of Individual and Collective Behavior for Public Health Epidemiology. As a two part volume, the series covers an extensive range of techniques in the field. It present a vital resource for statisticians who need to access a number of different methods for assessing epidemic spread in population, or in formulating public health policy.

    • Fractional Operators with Constant and Variable Order with Application to Geo-hydrology

      • 1st Edition
      • September 19, 2017
      • Abdon Atangana
      • English
      • Paperback
        9 7 8 0 1 2 8 0 9 6 7 0 3
      • eBook
        9 7 8 0 1 2 8 0 9 7 9 6 0
      Fractional Operators with Constant and Variable Order with Application to Geo-hydrology provides a physical review of fractional operators, fractional variable order operators, and uncertain derivatives to groundwater flow and environmental remediation. It presents a formal set of mathematical equations for the description of groundwater flow and pollution problems using the concept of non-integer order derivative. Both advantages and disadvantages of models with fractional operators are discussed. Based on the author’s analyses, the book proposes new techniques for groundwater remediation, including guidelines on how chemical companies can be positioned in any city to avoid groundwater pollution.

    • Means in Mathematical Analysis

      • 1st Edition
      • September 14, 2017
      • Gheorghe Toader + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 1 0 8 0 5
      • eBook
        9 7 8 0 1 2 8 1 1 0 8 1 2
      Means in Mathematical Analysis addresses developments in global analysis, non-linear analysis, and the many problems of associated fields, including dynamical systems, ergodic theory, combinatorics, differential equations, approximation theory, analytic inequalities, functional equations and probability theory. The series comprises highly specialized research monographs written by eminent scientists, handbooks and selected multi-contributor reference works (edited volumes), bringing together an extensive body of information. It deals with the fundamental interplay of nonlinear analysis with other headline domains, particularly geometry and analytic number theory, within the mathematical sciences.

    • Galois Fields and Galois Rings Made Easy

      • 1st Edition
      • September 12, 2017
      • Maurice Kibler
      • English
      • Hardback
        9 7 8 1 7 8 5 4 8 2 3 5 9
      • eBook
        9 7 8 0 0 8 1 0 2 3 5 1 8
      This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their application to the theory of quantum information, a field at the crossroads of quantum physics, discrete mathematics and informatics.The existing literature on rings and fields is primarily mathematical. There are a great number of excellent books on the theory of rings and fields written by and for mathematicians, but these can be difficult for physicists and chemists to access.This book offers an introduction to rings and fields with numerous examples. It contains an application to the construction of mutually unbiased bases of pivotal importance in quantum information. It is intended for graduate and undergraduate students and researchers in physics, mathematical physics and quantum chemistry (especially in the domains of advanced quantum mechanics, quantum optics, quantum information theory, classical and quantum computing, and computer engineering).Althoug... the book is not written for mathematicians, given the large number of examples discussed, it may also be of interest to undergraduate students in mathematics.

    • Computational Analysis of Structured Media

      • 1st Edition
      • September 11, 2017
      • Simon Gluzman + 2 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 1 0 4 6 1
      • eBook
        9 7 8 0 1 2 8 1 1 0 4 7 8
      Computational Analysis of Structured Media presents a systematical approach to analytical formulae for the effective properties of deterministic and random composites. Schwarz’s method and functional equations yield for use in symbolic-numeric computations relevant to the effective properties. The work is primarily concerned with constructive topics of boundary value problems, complex analysis, and their applications to composites. Symbolic-numerical computations are widely used to deduce new formulae interesting for applied mathematicians and engineers. The main line of presentation is the investigation of two-phase 2D composites with non-overlapping inclusions randomly embedded in matrices.

    • Portfolio Diversification

      • 1st Edition
      • September 1, 2017
      • Francois-Serge Lhabitant
      • English
      • Hardback
        9 7 8 1 7 8 5 4 8 1 9 1 8
      • eBook
        9 7 8 0 0 8 1 0 1 7 8 6 9
      Portfolio Diversification provides an update on the practice of combining several risky investments in a portfolio with the goal of reducing the portfolio's overall risk. In this book, readers will find a comprehensive introduction and analysis of various dimensions of portfolio diversification (assets, maturities, industries, countries, etc.), along with time diversification strategies (long term vs. short term diversification) and diversification using other risk measures than variance. Several tools to quantify and implement optimal diversification are discussed and illustrated.

    • Inference for Heavy-Tailed Data

      • 1st Edition
      • August 11, 2017
      • Liang Peng + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 4 6 7 6 0
      • eBook
        9 7 8 0 1 2 8 0 4 7 5 0 7
      Heavy tailed data appears frequently in social science, internet traffic, insurance and finance. Statistical inference has been studied for many years, which includes recent bias-reduction estimation for tail index and high quantiles with applications in risk management, empirical likelihood based interval estimation for tail index and high quantiles, hypothesis tests for heavy tails, the choice of sample fraction in tail index and high quantile inference. These results for independent data, dependent data, linear time series and nonlinear time series are scattered in different statistics journals. Inference for Heavy-Tailed Data Analysis puts these methods into a single place with a clear picture on learning and using these techniques.

Related subjects

Mathematics and applied mathematics

Statistics and probability