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Books in Mathematics general

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41-50 of 853 results in All results

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critically examining Cartan’s doctoral attempts to rigorously classify simple Lie algebras, including the use of many unpublished letters.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
  • Arni S.R. Srinivasa Rao + 2 more
  • 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).Although 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.

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.

Introduction to Nature-Inspired Optimization

  • 1st Edition
  • August 10, 2017
  • George Lindfield + 1 more
  • English
  • Paperback
    9 7 8 - 0 - 1 2 - 8 0 3 6 3 6 - 5
  • eBook
    9 7 8 - 0 - 1 2 - 8 0 3 6 6 6 - 2
Introduction to Nature-Inspired Optimization brings together many of the innovative mathematical methods for non-linear optimization that have their origins in the way various species behave in order to optimize their chances of survival. The book describes each method, examines their strengths and weaknesses, and where appropriate, provides the MATLAB code to give practical insight into the detailed structure of these methods and how they work. Nature-inspired algorithms emulate processes that are found in the natural world, spurring interest for optimization. Lindfield/Penny provide concise coverage to all the major algorithms, including genetic algorithms, artificial bee colony algorithms, ant colony optimization and the cuckoo search algorithm, among others. This book provides a quick reference to practicing engineers, researchers and graduate students who work in the field of optimization.

Fundamentals of Advanced Mathematics 1

  • 1st Edition
  • July 1, 2017
  • Henri Bourles
  • English
  • Hardback
    9 7 8 - 1 - 7 8 5 4 8 - 1 7 3 - 4
  • eBook
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This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients.

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.