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.

Books Journals

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.

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.

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
9 7 8 0 0 8 1 0 2 1 1 2 5

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.

Biostatistics and Computer-based Analysis of Health Data Using SAS

1st Edition
June 22, 2017
Christophe Lalanne + 1 more
English
Hardback
9 7 8 1 7 8 5 4 8 1 1 1 6
eBook
9 7 8 0 0 8 1 0 1 1 7 1 3

This volume of the Biostatistics and Health Sciences Set focuses on statistics applied to clinical research.The use of SAS for data management and statistical modeling is illustrated using various examples. Many aspects of data processing and statistical analysis of cross-sectional and experimental medical data are covered, including regression models commonly found in medical statistics. This practical book is primarily intended for health researchers with a basic knowledge of statistical methodology. Assuming basic concepts, the authors focus on the practice of biostatistical methods essential to clinical research, epidemiology and analysis of biomedical data (including comparison of two groups, analysis of categorical data, ANOVA, linear and logistic regression, and survival analysis). The use of examples from clinical trials and epidemiological studies provide the basis for a series of practical exercises, which provide instruction and familiarize the reader with essential SAS commands.

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-dynamical 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.

Computational Methods and Production Engineering

1st Edition
May 25, 2017
J. Paulo Davim + 1 more
English
Hardback
9 7 8 0 8 5 7 0 9 4 8 1 0
eBook
9 7 8 0 8 5 7 0 9 4 8 2 7

Computational Methods and Production Engineering: Research and Development is an original book publishing refereed, high quality articles with a special emphasis on research and development in production engineering and production organization for modern industry. Innovation and the relationship between computational methods and production engineering are presented. Contents include: Finite Element method (FEM) modeling/simulation; Artificial neural networks (ANNs); Genetic algorithms; Evolutionary computation; Fuzzy logic; neuro-fuzzy systems; Particle swarm optimization (PSO); Tabu search and simulation annealing; and optimization techniques for complex systems. As computational methods currently have several applications, including modeling manufacturing processes, monitoring and control, parameters optimization and computer-aided process planning, this book is an ideal resource for practitioners.

Related subjects

Mathematics and applied mathematics

Statistics and probability

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health