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

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.

Crystal Symmetries

1st Edition
Volume 17
July 26, 2017
B. K. Vainshtein + 1 more
English
eBook
9 7 8 1 4 8 3 2 9 9 1 0 5

Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a special place in this treatise. Structural aspects of phase transitions, correlation of structure and properties, polytypism, modulated structures, and other topics are discussed. Applications of important techniques, such as X-ray crystallography, biophysical studies, EPR spectroscopy, crystal optics, and nuclear solid state physics, are represented. Contains 30 research and review papers.

Analytical Methods for Glycerol

1st Edition
July 10, 2017
M. R. F. Ashworth
A. A. Newman
English
eBook
9 7 8 1 4 8 3 2 1 6 1 7 1

Analytical Methods for Glycerol covers the detection, identification, determination, and separation of glycerol in analytical procedures. The book discusses the chemical and physical information about glycerol; analytical work on the important naturally occurring and synthetic materials containing combined glycerol; and the analysis of glycerol samples, especially from the point of view of pharmacopoiea specifications. The text also describes the important methods for the enzymic determination of glycerol. Methods based on residual glycerol hydroxyl groups, methods based on the release of glycerol from its combined state in the sample, and methods based on probable participation of the complete molecules of the sample are also considered. Chemists and people involved in the study of analytical methods of glycerol will find the book invaluable.

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
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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-dynamic... 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.

Exterior Algebras

1st Edition
May 23, 2017
Vincent Pavan
English
Hardback
9 7 8 1 7 8 5 4 8 2 3 7 3
eBook
9 7 8 0 0 8 1 0 2 3 4 8 8

Exterior Algebras: Elementary Tribute to Grassmann's Ideas provides the theoretical basis for exterior computations. It first addresses the important question of constructing (pseudo)-Euclidian Grassmmann's algebras. Then, it shows how the latter can be used to treat a few basic, though significant, questions of linear algebra, such as co-linearity, determinant calculus, linear systems analyzing, volumes computations, invariant endomorphism considerations, skew-symmetric operator studies and decompositions, and Hodge conjugation, amongst others.

Mathematics Applied to Engineering

1st Edition
May 22, 2017
Mangey Ram + 1 more
English
Paperback
9 7 8 0 1 2 8 1 0 9 9 8 4
eBook
9 7 8 0 1 2 8 1 0 4 3 6 1

Mathematics Applied in Engineering presents a wide array of applied mathematical techniques for an equally wide range of engineering applications, covering areas such as acoustics, system engineering, optimization, mechanical engineering, and reliability engineering. Mathematics acts as a foundation for new advances, as engineering evolves and develops. This book will be of great interest to postgraduate and senior undergraduate students, and researchers, in engineering and mathematics, as well as to engineers, policy makers, and scientists involved in the application of mathematics in engineering.

Complementarity and Variational Inequalities in Electronics

1st Edition
May 18, 2017
Daniel Goeleven
English
Paperback
9 7 8 0 1 2 8 1 3 3 8 9 7
eBook
9 7 8 0 1 2 8 1 3 3 9 0 3

Complementarity and Variational Inequalities in Electronics evaluates the main mathematical models relevant to the study of electrical network problems involving devices. The book focuses on complementarity problems, variational inequalities and non-regular dynamical systems which are well-known for their applications in mechanics and economics, but rarely target electrical applications. The book uses these tools to review the qualitative properties of devices, including slicers, amplitude selectors, sampling gates, operational amplifiers, and four-diode bridge full-wave rectifiers. Users will find demonstrations on how to compute optimized output signal relevant to potentially superior applications. In addition, the book describes how to determine the stationary points of dynamical circuits and to determine the corresponding Lyapunov stability and attractivity properties, topics of major importance for further dynamical analysis and control. Hemivariational inequalities are also covered in some depth relevant to application in thyristor devices.

Related subjects

Mathematics and applied mathematics

Statistics and probability

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

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