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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

    • Algebraic and Combinatorial Computational Biology

      • 1st Edition
      • September 13, 2018
      • Raina Robeva + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 4 0 6 6 6
      • eBook
        9 7 8 0 1 2 8 1 4 0 6 9 7
      Algebraic and Combinatorial Computational Biology introduces students and researchers to a panorama of powerful and current methods for mathematical problem-solving in modern computational biology. Presented in a modular format, each topic introduces the biological foundations of the field, covers specialized mathematical theory, and concludes by highlighting connections with ongoing research, particularly open questions. The work addresses problems from gene regulation, neuroscience, phylogenetics, molecular networks, assembly and folding of biomolecular structures, and the use of clustering methods in biology. A number of these chapters are surveys of new topics that have not been previously compiled into one unified source. These topics were selected because they highlight the use of technique from algebra and combinatorics that are becoming mainstream in the life sciences.

    • 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.

    • Mathematica by Example

      • 5th Edition
      • January 24, 2017
      • Martha L. Abell + 1 more
      • English
      • Paperback
        9 7 8 0 1 2 8 1 2 4 8 1 9
      • eBook
        9 7 8 0 1 2 8 1 2 4 8 2 6
      Mathematica by Example, Fifth Edition is an essential desk reference for the beginning Mathematica user, providing step-by-step instructions on achieving results from this powerful software tool. The book fully accounts for the dramatic changes to functionality and visualization capabilities in the most recent version of Mathematica (10.4). It accommodates the full array of new extensions in the types of data and problems that Mathematica can immediately handle, including cloud services and systems, geographic and geometric computation, dynamic visualization, interactive applications and other improvements. It is an ideal text for scientific students, researchers and aspiring programmers seeking further understanding of Mathematica. Written by seasoned practitioners with a view to practical implementation and problem-solving, the book's pedagogy is delivered clearly and without jargon using representative biological, physical and engineering problems. Code is provided on an ancillary website to support the use of Mathematica across diverse applications.

    • Inequalities and Extremal Problems in Probability and Statistics

      • 1st Edition
      • May 8, 2017
      • Iosif Pinelis + 4 more
      • English
      • Paperback
        9 7 8 0 1 2 8 0 9 8 1 8 9
      • eBook
        9 7 8 0 1 2 8 0 9 8 9 2 9
      Inequalities and Extremal Problems in Probability and Statistics: Selected Topics presents various kinds of useful inequalities that are applicable in many areas of mathematics, the sciences, and engineering. The book enables the reader to grasp the importance of inequalities and how they relate to probability and statistics. This will be an extremely useful book for researchers and graduate students in probability, statistics, and econometrics, as well as specialists working across sciences, engineering, financial mathematics, insurance, and mathematical modeling of large risks.

    • Analytical Methods for Glycerol

      • 1st Edition
      • July 10, 2017
      • M. R. F. Ashworth
      • A. A. Newman
      • English
      • Paperback
        9 7 8 1 4 8 3 2 0 2 7 4 7
      • 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.

    • New Approaches of Protein Function Prediction from Protein Interaction Networks

      • 1st Edition
      • January 11, 2017
      • Jingyu Hou
      • English
      • Paperback
        9 7 8 0 1 2 8 0 9 8 1 4 1
      • eBook
        9 7 8 0 1 2 8 0 9 9 4 4 5
      New Approaches of Protein Function Prediction from Protein Interaction Networks contains the critical aspects of PPI network based protein function prediction, including semantically assessing the reliability of PPI data, measuring the functional similarity between proteins, dynamically selecting prediction domains, predicting functions, and establishing corresponding prediction frameworks. Functional annotation of proteins is vital to biological and clinical research and other applications due to the important roles proteins play in various biological processes. Although the functions of some proteins have been annotated via biological experiments, there are still many proteins whose functions are yet to be annotated due to the limitations of existing methods and the high cost of experiments. To overcome experimental limitations, this book helps users understand the computational approaches that have been rapidly developed for protein function prediction.

    • 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.

    • 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.

    • Survey Sampling Theory and Applications

      • 1st Edition
      • March 8, 2017
      • Raghunath Arnab
      • English
      • Paperback
        9 7 8 0 1 2 8 1 1 8 4 8 1
      • eBook
        9 7 8 0 1 2 8 1 1 8 9 7 9
      Survey Sampling Theory and Applications offers a comprehensive overview of survey sampling, including the basics of sampling theory and practice, as well as research-based topics and examples of emerging trends. The text is useful for basic and advanced survey sampling courses. Many other books available for graduate students do not contain material on recent developments in the area of survey sampling. The book covers a wide spectrum of topics on the subject, including repetitive sampling over two occasions with varying probabilities, ranked set sampling, Fays method for balanced repeated replications, mirror-match bootstrap, and controlled sampling procedures. Many topics discussed here are not available in other text books. In each section, theories are illustrated with numerical examples. At the end of each chapter theoretical as well as numerical exercises are given which can help graduate students.

    • 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.

Related subjects

Mathematics and applied mathematics

Statistics and probability