Chapman and Hall/CRC * 2016 * 304 pages
Hardback: ￡44.99
978-1-49-870626-1
25th June 2016
This is a textbook for a course in sports science or sports analytics. The opening section is on standard mathematical sports examples which are physics-related, including projectile motion and rotational motion. A middle section introduces several rating systems. Many of these matrix-based systems were made famous by the soon-defunct college football BCS system. The final section of the book contains statistical analysis of sports, taking in Moneyball-like techniques. Game strategies and player evaluation are the main goals of these chapters.
Projectile Motion. Rotational Motion. Sports Illusions. Collisions. Rating Systems. Voting Systems. Saber- and Other Metrics. Randomness in Sports. In-Game Strategies. Predictive Analytics.
Series: Monographs and Research Notes in Mathematics
Hardback: ￡63.99
978-1-49-874644-1
14th June 2016
This proposed research monograph is, uniquely, devoted to a systematic presentation of several very recent results (and some of them appearing for the first time) referring to differential equations and inclusions subjected to nonlocal implicit initial conditions. The major themes of the book consist of a systematic study of the existence, regularity and continuous dependence on the data. The main abstract results are accompanied by illuminating examples describing the evolution of various phenomena; this points out the degree of generality of the developed theory and second, clarifes why the study of these rather abstract problems is needed in applications.
Motivation. Preliminaries. Delay Evolution Equations with Local Initial Conditions. Delay Evolution Equations with Nonlocal Initial Conditions. Almost Periodic Solutions. Evolution Systems with Nonlocal Initial Conditions. Delay Evolution Inclusions, Delay Evolution Inclusions, Revisited. Multivalued Reaction-Diffusion Systems. Viability for Nonlocal Evolution Inclusions.
Chapman and Hall/CRC * 2016 * 550 pages
Series: Monographs and Research Notes in Mathematics
Hardback:
978-1-48-224062-7
14th August 2016
It has become a well-known fact that most graph polynomials are related to the Tutte Polynomial in some way. In fact, that area of graph polynomials has grown to such an extent that it now has its own subject classification (05C31). This handbook is the first one published on the Tutte Polynomial which is a central, heavily-studied object in the field of combinatorics with applications in a wide range of other fields such as geometry, biology and physics.
Symbols. Chapter Format. Book Concepts. Basic Identities. Standard Specializations. Foundations of the Chromatic Polynomial. Recent Advances for the Chromatic Polynomial. Why Matroids. Tutte and Chromatic Uniqueness. Connections to Other Graph Polynomials. Oriented Graphs. The Tutte Polynomial of a Matroid Perspective. Topological Extensions of the Tutte Polynomial. Connections to Knot Theory. Multivariable Generalizations. The Interlace Connection. Non-Matroidal Generalizations. The Tutte-Potts Connection. The U, W, V Polynomials. Isotropic Systems. Zeros. Codes. Computational Complexity. Computational Techniques. Algorithms. Open Questions. A Brief History. Tutte's Original Papers. Resource List.
Chapman and Hall/CRC * 2016 * 250 pages
Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Hardback:
978-1-48-225657-4
14th August 2016
Though much has been written on multivariate failure time data analysis methods, a unified approach to this topic has yet to be communicated. This book aims to fill that gap through a novel focus on marginal hazard rates and cross ratio modeling. Readers will find the content useful for instruction, for application in collaborative research and as a source of novel research concepts. Many of the illustrations are from population disease studies which should interest epidemiologists and population scientists.
Introduction to Multivariate Failure Time Data. Bivariate Survivor Function Representation and Estimation. Regression Analysis of Bivariate Failure Time Data. Transformation Models, Frailties and Copulas for Bivariate Failure Time Regression. Regression Analysis of Higher Dimensional Failure Time Data. Recurrent Events and Life History Analysis. Missing and Mismeasured Data in Multivariate Failure Time Analysis. Other Failure Time Data Analysis Topics.
Chapman and Hall/CRC * 2016 * 350 pages
Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Hardback: ￡57.99
978-1-48-223806-8
30th August 2016
This book introduces the mathematical foundation of Bayesian statistics. It is well known that Bayesian inference is more accurate than the maximum likelihood method in many real-world problems: however, its mathematical foundations have been left unexplained. Recently, new research on Bayesian statistics uncovered the mathematical laws by which the behavior of Bayesian inference can be estimated and the advances of Bayes estimation have been clarified. This book introduces such mathematical foundations to students and researchers.
Chapman and Hall/CRC * 2016 * 450 pages
Series: Discrete Mathematics and Its Applications
Hardback:
978-1-49-875590-0
25th September 2016
This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.
The Alliance Polynomial of a Graph. Aspects of the Interlace Polynomial of a Graph. The clique-transversal set problem in clawfree graphs with degree at most 4. Permanental Polynomials of Graphs. Tutte polynomial and its generalizations. Graphs characterized by various polynomials. Recurrence relations of graph polynomials. Independence polynomials of k-tree related graphs. Generatingfunctionology for Graph Polynomials. Symmetric representations and the connection with linear recurrences. From the Ising and Potts model to the general graph homomorphism polynomial.