Contemporary Mathematics, Volume: 729
2019; 268 pp; Softcover
MSC: Primary 55; 18; 54;
Print ISBN: 978-1-4704-4244-6
This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 17?21, 2017, at the University of Illinois at Urbana-Champaign, Urbana, IL.
The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy, different aspects of equivariant homotopy theory and KK-theory, as well as articles concerned with structured ring spectra, cyclotomic spectra associated to perfectoid fields, and the theory of higher homotopy operations.
Graduate students and research mathematicians interested in homotopy theory.
Part of Cambridge Texts in Applied Mathematics
PUBLICATION PLANNED FOR: November 2019
AVAILABILITY: Not yet published - available from November 2019
FORMAT: HardbackISBN: 9781108498128
FORMAT: PaperbackISBN: 9781108703000
This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecular dynamics, Brownian dynamics, velocity jump processes and compartment-based (lattice-based) models.
1. Stochastic simulation of chemical reactions
2. Deterministic versus stochastic modelling
3. Stochastic differential equations
4. Diffusion
5. Efficient stochastic modelling of chemical reactions
6. Stochastic reaction-diffusion models
7. SSAs for reaction-diffusion-advection processes
8. Microscopic models of Brownian motion
9. Multiscale and multi-resolution methods
Appendix
References
Index.
Paperback
Hardback
Published March 26, 2019
Reference - 102 Pages - 292 B/W Illustrations
ISBN 9780367180270 - CAT# K416140
The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step fashion, followed by some beautiful artwork examples. A commentary explaining the theory behind the technique is placed at the end of each chapter.
Explains the techniques for designing curved-folding origami in seven chapters
Contains many illustrations and photos (over 140 figures), with simple instructions
Contains photos of 24 beautiful origami artworks, as well as their crease patterns
Some basic theories behind the techniques are introduced
Prologue
Chapter 1 Fold a Curve
Chapter 2 Aligning Curves
Chapter 3 Aligning Rotated Curves
Chapter 4 Tucking
Chapter 5 Folding Cones
Chapter 6 Folding Back at Straight Line
Chapter 7 Other Techniques
Afterword
Paperback
Hardback
Published May 8, 2019
Textbook - 398 Pages - 85 B/W Illustrations
ISBN 9781138066137 - CAT# K33418
Paperback ISBN 9781498795630
Series: Chapman & Hall/CRC Texts in Statistical Science
This new edition of this classic title, now in its seventh edition, presents a balanced and comprehensive introduction to the theory, implementation, and practice of time series analysis. The book covers a wide range of topics, including ARIMA models, forecasting methods, spectral analysis, linear systems, state-space models, the Kalman filters, nonlinear models, volatility models, and multivariate models. It also presents many examples and implementations of time series models and methods to reflect advances in the field.
A new chapter on univariate volatility models
A revised chapter on linear time series models
A new section on multivariate volatility models
A new section on regime switching models
Many new worked examples, with R code integrated into the text
The book can be used as a textbook for an undergraduate or a graduate level time series course in statistics. The book does not assume many prerequisites in probability and statistics, so it is also intended for students and data analysts in engineering, economics, and finance.
Introduction
Basic Descriptive Techniques
Some Linear Time Series Models
Fitting Time Series Models in the Time Domain
Forecasting
Stationary Processes in the Frequency Domain
Spectral Analysis
Bivariate Processes
Linear Systems
State-Space Models and the Kalman Filter
Non-Linear Models
Volatility Models
Multivariate Time Series Modelling
Some More Advanced Topics
Appendix A Fourier, Laplace, and z-Transforms
Appendix B Dirac Delta Function
Appendix C Covariance and Correlation
Answers to Exercises
Hardback
Chapman and Hall/CRC
Published May 21, 2019
Textbook - 259 Pages
ISBN 9780367221096 - CAT# K421312
The goals of this text are to develop the skills and an appreciation for the richness and versatility of modern time series analysis as a tool for analyzing dependent data. A useful feature of the presentation is the inclusion of nontrivial data sets illustrating the richness of potential applications to problems in the biological, physical, and social sciences as well as medicine. The text presents a balanced and comprehensive treatment of both time and frequency domain methods with an emphasis on data analysis.
Numerous examples using data illustrate solutions to problems such as discovering natural and anthropogenic climate change, evaluating pain perception experiments using functional magnetic resonance imaging, and the analysis of economic and financial problems. The text can be used for a one semester/quarter introductory time series course where the prerequisites are an understanding of linear regression, basic calculus-based probability skills, and math skills at the high school level. All of the numerical examples use the R statistical package without assuming that the reader has previously used the software.
Hardback
August 15, 2019 Forthcoming
Reference - 160 Pages - 10 B/W Illustrations
ISBN 9780367337100 - CAT# 319585
The main aim of this book is to present several results related to functions of unitary operators on complex Hilbert spaces obtained, by the author in a sequence of recent research papers. The fundamental tools to obtain these results are provided by some new Riemann-Stieltjes integral inequalities of continuous integrands on the complex unit circle and integrators of bounded variation.
All the results presented are completely proved and the original references where they have been firstly obtained are mentioned
Intended for use by both researchers in various fields of Linear Operator Theory and Mathematical Inequalities, as well as by postgraduate students and scientists applying inequalities in their specific areas
Provides new emphasis to mathematical inequalities, approximation theory and numerical analysis in a simple, friendly and well-digested manner.
Silvestru Sever Dragomir is Professor and Chair of Mathematical Inequalities at the College of Engineering & Science, Victoria University, Melbourne, Australia. He is the author of many research papers and several books on Mathematical Inequalities and their Applications. He also chairs the international Research Group in Mathematical Inequalities and Applications (RGMIA). For details, see https://rgmia.org/index.php.
1 Introduction
2 Ostrowski Type Inequalities
3 Trapezoid Type Inequalities
4 Generalized Trapezoid Inequalities
5 Quasi Gruss Type Inequalities
6 Gruss Type Inequalities
7 Inequalities for Bounded Functions.