Hardback
Chapman and Hall/CRC
April 22, 2019 Forthcoming
Textbook - 335 Pages - 96 B/W Illustrations
ISBN 9780367222673 - CAT# K421453
Series: Textbooks in Mathematics
Complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for analysis and often yields pleasing and unanticipated answers. The purpose is to make complex analysis accessible to mathematics, engineering, and many other students. There are incisive applications throughout. Because complex analysis is a visual subject, the book has a large number of figures. One unifying theme is partial differential equations. The Cauchy-Riemann equations and the Laplacian have central roles in our exposition. Other differential equations?such as Euler’s equation?also make an appearance.
Basic Ideas
The Exponential and Applications
Holomorphic and Harmonic Functions
The Cauchy Theory
Applications of the Cauchy Theory
Isolated Singularities
Meromorphic functions
The calculus of Residues
The Argument Principle
The Maximum Principle
The Geometric Theory
Applications of Conformal Mapping
Harmonic Functions
The Fourier Theory
Other Transforms
Boundary Value Problems
Appendices
Glossary
List of Notation
Table of Laplace Transforms
A Guide to Literature
Index
Hardback
April 4, 2019 Forthcoming
Textbook - 450 Pages - 39 B/W Illustrations
ISBN 9780367201579 - CAT# K418481
Series: Textbooks in Mathematics
Mathematics is and can be creative. The author describes writing proofs as a creative process. He writes at length about the “intuitive” level of knowing a definition. The importance of definitions is reiterated multiple times in the book. The author’s urges students to work to define their mathematical voice. Proofs can be personalized. Both style tips and strict “mathematical do’s and don’ts” are pulled out and presented in “text-boxes” throughout the text. Common mistakes are discussed and reasoned throughout. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence.
Symbolic Logic
Sets
Introduction to Proofs
Mathematical Induction
Relations
Functions
Cardinality
Introduction to Topology
Properties of the Real Number System
Proof Writing Tips
Selected Solutions and Hints
Hardback
Chapman and Hall/CRC
May 9, 2019 Forthcoming
Reference - 288 Pages - 53 B/W Illustrations
ISBN 9781138591523 - CAT# K386869
This book will describe how to use models that explain the probabilistic characteristics of a time series while the Bayesian approach will provide inferences about those probabilistic characteristics.
1. Introduction. 2. Bayesian Inference : The prior, posterior and predictive distributions. 3. Plot Trends , Seasonal Variation and Decomposition of a Series. 4. Autocorrelation, Partial Correlation, and Cross Correlation. 5. Bayesian Data Analysis for Some Fundamental Time Series. 6. Bayesian Regression Analysis with Time Series Errors. 7. Bayesian Methods for Stationary Models 8. An Analysis for Non-Stationary Models. 9. Bayesian Spectrum Analysis. 10. System Identification from a Bayesian Perspective. 11. Multivariate Models. 12. Dynamic Linear Models for Time Series. 13. Bayesian Posterior Distributions for Non-Linear Models.14. Bilinear Models and Threshold Autoregressive Processes. 15. Miscellaneous Topics in Time Series.
Hardback
May 27, 2019 Forthcoming
Reference - 272 Pages - 28 B/W Illustrations
ISBN 9781138035362 - CAT# K31706
Robust statistical methods are particularly useful for obtaining good results from non-normally distributed data with outliers. This book is the second edition of a book focussed on applying robust statistical methods using R. It is a substantial update, with new chapters on multivariate models, large sample versus finite sample behavior, and measurement error models. The most significant update is that the computing component has been greatly improved with R code and examples now integrated throughout the book. The book is supplemented by a website with all code and data available.
Introduction
Mathematical tools of robustness
Characteristics of robustness
Estimation of real parameter
Linear model
Multivariate model
Large sample and finite sample behavior of robust estimators
Robust and nonparametric procedures in measurement error models
Appendix A
Bibliography, Subject Index, Author Index
Hardback
June 5, 2019 Forthcoming
Reference - 384 Pages - 14 B/W Illustrations
ISBN 9781138486416 - CAT# K349470
Series: CRC Press/Chapman and Hall Handbooks in Mathematics Series
This handbook concerns the subject of holomorphic function spaces and operators acting on them. Topics include Bergman spaces, Hardy spaces, Besov/Sobolev spaces, Fock spaces, and the space of Dirichlet series. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators
he Drury Arveson space and related operator theory. The Dirichlet space and related operator theory. Fock spaces and related operator theory. The Hardy space of the bi-disk and related operator theory. Toeplitz operators on the Bergman space. Hankel operators on the Bergman space. Bounded symmetric domains and Toeplitz operators. Composition operators. Operators in Cowen-Douglas classes. Invariant subspaces of the Bergman space. Mobius invariant Qp and Qk spaces. Spaces of Dirichlet series and related operator theory. The corona problem and related function/operator theory