Theta Foundation International Book Series of Mathematical Texts, Volume: 22
2018; 267 pp; Hardcover
MSC: Primary 00; 30; 42; 47;
Print ISBN: 978-606-8443-08-9
The volume contains the proceedings of an international conference in honor of Jean Esterle, held from June 1?4, 2015, in Bordeaux. Most of the papers present original work in harmonic analysis, function theory, operator theory, and their applications; others review known results and put them in a new perspective.
Among the subjects covered are: operators on spaces of holomorphic functions; Hankel and Toeplitz operators; Carleson measures for various spaces; spectral problems for differential operators; geometry of Banach spaces; linear dynamics; interpolation of functions; idempotents in Banach algebras; and magnetic distributions on thin plates.
Graduate students and research mathematicians interested in harmonic analysis, function theory, and operator theory.
Graduate Studies in Mathematics, Volume: 189
2018; 368 pp; Hardcover
MSC: Primary 20;
Print ISBN: 978-1-4704-3485-4
This book, which can be considered as a sequel of the author's famous book Character Theory of Finite Groups, concerns the character theory of finite solvable groups and other groups that have an abundance of normal subgroups.
It is subdivided into three parts: ππ -theory, character correspondences, and M-groups.
The π-theory section contains an exposition of D. Gajendragadkar's π-special characters, and it includes various extensions, generalizations, and applications of his work. The character correspondences section proves the McKay character counting conjecture and the Alperin weight conjecture for solvable groups, and it constructs a canonical McKay bijection for odd-order groups. In addition to a review of some basic material on M-groups, the third section contains an exposition of the use of symplectic modules for studying M-groups. In particular, an accessible presentation of E. C. Dade's deep results on monomial characters of odd prime-power degree is included.
Very little of this material has previously appeared in book form, and much of it is based on the author's research. By reading a clean and accessible presentation written by the leading expert in the field, researchers and graduate students will be inspired to learn and work in this area that has fascinated the author for decades.
Undergraduate and graduate students and researchers interested in solvable groups, character theory, and finite group theory.
Paperback ISBN: 9780128149485
Published Date: 16th April 2018
Page Count: 520
Introductory Differential Equations, Fifth Edition, provides accessible explanations and new, robust sample problems. This valuable resource is appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms) as well as a second course in Fourier series and boundary value problems, for students with no background in the subject. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.
Gives students a complete foundation on the subject, providing a strong basis for learning how to read technical material in more advanced texts
Includes new, comprehensive exercise sets throughout, ranging from straightforward to challenging
Offers applications and extended projects relevant to the real world through the use of examples in a broad range of contexts
Undergraduate students from a variety of majors, taking courses typically titled (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, Fourier Series and Boundary Value Problems
1. Introduction to Differential Equations
2. First-Order Equations
3. Applications of First-Order Differential Equations
4. Higher Order Equations
5. Applications of Higher Order Differential Equations
6. Systems of Differential Equations
7. Applications of Systems of Ordinary Differential Equations
8. Introduction to the Laplace Transform
Details
Paperback ISBN: 9780128046517
Published Date: 1st September 2018
Page Count: 400
Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more.
Complemented by a companion website that includes MATLAB codes that correspond to all examples
Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method
Includes an online instructor’s guide that helps professors teach and customize exercises and select homework problems
Covers updated information on adjoint methods that are presented in an accessible manner
Graduate and advanced undergraduate students taking courses in geophysical inverse problems. It is also used as a reference for geoscientists and researchers in academe and industry
1. Introduction
2. Linear Regression
3. Rank Deficiency and Ill-Conditioning
4. Tikhonov Regularization
5. Discretizing by Basis Functions
6. Iterative Methods of Solving Linear Problems
7. Additional Regularization Techniques
8. Fourier Techniques
9. Nonlinear Regression
10. Nonlinear Inverse Problems
11. Bayesian Methods
12 Adjoint Methods
Part of Cambridge Series in Statistical and Probabilistic Mathematics
Date Published: April 2018
availability: Available
format: Hardback
isbn: 9781107028289
All scientific disciplines prize predictive success. Conventional statistical analyses, however, treat prediction as secondary, instead focusing on modeling and hence estimation, testing, and detailed physical interpretation, tackling these tasks before the predictive adequacy of a model is established. This book outlines a fully predictive approach to statistical problems based on studying predictors; the approach does not require predictors correspond to a model although this important special case is included in the general approach. Throughout, the point is to examine predictive performance before considering conventional inference. These ideas are traced through five traditional subfields of statistics, helping readers to refocus and adopt a directly predictive outlook. The book also considers prediction via contemporary 'black box' techniques and emerging data types and methodologies where conventional modeling is so difficult that good prediction is the main criterion available for evaluating the performance of a statistical method. Well-documented open-source R code in a Github repository allows readers to replicate examples and apply techniques to other investigations.
Connects statistical theory directly to the goals of machine learning, data mining, and modern applied science
Positions statisticians to cope with emerging, non-traditional data types
Well-documented R code in a Github repository allows readers to replicate examples
Part I. The Predictive View:
1. Why prediction?
2. Defining a predictive paradigm
3. What about modeling?
4. Models and predictors: a bickering couple
Part II. Established Settings for Prediction:
5. Time series
6. Longitudinal data
7. Survival analysis
8. Nonparametric methods
9. Model selection
Part III. Contemporary Prediction:
10. Blackbox techniques
11. Ensemble methods
12. The future of prediction
References
Index.
Part of Cambridge Tracts in Mathematics
Publication planned for: September 2018
format: Hardback
isbn: 9781108429788
The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its application to a familiar example. The same method is then used to construct, among others, the octad graph, the Witt design and the Golay code. This book also provides a systematic account of 'small groups', and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic.
The author's intuitive approach helps the reader to fully understand the amalgam method
This geometric treatment will enable the reader to get to grips with the object as a whole
Serves as a reference for postgraduate students and researchers in group theory
1. The Mathieu group M24 as we knew it
2. Amalgam method
3. L4(2) in two incarnations and L3(4)
4. From L5(2) to the Mathieu amalgam
5. M24 as universal completion
6. Maximal subgroups
7. 45-representation of M24
8. The Held group
9. Inevitability of Mathieu groups
10. Locally projective graphs and amalgams
Index.