New books by subject
Mathematics  Concordia University Libraries Recent Acquisitions
Titles in the call number range QA 1  QA 73, QA 90  QA 699 (Mathematics) that were added to the Concordia University Libraries collection in the last 60 days.

Empirical likelihood and quantile methods for time series : efficiency, robustness, optimality, and prediction / Yan Liu, Fumiya Akashi, Masanobu TaniguchiQA280
This book integrates the fundamentals of asymptotic theory of statistical inference for time series under nonstandard settings, e.g., infinite variance processes, not only from the point of view of efficiency but also from that of robustness and optimality by minimizing prediction error. This is the first book to consider the generalized empirical likelihood applied to time series models in frequency domain and also the estimation motivated by minimizing quantile prediction error without assumption of true model. It provides the reader with a new horizon for understanding the prediction problem that occurs in time series modeling and a contemporary approach of hypothesis testing by the generalized empirical likelihood method. Nonparametric aspects of the methods proposed in this book also satisfactorily address economic and financial problems without imposing redundantly strong restrictions on the model, which has been true until now. Dealing with infinite variance processes makes analysis of economic and financial data more accurate under the existing results from the demonstrative research. The scope of applications, however, is expected to apply to much broader academic fields. The methods are also sufficiently flexible in that they represent an advanced and unified development of prediction form including multiplepoint extrapolation, interpolation, and other incomplete past forecastings. Consequently, they lead readers to a good combination of efficient and robust estimate and test, and discriminate pivotal quantities contained in realistic time series models. 
Patently mathematical / Jeff SuzukiQA 41 .S9395 2019ebHow do dating sites match compatible partners? What do cell phones and sea coasts have in common? And why do computer scientists keep ant colonies? Jeff Suzuki answers these questions and more in Patently Mathematical , which explores the mathematics behind some of the key inventions that have changed our world.
In recent years, patents based on mathematics have been issued by the thousandsfrom search engines and image recognition technology to educational software and LEGO designs. Suzuki delves into the details of cuttingedge devices, programs, and products to show how even the simplest mathematical principles can be turned into patentable ideas worth billions of dollars. Readers will discover
* whether secure credit cards are really secure
* how improved data compression made streaming video services like Netflix a hit
* the mathematics behind selfcorrecting golf balls
* why Google is such an effective and popular search engine
* how eHarmony and Match.com find the perfect partner for those seeking a mate
* and much more!A gifted writer who combines quirky historical anecdotes with relatable, everyday examples, Suzuki makes math interesting for everyone who likes to ponder the world of numerical relationships.
Praise for Jeff Suzuki's Constitutional Calculus
"Presents an entertaining and insightful approach to the mathematics that underlies the American system of government. The book is neatly organized, breaking down the United States Constitution by article, section, and amendment. Within each piece, Suzuki reviews the mathematical principles that went into the underlying framework." Mathematical Reviews
"A breath of fresh air.... A reaffirmation that mathematics should be used more often to make general public policy." MAA Reviews

Partial differential equations in fluid mechanics / edited by Charles L. Fefferman, James C. Robinson, José L. RodrigoQA 374 P3484 2018eb
The Euler and NavierStokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cuttingedge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weakstrong uniqueness in fluid models and several chapters address the NavierStokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers. 
Loglinear models, extensions, and applications / edited by Aleksandr Aravkin [and six others]QA 278 L64 2018
Advances in training models with loglinear structures, with topics including variable selection, the geometry of neural nets, and applications.Loglinear models play a key role in modern big data and machine learning applications. From simple binary classification models through partition functions, conditional random fields, and neural nets, loglinear structure is closely related to performance in certain applications and influences fitting techniques used to train models. This volume covers recent advances in training models with loglinear structures, covering the underlying geometry, optimization techniques, and multiple applications. The first chapter shows readers the inner workings of machine learning, providing insights into the geometry of loglinear and neural net models. The other chapters range from introductory material to optimization techniques to involved use cases. The book, which grew out of a NIPS workshop, is suitable for graduate students doing research in machine learning, in particular deep learning, variable selection, and applications to speech recognition. The contributors come from academia and industry, allowing readers to view the field from both perspectives.
Contributors
Aleksandr Aravkin, Avishy Carmi, Guillermo A. Cecchi, Anna Choromanska, Li Deng, Xinwei Deng, Jean Honorio, Tony Jebara, Huijing Jiang, Dimitri Kanevsky, Brian Kingsbury, Fabrice Lambert, Aur lie C. Lozano, Daniel Moskovich, Yuriy S. Polyakov, Bhuvana Ramabhadran, Irina Rish, Dimitris Samaras, Tara N. Sainath, Hagen Soltau, Serge F. Timashev, Ewout van den Berg 
How to develop confident mathematicians in the early years : a guide for practitioners and parents / Tony CottonQA 135.6 C6745 2019ebShowing how everyday experiences can be used to encourage early mathematical thinking, this book will help you to confidently support young children's mathematical development through play.
Developing Confident Mathematicians in the Early Years clearly explains the stages of mathematical development from birth to five years. It considers how practitioners and parents can create a mathematically rich environment and then offers a wealth of practical activities and suggestions for adultchild interactions to enhance children's mathematical learning. Features include:
60 activities each covering a core area of mathematical experience  measurement, algebra, data handling, counting and calculation. clear explanations of the mathematics taking place in each activity and how this forms the foundation for mathematical learning in the future. practical suggestions for home learning and working in partnership with parents. links to the EYFS and National Curriculum.Offering a rich source of ideas using everyday resources, this practical text will inspire practitioners and parents to nurture young children's innate confidence and ability in mathematics.

The block theory of finite group algebras. Markus LinckelmannQA 174.2 L56 2018eb
This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete plocal rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory. 
The block theory of finite group algebras. Markus LinckelmannQA 174.2 L56 2018eb
This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete plocal rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory. 
The Mathieu groups / A.A. Ivanov, Imperial College London and Institute for System Analysis, FRC, CSC, RASQA 171 I93 2018eb
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. 
Ramsey theory : unsolved problems and results / Xiaodong Xu, Meilian Liang, Haipeng LuoQA 166 X865 2018ebKey problems and conjectures have played an important role in promoting the development of Ramsey theory, a field where great progress has been made during the past two decades, with some old problems solved and many new problems proposed. The present book will be helpful to readers who wish to learn about interesting problems in Ramsey theory, to see how they are interconnected, and then to study them in depth. This book is the first problem book of such scope in Ramsey theory. Many unsolved problems, conjectures and related partial results in Ramsey theory are presented, in areas such as extremal graph theory, additive number theory, discrete geometry, functional analysis, algorithm design, and in other areas. Most presented problems are easy to understand, but they may be difficult to solve. They can be appreciated on many levels and by a wide readership, ranging from undergraduate students majoring in mathematics to research mathematicians. This collection is an essential reference for mathematicians working in combinatorics and number theory, as well as for computer scientists studying algorithms.
Contents
Some definitions and notations
Ramsey theory
Bicolor diagonal classical Ramsey numbers
Paley graphs and lower bounds for R(k, k)
Bicolor offdiagonal classical Ramsey numbers
Multicolor classical Ramsey numbers
Generalized Ramsey numbers
Folkman numbers
The ErdősHajnal conjecture
Other Ramseytype problems in graph theory
On van der Waerden numbers and Szemeredi's theorem
More problems of Ramsey type in additive number theory
SidonRamsey numbers
Games in Ramsey theory
Local Ramsey theory
Setcoloring Ramsey theoryOther problems and conjectures

Robust nonlinear regression : with applications using R / Hossein Riazoshams, Habshah Midi, Gebrenegus GhilagaberQA 278.2 R48 2019The first book to discuss robust aspects of nonlinear regressionwith applications using R software
Robust Nonlinear Regression: with Applications using R covers a variety of theories and applications of nonlinear robust regression. It discusses both parts of the classic and robust aspects of nonlinear regression and focuses on outlier effects. It develops new methods in robust nonlinear regression and implements a set of objects and functions in Slanguage under SPLUS and R software. The software covers a wide range of robust nonlinear fitting and inferences, and is designed to provide facilities for computer users to define their own nonlinear models as an object, and fit models using classic and robust methods as well as detect outliers. The implemented objects and functions can be applied by practitioners as well as researchers.
The book offers comprehensive coverage of the subject in 9 chapters: Theories of Nonlinear Regression and Inference; Introduction to R; Optimization; Theories of Robust Nonlinear Methods; Robust and Classical Nonlinear Regression with Autocorrelated and Heteroscedastic errors; Outlier Detection; R Packages in Nonlinear Regression; A New R Package in Robust Nonlinear Regression; and Object Sets.
The first comprehensive coverage of this field covers a variety of both theoretical and applied topics surrounding robust nonlinear regression Addresses some commonly mishandled aspects of modeling R packages for both classical and robust nonlinear regression are presented in detail in the book and on an accompanying website Robust Nonlinear Regression: with Applications using R is an ideal text for statisticians, biostatisticians, and statistical consultants, as well as advanced level students of statistics. 
Monoidal categories and topological field theory / Vladimir Turaev, Alexis VirelizierQA 169 T87 2017ebThis monograph is devoted to monoidal categories and their connections with 3dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research.
Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of Müger on the center of a pivotal fusion category. These theorems are proved in Part 2 using the theory of Hopf monads. In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a TuraevVirotype 3dimensional state sum TQFT from a spherical fusion category. Lastly, in Part 4 this construction is extended to 3manifolds with colored ribbon graphs, yielding a socalled graph TQFT (and, consequently, a 321 extended TQFT). The authors then prove the main result of the monograph: the state sum graph TQFT derived from any spherical fusion category is isomorphic to the ReshetikhinTuraev surgery graph TQFT derived from the center of that category.The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads.