New books by subject
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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.

Alice and Bob meet Banach : the interface of asymptotic geometric analysis and quantum information theory / Guillaume Aubrun, Stanisław J. SzarekQA 360 A83 2017
The quest to build a quantum computer is arguably one of the major scientific and technological challenges of the twentyfirst century, and quantum information theory (QIT) provides the mathematical framework for that quest. Over the last dozen or so years, it has become clear that quantum information theory is closely linked to geometric functional analysis (Banach space theory, operator spaces, highdimensional probability), a field also known as asymptotic geometric analysis (AGA). In a nutshell, asymptotic geometric analysis investigates quantitative properties of convex sets, or other geometric structures, and their approximate symmetries as the dimension becomes large. This makes it especially relevant to quantum theory, where systems consisting of just a few particles naturally lead to models whose dimension is in the thousands, or even in the billions.
Alice and Bob Meet Banach is aimed at multiple audiences connected through their interest in the interface of QIT and AGA: at quantum information researchers who want to learn AGA or apply its tools; at mathematicians interested in learning QIT, especially the part that is relevant to functional analysis/convex geometry/random matrix theory and related areas; and at beginning researchers in either field. Moreover, this userfriendly book contains numerous tables and explicit estimates, with reasonable constants when possible, which make it a useful reference even for established mathematicians generally familiar with the subject. 
Groups, matrices, and vector spaces : a group theoretic approach to linear algebra / James B. CarrellQA174.2
To emphasize the importance of a foundation of knowledge in both geometry and algebra, this text includes an introduction to Euclidean Spaces, and a brief treatment of algebraic topics such as matrix algebra, linear systems, vector spaces, linear coding theory, determinants, eigentheory, group theory, ring theory, and field extensions, even covering an introduction to cryptography. 
Inverse modeling : an introduction to the theory and methods of inverse problems and data assimilation / Gen Nakamura and Roland PotthastQA 378.5 N355 2015ebThis book provides a comprehensive introduction to the techniques, tools and methods for inverse problems and data assimilation. Inverse problems are widespread today in science and technology, and this book is written at the interface between mathematics and applications, designed for students, researchers and developers in mathematics, physics, engineering, acoustics, electromagnetics, meteorology, biology, environmental and other applied sciences.
Basic analytic questions and tools are introduced, as well as a wide variety of concepts, methods and approaches to formulate and solve inverse problems, among others classical regularization and iterative methods, but also more recent approaches like sampling and probe methods, field reconstruction techniques in acoustics and electromagnetics and source reconstruction. In the framework of data assimilation, stochastic and deterministic methods are becoming more and more intertwined both variational and ensemble data assimilation methods are introduced, as well as stochastic and deterministic viewpoints and analysis. Applications range from neural kernel reconstruction to inverse acoustic and electromagnetic scattering and thermography, from magnetic tomography for fuel cells or in a medical environment to weather forecasting and earth science. OCTAVE /MATLAB codes are included, which serve as a first step towards simulations and more sophisticated inversion or data assimilation algorithms.
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Lectures on selected topics in mathematical physics : elliptic functions and elliptic integrals / William A. SchwalmQA 343 S355 2015eb
This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may not be the types of greatest interest currently, the fact that they are solvable exactly in terms of functions about which much is known makes up for this. The elliptic functions of Jacobi, or equivalently the Weierstrass elliptic functions, inhabit the literature on current problems in condensed matter and statistical physics, on solitons and conformal representations, and all sorts of famous problems in classical mechanics.The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical methods given to first and second year graduate students in physics and chemistry at the University of North Dakota. They are for graduate students or for researchers who want an elementary introduction to the subject that nevertheless leaves them with enough of the details to address real problems. The style is supposed to be informal. The intention is to introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This entre depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject that depend on some knowledge of complex variables. The first three lectures assume only calculus, including the chain rule and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a more complete study becomes possible. 
Partial dynamical systems, Fell bundles and applications / Ruy ExelQA 326 E94 2017
Partial dynamical systems, originally developed as a tool to study algebras of operators in Hilbert spaces, has recently become an important branch of algebra. Its most powerful results allow for understanding structural properties of algebras, both in the purely algebraic and in the C*contexts, in terms of the dynamical properties of certain systems which are often hiding behind algebraic structures. The first indication that the study of an algebra using partial dynamical systems may be helpful is the presence of a grading. While the usual theory of graded algebras often requires gradings to be saturated, the theory of partial dynamical systems is especially well suited to treat nonsaturated graded algebras which are in fact the source of the notion of ""partiality''. One of the main results of the book states that every graded algebra satisfying suitable conditions may be reconstructed from a partial dynamical system via a process called the partial crossed product.
Running in parallel with partial dynamical systems, partial representations of groups are also presented and studied in depth.
In addition to presenting main theoretical results, several specific examples are analyzed, including WienerHopf algebras and graph C*algebras. 
Regression discontinuity designs : theory and applications / edited by Matias D. Cattaneo, Juan Carlos EscancianoQA 278.2 R44 2017eb
The Regression Discontinuity (RD) design is one of the most popular and credible research designs for program evaluation and causal inference. This volume 38 of Advances in Econometrics collects twelve innovative and thoughtprovoking contributions to the RD literature, covering a wide range of methodological and practical topics. Some chapters touch on foundational methodological issues such as identification, interpretation, implementation, falsification testing, estimation and inference, while others focus on more recent and related topics such as identification and interpretation in a discontinuityindensity framework, empirical structural estimation, comparative RD methods, and extrapolation. These chapters not only give new insights for current methodological and empirical research, but also provide new bases and frameworks for future work in this area. This volume contributes to the rapidly expanding RD literature by bringing together theoretical and applied econometricians, statisticians, and social, behavioural and biomedical scientists, in the hope that these interactions will further spark innovative practical developments in this important and active research area. 
Game theory for data science : eliciting truthful information / Boi Faltings, Goran RadanovicQA 269 F254 2017Intelligent systems often depend on data provided by information agents, for example, sensor data or crowdsourced human computation. Providing accurate and relevant data requires costly effort that agents may not always be willing to provide. Thus, it becomes important not only to verify the correctness of data, but also to provide incentives so that agents that provide highquality data are rewarded while those that do not are discouraged by low rewards.
We cover different settings and the assumptions they admit, including sensing, human computation, peer grading, reviews, and predictions. We survey different incentive mechanisms, including proper scoring rules, prediction markets and peer prediction, Bayesian Truth Serum, Peer Truth Serum, Correlated Agreement, and the settings where each of them would be suitable. As an alternative, we also consider reputation mechanisms. We complement the gametheoretic analysis with practical examples of applications in prediction platforms, community sensing, and peer grading.

Computational Mathematics, Numerical Analysis and Applications Lecture Notes of the XVII 'JacquesLouis Lions' SpanishFrench School / Mariano Mateos, Pedro Alonso, editorsQA297The first part of this volume gathers the lecture notes of the courses of the "XVII Escuela HispanoFrancesa", held in Gij#65533;n, Spain, in June 2016. Each chapter is devoted to an advanced topic and presents stateoftheart research in a didactic and selfcontained way. Young researchers will find a complete guide to beginning advanced work in fields such as High Performance Computing, Numerical Linear Algebra, Optimal Control of Partial Differential Equations and Quantum Mechanics Simulation, while experts in these areas will find a comprehensive reference guide, including some previously unpublished results, and teachers may find these chapters useful as textbooks in graduate courses.
The second part features the extended abstracts of selected research work presented by the students during the School. It highlights new results and applications in Computational Algebra, Fluid Mechanics, Chemical Kinetics and Biomedicine, among others, offering interested researchers a convenient reference guide to these latest advances.