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.

Mathematical statistics : essays on history and methodology / Johann PfanzaglQA276.15In the middle of the last century the development of mathematical statistics underwent an enduring change, due to the use of more refined mathematical tools.
New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their realworld relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, as a meaningful concept of optimality (based on regularity of the estimators, the representation of their limit distribution and assertions about their concentration by means of Anderson's Theorem) was not yet available.
The rapidly developing asymptotic theory provided approximate answers to questions for which nonasymptotic theory had found no satisfying solutions.
In four engaging essays, Pfanzagl's book presents a detailed description of how the use of mathematical methods stimulated the development of a statistical theory.
A book on the history of mathematical statistics would offer a description of who did what and when. Pfanzagl's book, centred on questions of methodology, points to missed opportunities, questionable proofs, neglected questions of priority, and to the presence of such deficiencies even in recent textbooks.

Numerical models for differential problems / Alfio QuarteroniQA 377 Q83 2017eb
In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and NavierStokes equations, as well as equations representing conservation laws, saddlepoint problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easytouse programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extraacademic domain who want to approach this interesting branch of applied mathematics. 
Kolmogorov complexity and algorithmic randomness / A. Shen, V.A. Uspensky, N. VereshchaginQA 267.7 S52413 2017
Looking at a sequence of zeros and ones, we often feel that it is not random, that is, it is not plausible as an outcome of fair coin tossing. Why? The answer is provided by algorithmic information theory: because the sequence is compressible, that is, it has small complexity or, equivalently, can be produced by a short program. This idea, going back to Solomonoff, Kolmogorov, Chaitin, Levin, and others, is now the starting point of algorithmic information theory.
The first part of this book is a textbookstyle exposition of the basic notions of complexity and randomness; the second part covers some recent work done by participants of the ``Kolmogorov seminar'' in Moscow (started by Kolmogorov himself in the 1980s) and their colleagues. This book contains numerous exercises (embedded in the text) that will help readers to grasp the material. 
Single variable calculus / James StewartQA 303.2 S75 2016b
Success in your calculus course starts here! James Stewart's CALCULUS texts are worldwide bestsellers for a reason: they are clear, accurate, and filled with relevant, realworld examples. With SINGLE VARIABLE CALCULUS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and builtin learning aids will help you build your mathematical confidence and achieve your goals in the course. 
An introduction to modern nonparametric statistics / James J. HigginsQA 278.8 H54 2004
Guided by problems that frequently arise in actual practice, James Higgins' book presents a wide array of nonparametric methods of data analysis that researchers will find useful. It discusses a variety of nonparametric methods and, wherever possible, stresses the connection between methods. For instance, rank tests are introduced as special cases of permutation tests applied to ranks. The author provides coverage of topics not often found in nonparametric textbooks, including procedures for multivariate data, multiple regression, multifactor analysis of variance, survival data, and curve smoothing. This truly modern approach teaches nonmajors how to analyze and interpret data with nonparametric procedures using today's computing technology. 
Probability : a lively introduction / Henk TijmsQA 273.2 T55 2018
Probability has applications in many areas of modern science, not to mention in our daily life. Its importance as a mathematical discipline cannot be overrated, and it is a fascinating and surprising topic in its own right. This engaging textbook with its easytofollow writing style provides a comprehensive, yet concise introduction to the subject. It covers all of the standard material for undergraduate and firstyeargraduatelevel courses as well as many topics that are usually not found in standard text  such as Bayesian inference, Markov chain Monte Carlo simulation, and Chernoff bounds. 
Period mappings and period domains / James Carlson, University of Utah ; Stefan MüllerStach, Johannes Gutenberg Universität, Mainz, Germany ; Chris Peters, Université Grenoble Alpes, FranceQA 564 C28 2017
This uptodate introduction to Griffiths' theory of period maps and period domains focusses on algebraic, grouptheoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higherdimensional algebraic varieties such as the NoetherLefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelovtype theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Khler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the grouptheoretic approach to Hodge structures is explained, leading to MumfordTate groups and their associated domains, the MumfordTate varieties and generalizations of Shimura varieties. 
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. 
Elementary differential geometry / Andrew PressleyQA 641 P68 2012Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum  nothing beyond first courses in linear algebra and multivariable calculus  and the most direct and straightforward approach is used throughout.
New features of this revised and expanded second edition include:
a chapter on nonEuclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com ul