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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 correspondences and critical editions / Maria Teresa Borgato, Erwin Neuenschwander, Irène Passeron, editors
    QA21

  • Nonparametric Statistics : 3rd ISNPS, Avignon, France, June 2016 / Patrice Bertail, Delphine Blanke, Pierre-André Cornillon, Eric Matzner-Løber, editors
    QA 278.8 C64 2016eb

  • The Gröbner cover / Antonio Montes
    QA251.3

  • Inclusive Mathematics Education : State-of-the-Art Research from Brazil and Germany / editors, David Kollosche [and 4 others]
    QA14.B6

  • The econometric analysis of non-stationary spatial panel data / Michael Beenstock, Daniel Felsenstein
    QA280

  • Making sense of number, K-10 : getting to know your students so you can support the development of their mathematical understanding / Mary Fiore, Ryan Tackaberry
    QA 11.2 F56 2018eb

  • Real and complex analysis / Walter Rudin
    QA 300 R82 1987
    This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject.

    This text is part of the Walter Rudin Student Series in Advanced Mathematics.


  • Applying partial least squares in tourism and hospitality research / edited by Faizan Ali, S. Mostafa Rasoolimanesh and Cihan Cobanoglu
    QA 275 A67 2018eb
    Partial-least-squares path modeling (PLS-PM), a composite-based form of structural equation modeling (SEM), offers great practical advantages to researchers and practitioners. It has been gaining increasing attention in various disciplines, including management information systems, marketing, strategic management, accounting, family business research, operations management, and organizational research. Yet advanced PLS-SEM techniques are not broadly used in hospitality and tourism research, which spells missed opportunities in terms of detailed analyses and actionable findings.
    Applying Partial Least Squares in Tourism and Hospitality Research provides a forum for leading names in the field to discuss the major topical issues and to demonstrate the usefulness of PLS path modeling for academics and practitioners in hospitality and tourism. Its ten chapters discuss key aspects of advanced PLS analysis and its practical applications, covering new guidelines and improvements in the use of PLS-PM as well as individual topics such as multi-group analysis (PLS-MGA), the predictive qualities of PLS models, minimum sample size estimation methods, the reporting of mediation and moderation analysis, the assessment of the reliability of reflectively measured constructs, and the assessment of overall model fit through consistent PLS and the bootstrap-based test. This comprehensive coverage serves both as an introduction to PLS for the uninitiated and as a go-to reference work for researchers and practitioners interested in the most recent advances in PLS methodology.
    Applying Partial Least Squares in Tourism and Hospitality Research is a must-read for academics in hospitality and tourism research and for hospitality and tourism practitioners such as industry consultants. Insofar as it can serve as a guidebook to recent advances within PLS-SEM, it is also of interest to researchers from other disciplines including management, business, and marketing.

  • Interdisciplinary mathematics education : the state of the art and beyond / Brian Doig [and 4 others], editors
    QA12 .I58 2019eb

  • Traditions in German-speaking mathematics education research / Hans Niels Jahnke, Lisa Hefendehl-Hebeker, editors
    QA14.G3 T73 2019eb

  • European traditions in didactics of mathematics / Werner Blum, Michèle Artigue, Maria Alessandra Mariotti, Rudolf Straßer, Marja Van den Heuvel-Panhuizen, editors
    QA11

  • Mathematical problem solving : current themes, trends and research / Peter Liljedahl, Manuel Santos-Trigo, editors
    QA63 .M38 2019eb

  • Mathematics education in Singapore / editors, Tin Lam Toh, Berinderjeet Kaur and Eng Guan Tay
    QA14.S55

  • Connecting humans to equations : a reinterpretation of the philosophy of mathematics
    QA8.4

  • A concise introduction to measure theory / Satish Shirali
    QA312

  • Periodic character and patterns of recursive sequences / Michael A. Radin
    QA246.5

  • Numerical Fourier analysis / Gerlind Plonka, Daniel Potts, Gabriele Steidl, Manfred Tasche
    QA 403.5 P56 2018eb

  • Longitudinal data analysis : autoregressive linear mixed effects models / Ikuko Funatogawa, Takashi Funatogawa
    QA278
    This book provides a new analytical approach for dynamic data repeatedly measured from multiple subjects over time. Random effects account for differences across subjects. Auto-regression in response itself is often used in time series analysis. In longitudinal data analysis, a static mixed effects model is changed into a dynamic one by the introduction of the auto-regression term. Response levels in this model gradually move toward an asymptote or equilibrium which depends on covariates and random effects. The book provides relationships of the autoregressive linear mixed effects models with linear mixed effects models, marginal models, transition models, nonlinear mixed effects models, growth curves, differential equations, and state space representation. State space representation with a modified Kalman filter provides log likelihoods for maximum likelihood estimation, and this representation is suitable for unequally spaced longitudinal data. The extension to multivariate longitudinal data analysis is also provided. Topics in medical fields, such as response-dependent dose modifications, response-dependent dropouts, and randomized controlled trials are discussed. The text is written in plain terms understandable for researchers in other disciplines such as econometrics, sociology, and ecology for the progress of interdisciplinary research.

  • Mathematics as a cultural system / by Raymond L. Wilder
    QA 21 W368 1981

  • The unreal life of Oscar Zariski / Carol Parikh
    QA 29 Z37P37 1991
    A biography of Russian-born Zariski (1899-1986), who significantly altered the foundations of algebraic geometry while teaching at Johns Hopkins and Harvard. N ovelist and poet Parikh bypasses the official biographical material, and draws on interviews with family and friends, and with Zariski himself. Annotation(c) 2003 Book News, Inc., Portland, OR (booknews.com)

  • Formal language theory : perspectives and open problems / edited by Ronald V. Book
    QA267.3
    Formal Language Theory: Perspectives and Open Problems focuses on the trends and major open problems on the formal language theory.

    The selection first ponders on the methods for specifying families of formal languages, open problems about regular languages, and generators of cones and cylinders. Discussions focus on cylinders of algebraic languages, cone of algebraic languages, regularity of noncounting classes, group complexity, specification formalism, and grammars. The publication then elaborates on very small families of algebraic nonrational languages and formal languages and their relation to automata.

    The book tackles morphisms on free monoids and language theory, homomorphisms, and survey of results and open problems in the mathematical theory of L systems. Topics include single finite substitutions iterated, single homomorphisms iterated, representation of language families, homomorphism equivalence on a language, and problems about infinite words.

    The selection is a valuable source of data for researchers interested in the formal language theory.

  • Linear algebra : concepts and applications / Przemyslaw Bogacki
    QA 184.2 B64 2019
    Linear Algebra: Concepts and Applications is designed to be used in a first linear algebra course taken by mathematics and science majors. It provides a complete coverage of core linear algebra topics, including vectors and matrices, systems of linear equations, general vector spaces, linear transformations, eigenvalues, and eigenvectors. All results are carefully, clearly, and rigorously proven. The exposition is very accessible. The applications of linear algebra are extensive and substantial--several of those recur throughout the text in different contexts, including many that elucidate concepts from multivariable calculus. Unusual features of the text include a pervasive emphasis on the geometric interpretation and viewpoint as well as a very complete treatment of the singular value decomposition. The book includes over 800 exercises and numerous references to the author's custom software Linear Algebra Toolkit.

  • Hex, inside and out : the full story / Ryan B. Hayward, Bjarne Toft
    QA 269 H39 2019

    Hex is the subject of books by Martin Gardner and Cameron Browne. Hex theory touches on graph theory, game theory and combinatorial game theory, with elegant proofs that the game has no draws and that the first player can win. From machines built by Claude Shannon to agents using Monte Carlo Tree Search, Hex is often used in the study of artificial intelligence. Written for a wide audience, this is the full story of Hex, inside and out, with all its twists and turns: Hein's creation, Lindhard's puzzles, Nash's proofs, Gale's Bridg-it, the game of Rex, Shannon's machines, Bridg-it's fall, Hex's resilience, Hex theory, the hunt for winning strategies, and the rise of Hexbots.


  • A hundred billion trillion stars / by Seth Fishman ; illustrated by Isabel Greenberg
    QA 40.5 F575 2017

    A Boston Globe-Horn Book Honor Book

    Winner of the Mathical Book Prize

    "This picture book is one in a gazillion."--Jane O'Connor, the New York Times-bestselling author of the Fancy Nancy series

    Did you know that the earth is covered in three trillion trees? And that seven billion people weigh about the same as ten quadrillion ants? Our world is full of constantly changing numbers, from a hundred billion trillion stars in space to thirty-seven billion rabbits on Earth. Can you imagine that many of anything?

    The playful illustrations from New York Times-bestselling artist Isabel Greenberg and the friendly, straightforward voice of author Seth Fishman illuminate some of the biggest numbers in the universe--a hundred billion trillion stars--and the smallest--one unique and special YOU. Here is a book for story time, for science time, for math time, for bedtime, and all the times in between.

    Perfect for curious children, classrooms eager for STEM content, and readers who have devoured Ada Twist, Scientist and How Much Is a Million?


  • Minimal submanifolds and related topics / Yuanlong Xin, Fudan University, China
    QA 613 X56 2019
    In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas-Rado solution to Plateau's problem, but the main emphasis is on Bernstein's problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and the author's own contributions to Bernstein type theorems for higher codimension. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds.This new edition contains the author's recent work on the Lawson-Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson-Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis.

  • Journey into discrete mathematics / Owen D. Byer, Deirdre L. Smeltzer and Kenneth L. Wantz
    QA 248 B9657 2018
    Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included--logic, sets, proof writing, relations, counting, number theory, and graph theory--in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines. The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective. Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.

  • From Christoffel words to Markoff numbers / Christophe Reutenauer
    QA 274.7 R48 2019
    In 1875, Elwin Bruno Christoffel introduced a special class of words on a binary alphabet linked to continued fractions which would go onto be known as Christoffel words. Some years later, Andrey Markoff published his famous theory, the now called Markoff theory. It characterized certainquadratic forms and certain real numbers by extremal inequalities. Both classes are constructed using certain natural numbers - known as Markoff numbers - and they are characterized by a certain Diophantine equality. More basically, they are constructed using certain words - essentially theChristoffel words. The link between Christoffel words and the theory of Markoff was noted by Ferdinand Frobenius in 1913, but has been neglected in recent times. Motivated by this overlooked connection, this book looks to expand on the relationship between these two areas. Part 1 focuses on the classical theory ofMarkoff, while Part II explores the more advanced and recent results of the theory of Christoffel words.

  • Convection-diffusion problems : an introduction to their analysis and numerical solution / Martin Stynes, David Stynes
    QA 377 S8785 2018
    Introduction and preliminary material; Convection-diffusion problems in one dimension; Finite difference methods in one dimension; Convection-diffusion problems in two dimensions; Finite difference methods in two dimensions; Finite element methods; Concluding remarks; Bibliography; Index.

  • Calculus in 3D : geometry, vectors, and multivariate calculus / Zbigniew Nitecki
    QA 303.2 N5825 2018
    Calculus in 3D is an accessible, well-written textbook for an honors course in multivariable calculus for mathematically strong first- or second-year university students. The treatment given here carefully balances theoretical rigor, the development of student facility in the procedures and algorithms, and inculcating intuition into underlying geometric principles. The focus throughout is on two or three dimensions. All of the standard multivariable material is thoroughly covered, including vector calculus treated through both vector fields and differential forms. There are rich collections of problems ranging from the routine through the theoretical to deep, challenging problems suitable for in-depth projects. Linear algebra is developed as needed. Unusual features include a rigorous formulation of cross products and determinants as oriented area, an in-depth treatment of conics harking back to the classical Greek ideas, and a more extensive than usual exploration and use of parametrized curves and surfaces. Zbigniew Nitecki is Professor of Mathematics at Tufts University and a leading authority on smooth dynamical systems. He is the author of Differentiable Dynamics, MIT Press; Differential Equations, A First Course (with M. Guterman), Saunders; Differential Equations with Linear Algebra (with M. Guterman), Saunders; and Calculus Deconstructed, MAA Press.

  • Spatio-temporal statistics with R / Christopher K. Wikle, Andrew Zammit-Mangion, Noel Cressie
    QA 278.2 W55 2019

    The world is becoming increasingly complex, with larger quantities of data available to be analyzed. It so happens that much of these "big data" that are available are spatio-temporal in nature, meaning that they can be indexed by their spatial locations and time stamps.

    Spatio-Temporal Statistics with R provides an accessible introduction to statistical analysis of spatio-temporal data, with hands-on applications of the statistical methods using R Labs found at the end of each chapter. The book:

    Gives a step-by-step approach to analyzing spatio-temporal data, starting with visualization, then statistical modelling, with an emphasis on hierarchical statistical models and basis function expansions, and finishing with model evaluation Provides a gradual entry to the methodological aspects of spatio-temporal statistics Provides broad coverage of using R as well as "R Tips" throughout. Features detailed examples and applications in end-of-chapter Labs Features "Technical Notes" throughout to provide additional technical detail where relevant Supplemented by a website featuring the associated R package, data, reviews, errata, a discussion forum, and more

    The book fills a void in the literature and available software, providing a bridge for students and researchers alike who wish to learn the basics of spatio-temporal statistics. It is written in an informal style and functions as a down-to-earth introduction to the subject. Any reader familiar with calculus-based probability and statistics, and who is comfortable with basic matrix-algebra representations of statistical models, would find this book easy to follow. The goal is to give as many people as possible the tools and confidence to analyze spatio-temporal data.

    coverage of using R as well as "R Tips" throughout. Features detailed examples and applications in end-of-chapter Labs Features "Technical Notes" throughout to provide additional technical detail where relevant Supplemented by a website featuring the associated R package, data, reviews, errata, a discussion forum, and more

    The book fills a void in the literature and available software, providing a bridge for students and researchers alike who wish to learn the basics of spatio-temporal statistics. It is written in an informal style and functions as a down-to-earth introduction to the subject. Any reader familiar with calculus-based probability and statistics, and who is comfortable with basic matrix-algebra representations of statistical models, would find this book easy to follow. The goal is to give as many people as possible the tools and confidence to analyze spatio-temporal data.

    ence to analyze spatio-temporal data.

  • Geometry : the line and the circle / Maureen T. Carroll, Elyn Rykken
    QA 445 C2985 2018

  • Elementary differential equations / Charles Roberts, Jr
    QA 372 R7495 2019

    Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect these advances, which leaves students at a disadvantage. This second edition has been created to address these changes and help instructors facilitate new teaching methods and the latest tools, which includes computers.

    The text is designed to help instructors who want to use computers in their classrooms. It accomplishes this by emphasizing and integrating computers in teaching elementary or ordinary differential equations. Many examples and exercises included in the text require the use of computer software to solve problems. It should be noted that since instructors use their own preferred software, this book has been written to be independent of any specific software package.

    Features:

    Focuses on numerical methods and computing to generate solutions Features extensive coverage of nonlinear differential equations and nonlinear systems Includes software programs to solve problems in the text which are located on the author's website Contains a wider variety of non-mathematical models than any competing textbook

    This second edition is a valuable, up-to-date tool for instructors teaching courses about differential equations. It serves as an excellent introductory textbook for undergraduate students majoring in applied mathematics, computer science, various engineering disciplines and other sciences. They also will find that the textbook will aide them greatly in their professional careers because of its instructions on how to use computers to solve equations.


  • Deepening students' mathematical understanding with children's literature / Eula Ewing Monroe and Terrell A. Young, editors, Debra S. Fuentes and Olivia Haworth Dial, associate editors
    QA 135.6 D44 2018
    "Deepening Students' Mathematical Understanding with Children's Literature using high quality children's books to create engaging and meaningful tasks that deepen mathematics learning for pre-K and elementary students, consistent with state-adopted standards. With the perspective of practice based on theory, the authors provide resources to help teachers develop background knowledge for deciding why, when, and how to incorporate children's literature effectively. Relevant exemplars illustrate principles and guidelines for selecting and utilizing children's literature to provide meaningful mathematics experiences for all students"--

  • A student's guide to Bayesian statistics / Ben Lambert
    QA 279.5 L36 2018

    Supported by a wealth of learning features, exercises, and visual elements as well as online video tutorials and interactive simulations, this book is the first student-focused introduction to Bayesian statistics.Without sacrificing technical integrity for the sake of simplicity, the author draws upon accessible, student-friendly language to provide approachable instruction perfectly aimed at statistics and Bayesian newcomers. Through a logical structure that introduces and builds upon key concepts in a gradual way and slowly acclimatizes students to using R and Stan software, the book covers:

    An introduction to probability and Bayesian inference Understanding Bayes′ rule Nuts and bolts of Bayesian analytic methods Computational Bayes and real-world Bayesian analysis Regression analysis and hierarchical methods

    This unique guide will help students develop the statistical confidence and skills to put the Bayesian formula into practice, from the basic concepts of statistical inference to complex applications of analyses.


  • Interaction effects in linear and generalized linear models : examples and applications using Stata / Robert L. Kaufman, Temple University
    QA 278.2 K38 2019
    Offering a clear set of workable examples with data and explanations, Interaction Effects in Linear and Generalized Linear Models is a comprehensive and accessible text that provides a unified approach to interpreting interaction effects. The book develops the statistical basis for the general principles of interpretive tools and applies them to a variety of examples, introduces the ICALC Toolkit for Stata (downloadable from the Robert L. Kaufman's website), and offers a series of start-to-finish application examples to show students how to interpret interaction effects for a variety of different techniques of analysis, beginning with OLS regression. The data sets and the Stata code to reproduce the results of the application examples are available online.

  • Introduction to number theory / Daniel E. Flath
    QA 241 F59 2018
    Growing out of a course designed to teach Gauss's Disquisitiones Arithmeticae to honors-level undergraduates, Flath's Introduction to Number Theory focuses on Gauss's theory of binary quadratic forms. It is suitable for use as a textbook in a course or self-study by advanced undergraduates or graduate students who possess a basic familiarity with abstract algebra. The text treats a variety of topics from elementary number theory including the distribution of primes, sums of squares, continued factions, the Legendre, Jacobi and Kronecker symbols, the class group and genera. But the focus is on quadratic reciprocity (several proofs are given including one that highlights the $p - q$ symmetry) and binary quadratic forms. The reader will come away with a good understanding of what Gauss intended in the Disquisitiones and Dirichlet in his Vorlesungen. The text also includes a lovely appendix by J. P. Serre titled $\Delta = b^2 - 4ac$. The clarity of the author's vision is matched by the clarity of his exposition. This is a book that reveals the discovery of the quadratic core of algebraic number theory. It should be on the desk of every instructor of introductory number theory as a source of inspiration, motivation, examples, and historical insight.

  • Optimization in industry : present practices and future scopes / Shubhabrata Datta, J. Paulo Davim, editors
    QA 402.5 O645 2019

    This book describes different approaches for solving industrial problems like product design, process optimization, quality enhancement, productivity improvement and cost minimization. Several optimization techniques are described. The book covers case studies on the applications of classical as well as evolutionary and swarm optimization tools for solving industrial issues. The content is very helpful for industry personnel, particularly engineers from the Operation, R&D and Quality Assurance sectors, and also the academic researchers of different engineering and/or business administration background.


  • Modern mathematics and mechanics : fundamentals, problems and challenges / Victor A. Sadovnichiy, Michael Z. Zgurovsky, editors
    QA 39.3 M63 2019
    In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems. These abstract mathematical approaches are applied to problem-solving in solid mechanics, hydro- and aerodynamics, optimization, decision making theory and control theory. This volume is therefore relevant to mathematicians as well as engineers working at the interface of these fields.

  • A first course in differential geometry : surfaces in Euclidean space / L.M. Woodward, J. Bolton
    QA 641 B625925 2019
    Differential geometry is the study of curved spaces using the techniques of calculus. It is a mainstay of undergraduate mathematics education and a cornerstone of modern geometry. It is also the language used by Einstein to express general relativity, and so is an essential tool for astronomers and theoretical physicists. This introductory textbook originates from a popular course given to third year students at Durham University for over twenty years, first by the late L. M. Woodward and later by John Bolton (and others). It provides a thorough introduction by focusing on the beginnings of the subject as studied by Gauss: curves and surfaces in Euclidean space. While the main topics are the classics of differential geometry - the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the Gauss-Bonnet Theorem - the treatment is modern and student-friendly, taking direct routes to explain, prove and apply the main results. It includes many exercises to test students' understanding of the material, and ends with a supplementary chapter on minimal surfaces that could be used as an extension towards advanced courses or as a source of student projects.

  • Making sense of number, K-10 : getting to know your students so you can support the development of their mathematical understanding / Mary Fiore, Ryan Tackaberry
    QA 11.2 F56 2018
    This practical book shows you how to get to know the needs and abilities of your students so you can help them make sense of math concepts. You will discover how to structure learning experiences around key number concepts: quantity, counting, relating, and representing. The key concepts will be developed across the various strands: patterning and algebra, number and operations, measurement, geometry, and data and probability.

  • Des méthodes dans les sciences de raisonnement / par J.M.C. Duhamel
    QA 8.4 D84
page last updated on: Monday 27 May 2019
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