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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.


  • Diffusion source localization in large networks / Lei Ying and Kai Zhu
    QA 274.75 Y553 2018eb
    Diffusion processes in large networks have been used to model many real-world phenomena, including how rumors spread on the Internet, epidemics among human beings, emotional contagion through social networks, and even gene regulatory processes. Fundamental estimation principles and efficient algorithms for locating diffusion sources can answer a wide range of important questions, such as identifying the source of a widely spread rumor on online social networks. This book provides an overview of recent progress on source localization in large networks, focusing on theoretical principles and fundamental limits. The book covers both discrete-time diffusion models and continuous-time diffusion models. For discrete-time diffusion models, the book focuses on the Jordan infection center; for continuous-time diffusion models, it focuses on the rumor center. Most theoretical results on source localization are based on these two types of estimators or their variants. This book also includes algorithms that leverage partial-time information for source localization and a brief discussion of interesting unresolved problems in this area.

  • Applied linear regression models
    QA 278.2 N46 2004
    Kutner, Neter, Nachtsheim, Wasserman, Applied Linear Regression Models, 4/e (ALRM4e) is the long established leading authoritative text and reference on regression (previously Neter was lead author.) For students in most any discipline where statistical analysis or interpretation is used, ALRM has served as the industry standard. The text includes brief introductory and review material, and then proceeds through regression and modeling. All topics are presented in a precise and clear style supported with solved examples, numbered formulae, graphic illustrations, and "Notes" to provide depth and statistical accuracy and precision. Applications used within the text and the hallmark problems, exercises, and projects are drawn from virtually all disciplines and fields providing motivation for students in any discipline. ALRM 4e provides an increased use of computing and graphical analysis throughout, without sacrificing concepts or rigor by using larger data sets in examples and exercises, and where methods can be automated within software without loss of understanding, it is so done.

  • Lectures on categorical data analysis / Tamás Rudas
    QA276

  • Independent random sampling methods / Luca Martino, David Luengo, Joaquín Míguez
    QA276.6

  • Nonlinear Eigenproblems in image processing and computer vision / Guy Gilboa
    QA371

  • Combinatorial matrix theory / Richard A. Brualdi, Ángeles Carmona, P. van den Driessche, Stephen Kirkland, Dragan Stevanović ; editors for this volume: Andrés M. Encinas, Margarida Mitjana
    QA188

  • Bidirectional transformations : International Summer School, Oxford, UK, July 25-29, 2016, tutorial lectures / Jeremy Gibbons, Perdita Stevens (eds.)
    QA601

  • Building bridges between algebra and topology / Wojciech Chachólski, Tobias Dyckerhoff, John Greenlees, Greg Stevenson ; editors for this volume: Dolors Herbera, Wolfgang Pitsch, Santiago Zarzuela
    QA169

  • Tensor Eigenvalues and their applications / Liqun Qi, Haibin Chen, Yannan Chen
    QA433

  • Operator theory in different settings and related applications : 26th IWOTA, Tbilisi, July 2015 / Roland Duduchava, Marinus A. Kaashoek, Nikolai Vasilevski, Victor Vinnikov, editors
    QA329

  • 50 years with Hardy spaces : a tribute to Victor Havin / Anton Baranov, Sergei Kisliakov, Nikolai Nikolski, editors
    QA331

  • New trends in approximation theory : in memory of André Boivin / Javad Mashreghi, Myrto Manolaki, Paul Gauthier, editors
    QA221

  • Geometry through history : Euclidean, hyperbolic, and projective geometries / Meighan I. Dillon
    QA443.5

  • Mathematical foundations of advanced informatics. Bernhard Steffen, Oliver Rüthing, Michael Huth
    QA9.2

  • Galois theory through exercises / Juliusz Brzeziński
    QA214

  • Polyoxometalate-based assemblies and functional materials / Yu-Fei Song, editor ; with contributions by W. Chen [and more]
    QA474

  • Modern problems in applied analysis / Piotr Drygaś, Sergei Rogosin, editors
    QA300

  • Singularities and foliations : geometry, topology and applications : BMMS 2/NBMS 3, Salvador, Brazil, 2015 / Raimundo Nonato Araújo dos Santos, Aurélio Menegon Neto, David Mond, Marcelo J. Saia, Jawad Snoussi, editors
    QA614.58

  • Algebraic Topology A Primer / by Satya Deo
    QA612

  • Fuzzy graph theory with applications to human trafficking / John N. Mordeson, Sunil Mathew, Davender S. Malik
    QA166.175

  • Combinatorial optimization : theory and algorithms / Bernhard Korte, Jens Vygen
    QA402.5

  • Pareto-Nash-Stackelberg game and control theory : intelligent paradigms and applications / Valeriu Ungureanu
    QA269

  • Summability calculus : a comprehensive theory of fractional finite sums / Ibrahim M. Alabdulmohsin
    QA303.2

  • Business case analysis with R : simulation tutorials to support complex business decisions / Robert D. Brown III
    QA276.45.R3

  • Homological and combinatorial methods in algebra : SAA 4, Ardabil, Iran, August 2016 / Ayman Badawi, Mohammad Reza Vedadi, Siamak Yassemi, Ahmad Yousefian Darani, editors
    QA169

  • Don Pigozzi on abstract algebraic logic, universal algebra, and computer science / Janusz Czelakowski, editor
    QA29.P54

  • Language and Communication in Mathematics Education : International Perspectives / Judit N. Moschkovich, David Wagner, Arindam Bose, Jackeline Rodrigues Mendes, Marcus Schütte, editors
    QA11.2

  • Mathematical creativity and mathematical giftedness : enhancing creative capacities in mathematically promising students / Florence Mihaela Singer, editor
    QA11.2

  • Teaching and learning stochastics : advances in probability education research / Carmen Batanero, Egan J. Chernoff, editors
    QA273.2

  • Morphisms for quantitative spatial analysis / Daniel A. Griffith, Jean H.P. Paelinck
    QA278.2

  • Raoul Bott : collected papers. Loring W. Tu, editor
    QA26

  • Mathematical foundations of time series analysis : a concise introduction / Jan Beran
    QA280

  • Geometric function theory in higher dimension / Filippo Bracci, editor
    QA360

  • Series of Bessel and kummer-type functions / Árpád Baricz, Dragana Jankov Maširević, Tibor K. Pogány
    QA408

  • Uncertainty quantification for hyperbolic and kinetic equations / Shi Jin, Lorenzo Pareschi, editors
    QA374

  • Multivariable calculus with applications / Peter D. Lax, Maria Shea Terrell
    QA278

  • Nonlinear systems stability analysis : Lyapunov-based approach / Seyed Kamaleddin Yadavar Nikravesh
    QA 402.35 N555 2013

    The equations used to describe dynamic properties of physical systems are often nonlinear, and it is rarely possible to find their solutions. Although numerical solutions are impractical and graphical techniques are not useful for many types of systems, there are different theorems and methods that are useful regarding qualitative properties of nonlinear systems and their solutions--system stability being the most crucial property. Without stability, a system will not have value.

    Nonlinear Systems Stability Analysis: Lyapunov-Based Approachintroduces advanced tools for stability analysis of nonlinear systems. It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability analysis methods using Lyapunov approaches. The author discusses standard stability techniques, highlighting their shortcomings, and also describes recent developments in stability analysis that can improve applicability of the standard methods. The text covers mostly new topics such as stability of homogonous nonlinear systems and higher order Lyapunov functions derivatives for stability analysis. It also addresses special classes of nonlinear systems including time-delayed and fuzzy systems.

    Presenting new methods, this book provides a nearly complete set of methods for constructing Lyapunov functions in both autonomous and nonautonomous systems, touching on new topics that open up novel research possibilities. Gathering a body of research into one volume, this text offers information to help engineers design stable systems using practice-oriented methods and can be used for graduate courses in a range of engineering disciplines.


  • Polytope projects / Octavian Iordache, President, Polystochastic, Montreal, Quebec, Canada
    QA 691 I66 2014
    How do you know what works and what doesn't? This book contains case studies highlighting the power of polytope projects for complex problem solving. Any sort of combinational problem characterized by a large variety of possibly complex constructions and deconstructions based on simple building blocks can be studied in a similar way. Although the majority of case studies are related to chemistry, the method is general and equally applicable to other fields for engineering or science.

  • Experimental design and process optimization / Maria Isabel Rodrigues, Antonio Francisco Iemma
    QA 279 R63 2015

    Experimental Design and Process Optimization delves deep into the design of experiments (DOE). The book includes Central Composite Rotational Design (CCRD), fractional factorial, and Plackett and Burman designs as a means to solve challenges in research and development as well as a tool for the improvement of the processes already implemented. Appropriate strategies for 2 to 32 factors are covered in detail in the book.

    The book covers the essentials of statistical science to assist readers in understanding and applying the concepts presented. It also presents numerous examples of applications using this methodology. The authors are not only experts in the field but also have significant practical experience. This allows them to discuss the application of the theoretical aspects discussed through various real-world case studies.

  • Dynamics of the chemostat : a bifurcation theory approach / Abdelhamid Ajbar, Khalid Alhumaizi
    QA 380 A33 2012

    A ubiquitous tool in mathematical biology and chemical engineering, the chemostat often produces instabilities that pose safety hazards and adversely affect the optimization of bioreactive systems. Singularity theory and bifurcation diagrams together offer a useful framework for addressing these issues. Based on the authors' extensive work in this field, Dynamics of the Chemostat: A Bifurcation Theory Approachexplores the use of bifurcation theory to analyze the static and dynamic behavior of the chemostat.

    Introduction
    The authors first survey the major work that has been carried out on the stability of continuous bioreactors. They next present the modeling approaches used for bioreactive systems, the different kinetic expressions for growth rates, and tools, such as multiplicity, bifurcation, and singularity theory, for analyzing nonlinear systems.

    Application
    The text moves on to the static and dynamic behavior of the basic unstructured model of the chemostat for constant and variable yield coefficients as well as in the presence of wall attachment. It then covers the dynamics of interacting species, including pure and simple microbial competition, biodegradation of mixed substrates, dynamics of plasmid-bearing and plasmid-free recombinant cultures, and dynamics of predator-prey interactions. The authors also examine dynamics of the chemostat with product formation for various growth models, provide examples of bifurcation theory for studying the operability and dynamics of continuous bioreactor models, and apply elementary concepts of bifurcation theory to analyze the dynamics of a periodically forced bioreactor.

    Using singularity theory and bifurcation techniques, this book presents a cohesive mathematical framework for analyzing and modeling the macro- and microscopic interactions occurring in chemostats. The text includes models that describe the intracellular and operating elements of the bioreactive system. It also explains the mathematical theory behind the models.


  • The Newman lectures on mathematics / John Newman, Vincent Battaglia
    QA 11.2 N49 2018

    Prof. Newman is considered one of the great chemical engineers of his time. His reputation derives from his mastery of all phases of the subject matter, his clarity of thought, and his ability to reduce complex problems to their essential core elements. He is a member of the National Academy of Engineering, Washington, DC, USA, and has won numerous national awards including every award offered by the Electrochemical Society, USA. His motto, as known by his colleagues, is "do it right the first time." He has been teaching undergraduate and graduate core subject courses at the University of California, Berkeley (UC Berkeley), USA, since joining the faculty in 1966. His method is to write out, in long form, everything he expects to convey to his class on a subject on any given day. He has maintained and updated his lecture notes from notepad to computer throughout his career. This book is an exact reproduction of those notes.

    This book shows a clean and concise way on how to use different analytical techniques to solve equations of multiple forms that one is likely to encounter in most engineering fields, especially chemical engineering. It provides the framework for formulating and solving problems in mass transport, fluid dynamics, reaction kinetics, and thermodynamics through ordinary and partial differential equations. It includes topics such as Laplace transforms, Legendre's equation, vector calculus, Fourier transforms, similarity transforms, coordinate transforms, conformal mapping, variational calculus, superposition integrals, and hyperbolic equations. The simplicity of the presentation instils confidence in the readers that they can solve any problem they come across either analytically or computationally.


  • Applied parameter estimation for chemical engineers / Peter Englezos, Nicolas Kalogerakis
    QA 274.4 E54 2001
    This book determines adjustable parameters in mathematical models that describe steady state or dynamic systems, presenting the most important optimization methods used for parameter estimation. It focuses on the Gauss-Newton method and its modifications for systems and processes represented by algebraic or differential equation models.

  • An introduction to number theory with cryptography / James S. Kraft, Lawrence C. Washington
    QA 241 K73 2018

    Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory.

    The authors have written the text in an engaging style to reflect number theory's increasing popularity. The book is designed to be used by sophomore, junior, and senior undergraduates, but it is also accessible to advanced high school students and is appropriate for independent study. It includes a few more advanced topics for students who wish to explore beyond the traditional curriculum.


  • An experimental introduction to number theory / Benjamin Hutz
    QA 241 H88 2018
    This book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test precise conjectures from experimental data. Each topic is motivated by a question to be answered, followed by some experimental data, and, finally, the statement and proof of a theorem. There are numerous opportunities throughout the chapters and exercises for the students to engage in (guided) open-ended exploration. At the end of a course using this book, the students will understand how mathematics is developed from asking questions to gathering data to formulating and proving theorems. The mathematical prerequisites for this book are few. Early chapters contain topics such as integer divisibility, modular arithmetic, and applications to cryptography, while later chapters contain more specialized topics, such as Diophantine approximation, number theory of dynamical systems, and number theory with polynomials. Students of all levels will be drawn in by the patterns and relationships of number theory uncovered through data driven exploration.

  • International perspectives on mathematics curriculum / edited by Denisse R. Thompson, University of South Florida, Mary Ann Huntley, Cornell University, Christine Suurtamm, University of Ottawa
    QA 11.2 I6684 2018

  • Differential equations : a problem solving approach based on MATLAB / P. Mohana Shankar, Drexel University, Department of Electrical & Computer Engineering, Philadelphia, Pennsylvania, USA
    QA 371.5 D37 S45 2018

    The book takes a problem solving approach in presenting the topic of differential equations. It provides a complete narrative of differential equations showing the theoretical aspects of the problem (the how's and why's), various steps in arriving at solutions, multiple ways of obtaining solutions and comparison of solutions. A large number of comprehensive examples are provided to show depth and breadth and these are presented in a manner very similar to the instructor's class room work. The examples contain solutions from Laplace transform based approaches alongside the solutions based on eigenvalues and eigenvectors and characteristic equations. The verification of the results in examples is additionally provided using Runge-Kutta offering a holistic means to interpret and understand the solutions. Wherever necessary, phase plots are provided to support the analytical results. All the examples are worked out using MATLAB® taking advantage of the Symbolic Toolbox and LaTex for displaying equations. With the subject matter being presented through these descriptive examples, students will find it easy to grasp the concepts. A large number of exercises have been provided in each chapter to allow instructors and students to explore various aspects of differential equations.


  • Applied functional analysis / J. Tinsley Oden, Leszek F. Demkowicz
    QA 320 O29 2018

    Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science.

    This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces.

    The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory.

    The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements.


  • Crossing numbers of graphs / Marcus Schaefer, DePaul University Chicago, Il, USA
    QA 166.195 S33 2018

    Crossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections. The field has matured into a large body of work, which includes identifiable core results and techniques. The book presents a wide variety of ideas and techniques in topological graph theory, discrete geometry, and computer science.


  • Calculus : early transcendental functions
    QA 303 L3274 2019
    Designed for the three-semester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 7th Edition, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the seventh of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.
page last updated on: Wednesday 18 July 2018
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