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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.

• Equations and inequalities : elementary problems and theorems in algebra and number theory / Jiří Herman, Radan Kučera, Jaromír Šimša ; translated by Karl Dilcher
 QA 218 H4713 2000A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.

• Applying the classification of finite simple groups : a user's guide / Stephen D. Smith
 QA 177 S645 2018Classification of Finite Simple Groups (CFSG) is a major project involving work by hundreds of researchers. The work was largely completed by about 1983, although final publication of the quasithin'' part was delayed until 2004. Since the 1980s, CFSG has had a huge influence on work in finite group theory and in many adjacent fields of mathematics. This book attempts to survey and sample a number of such topics from the very large and increasingly active research area of applications of CFSG. The book is based on the author's lectures at the September 2015 Venice Summer School on Finite Groups. With about 50 exercises from original lectures, it can serve as a second-year graduate course for students who have had first-year graduate algebra. It may be of particular interest to students looking for a dissertation topic around group theory. It can also be useful as an introduction and basic reference; in addition, it indicates fuller citations to the appropriate literature for readers who wish to go on to more detailed sources.

• The mathematics of the uncertain : a tribute to Pedro Gil / Eduardo Gil, Eva Gil, Juan Gil, María Ángeles Gil, editors
 QA276

• Analytic aspects of convexity / Gabriele Bianchi, Andrea Colesanti, Paolo Gronchi, editors
 QA639.5

• Methods for partial differential equations : qualitative properties of solutions, phase space analysis, semilinear models / Marcelo R. Ebert, Michael Reissig
 QA377

• Emerging applications of control and systems theory : a festschrift in honor of Mathukumalli Vidyasagar / edited by Roberto Tempo, Stephen Yurkovich, Pradeep Misra
 QA402.3

• Probabilistic cellular automata : theory, applications and future perspectives / Pierre-Yves Louis, Francesca R. Nardi, editors
 QA267.5.C45

• Advances in geometry and lie algebras from supergravity / Pietro Giuseppe Fré
 QA641

• Classification, (big) data analysis and statistical learning / Francesco Mola, Claudio Conversano, Maurizio Vichi, editors
 QA276

• Fuzzy sets-based methods and techniques for modern analytics / Ali Ebrahimnejad, José Luis Verdegay
 QA248.5

• Fuzzy sets theory preliminary : can a washing machine think? / Hao-Ran Lin, Bing-Yuan Cao, Yun-zhang Liao ; translated and compiled by Jun Xu ; English proofreading by Pei-hua Wang
 QA248.5

• Saddlepoint approximation methods in financial engineering / Yue Kuen Kwok, Wendong Zheng
 QA221

• Innovations in wave processes modelling and decision making : grid-characteristic method and applications / Alena V. Favorskaya, Igor B. Petrov, editors
 QA377

• A course in BE-algebras / Sambasiva Rao Mukkamala
 QA162

• An introduction to the technique of formative processes in set theory / Domenico Cantone, Pietro Ursino
 QA248

• New trends in parameter identification for mathematical models / Bernd Hofmann, Antonio Leitão, Jorge P. Zubelli, editors
 QA401

• A richer picture of mathematics : the Göttingen tradition and beyond / David E. Rowe
 QA21

• Complements of higher mathematics / Marin Marin, Andreas Öchsner
 QA331.7

• Bounds and asymptotics for orthogonal polynomials for varying weights / Eli Levin, Doron S. Lubinsky
 QA404.5

• The boundary element method in geophysical survey / Balgaisha Mukanova, Igor Modin
 QA431

• Track-before-detect using expectation maximisation : the histogram probabilistic multi-hypothesis tracker: theory and applications / Samuel J. Davey, Han X. Gaetjens
 QA312

• Trends and perspectives in linear statistical inference : proceedings of the LINSTAT2016 meeting held 22-25 August 2016 in Istanbul, Turkey / Müjgan Tez, Dietrich von Rosen, editors
 QA279

• Complex analysis and dynamical systems : new trends and open problems / Mark Agranovsky, Anatoly Golberg, Fiana Jacobzon, David Shoikhet, Lawrence Zalcman, editors
 QA331.7

• An introduction to finite tight frames / Shayne F. D. Waldron
 QA433

• Geometric and Harmonic Analysis on Homogeneous Spaces and Applications TJC 2015, Monastir, Tunisia, December 18-23 / edited by Ali Baklouti, Takaaki Nomura
 QA 403 G466 2017eb

• Optimization methods and applications : in honor of Ivan V. Sergienko's 80th birthday / Sergiy Butenko, Panos M. Pardalos, Volodymyr Shylo, editors
 QA 402.5 O685 2017eb

• L-functions and automorphic forms : LAF, Heidelberg, February 22-26, 2016 / Jan Hendrik Bruinier, Winfried Kohnen, editors
 QA 246 L486 2018eb

• Analysis in banach spaces. Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis
 QA 322.2 H988 2017ebThis second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

• Open conformal systems and perturbations of transfer operators / Mark Pollicott, Mariusz Urbański
 QA 609 P655 2017eb

• A primer for undergraduate research : from groups and tiles to frames and vaccines / Aaron Wootton, Valerie Peterson, Christopher Lee, editors
 QA 564 P756 2018eb

• Analytic number theory, modular forms and q-Hypergeometric series : in honor of Krishna Alladi's 60th birthday, University of Florida, Gainesville, March 2016 / George E. Andrews, Frank Garvan, editors
 QA 241 A535 2017eb

• Challenges in teaching linear algebra / Sepideh Stewart, Christine Andrews-Larson, Avi Berman, Michelle Zandieh, editors
 QA184.2

• R for data science : import, tidy, transform, visualize, and model data / Hadley Wickham and Garrett Grolemund
 QA 276.45 R3 W53 2016Learn how to use R to turn raw data into insight, knowledge, and understanding. This book introduces you to R, RStudio, and the tidyverse, a collection of R packages designed to work together to make data science fast, fluent, and fun. Suitable for readers with no previous programming experience, R for Data Science is designed to get you doing data science as quickly as possible. Authors Hadley Wickham and Garrett Grolemund guide you through the steps of importing, wrangling, exploring, and modeling your data and communicating the results. You'll get a complete, big-picture understanding of the data science cycle, along with basic tools you need to manage the details. Each section of the book is paired with exercises to help you practice what you've learned along the way. You'll learn how to: Wrangle --transform your datasets into a form convenient for analysis Program --learn powerful R tools for solving data problems with greater clarity and ease Explore --examine your data, generate hypotheses, and quickly test them Model --provide a low-dimensional summary that captures true "signals" in your dataset Communicate --learn R Markdown for integrating prose, code, and results

• C programming and numerical analysis : an introduction / Seiichi Nomura
 QA 297 N663 2018eb

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

• Euler's pioneering equation : the most beautiful theorem in mathematics / Robin Wilson
 QA 241 W55 2018In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a "score for beauty". While there were many worthy competitors, the winner was"Euler's equation". In 2004 Physics World carried out a similar poll of "greatest equations", and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as "like aShakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence". What is it that makes Euler's identity, eix + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a majordevelopment in mathematics, and opened up the idea of negative numbers; pi an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Followinga chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula.

• Hilbert schemes of points and infinite dimensional lie algebras / Zhenbo Qin
 QA 564 Q56 2018Hilbert schemes, which parametrize subschemes in algebraic varieties, have been extensively studied in algebraic geometry for the last 50 years. The most interesting class of Hilbert schemes are schemes $X^{{[n]}}$ of collections of $n$ points (zero-dimensional subschemes) in a smooth algebraic surface $X$. Schemes $X^{{[n]}}$ turn out to be closely related to many areas of mathematics, such as algebraic combinatorics, integrable systems, representation theory, and mathematical physics, among others. This book surveys recent developments of the theory of Hilbert schemes of points on complex surfaces and its interplay with infinite dimensional Lie algebras. It starts with the basics of Hilbert schemes of points and presents in detail an example of Hilbert schemes of points on the projective plane. Then the author turns to the study of cohomology of $X^{{[n]}}$, including the construction of the action of infinite dimensional Lie algebras on this cohomology, the ring structure of cohomology, equivariant cohomology of $X^{{[n]}}$ and the Gromov-Witten correspondence. The last part of the book presents results about quantum cohomology of $X^{{[n]}}$ and related questions. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, combinatorics, topology, number theory, and theoretical physics.

• Sugawara operators for classical Lie algebras / Alexander Molev
 QA 252.3 M6495 2018The celebrated Schur-Weyl duality gives rise to effective ways of constructing invariant polynomials on the classical Lie algebras. The emergence of the theory of quantum groups in the 1980s brought up special matrix techniques which allowed one to extend these constructions beyond polynomial invariants and produce new families of Casimir elements for finite-dimensional Lie algebras. Sugawara operators are analogs of Casimir elements for the affine Kac-Moody algebras. The goal of this book is to describe algebraic structures associated with the affine Lie algebras, including affine vertex algebras, Yangians, and classical $\mathcal{{W}}$-algebras, which have numerous ties with many areas of mathematics and mathematical physics, including modular forms, conformal field theory, and soliton equations. An affine version of the matrix technique is developed and used to explain the elegant constructions of Sugawara operators, which appeared in the last decade. An affine analogue of the Harish-Chandra isomorphism connects the Sugawara operators with the classical $\mathcal{{W}}$-algebras, which play the role of the Weyl group invariants in the finite-dimensional theory.

• Bounded cohomology of discrete groups / Roberto Frigerio
 QA 612.3 F75 2017The theory of bounded cohomology, introduced by Gromov in the late 1980s, has had powerful applications in geometric group theory and the geometry and topology of manifolds, and has been the topic of active research continuing to this day. This monograph provides a unified, self-contained introduction to the theory and its applications, making it accessible to a student who has completed a first course in algebraic topology and manifold theory. The book can be used as a source for research projects for master's students, as a thorough introduction to the field for graduate students, and as a valuable landmark text for researchers, providing both the details of the theory of bounded cohomology and links of the theory to other closely related areas. The first part of the book is devoted to settling the fundamental definitions of the theory, and to proving some of the (by now classical) results on low-dimensional bounded cohomology and on bounded cohomology of topological spaces. The second part describes applications of the theory to the study of the simplicial volume of manifolds, to the classification of circle actions, to the analysis of maximal representations of surface groups, and to the study of flat vector bundles with a particular emphasis on the possible use of bounded cohomology in relation with the Chern conjecture. Each chapter ends with a discussion of further reading that puts the presented results in a broader context.

• 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

• Game theory : breakthroughs in research and practice / Information Resources Management Association, USA [editor]
 QA 269 G3536 2018Developments in the use of game theory have impacted multiple fields and created opportunities for new applications. With the ubiquity of these developments, there is an increase in the overall utilization of this approach. Game Theory: Breakthroughs in Research and Practice contains a compendium of the latest academic material on the usage, strategies, and applications for implementing game theory across a variety of industries and fields. Including innovative studies on economics, military strategy, and political science, this multi-volume book is an ideal source for professionals, practitioners, graduate students, academics, and researchers interested in the applications of game theory.

• An introduction to Fourier analysis / Russell L. Herman
 QA 403.5 H4275 2017This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields of mathematics, science, and engineering. This introductory textbook was written with mathematics, science, and engineering students with a background in calculus and basic linear algebra in mind. It can be used as a textbook for undergraduate courses in Fourier analysis or applied mathematics, which cover Fourier series, orthogonal functions, Fourier and Laplace transforms, and an introduction to complex variables. These topics are tied together by the application of the spectral analysis of analog and discrete signals, and provide an introduction to the discrete Fourier transform. A number of examples and exercises are provided including implementations of Maple, MATLAB, and Python for computing series expansions and transforms. After reading this book, students will be familiar with: * Convergence and summation of infinite series * Representation of functions by infinite series * Trigonometric and Generalized Fourier series * Legendre, Bessel, gamma, and delta functions * Complex numbers and functions * Analytic functions and integration in the complex plane * Fourier and Laplace transforms. * The relationship between analog and digital signals Dr. Russell L. Herman is a professor of Mathematics and Professor of Physics at the University of North Carolina Wilmington. A recipient of several teaching awards, he has taught introductory through graduate courses in several areas including applied mathematics, partial differential equations, mathematical physics, quantum theory, optics, cosmology, and general relativity. His research interests include topics in nonlinear wave equations, soliton perturbation theory, fluid dynamics, relativity, chaos and dynamical systems.

• Notes on counting : an introduction to enumerative combinatorics / Peter J. Cameron (University of St Andrews, Scotland)
 QA 164 C36 2017Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs for many of the theorems to show the range of techniques available, and uses examples to link enumerative combinatorics to other areas of study. The main section of the book introduces the key tools of the subject (generating functions and recurrence relations), which are then used to study the most important combinatorial objects, namely subsets, partitions, and permutations of a set. Later chapters deal with more specialised topics, including permanents, SDRs, group actions and the Redfield-Plya theory of cycle indices, Mbius inversion, the Tutte polynomial, and species.

• Mathematics in early years education / Ann Montague-Smith, Tony Cotton, Alice Hansen, and Alison J. Price
 QA 135.5 M5813 2018This fourth edition of the bestselling Mathematics in Early Years Education provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics ¿ number and counting, calculation, pattern, shape, measures and data handling ¿ it provides a wide range of practical activities and guidance on how to support young children¿s mathematical development. There is also guidance on managing the transition to KS1 and a strong emphasis throughout on creating home links and working in partnership with parents. This new edition has been fully updated to incorporate the latest research and thinking in this area and includes: why mathematics is important as a way of making sense of the world how attitudes to mathematics can influence teaching and learning how children learn mathematics and what they are capable of learning how technology can support maths teaching maths phobia and the impact society has on maths teaching material on sorting, matching and handling data the importance of educating about finance in today¿s world ideas for observation and questioning to assess children¿s understanding examples of planned activities suggestions for language development assessment criteria. This textbook is ideal for those training to be teachers through an undergraduate or PGCE route, those training for Early Years Professional Status and those studying early childhood on foundation or honours degrees, as well as parents looking to explore how their young children learn mathematics. This will be an essential text for any early years practitioner looking to make mathematics interesting, exciting and engaging in their classroom.

• Graphs, algorithms, and optimization / William L. Kocay, Donald L. Kreher
 QA 166.245 K63 2017The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs. ¿

• Exploring the infinite : an introduction to proof and analysis / Jennifer Brooks, University of Montana, USA
 QA 300 B7245 2017Exploring the Infinite addresses the trend toward a combined transition course and introduction to analysis course. It guides the reader through the processes of abstraction and log- ical argumentation, to make the transition from student of mathematics to practitioner of mathematics. This requires more than knowledge of the definitions of mathematical structures, elementary logic, and standard proof techniques. The student focused on only these will develop little more than the ability to identify a number of proof templates and to apply them in predictable ways to standard problems. This book aims to do something more; it aims to help readers learn to explore mathematical situations, to make conjectures, and only then to apply methods of proof. Practitioners of mathematics must do all of these things. The chapters of this text are divided into two parts. Part I serves as an introduction to proof and abstract mathematics and aims to prepare the reader for advanced course work in all areas of mathematics. It thus includes all the standard material from a transition to proof" course. Part II constitutes an introduction to the basic concepts of analysis, including limits of sequences of real numbers and of functions, infinite series, the structure of the real line, and continuous functions. ¿ Features Two part text for the combined transition and analysis course New approach focuses on exploration and creative thought Emphasizes the limit and sequences Introduces programming skills to explore concepts in analysis Emphasis in on developing mathematical thought Exploration problems expand more traditional exercise sets

• The calculus story : a mathematical adventure / David Acheson
 QA 303.2 A32 2017Calculus is the key to much of modern science and engineering. It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is alsosomething of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn...In The Calculus Story David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step by step treatment, hedemonstrates how to start doing calculus, from the very beginning.

• Twists, tilings, and tessellations / Robert J. Lang
 QA 166.8 L36 2018Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

• A concrete introduction to real analysis / Robert Carlson
 QA 300 C315 2018The Second Edition offers a major re-organization of the book, with the goal of making it much more competitive as a text for students. The revised edition will be appropriate for a one- or two-semester introductory real analysis course. Like the first edition, the primary audience is the large collection of students who will never take a graduate level analysis course. The choice of topics and level of coverage is suitable for future high school teachers, and for students who will become engineers or other professionals needing a sound working knowledge of undergraduate mathematics.

• Basic and advanced statistical tests : writing results sections and creating tables and figures / Amanda Ross, A.A. Ross Consulting and Research, USA and Victor L. Willson, Texas A&M University, USA
 QA 277 R67 2017This book focuses on extraction of pertinent information from statistical test outputs, in order to write result sections and/or accompanying tables and/or figures. The book is divided into two encompassing sections: Part I - Basic Statistical Tests and Part II - Advanced Statistical Tests. Part I includes 9 basic statistical tests, and Part II includes 7 advanced statistical tests. Each chapter provides the name of a basic or advanced statistical test, a brief description, examples of when to use each, a sample scenario, and a sample results section write-up. Depending on the test and need, most chapters provide a table and/or figure to accompany the write-up. The purpose of the book is to provide researchers with a reference manual for writing results sections and tables/figures in scholarly works. The authors fill a gap in research support manuals by focusing on sample write-ups and tables/figures for given statistical tests. The book assists researchers by eliminating the need to comb through numerous publications to determine necessary information to report, as well as correct APA format to use, at the close of analyses.

• Topics in hyperplane arrangements / Marcelo Aguiar, Swapneel Mahajan
 QA 251.3 A356 2017This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and unified treatment of several recent developments in the field, and brings forth many new ideas and results. It has two parts, each divided into eight chapters, and five appendices with background material. Part I gives a detailed discussion on faces, flats, chambers, cones, gallery intervals, lunes and other geometric notions associated with arrangements. The Tits monoid plays a central role. Another important object is the category of lunes which generalizes the classical associative operad. Also discussed are the descent and lune identities, distance functions on chambers, and the combinatorics of the braid arrangement and related examples. Part II studies the structure and representation theory of the Tits algebra of an arrangement. It gives a detailed analysis of idempotents and Peirce decompositions, and connects them to the classical theory of Eulerian idempotents. It introduces the space of Lie elements of an arrangement which generalizes the classical Lie operad. This space is the last nonzero power of the radical of the Tits algebra. It is also the socle of the left ideal of chambers and of the right ideal of Zie elements. Zie elements generalize the classical Lie idempotents. They include Dynkin elements associated to generic half-spaces which generalize the classical Dynkin idempotent. Another important object is the lune-incidence algebra which marks the beginning of noncommutative Mobius theory. These ideas are also brought upon the study of the Solomon descent algebra. The monograph is written with clarity and in sufficient detail to make it accessible to graduate students. It can also serve as a useful reference to experts.

• Expanding Thurston Maps / Mario Bonk, Daniel Meyer
 QA 612 B66 2017This monograph is devoted to the study of the dynamics of expanding Thurston maps under iteration. A Thurston map is a branched covering map on a two-dimensional topological sphere such that each critical point of the map has a finite orbit under iteration. A Thurston map is called expanding if, roughly speaking, preimages of a fine open cover of the underlying sphere under iterates of the map become finer and finer as the order of the iterate increases. Every expanding Thurston map gives rise to a fractal space, called its visual sphere. Many dynamical properties of the map are encoded in the geometry of this visual sphere. For example, an expanding Thurston map is topologically conjugate to a rational map if and only if its visual sphere is quasisymmetrically equivalent to the Riemann sphere. This relation between dynamics and fractal geometry is the main focus for the investigations in this work.

• Numerical solution of differential equations : introduction to finite difference and finite element methods / Zhilin Li, Zhonghua Qiao, Tao Tang
 QA 371 L59 2018This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ODEs) and so the book will be accessible and useful to readers from a range of disciplines across science and engineering. Part I begins with finite difference methods. Finite element methods are then introduced in Part II. In each part, the authors begin with a comprehensive discussion of one-dimensional problems, before proceeding to consider two or higher dimensions. An emphasis is placed on numerical algorithms, related mathematical theory, and essential details in the implementation, while some useful packages are also introduced. The authors also provide well-tested MATLAB codes, all available online.

• An introduction to SAS Visual Analytics : how to explore numbers, design reports, and gain insight into your data / Tricia Aanderud, Rob Collum, Ryan Kumpfmiller

• How to integrate it : a practical guide to finding elementary integrals / Seán M. Stewart
 QA 308 S848 2018While differentiating elementary functions is merely a skill, finding their integrals is an art. This practical introduction to the art of integration gives readers the tools and confidence to tackle common and uncommon integrals. After a review of the basic properties of the Riemann integral, each chapter is devoted to a particular technique of elementary integration. Thorough explanations and plentiful worked examples prepare the reader for the extensive exercises at the end of each chapter. These exercises increase in difficulty from warm-up problems, through drill examples, to challenging extensions which illustrate such advanced topics as the irrationality of π and e, the solution of the Basel problem, Leibniz's series and Wallis's product. The author's accessible and engaging manner will appeal to a wide audience, including students, teachers and self-learners. The book can serve as a complete introduction to finding elementary integrals, or as a supplementary text for any beginning course in calculus.

• Every math learner : a doable approach to teaching with learning differences in mind : grades 6-12 / Nanci N. Smith ; foreword by Carol Ann Tomlinson
 QA 20 I53 S65 2017Through immediately actionable tools, tasks, and strategies, this book will help grades 6 through 12 teachers know and understand their students as learners, plan for differentiation at both the macro level and the day-to-day classroom level, assess learning as it occurs and revise teaching strategies responsively, and manage the ins and outs of facilitating the ideal differentiated learning space.

• Codes, cryptology and curves with computer algebra / Ruud Pellikaan, Technische Universiteit Eindhoven, The Netherlands, Xin-Wen Wu, Griffith University, Queensland, Stanislav Bulygin, Relinde Jurrius, Université de Neuchatel, Switzerland
 QA 268 P45 2018This well-balanced text touches on theoretical and applied aspects of protecting digital data. The reader is provided with the basic theory and is then shown deeper fascinating detail, including the current state of the art. Readers will soon become familiar with methods of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are introduced together with numerous results on their parameters and properties. The authors explain how to apply these codes to symmetric and public key cryptosystems and secret sharing. Interesting approaches based on polynomial systems solving are applied to cryptography and decoding codes. Computer algebra systems are also used to provide an understanding of how objects introduced in the book are constructed, and how their properties can be examined. This book is designed for Masters-level students studying mathematics, computer science, electrical engineering or physics.

• Big ideas in primary mathematics / Robert Newell
 QA 135.6 N48 2017 Lightbulb moments for you and your pupils This book explores the 'big ideas' in maths to help trainee teachers confidently teach the curriculum in a way that engages children and focuses on understanding, rather than memory, for those lightbulb moments. Covering the major concepts in simple terms, whilst carefully linking to the National Curriculum, it shows how they can be used to enable learning and support mathematical mastery. A focus on explaining misconceptions and errors will strengthen trainees and teachers own mathematical subject knowledge, while also giving them the confidence to deepen their understanding of the children they teach. Key topics include: Problem-solving, reasoning and developing fluency in maths Place value and counting systems Measuring money, time and weight Geometry, and understanding space and shape Fractions and statistics for the primary classroom This is essential reading for anyone studying primary mathematics on initial teacher education courses, including undergraduate (BEd, BA with QTS) and postgraduate (PGCE, PGDE, School Direct, SCITT) routes, and also NQTs. Robert Newell is a tutor in primary education at the UCL Institute of Education, London.

• Concise introduction to linear algebra / Qingwen Hu
 QA 184.2 H8 2018Concise Introduction to Linear Algebradeals with the subject of linear algebra, covering vectors and linear systems, vector spaces, orthogonality, determinants, eigenvalues and eigenvectors, singular value decomposition. It adopts an efficient approach to lead students from vectors, matrices quickly into more advanced topics including, LU decomposition, orthogonal decomposition, Least squares solutions, Gram-Schmidt process, eigenvalues and eigenvectors, diagonalizability, spectral decomposition, positive definite matrix, quadratic forms, singular value decompositions and principal component analysis. This book is designed for onesemester teaching to undergraduate students.
page last updated on: Monday 28 May 2018