Mathematics College Books Pdf

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NCTMbooks present new and different approaches to develop and support best practices in mathematics education. The books shown here represent a small sample of our mathematics education catalog. View the full catalog. NCTM premium members receive 30% off list price; essential members receive a 20% discount. Print editions of the listed books can be ordered from NCTM.

Mathematics for Social Justice offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book begins with a series of essays from instructors experienced in integrating social justice themes into their pedagogy; these essays contain political and pedagogical motivations as well as nuts-and-bolts teaching advice. The heart of the book is a collection of fourteen classroom-tested modules featuring ready-to-use activities and investigations for the college mathematics classroom. The mathematical tools and techniques used are relevant to a wide variety of courses including college algebra, math for the liberal arts, calculus, differential equations, discrete mathematics, geometry, financial mathematics, and combinatorics. The social justice themes include human trafficking, income inequality, environmental justice, gerrymandering, voting methods, and access to education.

For mathematics faculty who are interested in incorporating questions regarding social justice into their classrooms, 'Mathematics for Social Justice' offers a variety of resources that can kick start the process. This book is a collection of essays and modules that gives the reader a plethora of ideas for integrating questions of social justice into the mathematics classroom.

I am now based in Chicago although I still work in Europe frequently, and my work encompasses a range of activities including research in category theory, undergraduate teaching, writing books for a general audience, public speaking, outreach projects, school visits, professional development for teachers, mathematical art and also music: performing classical music as a solo and collaborative pianist, running the Liederstube, a non-for-profit I founded to bring classical music to a wider audience, giving piano lessons and voice coaching.

I am Scientist in Residence at the School of the Art Institute of Chicago and Honorary Visiting Fellow of City, University of London. Previously I was a Senior Lecturer (Associate Professor) of Pure Mathematics in the School of Mathematics and Statistics, University of Sheffield, UK. From September 2013 to December 2014 I was a visiting Senior Lecturer at the University of Chicago and I have been based in Chicago ever since, though I still frequently work and give talks in Europe. My research is in category theory, mostly higher-dimensional. Some non-technical introductions to my field can be found here and a list of research papers here.

I am keen to bring mathematics to a wider audience and help reduce maths phobia! I am good at explaining things in an accessible way to non-mathematicians of all ages. On top of my job teaching undergraduates and graduate students, I have volunteered helping with mathematics in primary/elementary school ever since I was a graduate student. I also founded the Sheffield Mathematics Academy to bring secondary/high school students to university for mathematics enrichment. My job at the School of the Art Institute of Chicago involves teaching high level abstract mathematics to art students. I also have a busy schedule giving public talks and leading workshops around the US and the world. My calendar can be found here. For more information about the popularisation and outreach work I do see here.

First Cheng explains how to use black-and-white logic to illuminate the world around us, giving us new insight into thorny political questions like public healthcare, Black Lives Matter and Brexit. Then she explains how logic and emotions, used side-by-side, can help us not only to be more rational individuals, but also to live more thoughtfully.

Review: Introduction to Algorithms is a distinctly theoretical but all-around comprehensive book. Its use is not only limited to those taking algorithms courses but can also be utilized by anyone as an extensive reference source. Readers will learn quintessential algorithms as well as concepts such as what makes an algorithm efficient and why. Students will need a bit of mathematical background to get from cover to cover, however those who are able to do so will be intrigued by the content depth and wide spectrum of topics covered. These topics run the gamut from classical algorithms to computational geometry. More info.

Review: This 3 volume box set does a marvelous job of covering subjects in the vast field of computer science. The writing is intact and brimming with mathematical rigor. Readers whose sole focus is learning can easily skim over areas that are excessively detailed without losing grasp of the core concepts. All three volumes are equally definitive and provide a clean theoretical explanation of fundamentals of computer science. The entire set is organized into six chapters: Basic Concepts, Information Structures, Random Numbers, Arithmetic, Sorting, and Searching. Additionally, each chapter section comes with questions students can use to gain better hands on experience. This is book is akin to the bible for computer scientists. A fourth volume is also available. More info.

Review: Lengthy yet vital, this resource book is jam packed with straight-forward explanations and loads of solved problems for students to easily learn from. Excelling many of its contemporaries by leaps and bounds, The Calculus Lifesaver truly lives up to its title. Students who are tired of dreary calculus textbooks that provide no motivation behind the concepts will be gladly surprised by the detailed and informal approach Banner uses to capture their attention. He fills all gaps and leaves readers feeling satisfied and enlightened. This book dually holds the characteristics of both an instructive primary aid as well as that of a supplementary read. More info.

Review: Even those who are not particularly gifted or even proficient in mathematics will enjoy sitting down and studying from Calculus Made Easy. Thompson creates a warm, inviting environment where students will learn and grasp the true essence of calculus without any added fluff or overt technicality. Frustrated students who have sought after a compatible calculus aid to no avail will agree that this is a professional tool that is presented to the reader on the same wavelength. Thompson knows that math is hard. Rather than taking the standard approach that many use to confound and further bewilder students, he breaks calculus down into a form that is a lot less threatening. More info.

Review: Math undergrads will find Principles and Techniques in Combinatorics to be a detailed but easy to read book. This is a much needed textbook that can truly be classified as introductory. The authors take careful consideration not to over-elaborate key concepts and thereby confuse those readers who are not as advanced in mathematics as others. Students will enjoy walking step by step through precisely detailed combinatorial proofs as well as reading the greatly in depth chapter on Recurrence Relations (Chapter 6). An abundance of combinatorial problems that are perfect for math competition trainers and participants can be found at the end of each chapter, adding even more value to this already low-priced gem. More info.

Review: This is an extraordinary book that every student and mathematician should absolutely have. The PCM carries the true signature of a math encyclopedia in that it is versatile and capable of being all things to all learners in every field of mathematics, and on all levels also. In light of its broad spectrum of topics, the editors have managed to keep this book cohesive and well knit together. The PCM includes specialized articles from contributors on a variety of math topics that even the most advanced pros can learn from. Non-mathematicians who are curious about the trade can also learn a great deal of information from the PCM due to its overall accessible nature. This is the kind of book that will still be read a hundred years from now, and it truly is the nicest book I own. More info.

Review: Sauer has created a book that is more than suitable for first course studies in numerical analysis. He highlights the five critical areas of the subject which are: Convergence, Complexity, Conditioning, Compression, and Orthogonality, and makes well-planned connections to each throughout the book. The proofs are exacting but not too intricate and will firmly satisfy students. Each chapter is laden with insight, and not just analysis. Sauer attentively infuses his book with numerous problems, some to be completed by hand and others through the use of the Matlab numerical computing package. Complete with Matlab code in the back of the book and an accompanying CD-ROM, students will find Numerical Analysis a pleasure to own. More info.

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