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Active Calculus (2nd Edition)

$38.00 - $48.00

Active Calculus: Single Variable (2nd Ed) is an open-source textbook that is available free in HTML and PDF, as well as in this low-cost print version. The style of the text requires students to be active learners: there are very few worked examples in the text, with instead 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of fundamental calculus ideas. Each section begins with a brief introduction and a preview activity designed to be completed before class; each section concludes (in HTML) with live anonymous WeBWorK exercises for immediate feedback, followed by a few challenging non-WeBWorK exercises. The text is suitable for a 2-semester course in single variable calculus, and there’s a Spanish translation of the 1st edition. The author maintains a large repository of available-upon-request ancillary materials including sample syllabi and course calendars, additional WeBWorK exercises, supplementary written homework exercises, laboratory activities, weekly quizzes, and final exams. There is also a large instructor user community that is connected through an online Google group. Learn more at activecalculus.org.

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Arbitrarily Close: An Introduction to Real Analysis

$49.00 - $69.00

Arbitrarily Close: An Introduction to Real Analysis is geared towards the curious student who prefers thorough explanations and an abundance of detail beyond what the current canon on analysis generally offers. Concepts are built from a formal definition for “arbitrarily close” to parse introductions to the core and notoriously difficult concepts of convergence, compactness, continuity, limits, derivatives, integrals, uniform convergence, and series.

The overall structure here follows a definition-example/theorem/lemma-scratch work-proof pattern. In particular, scratch work is used to motivate, comment upon, and provide preliminary work for proofs. Included are approximately 150 figures and 20 QR codes with links to dynamic Desmos and GeoGebra activities, all designed to help the reader find their own intuition for real analysis. Color is used in figures and to differentiate definitions, examples, theorems, remarks, and scratch work in order to aid with organization and the ability to reference material quickly.

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Understanding Linear Algebra

$28.00 - $36.00

WINNER OF THE 2025 SOLOW AWARD FOR BEST UNDERGRADUATE MATHEMATICS TEACHING MATERIALS!

Understanding Linear Algebra is an open textbook designed to support a two-course undergraduate linear algebra sequence. Topics include systems of equations, vector and matrix algebra, span, linear independence, bases, eigenvectors and eigenvalues, orthogonality, least squares, and singular value decompositions.

There are a few features that distinguish it from other linear algebra textbooks. First, it will always be freely available at http://gvsu.edu/s/0Ck in a number of formats, including accessible HTML, PDF, and even braille.

Until recently, linear algebra has mainly lived in the long shadow of calculus with many university linear algebra courses requiring several semesters of calculus as a prerequisite. Given the increasing prominence of linear algebra, Understanding Linear Algebra assumes no familiarity with calculus and, as such, can provide an alternative introduction into university-level mathematics.

Learners are supported as they develop a deep understanding of linear algebraic concepts and their ability to reason mathematically using those concepts. While not intended as an introduction to proofs, the text helps learners to express their thinking clearly and with precision. Following best pedagogical practices, numerous activities are interwoven with exposition to facilitate active learning and can be easily adapted for small group collaboration in a classroom. Each section begins with a preview activity to support a flipped class environment and concludes with numerous exercises of varying depth.

In addition, learners develop computational proficiency through the use of Sage, an open source computer algebra system. The online version of the text contains many embedded "Sage cells" that enable readers to perform computations directly in the book as they are reading. Readers first perform basic algorithms, such as Gaussian elimination and matrix multiplication, by hand but later automate them using Sage. In this way, learners can focus on higher-level linear algebraic thinking and develop their ability to deploy it in more realistic situations.

By introducing many in-depth applications, Understanding Linear Algebra also aims to develop an appreciation for the many significant ways in which linear algebra impacts our society. Examples include the JPEG image compression and Google's PageRank algorithms as well as important data science topics such as k-means clustering, linear regression, principal component analysis, and singular value decompositions. These applications give concrete meaning to many of the abstract algebraic concepts on which they rely, and the use of Sage enables learners to authentically explore them.

Besides the text itself, there is an accompanying workbook that contains the activities and is suitable for in-class use. There are also solution manuals for both the activities and the homework exercises that are available upon request of the author and a community of instructors who share their experiences and resources with one another through a Google Group.

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Intro to Math of Voting Methods

$20.00 - $35.00

WINNER OF THE 2022 CHALKDUST MAGAZINE READER'S CHOICE BOOK OF THE YEAR!

"A credit to this book is that it treats the voting methods in such a fashion that both sorts of readers (those familiar with voting methods and first-timers) will learn a lot from it." Chalkdust Magazine

"If you find yourself wanting to convince students that understanding mathematics is important, consider this book." Emily Olson, Associate Editor, Notices of the American Mathematics Society

"An Introduction to the Math of Voting Methods is a timely and much-needed resource that would be a valuable addition to a multitude of political science courses, including but not limited to: research methods, elections and voting, representation, and even courses on democratic theory." Evan Crawford, Assistant Professor, Political Science and International Relations, University of San Diego

Some modern political discussions are focused on electoral reform and the mechanics of democracy. For instance, Maine and Alaska recently adopted new procedures for statewide elections that involve Ranked Choice Voting, while a similar ballot measure in Massachusetts was only narrowly defeated. Meanwhile, countries all over the world use other voting methods with runoffs or scores. It’s important for people to be aware of how different voting methods work in practice so that we can have productive debates about which to use in various situations.

Accordingly, this book will teach you about a variety of voting methods through concrete examples and clear explanations. Each chapter illustrates a different type of voting method using basic definitions, real-world examples, a list of pros and cons, and detailed practice problems with solutions. No prior mathematical or political knowledge is assumed. In fact, the prose is designed for a wide audience, making this book ideal for a general education mathematics course or anyone else who is curious to learn about different methods of voting.

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Complex Analysis

$35.00 - $46.00

This text, which is also available in HTML and PDF formats at https://complexanalysis.org, was vetted through six editions with Jones and Bartlett publishing. It provides a comprehensive first course in complex analysis to include many applications in science and engineering. Designed to display the beauty of mathematical thinking, it contains a survey of the intricate and controversial history of the evolution of complex numbers. It is written in a way that allows for flexibility in teaching styles, but does not gloss over theoretical notions. There is an interesting section on the Mandelbrot set, as well as sections dealing with applications in a variety of areas.

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Radical Grace

$20.00 - $35.00

"It's a breath of fresh air in educational literature and a must read for educators everywhere." - Mohamed Omar, Mathematician, Author of Graph Theory You Need Before Undergrad Research: in 8 undergrad lectures

"It has been a while since I sat down and read a book cover to cover, but this came today and that's exactly what happened with this one." - Drew Lewis, Mathematician and Education Researcher

In teaching, when do we have instances of grace, or as the dictionary defines it, courteous goodwill? Are those instances going against what we’ve been trained to do when teaching, or against what the norms are of academia? Throughout this book, Drs. Candice Price and Miloš Savić have conversations and essays about how they've learned to believe in radical grace for their students. Going through their own personal stories, they provide reasons for their teaching philosophy.

PLEASE GIVE 1-2 WEEKS FOR SHIPPING

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This is What Maisie Believes

$15.00 - $25.00

"This is What Maisie Believes" is a book that features the voice of Maisie -- a thoughtful, energetic, happy and deeply spiritual little girl. Maisie describes her relationship with God through a series of matter-of-fact and simple declarations. Maisie's understandings about God are incontrovertible, clear and to the point. She is infused with love, joy and acceptance for who she is, who God is, and for her African heritage. Maisie has an incipient sense of racial subjection and its internalization and has a strong belief that people's absorption of God's fundamental precept of love will ameliorate even the most virulent hatred.

This beautifully illustrated book is designed for children aged 6 and up, however its messages of affirmation and God's love will find resonance in people of all ages. Amplifying Maisie's statements are Adinkra symbols -- representations of spiritual and cultural values from the Akan peoples of West Africa.

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M is for Math

$15.00 - $22.00

M is for Math is a mathematical journey through the alphabet for young children (and the young at heart!). The book contains delightful illustrations which make the whimsical sentences come to life. In each sentence, the animal (which is the subject of the sentence), the verb, and the math term begin with the same letter. For example, “the hare hopped happily along the hypotenuse.”

The author wants all children from a young age to realize and appreciate that math is fun, and that there is so much more to math than numbers.

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