# Mathematics

## A Primer of Real Analysis

Dan Sloughter, Furman University

This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers.

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(0 reviews)

## Euclidean plane and its relatives

Anton Petrunin, Penn State

This book is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalistic.

(2 reviews)

## Elementary Algebra

Lynn Marecek, Santa Ana College

MaryAnne Anthony-Smith, Santa Ana College

*Elementary Algebra* is designed to meet the scope and sequence requirements of a one-semester elementary algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.

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## My Math GPS: Elementary Algebra Guided Problem Solving (2016 Edition)

Jonathan Cornick, Queensborough Community College

Michael Guy, Queensborough Community College

Karan Puri

*My Math GPS: Elementary Algebra Guided Problem Solving* is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.

(1 review)

## Statistical Inference For Everyone

Brian Blais, Bryant University

This is a new approach to an introductory statistical inference textbook, motivated by probability theory as logic. It is targeted to the typical Statistics 101 college student, and covers the topics typically covered in the first semester of such a course. It is freely available under the Creative Commons License, and includes a software library in Python for making some of the calculations and visualizations easier.

(2 reviews)

## Introductory Business Statistics with Interactive Spreadsheets – 1st Canadian Edition

Mohammad Mahbobi, Thompson Rivers University

Thomas K. Tiemann, Elon University

*Introductory Business Statistics with Interactive Spreadsheets – 1st Canadian Edition *is an adaptation of Thomas K. Tiemann's book, *Introductory Business Statistics*. This new edition still contains the basic ideas behind statistics, such as populations, samples, the difference between data and information, and sampling distributions as well as information on descriptive statistics and frequency distributions, normal and t-distributions, hypothesis testing, t-tests, f-tests, analysis of variance, non-parametric tests, and regression basics. New topics include the chi-square test and categorical variables, null and alternative hypotheses for the test of independence, simple linear regression model, least squares method, coefficient of determination, confidence interval for the average of the dependent variable, and prediction interval for a specific value of the dependent variable.

(1 review)

## Calculus: Early Transcendentals

David Guichard, Whitman College

*Calculus: Early Transcendentals*, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses.

(6 reviews)

## Discrete Mathematics: An Open Introduction, 3rd Edition

Oscar Levin, University of Northern Colorado

*Discrete Mathematics: An Open Introduction *is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions.

(2 reviews)

## Proofs and Concepts: The Fundamentals of Abstract Mathematics

Dave Witte Morris, University of Lethbridge

Joy Morris, University of Lethbridge

This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.

(3 reviews)

## Applied Finite Mathematics

Rupinder Sekhon, De Anza College Cupertino

*Applied Finite Mathematics *covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.

(2 reviews)