Digital library
Textbooks, references and open learning resources.
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Elementary College Geometry
Henry Africk · CUNY New York City College of Technology
This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems.
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First Semester Calculus (Westphal, adapted from Open Stax)
Karla Westphal · Saddleback College
This text is a first semester calculus text adapted from the OpenStax Calculus 1 text. Some of the material has been re-ordered; the primary change is that derivatives of exponential and log functions are covered earlier in chapter 3 than they were in the OpenStax text.
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Prealgebra
OpenStax · LibreTexts
Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces 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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Math 372: College Algebra for Calculus
Roy Simpson · Cosumnes River College
In the contents: 10: Appendix - The Language of Mathematics
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Friendly Introduction to Mathematical Logic
Christopher Leary & Lars Kristiansen · SUNY Geneseo & University of Oslo
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary’s user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study.
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Differential Equations for Engineers
Jiří Lebl · Oklahoma State University
A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence.
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Complex Analysis - A Visual and Interactive Introduction
Juan Carlos Ponce Campuzano · University of Queensland
The study of complex analysis is important for students in engineering and the physical sciences and is a central subject in mathematics. In addition to being mathematically elegant, complex analysis provides powerful tools for solving problems that are either very difcult or virtually impossible to solve in any other way. In this book you will find examples, problems and applets that allow you to explore complex analysis by using the visual interactive power of the computer (or tablet).
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Interactive Linear Algebra
Dan Margalit & Joseph Rabinoff · Georgia Institute of Technology
The name of the textbook highlights an important theme: the synthesis between algebra and geometry. It will be very important to us to understand systems of linear equations both algebraically (writing equations for their solutions) and geometrically (drawing pictures and visualizing).
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Math 373: Trigonometry for Calculus
Roy Simpson · Cosumnes River College
In the contents: 10: The Language of Mathematics
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Introduction to Partial Differential Equations
Russell Herman · University of North Carolina Wilmington
This is a self-published text book with excellent coverage and solid mathematics and theory to support applications. Each chapter is rich in applications, described in good detail and fine exercises which involve solution techniques, but many applications and variations. There are many applications of second order differential equations with complete and thorough discussion of damping, eigenvalues, and characteristic equation.
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Mathematical Reasoning - Writing and Proof
Ted Sundstrom · Grand Valley State University
In the contents: 01: Introduction to Writing Proofs in Mathematics · 1.S: Introduction to Writing Proofs in Mathematics (Summary) · 03: Constructing and Writing Proofs in Mathematics
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Math 15E - Concurrent Support for Quantitative Reasoning
LibreTexts
Topics from intermediate algebra and geometry are covered to build a foundation for college-level quantitative reasoning. Strategic reading, critical thinking and problem solving are incorporated to build the strategies needed to solve contextualized problems. Topics in the area of study skills and metacognition are also included to support students in a college level math course.
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Math 111: College Algebra
Highline College
This texts address applications of functions (linear, quadratic, exponential and logarithmic) in business and social sciences, including total cost revenue and profit; break-even analysis; supply/demand and market equilibrium; exponential growth and decay; fitting curves to data with graphing utilities; theory of matrices; graphical methods for optimization (linear programming problems); and mathematics of finance (arithmetic and geometric sequences and sums).
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Algebra and Trigonometry
Jay Abramson · Arizona State University
Algebra is the study of mathematical symbols and the rules for manipulating these symbols. It is a unifying thread of almost all of mathematics. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.
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Prealgebra
OpenStax · LibreTexts
Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces 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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STAT 300: Introduction to Probability and Statistics
Nam Lam · Consumes River College
This course is an introduction to probability and statistics. Topics include: elementary principles and applications of descriptive statistics, elementary probability principles, probability distributions, estimation of parameters, hypothesis testing, linear regression and correlation, and ANOVA. Scientific calculators with two-variable statistics capabilities may be required.
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Corequisite Precalculus
Katherine Skelton · Highline College
This course includes, but not limited to piece-wise, composite, inverse, polynomial, rational, exponential, and logarithmic functions. Also discussed are properties of functions, their relationship to equations and inequalities, as well as applications, and circles.
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Applied Calculus
Shana Calaway, Dale Hoffman, & David Lippman · LibreTexts
Page notifications On picture_as_pdf Readability Cite this page An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.
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The Calculus of Functions of Several Variables
Dan Sloughter · Furman University
This textbook corresponds with a 300-level mathematics course taught at Furman University. Students should have completed four semesters of college level calculus prior to attempting this course.
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MCC: MTH 220 - Discrete Math
Judy Dean · Monroe Community College
In the contents: 1: Introduction to Discrete Mathematics · 1.1: An Overview of Discrete Mathematics · 1.3: How to Read and Write Mathematics