Digital library
Textbooks, references and open learning resources.
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Free Energy 1e (Snee)
Preston Snee · University of Illinois Chicago
What is the role of mathematics in Chemistry? We use math to reveal relationships that exist in nature that cannot be determined by any other reasonable means. Often Physical Chemistry is the last stop on the way to your degree, and you probably put this class off till last due to an irrational fear of mathematics. And while it may be true that calculus derivations are not your “thing”, if you’re good at this, you might get a better, higher paying job. So, it’s worth the effort.
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Scientific Computing
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
These notes for Scientific Computing is primarily for Math majors and supposes no previous knowledge of numerical analysis or methods. This course consists of both numerical methods and computational physics. The numerical methods content includes standard topics such as IEEE arithmetic, root finding, linear algebra, interpolation and least-squares, integration, differentiation, and differential equations.
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A Second Course in Ordinary Differential Equations: Dynamical Systems and Boundary Value Problems
Russell Herman · University of North Carolina Wilmington
These are notes for a second course in differential equations, covering linear and nonlinear systems and boundary value problems.
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College Algebra and Trigonometry- Expressions, Equations, and Graphs
Holly Carley and Ariane Masuda · New York City College of Technology
This page is under construction. The thumbnail was courtesy of https://www.freepnglogos.com/pics/under-construction. This is a work in early stages which is a reworking of College Algebra with Trigonometry. It is intended to differ in treatment from other texts on the subject.
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Combinatorics Through Guided Discovery
Kenneth P. Bogart · Dartmouth University
In the contents: 2.01: Some Examples of Mathematical Introduction
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Elementary Number Theory
Wissam Raji · American University of Beirut
In the contents: 1.02: The Well Ordering Principle and Mathematical Induction
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MTH 60: Algebra 1
Math Department · Clackamas Community College
This course develops core algebra skills, beginning with number sense and operations with variables, then advancing to solving equations and inequalities, interpreting and creating graphs, and working with systems of equations. Emphasis is placed on understanding relationships between quantities, modeling real-world situations, and applying logical, step-by-step problem-solving strategies.
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MA148: Calculus with Applications
Benjamin Bunck · Butler Community College
MA148 - Calculus with Applications. This course will enable the student to differentiate and integrate algebraic, logarithmic and exponential functions and apply those concepts to real-world business and social-science applications, including marginal analysis. This content is a remix of the Applied Calculus text by Calaway, Hoffman, and Lippman. The primary change to the LibreText edition has been to separate the "chapter" exercise sets into smaller exercise sets for each individual section.
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MAT 04A: Multivariable Calculus (Reed)
Robert Reed · Mission College
LibreTexts
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Introductory Statistics
Barbara Illowsky & Susan Dean · De Anza College
This text follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.
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Polynomial Interpolations on Time Scales
Svetlin G. Georgiev · Sorbonne University
Polynomial interpolation is a very useful tool employed in many areas of science in which a given set of data needs to be represented by a function, in particular, by a polynomial taking the given values at the points of the given data set.
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Elementary Algebra
Wade Ellis & Denny Burzynski · LibreTexts
In the contents: 5.05: Application I - Translating from Verbal to Mathematical Expressions
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Applied Probability
Paul Pfeiffer · Rice University
In the contents: 11: Mathematical Expectation · 11.01: Mathematical Expectation- Simple Random Variables · 11.02: Mathematical Expectation and General Random Variables
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Riemann-Stieltjes Integration on Time Scales
Svetlin G. Georgiev · Sorbonne University
S. Hilger introduced in 1990 the calculus on time scales or on measure chains.This kind of calculus showed the possibility to manage dynamic equations considering a very wide range of time scales transforming in this way the differential and difference calculus into special cases of a more general one. Examples of time scales are the real numbers, the integers, the sets having cluster points or even such as the Cantor set. In this cycle we study the process of Riemann-Stieltjes delta integrati
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CLP-3 Multivariable Calculus
Joel Feldman, Andrew Rechnitzer, & Elyse Yeager · University of British Columbia
This textbook covers multivariable Calculus. There are chapters on vectors and geometry in 2 and 3 dimensions, partial derivatives, and multivariable integrals.
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MAT 2410: Calculus 1
Peggy Beck · Prince George's Community College
This texts address a three-semester sequence of university-level calculus for a variety of majors including, but not exclusive to, science, engineering, and mathematics. It provides an introduction to single variable calculus; study of limits, continuity, differentiation and its applications, definite and indefinite integrals and the Fundamental Theorem of Calculus.
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Real Analysis
Eugene Boman & Robert Rogers · Pennsylvania State University & SUNY Fredonia
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.
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APEX PreCalculus
Amy Givler Chapman, Meagan Herald, Jessica Libertini · Virginia Military Institute
This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses.
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An Introduction to Proof via Inquiry-Based Learning
Dana Ernst · Northern Arizona University
This book is intended to be used for a one-semester/quarter introduction to proof course (sometimes referred to as a transition to proof course). The purpose of this book is to introduce the reader to the process of constructing and writing formal and rigorous mathematical proofs. The intended audience is mathematics majors and minors. However, this book is also appropriate for anyone curious about mathematics and writing proofs.
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MAT 1350: Precalculus Part I
Jay Abramson · Prince George's Community College
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.