Digital library
Textbooks, references and open learning resources.
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Applied Combinatorics
Mitchel T. Keller & William T. Trotter · Georgia Tech & Morningside College
This book arose from our feeling that a text that met our approach to Applied Combinatorics was unavailable. Because of the diverse set of instructors assigned to the course, the standard text was one that covered every topic imaginable, but provided little depth. We took a different approach, attacking the central subjects of the course description to provide exposure, but taking the time to go into greater depth in select areas to give the students a better feel for how combinatorics works.
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Mathematics for Elementary Teachers
Michelle Manes · University of Hawaii
In the contents: 1.06: Careful Use of Language in Mathematics · 5.03: Careful Use of Language in Mathematics-
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Seven Sketches in Compositionality: An Invitation to Applied Category Theory
Brendan Fong & David I. Spivak · Massachusetts Institute of Technology
Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. But this same organizational framework also has many compelling examples outside of pure math. In this text, we will give seven sketches on real-world applications of category theory.
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Numerical Methods
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
These notes, taught at the Hong Kong University of Science and Technology with two lecture hours per week, are primarily for non-mathematics majors and were required by several engineering departments.
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MATH 110: Techniques of Calculus I
Debbie Gaydos · Penn State University, Greater Allegeheny
In the contents: 2.09: Applied Optimization
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Business Calculus with Excel
Mike May, S.J. & Anneke Bart · Saint Louis University
This text is intended for a one semester calculus course for business students with the equivalent of a college algebra prerequisite. Rather than being a three-semester engineering calculus course that has been watered down to fit into one semester it is designed for the business students.
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Algebra in Cuneiform
Jens Høyrup · Roskilde University
In the contents: 1.01: Useless mathematics
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Introduction to Game Theory: a Discovery Approach
Jennifer A. Firkins Nordstrom · Linfield College
Many colleges offer courses in quantitative reasoning for all students. One model for a quantitative reasoning course is to provide students with a single cohesive topic. Ideally, such a topic can pique the curiosity of students with wide ranging academic interests and limited mathematical background. This text is intended for use in such a course. This text may also be appropriate for a high school enrichment course.
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Applied Discrete Structures
Al Doerr & Ken Levasseur · University of Massachusetts Lowell
Applied Discrete Structures is designed for use in a university course in discrete mathematics spanning up to two semesters. Its original design was for computer science majors to be introduced to the mathematical topics that are useful in computer science. It can also serve the same purpose for mathematics majors, providing a first exposure to many essential topics.
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Thermodynamics and Introduction to Quantum Mechanics
Cathrine Southern · DePaul University
In the contents: 10: Appendix- Mathematics for Physical Chemistry
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Quantway Core
Carnegie Math Pathways · WestEd
Quantway Core provides a one-term introductory quantitative reasoning course solution that builds algebraic and quantitative skills and reasoning. It is designed to replace the developmental sequence and can also be used to fulfill high school and technical college program math requirements.
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Calculus
Gilbert Strang & Edwin Herman · MIT & University of Wisconsin-Stevens Point
In the contents: 4.08: Applied Optimization Problems
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MAT 2410: Calculus (Open Stax)
Jaison Novick · Prince George's Community College
In the contents: 4.08: Applied Optimization Problems
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ENVS C100: Environmental Science
Tanya Hoerer · Coastline College
In the contents: 1.2.04: Basic and Applied Science · 1.03: Math Blast- An Overview of Essential Mathematics Used in Science · 2.6.04: Applied Systems Toxicology
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Elementary Algebra
Wade Ellis & Denny Burzynski · LibreTexts
In the contents: 12.04: The 5-Step Method of Solving Applied Problems
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Calculus I: Differential Calculus
Doli Bambhania, Rani Fischer, Lisa Mesh & Danny Tran · De Anza College
In the contents: 4.08: Applied Optimization Problems
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Math 140: Calculus 1
Debbie Gaydos · Penn State University, Greater Allegheny
In the contents: 4.05: Applied Optimization Problems
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MAT 2410: Calculus 1
Peggy Beck · Prince George's Community College
In the contents: 4.08: Applied Optimization Problems
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Calculus
Eric Hutchinson · College of Southern Nevada
In the contents: 4.06: Applied Optimization Problems
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Building Maintenance & Construction - Tools and Maintenance Tasks
Clifford Rutherford · University of Hawaiʻi Maui College
In the contents: 03: Mathematics for Maintenance Techs