Digital library
Textbooks, references and open learning resources.
External
A First Course in Differential Equations for Scientists and Engineers
Russell Herman · University of North Carolina Wilmington
In the contents: 08: Appendix Calculus Review
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Introductory Physics: Building Models to Describe Our World
Ryan D. Martin, Emma Neary, Joshua Rinaldo, and Olivia Woodman · Queen's University
In the contents: 3.03: Using Calculus to Describe Motion · 17.04: Interpretation of Gauss Law and vector calculus · 26: Calculus
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A Notebook for Topics in Thermodynamics of Solutions and Liquid Mixtures
Michael J Blandamer & Joao Carlos R Reis · University of Leicester & Faculdade de Ciencias
In the contents: 1.14.08: Calculus
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Complex Variables with Applications
Jeremy Orloff · Massachusetts Institute of Technology
In the contents: 03: Multivariable Calculus (Review)
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FCC DS 21 Finite Mathematics - Spring 2023
JoEllen Green · Fresno City College
In the contents: 05: Introduction to Calculus · 5.01: Prelude to Calculus · 5.E: Introduction to Calculus (Exercises)
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Elementary Foundations: An Introduction to Topics in Discrete Mathematics
Jeremy Sylvestre · University of Alberta Augustana
In the contents: 2.02: Propositional Calculus
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Mathematical Reasoning
Pamini Thangarajah · Mount Royal University
In the contents: 3.4: Finite Difference Calculus
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Waves: An Interactive Tutorial
Kyle Forinash and Wolfgang Christian · LibreTexts
This is a set of interactive tutorials designed to teach the fundamentals of wave dynamics. It starts with very simple wave properties and ends with an examination of nonlinear wave behavior. The emphasis here is on the properties of waves which are difficult to illustrate in a static textbook figure. The tutorial may be used in conjunction with a text or as a stand alone introduction to waves. Exposure to calculus and basic physics is assumed in the latter sections.
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Mathematical Methods in Chemistry
Marcia Levitus · Arizona State University
In the contents: 08: Calculus in More than One Variable
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Graduate Classical Mechanics
Michael Fowler · University of Virginia
In the contents: 02: The Calculus of Variations · 2.07: Calculus of Variations with Many Variables · 4.02: Derivation of Hamiltons Principle from Newtons Laws in Cartesian Co-ordinates- Calculus of Variations Done Backwards
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Special Relativity
Benjamin Crowell · Fullerton College
This a textbook on special relativity, aimed at undergraduates who have already completed a freshman survey course. The treatment of electromagnetism assumes previous exposure to Maxwell's equations in integral form, but no knowledge of vector calculus.
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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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Introduction to Real Analysis
William F. Trench · Trinity University
In the contents: 02: Differential Calculus of Functions of One Variable · 03: Integral Calculus of Functions of One Variable
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Mathematical Analysis
Elias Zakon · University of Windsor
In the contents: 09: Calculus Using Lebesgue Theory