Digital library
Textbooks, references and open learning resources.
External
Mathematical Reasoning
Pamini Thangarajah · Mount Royal University
In the contents: 3.4: Finite Difference Calculus
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Math, Numerics, and Programming (for Mechanical Engineers)
Masayuki Yano, James Douglass Penn, George Konidaris, & Anthony T Patera · Massachusetts Institute of Technology
In the contents: 01: Unit I - (Numerical) Calculus. Elementary Programming Concepts
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Direct Energy
Andrea M. Mitofsky · Trine University
In the contents: 11: Calculus of Variations
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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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EGR 1010: Introduction to Engineering for Engineers and Scientists
LibreTexts
In the contents: 14.06: Calculus · 14.07: Infinitesimal calculus for derivatives · 14.08: Infinitesimal Calculus for integration
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Introduction to Economic Analysis
Anonymous · LibreTexts
This book presents standard intermediate microeconomics material and some material that, in the authors' view, ought to be standard but is not. Introductory economics material is integrated. Standard mathematical tools, including calculus, are used throughout. The book easily serves as an intermediate microeconomics text, and can be used for a relatively sophisticated undergraduate who has not taken a basic university course in economics.
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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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Undergraduate Diagnostic Imaging Fundamentals
Brent Burbridge and Evan Mah · University of Saskatchewan
In the contents: 16.01: Urinary Tract 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