Digital library
Textbooks, references and open learning resources.
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Variational Principles in Classical Mechanics
Douglas Cline · University of Rochester
In the contents: 2.12: Applications of Newton's Equations of Motion · 2.13: Solution of many-body equations of motion · 5.02: Eulers Differential Equation
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FHC_Interactive_Calculus_1A
Jennifer Sinclair · Foothill College
In the contents: 4.02: Linear Approximations and Differentials · 05: Parametric Equations and Polar Coordinates · 5.00: Prelude to Parametric Equations and Polar Coordinates
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Introduction to Quantum Mechanics
Kristie Koski · University of California, Davis
In the contents: 2.3: Oscillatory Solutions to Differential Equations · 8.03: Hartree-Fock Equations are Solved by the Self-Consistent Field Method
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All Things Flow - Fluid Mechanics for the Natural Sciences
Bill Smyth · Oregon State University
In the contents: 2.03: Systems of linear equations · 6.07: Equations of state · 6.09: Summary- the equations of motion
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Math 401: Calculus II - Integral Calculus
Roy Simpson · Cosumnes River College
In the contents: 05: Parametric Equations and Polar Coordinates · 5.01: Parametric Equations · 06: Introduction to Differential Equations
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CHM 312: Physical Chemistry II
Anderson Marsh · Lebanon Valley College
In the contents: 01: Gases and Equations of State · 1.12: Connecting the van der Waals and the viral equations- the Boyle temperature · 1.17: The Total Differential
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Linear Algebra (Math 3A UCI)
Kenn Huber · University of California Irvine
In the contents: 01: Systems of Linear Equations · 1.01: Systems of Linear Equations · 1.3.02: Vector Equations and Spans
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Quantitative Ecology - A New Unified Approach
Clarence Lehman, Shelby Loberg, & Adam Clark · University of Minnesota
In the contents: 05: Differential and Difference Forms · 15.03: The SIR Equations · 15.04: The SI Equations
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Calculus
Gilbert Strang & Edwin Herman · MIT & University of Wisconsin-Stevens Point
In the contents: 4.02: Linear Approximations and Differentials · 08: Introduction to Differential Equations · 8.00: Prelude to Differential Equations
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Calculus
David Guichard · Whitman College
In the contents: 10: Polar Coordinates and Parametric Equations · 10.04: Parametric Equations · 10.05: Calculus with Parametric Equations
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Classical Mechanics
Jeremy Tatum · University of Victoria
In the contents: 4.04: Lagrange's Equations of Motion · 4.05: Euler's Equations of Motion · 11.04: Ordinary Homogeneous Second-order Differential Equations
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Mission College MAT 003B
Benjamin Fineman · Mission College
In the contents: 04: Introduction to Differential Equations · 4.01: Basics of Differential Equations · 4.02: Separable Equations
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CHM 363: Physical Chemistry 1
Elaine Marzluff · Grinnell College
In the contents: 4.03: van der Waals and Redlich-Kwong Equations of State · 6.04: State Functions and Exact Differentials
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Quantum Chemistry
Pacific Union College
In the contents: 2.03: Oscillatory Solutions to Differential Equations · 8.03: Hartree-Fock Equations are Solved by the Self-Consistent Field Method · 15.02: The Dynamics of Transitions can be Modeled by Rate Equations
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CLP-2 Integral Calculus
Joel Feldman, Andrew Rechnitzer & Elyse Yeager · University of British Columbia
In the contents: 2.04: Separable Differential Equations
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Conceptual Physics
Benjamin Crowell · Fullerton College
In the contents: 2.11.07: Gauss' Law In Differential Form · 2.12.04: Ampere's Law In Differential Form (Optional) · 2.12.06: Maxwell's Equations
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Active Calculus
Matthew Boelkins, David Austin & Steven Schlicker · Grand Valley State University
In the contents: 07: Differential Equations · 7.01: An Introduction to Differential Equations · 7.02: Qualitative Behavior of Solutions to Differential Equations
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Physical Modeling in MATLAB
Allen B. Downey · Olin College
In the contents: 7.01: Solving Nonlinear Equations · 09: Ordinary Differential Equations · 9.02: Differential Equations
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Math C185: Calculus II
Michael Everett · Coastline College
In the contents: 05: Introduction to Differential Equations · 5.01: Prelude to Differential Equations · 5.02: Basics of Differential Equations
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Introductory Quantum Mechanics
Richard Fitzpatrick · University of Texas at Austin
This book is intendedas an introductory course on non-relativistic quantum mechanics. Readers need to be reasonably familiar with Newtonian dynamics, elementary classical electromagnetism and special relativity, the physics and mathematics of waves (including the representation of waves via complex functions), basic probability theory, ordinary and partial differential equations, linear algebra, vector algebra, and Fourier series and transforms.