Digital library
Textbooks, references and open learning resources.
External
Scientific Computing
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
In the contents: II: Dynamical Systems and Chaos · 12: Concepts and Tools
External
Scientific Computing
Peter Staab · Fitchburg State University
In the contents: 01: Introduction to Scientific Computing · 1.01: Examples of Scientific Computing · 1.02: Modeling
External
Introduction to the Modeling and Analysis of Complex Systems
Hiroki Sayama · Binghamton University, State University of New York
In the contents: 01: Introduction to Modeling and Analysis · 02: Fundamentals of Modeling · 2.01: Models in Science and Engineering
External
Physical Modeling in MATLAB
Allen B. Downey · Olin College
In the contents: 01: Modeling and Simulation · 1.01: Modeling · 2.07: Assignment and Equality
External
Numerical Methods in Scientific Computing
Jos van Kan; Guus Segal; Fred Vermolen · TU Delft Open · 2023
This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. Their aim is to show the place of numerical solutions in the general modeling process and this must inevitably lead to considerations about modeling itself. Partial differential equations usually are a consequence of applying first principles to a technical or physical problem at hand. That means, that most of the time the physics also have to be taken into account especially for validation of the numerical solution obtained. This book aims especially at engineers and scientists who have ’real world’ problems. It will concern itself less with pesky mathematical detail. For the interested reader though, we have included sections on mathematical theory to provide the necessary mathematical background. Since this treatment had to be on the superficial side we have provided further reference to the literature where necessary.
External
Notes on Diffy Qs: Differential Equations for Engineers
Jirí Lebl · Jirí Lebl · 2014
A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence. This free online book (e-book in webspeak) should be usable as a stand-alone textbook or as a companion to a course using another book such as Edwards and Penney, Differential Equations and Boundary Value Problems: Computing and Modeling or Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems (section correspondence to these two is given). I developed and used these notes to teach Math 286/285 at the University of Illinois at Urbana-Champaign Sample Dirichlet problem solution (one is a 4-day-a-week, the other a 3-day-a-week semester-long course). I have also taught Math 20D at University of California, San Diego with these notes (a 3-day-a-week quarter-long course). There is enough material to run a 2-quarter course, and even perhaps a two semester course depending on lecturer speed.
External
Calculus I Notes
Kevin Palencia · Northern Illinois University
In the contents: 01: Limits and Continuity · 2.09: Derivatives of Exponential and Logarithmic Functions · 3.04: Maxima and Minima
External
Computational Cognitive Neuroscience
O'Reilly, Munakata, Hazy & Frank · University of Colorado Boulder & Brown University
In the contents: 2.03: Dynamics of Integration- Excitation vs. Inhibition and Leak · 2.04: Computing Activation Output · 3.03: Categorization and Distributed Representations
External
Mathematics for the Liberal Arts
Lumen Learning
In the contents: 6.02: Perimeter and Area · 6.08: Topology Tiling and Non-Euclidean Geometry · 8.01: F1.01 Beginning and Example 3
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Quantway College with Corequisite
Carnegie Math Pathways · WestEd
In the contents: 1.04: Computing and Interpreting Percentages · 2.05: Modeling a New Type of Growth · 3.01: Interpreting Charts and Graphs
External
Active Calculus
Matthew Boelkins, David Austin & Steven Schlicker · Grand Valley State University
In the contents: 01: Understanding the Derivative · 1.05: Interpretating Estimating and Using the Derivative · 1.07: Limits Continuity and Differentiability
External
Statistical Thinking for the 21st Century
Russell A. Poldrack · Stanford University
In the contents: 1.05: Causality and Statistics · 3.11: Suggested Readings and Videos · 5.04: Looking at Individual Variables Using Pull() and Head()