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Precalculus: An Investigation of Functions

Contributors: Lippman and Rasmussen

Publisher: David Lippman and Melonie Rasmussen

License: CC BY-SA

Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.

(8 reviews)

Sustainability: A Comprehensive Foundation

Contributors: Theis and Tomkin

Publisher: OpenStax CNX

License: CC BY

With “Sustainability: A Comprehensive Foundation”, first and second-year college students are introduced to this expanding new field, comprehensively exploring the essential concepts from every branch of knowledge – including engineering and the applied arts, natural and social sciences, and the humanities. As sustainability is a multi-disciplinary area of study, the text is the product of multiple authors drawn from the diverse faculty of the University of Illinois: each chapter is written by a recognized expert in the field.

(27 reviews)

Basic Analysis: Introduction to Real Analysis

Contributor: Lebl

Publisher: Jirí Lebl

License: CC BY-NC-SA

This free online textbook (e-book in webspeak) is a one semester course in basic analysis. This book started its life as my lecture notes for Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in the fall semester of 2009, and was later enhanced to teach Math 521 at University of Wisconsin-Madison (UW-Madison). A prerequisite for the course is a basic proof course. It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school, but also as a first semester of a more advanced course that also covers topics such as metric spaces.

(3 reviews)

Calculus for the Life Sciences: A Modeling Approach Volume 1

Contributors: Cornette and Ackerman

Publisher: A.T. Still University

License: CC BY-NC-ND

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

(1 review)

Vector Calculus

Contributor: Corral

Publisher: Michael Corral

License: Free Documentation License (GNU)

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

(1 review)

Fundamentals of Compressible Flow Mechanics

Contributor: Bar-Meir

Publisher: Potto Project

License: Free Documentation License (GNU)

This book deals with an introduction to the flow of compressible substances (gases). The main difference between compressible flow and almost incompressible flow is not the fact that compressibility has to be considered. Rather, the difference is in two phenomena that do not exist in incompressible flow. The first phenomenon is the very sharp discontinuity (jump) in the flow in properties. The second phenomenon is the choking of the flow. Choking is when downstream variations don't effect the flow. Though choking occurs in certain pipe flows in astronomy, there also are situations of choking in general (external) flow.

(2 reviews)

Basics of Fluid Mechanics - ver. 0.5.2

Contributor: Bar-Meir

Publisher: Potto Project

License: Free Documentation License (GNU)

The topic of fluid mechanics is common to several disciplines: mechanical engineering, aerospace engineering, chemical engineering, and civil engineering. In fact, it is also related to disciplines like industrial engineering, and electrical engineering. While the emphasis is somewhat different in this book, the common material is presented and hopefully can be used by all. One can only admire the wonderful advances done by the previous geniuses who work in this field. In this book it is hoped to insert, what and when a certain model is suitable than other models.

(8 reviews)

The Little Book of Semaphores

Contributor: Downey

Publisher: Green Tea Press

License: CC BY-NC-SA

The Little Book of Semaphores is a free (in both senses of the word) textbook that introduces the principles of synchronization for concurrent programming.

(3 reviews)

Physical Modeling in MATLAB

Contributor: Downey

Publisher: Green Tea Press

License: Free Documentation License (GNU)

Most books that use MATLAB are aimed at readers who know how to program. This book is for people who have never programmed before. As a result, the order of presentation is unusual. The book starts with scalar values and works up to vectors and matrices very gradually. This approach is good for beginning programmers, because it is hard to understand composite objects until you understand basic programming semantics. But there are problems:

(9 reviews)

How to Think Like a Computer Scientist: Learning with Python

Contributors: Downey, Elkner, and Meyers

Publisher: Green Tea Press

License: CC BY

How to Think Like a Computer Scientist: Learning with Python is an introduction to programming using Python.

(8 reviews)