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Linear Algebra

Contributors: Cherney, Denton, and Waldon

Publisher: University of California, Davis

License: CC BY-NC-SA

We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.

(2 reviews)

A Computational Introduction to Number Theory and Algebra

Contributor: Shoup

Publisher: Cambridge University Press

License: CC BY-NC-ND

All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while the applications both motivate and illustrate the mathematics. Of course, this dichotomy between theory and applications is not perfectly maintained: the chapters that focus mainly on applications include the development of some of the mathematics that is specific to a particular application, and very occasionally, some of the chapters that focus mainly on mathematics include a discussion of related algorithmic ideas as well.

(3 reviews)

Elementary Differential Equations with Boundary Value Problems

Contributor: Trench

Publisher: A.T. Still University

License: CC BY-NC-SA

Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.

(9 reviews)

Open Data Structures: An Introduction

Contributor: Morin

Publisher: Athabasca University Press

License: CC BY-NC-ND

Offered as an introduction to the field of data structures and algorithms, Open Data Structures covers the implementation and analysis of data structures for sequences (lists), queues, priority queues, unordered dictionaries, ordered dictionaries, and graphs. Focusing on a mathematically rigorous approach that is fast, practical, and efficient, Morin clearly and briskly presents instruction along with source code.

(3 reviews)

Anatomy and Physiology 2e - 2e

Contributors: Betts, Young, and Wise

Publisher: OpenStax

License: CC BY

Anatomy and Physiology 2e is developed to meet the scope and sequence for a two-semester human anatomy and physiology course for life science and allied health majors. The book is organized by body systems. The revision focuses on inclusive and equitable instruction and includes new student support. Illustrations have been extensively revised to be clearer and more inclusive. The web-based version of Anatomy and Physiology 2e also features links to surgical videos, histology, and interactive diagrams. Please learn more about the changes by previewing the preface.

(80 reviews)

Applied Discrete Structures

Contributors: Doerr and Levasseur

Publisher: Alan Doerr & Kenneth Levasseur

License: CC BY-NC-SA

In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach andmove them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked.

(3 reviews)

The Adventure of Physics - Vol. VI: The Strand Model - A Speculation on Unification

Contributor: Schiller

Publisher: Motion Mountain

License: CC BY-NC-ND

This book is written for anybody who is intensely curious about nature and motion. Have you ever asked: Why do people, animals, things, images and empty space move? The answer leads to many adventures, and this book presents one of the best of them: the search for a precise, unified and final description of all motion.

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(0 reviews)

Algorithms and Data Structures With Applications to Graphics and Geometry

Contributors: Nievergelt and Hinrichs

Publisher: Global Text Project

License: CC BY

An introductory coverage of algorithms and data structures with application to graphics and geometry.

(1 review)

Programming Fundamentals - A Modular Structured Approach using C++

Contributor: Busbee

Publisher: OpenStax CNX

License: CC BY

Programming Fundamentals - A Modular Structured Approach using C++ is written by Kenneth Leroy Busbee, a faculty member at Houston Community College in Houston, Texas. The materials used in this textbook/collection were developed by the author and others as independent modules for publication within the Connexions environment. Programming fundamentals are often divided into three college courses: Modular/Structured, Object Oriented and Data Structures. This textbook/collection covers the first of those three courses.

(8 reviews)

Understanding Media and Culture: An Introduction to Mass Communication

Publisher: University of Minnesota Libraries Publishing

License: CC BY-NC-SA

According to the author, the world did not need another introductory text in mass communication. But the world did need another kind of introductory text in mass communication, and that is how Understanding Media and Culture: An Introduction to Mass Communication was birthed.

(31 reviews)