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A Gentle Introduction to the Art of Mathematics
Copyright Year: 2015
Contributor: Fields
Publisher: A.T. Still University
License: Free Documentation License (GNU)
This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.
(2 reviews)
A Computational Introduction to Number Theory and Algebra
Copyright Year: 2009
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)
How We Got from There to Here: A Story of Real Analysis
Copyright Year: 2014
Contributors: Rogers and Boman
Publisher: Open SUNY
License: CC BY-NC-SA
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.
(3 reviews)
Guidelines for Improving the Effectiveness of Boards of Directors of Nonprofit Organizations
Copyright Year: 2014
Contributors: Harrison and Murray
Publisher: Open SUNY
License: CC BY-NC-SA
The purpose of this book is to help boards of directors of nonprofit organizations improve their performance after completing the online board self-assessment tool found at www.boardcheckup.com. However, it can also be used as a stand-alone resource for any board seeking to enhance its effectiveness in that it also contains the diagnostic questions on which the online tool is based.
(6 reviews)
The Missing Link: An Introduction to Web Development and Programming
Copyright Year: 2014
Contributor: Mendez
Publisher: Open SUNY
License: CC BY-NC-SA
Web development is an evolving amalgamation of languages that work in concert to receive, modify, and deliver information between parties using the Internet as a mechanism of delivery. While it is easy to describe conceptually, implementation is accompanied by an overwhelming variety of languages, platforms, templates, frameworks, guidelines, and standards. Navigating a project from concept to completion often requires more than mastery of one or two complementing languages, meaning today's developers need both breadth, and depth, of knowledge to be effective.
(8 reviews)
Literature, the Humanities, and Humanity
Copyright Year: 2014
Contributor: Steinberg
Publisher: Open SUNY
License: CC BY-NC-SA
Literature, the Humanities, and Humanity attempts to make the study of literature more than simply another school subject that students have to take. At a time when all subjects seem to be valued only for their testability, this book tries to show the value of reading and studying literature, even earlier literature. It shows students, some of whom will themselves become teachers, that literature actually has something to say to them. Furthermore, it shows that literature is meant to be enjoyed, that, as the Roman poet Horace (and his Renaissance disciple Sir Philip Sidney) said, the functions of literature are to teach and to delight. The book will also be useful to teachers who want to convey their passion for literature to their students. After an introductory chapter that offers advice on how to read (and teach) literature, the book consists of a series of chapters that examine individual literary works ranging from The Iliad to Charles Dickens' Bleak House. These chapters can not substitute for reading the actual works. Rather they are intended to help students read those works. They are attempts to demystify the act of reading and to show that these works, whether they are nearly three thousand or less than two hundred years old, still have important things to say to contemporary readers.
(12 reviews)
Linear Algebra, Theory And Applications
Copyright Year: 2012
Contributor: Kuttler
Publisher: Saylor Foundation
License: CC BY-SA
This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however.
(2 reviews)
Abstract Algebra: Theory and Applications
Copyright Year: 2016
Contributor: Judson
Publisher: University of Puget Sound
License: Free Documentation License (GNU)
This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.
(4 reviews)
Mathematical Reasoning: Writing and Proof, Version 2.1
Copyright Year: 2014
Contributor: Sundstrom
Publisher: Grand Valley State University
License: CC BY-NC-SA
Mathematical Reasoning: Writing and Proofis designed to be a text for the ?rst course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are to help students:
(5 reviews)
Introduction to Psychology: The Full Noba Collection
Copyright Year: 2016
Contributors: Biswas-Diener and Diener
Publisher: Noba
License: CC BY-NC-SA
This textbook represents the entire catalog of Noba topics. It contains 90 learning modules covering every area of psychology commonly taught in introductory courses. This book can be modified: feel free to rearrange or remove modules to better suit your specific needs.Please note that the publisher requires you to login to access and download the textbooks.
(19 reviews)