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    Read more about Elementary Calculus

    Elementary Calculus

    Copyright Year:

    Contributor: Corral

    Publisher: Michael Corral

    License: Free Documentation License (GNU)

    This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

    (1 review)

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    Read more about Math in Society: Mathematics for liberal arts majors

    Math in Society: Mathematics for liberal arts majors

    Copyright Year:

    Contributor: Lee

    Publisher: Portland Community College Math Department

    License: CC BY-SA

    We dedicate this book to our students. May you have greater ease in paying for college and grow your proficiency and confidence in math.

    (3 reviews)

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    Read more about First Semester in Numerical Analysis with Python

    First Semester in Numerical Analysis with Python

    Contributor: Liu

    Publisher: Auraria Institutional Repository

    License: CC BY-NC-SA

    The book is based on “First semester in Numerical Analysis with Julia”, written by Giray Ökten. The contents of the original book are retained, while all the algorithms are implemented in Python (Version 3.8.0). Python is an open source (under OSI), interpreted, general-purpose programming language that has a large number of users around the world. Python is ranked the third in August 2020 by the TIOBE programming community index, a measure of popularity of programming languages, and is the top-ranked interpreted language. We hope this book will better serve readers who are interested in a first course in Numerical Analysis, but are more familiar with Python for the implementation of the algorithms.

    (2 reviews)

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    Read more about The Joy of Cryptography

    The Joy of Cryptography

    Copyright Year:

    Contributor: Rosulek

    Publisher: Oregon State University

    License: CC BY-NC-SA

    The pedagogical approach is anchored in formal definitions/proof of security, but in a way that I believe is more accessible than what is "traditional" in crypto. All security definitions are written in a unified and simplified "game-based" style. For an example of what security definitions look like in this style, see the index of security definitions (which will make more sense after reading chapters 2 & 4).

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    Read more about Transition to Higher Mathematics: Structure and Proof - Second Edition

    Transition to Higher Mathematics: Structure and Proof - Second Edition

    Copyright Year:

    Contributors: Dumas and McCarthy

    Publisher: Open Scholarship

    License: CC BY

    This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers.

    (1 review)

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    Read more about Elementary Abstract Algebra: Examples and Applications

    Elementary Abstract Algebra: Examples and Applications

    Copyright Year:

    Contributors: Hill and Thron

    Publisher: Justin Hill and Chris Thron

    License: CC BY-NC-SA

    This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format.

    (2 reviews)

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    Read more about A Cool Brisk Walk Through Discrete Mathematics - version 2.2

    A Cool Brisk Walk Through Discrete Mathematics - version 2.2

    Copyright Year:

    Contributor: Davies

    Publisher: University of Mary Washington

    License: CC BY-SA

    A Cool Brisk Walk Through Discrete Mathematics - and its companion site "allthemath" - are completely-and-forever-free-and-open-source educational materials dedicated to the mathematics that budding computer science practitioners actually need to know. They feature the fun and addictive teaching of award-winning lecturer Dr. Stephen Davies of the University of Mary Washington in Fredericksburg, Virginia!

    (3 reviews)

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    Read more about Introduction to Game Theory: a Discovery Approach

    Introduction to Game Theory: a Discovery Approach

    Copyright Year:

    Contributor: Nordstrom

    Publisher: Jennifer Firkins Nordstrom

    License: CC BY-SA

    Game theory is an excellent topic for a non-majors quantitative course as it develops mathematical models to understand human behavior in social, political, and economic settings. The variety of applications can appeal to a broad range of students. Additionally, students can learn mathematics through playing games, something many choose to do in their spare time! This text also includes an exploration of the ideas of game theory through the rich context of popular culture. It contains sections on applications of the concepts to popular culture. It suggests films, television shows, and novels with themes from game theory. The questions in each of these sections are intended to serve as essay prompts for writing assignments.

    (4 reviews)

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    Read more about Multivariable Calculus

    Multivariable Calculus

    Copyright Year:

    Contributor: Shimamoto

    Publisher: Don Shimamoto

    License: CC BY

    This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and finally the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible. The presentation is geared towards students who enjoy learning mathematics for its own sake. As a result, there is a priority placed on understanding why things are true and a recognition that, when details are sketched or omitted, that should be acknowledged. Otherwise the level of rigor is fairly normal. Matrices are introduced and used freely. Prior experience with linear algebra is helpful, but not required.

    (1 review)

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    Read more about Quantitative Problem Solving in Natural Resources

    Quantitative Problem Solving in Natural Resources

    Copyright Year:

    Contributor: Moore

    Publisher: Iowa State University

    License: CC BY-SA

    This text is intended to support courses that bridge the divide between mathematics typically encountered in U.S. high school curricula and the practical problems that natural resource students might engage with in their disciplinary coursework and professional internships.

    (1 review)

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