Applied Textbooks

Read more about Introduction to Game Theory: a Discovery Approach

Introduction to Game Theory: a Discovery Approach

Contributor: Nordstrom

Publisher: Jennifer Firkins Nordstrom

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.

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Read more about Quantitative Problem Solving in Natural Resources

Quantitative Problem Solving in Natural Resources

Contributor: Moore

Publisher: Iowa State University

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.

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Read more about Statistical Thinking for the 21st Century

Statistical Thinking for the 21st Century

Contributor: Poldrack

Publisher: Independent

Statistical thinking is a way of understanding a complex world by describing it in relatively simple terms that nonetheless capture essential aspects of its structure, and that also provide us some idea of how uncertain we are about our knowledge. The foundations of statistical thinking come primarily from mathematics and statistics, but also from computer science, psychology, and other fields of study.

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Read more about Geometry with an Introduction to Cosmic Topology

Geometry with an Introduction to Cosmic Topology

Contributor: Hitchman

Publisher: Independent

Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe.

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Read more about Answering questions with data: Introductory Statistics for Psychology Students

Answering questions with data: Introductory Statistics for Psychology Students

Contributor: Crump

Publisher: Independent

This is a free textbook teaching introductory statistics for undergraduates in Psychology. This textbook is part of a larger OER course package for teaching undergraduate statistics in Psychology, including this textbook, a lab manual, and a course website. All of the materials are free and copiable, with source code maintained in Github repositories.

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Read more about First Semester in Numerical Analysis with Julia

First Semester in Numerical Analysis with Julia

Contributor: Ökten

Publisher: Florida State University

First Semester in Numerical Analysis with Julia presents the theory and methods, together with the implementation of the algorithms using the Julia programming language (version 1.1.0). The book covers computer arithmetic, root-finding, numerical quadrature and differentiation, and approximation theory. The reader is expected to have studied calculus and linear algebra. Some familiarity with a programming language is beneficial, but not required. The programming language Julia will be introduced in the book. The simplicity of Julia allows bypassing the pseudocode and writing a computer code directly after the description of a method while minimizing the distraction the presentation of a computer code might cause to the flow of the main narrative.

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Read more about Yet Another Introductory Number Theory Textbook (Cryptology Emphasis Version)

Yet Another Introductory Number Theory Textbook (Cryptology Emphasis Version)

Contributor: Poritz

Publisher: Independent

This version of YAINTT has a particular emphasis on connections to cryptology. The cryptologic material appears in Chapter 4 and §§5.5 and 5.6, arising naturally (I hope) out of the ambient number theory. The main cryptologic applications – being the RSA cryptosystem, Diffie-Hellman key exchange, and the ElGamal cryptosystem – come out so naturally from considerations of Euler’s Theorem, primitive roots, and indices that it renders quite ironic G.H. Hardy’s assertion [Har05] of the purity and eternal inapplicability of number theory. Note, however, that once we broach the subject of these cryptologic algorithms, we take the time to make careful definitions for many cryptological concepts and to develop some related ideas of cryptology which have much more tenuous connections to the topic of number theory. This material therefore has something of a different flavor from the rest of the text – as is true of all scholarly work in cryptology (indeed, perhaps in all of computer science), which is clearly a discipline with a different culture from that of “pure”mathematics. Obviously, these sections could be skipped by an uninterested reader, or remixed away by an instructor for her own particular class approach.

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Read more about Business Math: A Step-by-Step Handbook

Business Math: A Step-by-Step Handbook

Contributor: Olivier

Publisher: Lyryx

Business Mathematics was written to meet the needs of a twenty-first century student. It takes a systematic approach to helping students learn how to think and centers on a structured process termed the PUPP Model (Plan, Understand, Perform, and Present). This process is found throughout the text and in every guided example to help students develop a step-by-step problem-solving approach.

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Read more about Learning Statistics with R: A tutorial for psychology students and other beginners

Learning Statistics with R: A tutorial for psychology students and other beginners

Contributor: Navarro

Publisher: Danielle Navarro

Learning Statistics with R covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software. The book discusses how to get started in R as well as giving an introduction to data manipulation and writing scripts. From a statistical perspective, the book discusses descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. After introducing the theory, the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered at the end of the book.

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Read more about Introductory Statistics with Randomization and Simulation - First Edition

Introductory Statistics with Randomization and Simulation - First Edition

Contributors: Diez, Barr, and Çetinkaya-Rundel

Publisher: OpenIntro

We hope readers will take away three ideas from this book in addition to forming a foundation of statistical thinking and methods.

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