Mathematics Textbooks

Read more about Mostly Harmless Statistics

Mostly Harmless Statistics

Contributor: Webb

Publisher: Portland State University Library

This text is for an introductory level probability and statistics course with an intermediate algebra prerequisite. The focus of the text follows the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE). Software examples provided for Microsoft Excel, TI-84 & TI-89 calculators. A formula packet and pdf version of the text are available on the website http://mostlyharmlessstatistics.com. Students new to probability and statistics are sure to benefit from this fully ADA accessible and relevant textbook. The examples resonate with everyday life, the text is approachable, and has a conversational tone to provide an inclusive and easy to read format for students.

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Read more about Euclid's Elements Redux

Euclid's Elements Redux

Contributor: Callahan

Publisher: Sample

"Euclid's 'Elements' Redux" is an open textbook on mathematical logic and geometry based on Euclid's "Elements" for use in grades 7-12 and in undergraduate college courses on proof writing.

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Read more about Intermediate Statistics with R

Intermediate Statistics with R

Contributor: Greenwood

Publisher: Montana State University

Introductory statistics courses prepare students to think statistically but cover relatively few statistical methods. Building on the basic statistical thinking emphasized in an introductory course, a second course in statistics at the undergraduate level can explore a large number of statistical methods. This text covers more advanced graphical summaries, One-Way ANOVA with pair-wise comparisons, Two-Way ANOVA, Chi-square testing, and simple and multiple linear regression models. Models with interactions are discussed in the Two-Way ANOVA and multiple linear regression setting with categorical explanatory variables. Randomization-based inferences are used to introduce new parametric distributions and to enhance understanding of what evidence against the null hypothesis “looks like”. Throughout, the use of the statistical software R via Rstudio is emphasized with all useful code and data sets provided within the text. This is Version 3.0 of the book.

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Read more about Impact of Materials on Society

Impact of Materials on Society

Contributors: Acord, Jones, and Bryant

Publisher: University of Florida

This textbook supports the Impact of Materials on Society course and teaching materials, developed with the Materials Research Society. The textbook offers an exploration into materials (including ceramics, clay, concrete, glass, metals, and polymers) and the relationship with technologies and social structures. The textbook was developed by an interdisciplinary team from Engineering and Liberal Arts and Sciences, including anthropologists, sociologists, historians, media studies experts, Classicists, and more.

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Read more about Introduction to Statistical Thinking

Introduction to Statistical Thinking

Contributor: Yakir

Publisher: Benjamin Yakir

The target audience for this book is college students who are required to learn statistics, students with little background in mathematics and often no motivation to learn more. It is assumed that the students do have basic skills in using computers and have access to one. Moreover, it is assumed that the students are willing to actively follow the discussion in the text, to practice, and more importantly, to think.

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Read more about Informal Calculus with Applications to Biological and Environmental Sciences

Informal Calculus with Applications to Biological and Environmental Sciences

Contributors: Seacrest, Seacrest, Levine, and Anderson

Publisher: TRAILS

This book is an approachable introduction to calculus with applications to biology and environmental science. For example, one application in the book is determining the volume of earth moved in the 1959 earthquake that created Quake Lake. Another application uses differential equations to model various biological examples, including moose and wolf populations at Isle Royale National Park, ranavirus in amphibians, and competing species of protozoa. The text focuses on intuitive understanding of concepts, but still covers most of the algebra and calculations common in a survey of calculus course.

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Read more about PSYC 2200: Elementary Statistics for the Behavioral and Social Sciences

PSYC 2200: Elementary Statistics for the Behavioral and Social Sciences

Contributor: Oja

Publisher: LibreTexts

Welcome to behavioral statistics, a statistics textbook for social science majors!

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Read more about Optimal, Integral, Likely Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences

Optimal, Integral, Likely Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences

Contributors: Belevan, Hamidi, Malhotra, and Yeager

Publisher: Bruno Belevan, Parham Hamidi, Nisha Malhotra, and Elyse Yeager

Optimal, Integral, Likely is a free, open-source textbook intended for UBC’s course MATH 105: Integral Calculus with Applications to Commerce and Social Sciences. It is shared under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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Read more about Measure, Integration & Real Analysis

Measure, Integration & Real Analysis

Contributor: Axler

Publisher: Sheldon Axler

This book seeks to provide students with a deep understanding of the definitions, examples, theorems, and proofs related to measure, integration, and real analysis. The content and level of this book fit well with the first-year graduate course on these topics at most American universities. This textbook features a reader-friendly style and format that will appeal to today's students.

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Read more about Technical Mathematics

Technical Mathematics

Contributor: Chase

Publisher: Open Oregon Educational Resources

This developmental-level mathematics textbook is intended for career-technical students.

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