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The Essence of Mathematics Through Elementary Problems

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The Essence of Mathematics Through Elementary Problems

Alexandre Borovik & Tony Gardiner · University of Manchester & University of Birmingham

The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline.

CC BYApplied MathematicsMathematics 0 lượt xem
Biological Statistics

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Biological Statistics

John H. McDonald · University of Delaware

The goal in that class is to teach biology students how to choose the appropriate statistical test for a particular experiment, then apply that test and interpret the results. In my class and in this textbook, I spend relatively little time on the mathematical basis of the tests; for most biologists, statistics is just a useful tool, like a microscope, and knowing the detailed mathematical basis of a statistical test is as unimportant to most biologists as knowing which kinds of glass were used

Applied StatisticsStatistics 0 lượt xem
AB

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Agent-Based Evolutionary Game Dynamics

Luis R. Izquierdo, Segismundo S. Izquierdo, & William H. Sandholm · University of Wisconsin - Madison

A guide to implement and analyze Agent-Based Models within the framework of Evolutionary Game Theory, using NetLogo

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Understanding Elementary Mathematics

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Understanding Elementary Mathematics

Julie Harland · MiraCosta College

Understanding Elementary Mathematics, a series of hands-on Workbook Modules, was written especially for prospective elementary school teachers in a way that they would actively learn the structures, concepts and foundations of elementary mathematics.

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An Introduction to Psychological Statistics

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An Introduction to Psychological Statistics

Foster et al. · LibreTexts

We are constantly bombarded by information, and finding a way to filter that information in an objective way is crucial to surviving this onslaught with your sanity intact. This is what statistics, and logic we use in it, enables us to do. Through the lens of statistics, we learn to find the signal hidden in the noise when it is there and to know when an apparent trend or pattern is really just randomness.

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Career/Life Planning and Personal Exploration

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Career/Life Planning and Personal Exploration

LibreTexts

Career/Life Planning and Personal Exploration is designed to cover theories and concepts of values, interests, skills and personality as applied to the career/life planning process and its application to labor market trends. Short/long term career/life plans will be developed. Students will develop an awareness of diversity and its relationship to psychological, sociological and physiological forces within the workplace.

Counseling and GuidanceSocial Sciences 0 lượt xem
Quantitative Problem Solving in Natural Resources

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Quantitative Problem Solving in Natural Resources

Peter L. Moore · 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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Mathematics for Elementary Teachers

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Mathematics for Elementary Teachers

Michelle Manes · University of Hawaii

This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations.

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Learning Statistics with R - A tutorial for Psychology Students and other Beginners

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Learning Statistics with R - A tutorial for Psychology Students and other Beginners

DJ Navarro · University of New South Wales

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 descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. Then the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered afterward.

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Statistics for Research Students

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Statistics for Research Students

Erich C Fein, John Gilmour, Tayna Machin, and Liam Hendry · University of Southern Queensland

This book aims to help you understand and navigate statistical concepts and the main types of statistical analyses essential for research students.

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Physics 9HA: Classical Mechanics

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Physics 9HA: Classical Mechanics

Tom Weideman · University of California, Davis

Physics 9HA introduces general principles and analytical methods used in classical mechanics primarily for physics and applied physics majors, though it is also a good fit for engineering students that have a special affinity for physics and are looking for a more challenging first course in physics.

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Numerical Methods

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Numerical Methods

Jeffrey R. Chasnov · Hong Kong University of Science and Technology

These notes, taught at the Hong Kong University of Science and Technology with two lecture hours per week, are primarily for non-mathematics majors and were required by several engineering departments.

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MATH 110: Techniques of Calculus I

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MATH 110: Techniques of Calculus I

Debbie Gaydos · Penn State University, Greater Allegeheny

Có trong mục lục: 2.09: Applied Optimization

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Mike’s Biostatistics Book

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Mike’s Biostatistics Book

Michael R Dohm · Chaminade University

The lecture notes are written from my perspective on what matters in a semester-long, first course in Biostatistics: concepts, context and practical advice along with a generous introduction to general linear models. The focus is on applied statistics with reference to other data science skill sets as needed. Concepts are illustrated by examples and multiple choice questions to “test” reader comprehension.

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A Contemporary Approach to Research and Statistics in Psychology

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A Contemporary Approach to Research and Statistics in Psychology

Klaire Somoray · James Cook University

This book is designed as a short and introductory resource specifically aimed to help students grasp key concepts typically found in undergraduate psychology statistics subjects. It was initially developed for online and intensive programs, which are becoming increasingly popular in psychology education. The book utilises jamovi, a free and open-source statistical software.

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Algebra in Cuneiform

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Algebra in Cuneiform

Jens Høyrup · Roskilde University

An introduction to so-called “Babylonian algebra” that explains its geometrical foundation.

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IT

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Introduction to Game Theory: a Discovery Approach

Jennifer A. Firkins Nordstrom · Linfield College

Many colleges offer courses in quantitative reasoning for all students. One model for a quantitative reasoning course is to provide students with a single cohesive topic. Ideally, such a topic can pique the curiosity of students with wide ranging academic interests and limited mathematical background. This text is intended for use in such a course. This text may also be appropriate for a high school enrichment course.

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Community Resilience to Climate Change: Theory, Research and Practice

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Community Resilience to Climate Change: Theory, Research and Practice

Dana Hellman; Vivek Shandas · Portland State University Library · 2020

This reader is an Open Educational Resource, meant to accompany a graduate or higher-level undergraduate university course in climate change resilience, adaptation, and/or planning. While the material is geared toward students in urban and regional planning, it may also be of interest to students of urban studies, public health, geography, political science, sociology, risk management, and others. Each section of this volume includes (1) an introductory summary, (2) a reading list with full text articles, (3) student exercises meant to enhance understanding and facilitate in-class discussion, and (4) additional discussion prompts or activities for instructors to use in class. The format of materials is intended to convey key concepts, while leaving ample space for student exploration, discourse, and creativity. Lessons may culminate in an applied, imaginative final project, a sample framework of which is provided at the end of Section VI.

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Introduction to Adulthood and Aging

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Introduction to Adulthood and Aging

Maham Khan · Virginia Tech Libraries · 2026

Introduction to Adulthood and Aging (2026) is a research-based, 358-page Open Educational Resource (OER) adapted with original material added for use in Virginia Tech’s Human Development course, HD 2004: Adulthood and Aging. This text aims to spark reader ideas to address the significant global challenges and opportunities related to aging worldwide, exploring development, loss, resilience, and change and challenging common assumptions about aging. More than just a textbook, this resource is intended to spark reflection, empathy, and connection. The text is a foundation of knowledge and compassion that can be applied in both academic and personal settings, assisting readers to engage with the topic in practical and meaningful ways. Developed in response to the increasing cost of textbooks, with the goal of reducing the financial burden on students and families, Introduction to Adulthood and Aging adapts and expands the openly-licensed works of other authors. It was adapted with original content added from existing openly-licensed texts, developed as a course reader in Canvas, and has been converted into MSWord and PDF. It is shared broadly in an effort to increase access to the content. While it is freely available under a Creative Commons Attribution NonCommercial ShareAlike (CC BY NC-SA) 4.0 license, the value of the content remains high, grounded in research, empathy, and a commitment to accessible education. Instructors reviewing or adopting this book for a course, please help us understand your use by filling out this form: https://bit.ly/interest_introductiontoadulthoodandaging

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Lifespan Development

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Lifespan Development

Diana Riser; Rose Spielman; David Biek · OpenStax · 2024

Lifespan Development aligns to the topics and objectives of most introductory developmental psychology courses taught across departments. Grounded in foundational theories and scientific research, the text teaches students about core aspects of human development—physical, cognitive, social, emotional—across the lifespan. A primary goal of the book is to incorporate content, scholarship, and activities that explore a variety of perspectives that encourage all students to feel seen and included. Lifespan Development strives to openly address complex topics with scholarly responsibility and an effort to increase equity and inclusion in the research presented, as well as to foster student engagement in the classroom through relevant examples and applications. Focused on driving meaningful and memorable learning experiences, the narrative places concepts in contexts that give students the means to understand human development and how that knowledge can be applied to and improve their own lives and the lives of others.

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