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Read more about Mathematical Reasoning: Writing and Proof, Version 2.1

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:

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Read more about Introduction to Mathematical Analysis I - Second Edition

Introduction to Mathematical Analysis I - Second Edition

Copyright Year: 2016

Contributors: Lafferriere, Lafferriere, and Nguyen

Publisher: Portland State University Library

License: CC BY-NC

Our goal with this textbook is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.

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Read more about Mathematical Analysis I

Mathematical Analysis I

Copyright Year: 2004

Contributor: Zakon

Publisher: The Trillia Group

License: CC BY

This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material.

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Read more about Mathematical Modeling and Simulation with MATLAB

Mathematical Modeling and Simulation with MATLAB

Copyright Year: 2021

Contributors: Lee and Buzby

Publisher: University of Alaska Southeast

License: CC BY-SA

This textbook attempts to provide you with an overview of the commonly used basic mathematical models, as well as a wide range of applications. It offers a perspective that brings you back to the modeling process and the assumptions that go into it.

(1 review)

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Read more about Introducing Mathematical Biology

Introducing Mathematical Biology

Copyright Year: 2023

Contributor: Best

Publisher: The University of Sheffield

License: CC BY

Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.

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Read more about Sound Reasoning

Sound Reasoning

Copyright Year: 2011

Contributors: Brandt and McClure

Publisher: OpenStax CNX

License: CC BY

“Sound Reasoning” is a web-based, introductory music appreciation course. It offers a new approach to music appreciation for adults, focusing on style-independent concepts. While the course concentrates primarily on Western classical and modern music, the concepts that are introduced apply to music of any style or era. The goal of “Sound Reasoning” is to equip you with questions that you may ask of any piece of music, thereby creating a richer and more comprehensive understanding of music both familiar and unfamiliar. Here are some additional features of the course. 1) ”Sound Reasoning” is completely listening based. No ability to read music is required. 2) The course assumes little or no musical background. A minimum of terminology is invoked. 3) Musical examples are interpolated directly into the text. 4) The course is interactive. A “listening gallery” with exercises follows each module, so that you may practice and refine your listening skills. 5) The modules may be studied in sequence or individually. 6)You may easily print a .pdf of any module.. “Sound Reasoning” is designed as both a stand-alone, self-paced course as well as a supplement to existing university classes.

(7 reviews)

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Read more about Logical Reasoning

Logical Reasoning

Copyright Year: 2017

Contributor: Dowden

Publisher: Bradley H. Dowden

License: CC BY-NC-SA

The goal of this book is to improve your logical-reasoning skills. These skills are also called "critical thinking skills." They are a complex weave of abilities that help you get someone's point, generate reasons for your own point, evaluate the reasons given by others, decide what or what not to do, decide what information to accept or reject, explain a complicated idea, apply conscious quality control as you think, and resist propaganda. Your most important critical thinking skill is your skill at making judgments─not snap judgments that occur in the blink of an eye, but those that require careful reasoning.

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Read more about A Guide to Good Reasoning: Cultivating Intellectual Virtues - Second edition, revised and updated

A Guide to Good Reasoning: Cultivating Intellectual Virtues - Second edition, revised and updated

Copyright Year: 1999

Contributor: Wilson

Publisher: University of Minnesota Libraries Publishing

License: CC BY-NC

A Guide to Good Reasoning has been described by reviewers as “far superior to any other critical reasoning text.” It shows with both wit and philosophical care how students can become good at everyday reasoning. It starts with attitude—with alertness to judgmental heuristics and with the cultivation of intellectual virtues. From there it develops a system for skillfully clarifying and evaluating arguments, according to four standards—whether the premises fit the world, whether the conclusion fits the premises, whether the argument fits the conversation, and whether it is possible to tell.

(2 reviews)

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Read more about Writing Spaces: Readings on Writing Vol. I

Writing Spaces: Readings on Writing Vol. I

Copyright Year: 2010

Contributors: Lowe and Zemliansky

Publisher: WAC Clearinghouse

License: CC BY-NC-ND

Volumes in Writing Spaces: Readings on Writing offer multiple perspectives on a wide-range of topics about writing, much like the modelmade famous by Wendy Bishop's “The Subject Is . . .” series. In eachchapter, authors present their unique views, insights, and strategies forwriting by addressing the undergraduate reader directly. Drawing ontheir own experiences, these teachers-as-writers invite students to joinin the larger conversation about developing nearly every aspect of thecraft of writing. Consequently, each essay functions as a standalonetext that can easily complement other selected readings in writing orwriting-intensive courses across the disciplines at any level.

(17 reviews)

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Read more about Writing for Success

Writing for Success

Copyright Year: 2015

Publisher: University of Minnesota Libraries Publishing

License: CC BY-NC-SA

Writing for Success is a text that provides instruction in steps, builds writing, reading, and critical thinking, and combines comprehensive grammar review with an introduction to paragraph writing and composition.

(52 reviews)

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