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The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics.

To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs.

Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete.

The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words.

An Instructor's Guide is available to any instructor who uses the text.

Subject:
Mathematics
Material Type:
Textbook
Author:
Al Doerr
Ken Levasseurr
01/01/2017
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CC BY-NC-SA
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A Concise Introduction to Logic is an introduction to formal logic suitable for undergraduates taking a general education course in logic or critical thinking, and is accessible and useful to any interested in gaining a basic understanding of logic. This text takes the unique approach of teaching logic through intellectual history; the author uses examples from important and celebrated arguments in philosophy to illustrate logical principles. The text also includes a basic introduction to findings of advanced logic. As indicators of where the student could go next with logic, the book closes with an overview of advanced topics, such as the axiomatic method, set theory, Peano arithmetic, and modal logic. Throughout, the text uses brief, concise chapters that readers will find easy to read and to review.

Subject:
Arts and Humanities
Philosophy
Material Type:
Textbook
Provider:
State University of New York
Provider Set:
Milne Open Textbooks
Author:
Craig DeLancey
03/27/2017
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CC BY-SA
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Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions.

Subject:
Mathematics
Material Type:
Textbook
Author:
Oscar Levin
04/27/2020
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CC BY-NC-SA
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Foundations of Computation is a free textbook for a one-semester course in theoretical computer science. It has been used for several years in a course at Hobart and William Smith Colleges. The course has no prerequisites other than introductory computer programming. The first half of the course covers material on logic, sets, and functions that would often be taught in a course in discrete mathematics. The second part covers material on automata, formal languages, and grammar that would ordinarily be encountered in an upper level course in theoretical computer science.

Subject:
Applied Science
Computer Science
Material Type:
Textbook
Provider:
Hobart and William Smith Colleges
Author:
Carol Critchlow, David Eck
04/27/2020
Unrestricted Use
CC BY
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Fundamental Methods of Logic is suitable for a one-semester introduction to logic/critical reasoning course. It covers a variety of topics at an introductory level. Chapter One introduces basic notions, such as arguments and explanations, validity and soundness, deductive and inductive reasoning; it also covers basic analytical techniques, such as distinguishing premises from conclusions and diagramming arguments. Chapter Two discusses informal logical fallacies. Chapters Three and Four concern deductive logic, introducing the basics of Aristotelian and Sentential Logic, respectively. Chapter Five deals with analogical and causal reasoning, including a discussion of Mill's Methods. Chapter Six covers basic probability calculations, Bayesian inference, fundamental statistical concepts and techniques, and common statistical fallacies.

Subject:
Arts and Humanities
Philosophy
Material Type:
Textbook
Provider:
University of Wisconsin-Milwaukee
Author:
Matthew Knachel
09/08/2017
Unrestricted Use
CC BY
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Inferring and Explaining is a book in practical epistemology. It examines the notion of evidence and assumes that good evidence is the essence of rational thinking. Evidence is the cornerstone of the natural, social, and behavioral sciences. But it is equally central to almost all academic pursuits and, perhaps most importantly, to the basic need to live an intelligent and reflective life.

Subject:
Arts and Humanities
Philosophy
Material Type:
Textbook
Provider:
Portland State University
Provider Set:
PDXOpen
Author:
Jeffery L. Johnson
04/27/2020
Unrestricted Use
CC BY
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This is an introductory textbook in logic and critical thinking. The goal of the textbook is to provide the reader with a set of tools and skills that will enable them to identify and evaluate arguments. The book is intended for an introductory course that covers both formal and informal logic. As such, it is not a formal logic textbook, but is closer to what one would find marketed as a critical thinking textbook. Downloadable as a pdf file.

Subject:
Arts and Humanities
Philosophy
Material Type:
Textbook
Provider:
Lansing Community College
Author:
Matthew J. Van Cleave
01/04/2016
Unrestricted Use
CC BY
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Introduction to Philosophy: Logic provides students with the concepts and skills necessary to identify and evaluate arguments effectively. The chapters, all written by experts in the field, provide an overview of what arguments are, the different types of arguments one can expect to encounter in both philosophy and everyday life, and how to recognise common argumentative mistakes.

Subject:
Arts and Humanities
Philosophy
Material Type:
Textbook
Provider:
Rebus Community
Author:
Ben Martin
Christina Hendricks
11/02/2021
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CC BY-NC-SA
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Microwave and RF Design: Modules focuses on the design of systems based on microwave modules. The use of modules has become increasingly important in RF and microwave engineering for rapidly realizing high performance microwave systems. When integration is ultimately to be used, building a system up using modules provides a rapid means of prototyping and testing system concepts. A wide variety of RF modules including amplifiers, local oscillators, switches, circulators, isolators, phase detectors, frequency multipliers and dividers, phase-locked loops, and direct digital synthesizers are considered. Detailed design strategies for synthesizing filters based on parallel coupled lines are presented. The reader will gain an appreciation of design by synthesis. This book is suitable as both an undergraduate and graduate textbook, as well as a career-long reference book.

Subject:
Applied Science
Engineering
Material Type:
Textbook
Author:
11/08/2021
Unrestricted Use
CC BY
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We dedicate this book to our students. May you have greater ease in paying for college and grow your proficiency and confidence in math.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Portland Community College
Author:
Cara Lee
11/02/2021
Unrestricted Use
CC BY
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The Open Logic Text is an open textbook on mathematical logic aimed at a non-mathematical audience, intended for advanced logic courses as taught in many philosophy departments. It is open-source: you can download the LaTeX code. It is open: you’re free to change it whichever way you like, and share your changes. It is collaborative: a team of people is working on it, using the GitHub platform, and we welcome contributions and feedback. And it is written with configurability in mind.

Subject:
Applied Science
Arts and Humanities
Computer Science
Mathematics
Philosophy
Material Type:
Textbook
Author:
Aldo Antonelli
Andrew Arana
Audrey Yap
Gillian Russell
Nicole Wyatt
Richard Zach
Walter Dean
05/14/2015
Unrestricted Use
CC BY
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Introductory Writing Course developed through the Ohio Department of Higher Education OER Innovation Grant. The course is part of the Ohio Transfer Module and is also named TME002. This work was completed and the course was posted in September 2018. For more information about credit transfer between Ohio colleges and universities, please visit: transfercredit.ohio.gov.Team LeadRachel Brooks-Pannell                       Columbus State Community CollegeContent ContributorsCatherine Braun                                  Ohio State UniversityMartin Brick                                         Ohio Dominican UniversityPeter Landino                                      Terra State Community CollegeBrian Leingang                                    Edison State Community CollegeBonnie Proudfoot                                Hocking CollegeJason Reynolds                                  Southern State Community CollegeMarie Stokes                                       Stark State CollegeLibrarianKatie Foran-Mulcahy                           University of Cincinnati Clermont CollegeReview TeamAnna Bogen                                        Marion Technical CollegeSteven Mohr                                       Terra State Community CollegeKelsey Squire                                      Ohio Dominican University

Subject:
Composition and Rhetoric
English Language Arts
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
08/23/2018
Unrestricted Use
CC BY
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0.0 stars

Subject:
Composition and Rhetoric
English Language Arts
Material Type:
Unit of Study
Provider:
Ohio Open Ed Collaborative
Conditional Remix & Share Permitted
CC BY-NC
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Critical Thinking is one of the five main learning outcomes for the Ohio Transfer Module’s Ohio guidelines for second-year writing. The Department of Higher Education recognizes that second-year writing builds on the skills of first-year writing and adds the following skills to what a student should be able to do by the end of the course:Find and evaluate appropriate material from electronic and other sources.Locate, evaluate, organize, and use primary and secondary research material. Secondary research material should be collected from various sources, including journal articles and other scholarly texts found in library databases, other official databases (e.g., federal government databases), and informal electronic networks and internet sources.Analyze and critique sources in their writing.Juxtapose and integrate ideas and arguments from sources.Develop a clear line of argument that incorporates ideas and evidence from sources.Use strategies—such as interpretation, synthesis, response, critique, and design/redesign—to compose texts that integrate the writer’s ideas with those from appropriate sources.

Subject:
Composition and Rhetoric
Material Type:
Module
08/23/2018
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CC BY-NC-SA
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This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students’ problem-solving and writing skills.

Subject:
Functions
Mathematics
Numbers and Operations
Material Type:
Textbook
Provider:
State University of New York
Provider Set:
Milne Open Textbooks
Author:
Harris Kwong, SUNY Fredonia