Recently added materials to MERLOT
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Recently added materials to MERLOTCopyright (C) 2018 MERLOT Some Rights ReservedWed, 10 Jan 2018 02:28:48 GMTMERLOThttps://www.merlot.org/merlot/images/merlot_column.png
https://www.merlot.org/
-1-1Mathematics Fundamentals
https://www.merlot.org/merlot/viewMaterial.htm?id=1357828
<p>This book is an introduction to basic mathematics and is intended for students who need to reach the minimum level of mathematics required for their sciences, engineering and business studies. It begins by reviewing mathematical ideas usually encountered in early high school, such as fractions, algebra and solving equations. We then build on that base by introducing simultaneous equations, powers, exponentials, and logarithms; quadratic equations; functions and their graphs. We finish with a brief introduction to calculus.</p>Wed, 10 Jan 2018 02:28:48 GMTNazim Khan; Des Hill University of Western Australia; University of Western AustraliaPrinciples of Logic and Argumentation
https://www.merlot.org/merlot/viewMaterial.htm?id=1321625
<p>This textbook was developed as part of the Textbook Transformation Grants for the Affordable Learning Georgia project. The book was designed to be used in PHIL 2020, Principles of Logic and Argumentation. This course is an introduction to the principles of logic and the nature of argumentation. Attention is given to language analysis, fallacies of reasoning, deductive and inductive procedures, subjective factors of reasoning and scientific method. Emphasis is on the practical application of basic principles to the analysis of ethical, political, and legal arguments and theories.</p>
<p>The authors use a variety of OERs (Open Educational Resources) to replace a purchased book.</p>
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<p> </p>Tue, 08 Aug 2017 21:35:48 GMTChristine A. James; Michael Holt Valdosta State University; Valdosta State UniversityA Concise Introduction to Logic [Open SUNY Textbooks]
https://www.merlot.org/merlot/viewMaterial.htm?id=1293410
<p><span style="text-decoration: underline;">A Concise Introduction to Logic </span> 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. The text also includes a basic introduction of 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. Thoughout the text uses brief, concise chapters that readers will find easy to read and review.</p>Fri, 07 Apr 2017 11:11:52 GMTCraig Delaney SUNY/SUNY Libraries/SUNY Press and Affiiliated Members (NY, USA)A Short Course in Predicate Logic
https://www.merlot.org/merlot/viewMaterial.htm?id=1017022
<p>'In my experience students often struggle to understand Predicate Logic: they drown in the complicated notation; they do not understand the difference between syntax and semantics, proof and truth; they do not appreciate the importance of logic within mathematics and formal methods in general. This book was written specifically to address these issues, at the same time presenting a full and rigorous treatment of the subject requiring only basic mathematics.</p>
<p>The presentation is based on a course for final year undergraduate students of mathematics, computer science and philosophy supplemented with additional material for masters students. Numerous problems, together with detailed solutions, are provided to consolidate the students' understanding.'</p>Tue, 21 Apr 2015 21:27:40 GMTJeff Paris University of ManchesterLogic and Proofs
https://www.merlot.org/merlot/viewMaterial.htm?id=907321
<p>Logic is a remarkable discipline. It is deeply tied to mathematics and philosophy, as correctness of argumentation is particularly crucial for these abstract disciplines. Logic systematizes and analyzes steps in reasoning: <em>correct</em> steps guarantee the truth of their conclusion given the truth of their premise(s); <em>incorrect</em> steps allow the formulation of counterexamples, i.e., of situations in which the premises are true, but the conclusion is false.</p>
<p>Recognizing (and having conceptual tools for recognizing) the correctness or incorrectness of steps is crucial in order to critically evaluate arguments, not just in philosophy and mathematics, but also in ordinary life. This skill is honed by working in two virtual labs. In the <em>ProofLab</em> you learn to construct complex arguments in a strategically guided way, whereas in the <em>TruthLab</em> the emphasis is on finding counterexamples systematically.</p>
<h4>Who should take this course?</h4>
<p>This is an introductory course designed for students from a broad range of disciplines, from mathematics and computer science to drama and creative writing. The highly interactive presentation makes it possible for any student to master the material. Concise multimedia lectures introduce each chapter; they discuss, in detail, the central notions and techniques presented in the text, but also articulate and motivate the learning objectives for each chapter.</p>
<h4>Open & Free Version</h4>
<p>The Open & Free, Logic & Proofs course includes the first five chapters of Logic & Proofs, providing a basic introduction to sentential logic. A full version of Logic & Proofs, including both sentential and predicate logic, is also available without technical or instructor support to independent users, for a small fee. No credit is awarded for completing either the Open & Free, Logic & Proofs course or the full, unsupported Logic & Proofs course.</p>Sat, 08 Nov 2014 15:57:56 GMTOpen Learning Initiative Carnegie Mellon UniversityModern Philosophy
https://www.merlot.org/merlot/viewMaterial.htm?id=903046
<p>'This is a textbook (or better, a workbook) in modern philosophy. It combines readings from primary sources with two pedagogical tools. Paragraphs in italics introduce figures and texts. Numbered study questions (also in italics) ask students to reconstruct an argument or position from the text, or draw connections among the readings. And I have added an introductory chapter (Chapter 0 – Minilogic and Glossary), designed to present the basic tools of philosophy and sketch some principles and positions. The immediate goal is to encourage students to grapple with the ideas rather than passing their eyes over the texts. This makes for a better classroom experience and permits higher-level discussions. Another goal is to encourage collaboration among instructors, as they revise and post their own versions of the book.'</p>Fri, 24 Oct 2014 02:44:43 GMTWalter Ott; Alexander Dunn Virginia Tech University; University of MelbourneFermat's Proof to his "Last Theorem" [A Restoration]
https://www.merlot.org/merlot/viewMaterial.htm?id=830512
<p>This is a free textbook that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even without a Kindle device—with the free Kindle app for smartphones and tablets. Download the app for your device and start reading for free.</p><p>'The Holy Grail of mathematics revealed as a truly 17th-century numerical and geometrical proof as a letter by Fermat to a colleague. This will withstand all challenges.'</p>Wed, 29 Jan 2014 20:48:27 GMTJack GerberA System Of Logic, Ratiocinative And Inductive
https://www.merlot.org/merlot/viewMaterial.htm?id=815588
<p>This is a free textbook that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even without a Kindle device—with the free Kindle app for smartphones and tablets. Download the app for your device and start reading for free.</p><p>‘This book was converted from its physical edition to the digital format by a community of volunteers.’</p><p>'<em>A System of Logic</em> was first published in 1843 and immediately enjoyed a wide circulation, going through numerous editions. Mill himself made substantial changes in the third edition, published in 1850, and the eighth edition, published in 1872, a year before his death. This book is Mill’s most comprehensive and systematic philosophical work, elaborating his inductive method, which helped to free the empirical sciences from the rigidity of analysis by way of syllogisms. Syllogisms are arguments grounded in general principles, in which two premises are used to deduce a third premise, or conclusion. In <em>A System of Logic</em>, Mill breaks away from this age-old practice and instead proposes the use of a form of logic derived from the principles of the natural sciences. He uses his method to address questions of language and logic, induction, the relativity of knowledge, the structure of the scientific method, the structure of arithmetic and geometry, and the principles of the moral sciences. In effect, Mill provides a solid, scientific methodology for reasoning and for philosophy, derived from science and mathematics.</p><div class="floatingad">The introduction discusses the role and purpose of logic in human understanding. Logic is the art and science of reasoning, a means for the pursuit of truth. However, logic is only concerned with making inferences from observed phenomena, not with intuitive truths. Logic does not produce new evidence, but it can determine whether something offered as evidence is valid. Logic judges but does not observe, invent, or discover. Logic serves a purpose in some larger project of inquiry that gives it meaning. Fundamentally, logic is a method of evaluating evidence.'</div>Tue, 26 Nov 2013 21:31:10 GMTJohn Stuart MillSymbolic Logic
https://www.merlot.org/merlot/viewMaterial.htm?id=815523
<p>This is a free textbook that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even without a Kindle device—with the free Kindle app for smartphones and tablets. Download the app for your device and start reading for free.</p><p>‘This book was converted from its physical edition to the digital format by a community of volunteers.’</p><p>'<span>Yes, this is the Lewis Carroll who wrote </span><a href="http://www.amazon.com/exec/obidos/Title=Alice%20in%20Wonderland/$%7B0%7D">Alice in Wonderland</a><span>, and these two works show the same quirky humor. Here you see Carroll the mathematician at his playful best. Don't let the title of the first work mislead you--this isn't about modern symbolic logic but about ways of expressing classical logic with symbols. It's loaded with amusing problems to delight any mathematical puzzler. In the second work he turns logic into a game played with diagrams and colored counters, giving you hundreds of challenging and witty syllogisms to solve. Great mind-stretching fun.'</span></p>Tue, 26 Nov 2013 18:43:42 GMTLewis CarrollMathematical Reasoning: Writing and Proof
https://www.merlot.org/merlot/viewMaterial.htm?id=802450
<p><span>This textbook is designed for the first course in the college mathematics curriculum that introduces students to the process of constructing and writing proofs.</span></p>Fri, 18 Oct 2013 16:22:30 GMTTed Sundstrom Grand Valley State UniversityFermat's Proof to his "Last Theorem" [A Restoration]
https://www.merlot.org/merlot/viewMaterial.htm?id=801037
<p>This is a free version of the Boundless textbook that is offered by Amazon for reading on a Kindle. If one creates a Kindle account, it can be downloaded to a laptop or iPad with a Kindle app.</p><p>'<span>The Holy Grail of mathematics revealed as a truly 17th-century numerical and geometrical proof as a letter by Fermat to a colleague. This will withstand all challenges.'</span></p>Tue, 15 Oct 2013 00:05:39 GMTJack GerberCombinatorics Through Guided Discovery
https://www.merlot.org/merlot/viewMaterial.htm?id=800962
<p>'This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you ﬁgure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn’t get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you’ve hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress.</p><p>In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your ﬁrst step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to ﬁgure out which method applies and apply it. That is not the case here. Based on some simpliﬁed examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.'</p>Mon, 14 Oct 2013 22:29:33 GMTKenneth P. Bogart Dartmouth UniversityMathematical Reasoning: Writing and Proof
https://www.merlot.org/merlot/viewMaterial.htm?id=800960
<p>'Mathematical Reasoning: Writing and Proof is designed to be a text for the ﬁrst course in the college mathematics curriculum that introduces students to the pro-cesses of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are as follows:</p><p>To help students learn how to read and understand mathematical deﬁnitions and proofs;</p><p>To help students learn how to construct mathematical proofs;</p><p>To help students learn how to write mathematical proofs according to ac-cepted guidelines so that their work and reasoning can be understood by others; and</p><p>To provide students with material that will be needed for their further study of mathematics.'</p>Mon, 14 Oct 2013 22:21:09 GMTTed Sundstrom Grand Valley State UniversityA Gentle Introduction to the Art of Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=800958
<p>'This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.</p><p>It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.'</p>Mon, 14 Oct 2013 22:13:53 GMTJoseph E. FieldsIntroductory Maths for Chemists - Chemistry Maths 1
https://www.merlot.org/merlot/viewMaterial.htm?id=736044
<p>'<span>Chemistry Maths 1 teaches Maths from a “chemical” perspective and is the first of a three part series of texts taken during a first-year university course. It is the Maths required by a Chemist, or Chemical Engineer, Chemical Physicist, Molecular Biologist, Biochemist or Biologist. Tutorial questions with fully worked solutions are used and structured on a weekly basis to help the students to self-pace themselves. Coloured molecular structures, graphs and diagrams bring the text alive. Navigation between questions and their solutions is by page numbers for use with your PDF reader.'</span></p>Tue, 26 Feb 2013 17:01:31 GMTJohn Parker Heriot-Watt University EdinburghVolume II: Semicentennial Addresses of the American Mathematical Society
https://www.merlot.org/merlot/viewMaterial.htm?id=513894
<p>This is a free, online textbook offered by American Mathematical Society (AMS). "The sescond semicentennial volume contains brief treatises on eight representative subjects and a historical summary of American contributions of mathematics during the past fifty years."</p>Thu, 13 Jan 2011 18:28:28 GMTVarious Authors American Mathematical SocietyVolume I: A History of the Second Fifty Years, American Mathematical Society, 1939 - 1988
https://www.merlot.org/merlot/viewMaterial.htm?id=513891
<p>This is a free, online textbook offered by American Mathematical Society (AMS). This volume is "an effort to cover principal functions of the Society and the development of the organizational sturcture by which it carries out those functions."</p>Thu, 13 Jan 2011 18:24:47 GMTEverett Pitcher American Mathematical SocietyVolume II: Mathematics into the Twenty-First Century
https://www.merlot.org/merlot/viewMaterial.htm?id=513880
<p>This is a free, online textbook offered by American Mathematical Society (AMS). "This volume contains the written versions of sixteen of the original eighteen addresses presented at the American Mathematical Society's Centennial Symposium Mathematics into the Twenty-first Century held from Augu8-12, 1988."</p>Thu, 13 Jan 2011 18:20:11 GMTFelix E. Browder, Editor American Mathematical SocietyVolume I: A Semicentennial History of the American Mathematical Society, 1888--1938
https://www.merlot.org/merlot/viewMaterial.htm?id=513890
<p>This is a free, online textbook offered by American Mathematical Society (AMS). According to the editor, "In order to give a definite, even though a very slight, suggestion as to the mathematical research of the outstanding men of the period 1888-1938, and to present an illuminating background for the history of the Society, condensed biographies and complete bibliographies (in almost every case) are brought together for the group of past Presidents of the Society."</p>Thu, 13 Jan 2011 18:15:19 GMTRaymond Clare Archibald American Mathematical SocietyAMS History of Mathematics, Volume 1: A Century of Mathematics in America, Part I
https://www.merlot.org/merlot/viewMaterial.htm?id=513888
<p>This is the first in a two-volume collection of historical articles, newly written and reprinted, that are glimpses of America's mathematical past. The volumbe starts with "reprinted accounts of the early days of the Society by Thomas Fiske. Other subjects are mathematicians, institutions, organizations, books, computers, political events, refugees, war work, social currents, meetings, working conditions, and of course mathematics itself."</p>Thu, 13 Jan 2011 18:01:20 GMTPeter Duren, Editor American Mathematical SocietyProofs and Concepts: the fundamentals of abstract mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=447329
<p>This is a free, online textbook. According to the author, "This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics."</p>Mon, 26 Apr 2010 21:59:54 GMTDave Witte Morris University of LethbridgeAn Introduction to Proofs and the Mathematical Vernacular
https://www.merlot.org/merlot/viewMaterial.htm?id=447274
<p>This is a free, online textbook. According to the author, "The typical university calculus sequence, which serves majors in the physical sciences and engineering as well as mathematics, emphasizes calculational technique. In upper level mathematics courses, however, students are expected to operate at a more conceptual level, in particular to produce "proofs" of mathematical statements. To help students make the transition to more advanced mathematics courses, many university mathematics programs include a "bridge course". Many texts have been written for such a course. I have taught from a couple of them, and have looked at numerous others. These various texts represent different ideas for what a bridge course should emphasize. Not having found a text that was a good fit with my own ideas, I decided to try to write one of my own."</p>Mon, 26 Apr 2010 19:37:42 GMTMartin Day University of VermontFunctional Analysis
https://www.merlot.org/merlot/viewMaterial.htm?id=440425
<p>This is a free, online wikibook, so its contents are continually being updated and refined. According to the authors, "The book consists of two parts. The first part covers the basics of Banach spaces theory with the emphasis on its applications. The second part covers topological vector spaces, especially locally convex ones, generalization of Banach spaces. In both parts, we give principal results e.g., the closed graph theorem, resulting in some repetition. One reason for doing this organization is that one often only needs a Banach-version of such results. Another reason is that this approach seems more pedagogically sound; the statement of the results in their full generality may obscure its simplicity. Exercises are meant to be unintegrated part of the book. They can be skipped altogether, and the book should be fully read and understood. Some alternative proofs and additional results are relegated as exercises when their inclusion may disrupt the flow of the exposition."</p>Mon, 22 Mar 2010 19:03:16 GMTVarious Authors WikiBooksApplicable Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=440128
<p>This is a free, online wikibook, so it is continually being updated and refined. The topics include: Systems of Equations, Matrices, Univariate Data, Sets, Transformations, Probability, Counting Techniques, Bivariate Data, Linear Programming and Graphical Solutions, Probability Distributions, and Odds.</p>Fri, 19 Mar 2010 22:31:08 GMTVarious Authors WikiBooks