tag:open.umn.edu,2005:/opentextbooks/textbooks?utf8=%E2%9C%93&term=math&commit=GoOpen Textbook Library - Search results for "math"2018-09-07T17:21:43Zhttps://open.umn.edu/assets/common/favicon/favicon-1594c2156c95ca22b1a0d803d547e5892bb0e351f682be842d64927ecda092e7.icohttps://open.umn.edu/assets/library/otl_logo-f9161d5c999f5852b38260727d49b4e7d7142fc707ec9596a5256a778f957ffc.png982018-09-07T17:21:43Z2024-01-22T14:52:15ZMath in Society - Edition 2.5<img alt="Read more about Math in Society - Edition 2.5" title="Math in Society - Edition 2.5 cover image" class="cover " width="212" height="275" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6ODEsInB1ciI6ImJsb2JfaWQifX0=--58155eb9d2b44fcde21746f5ba7ca2386b9af994/0000MathinSoc.png" />Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).1542018-09-07T17:21:46Z2024-01-22T18:51:40ZFundamentals of Mathematics<img alt="Read more about Fundamentals of Mathematics" title="Fundamentals of Mathematics cover image" class="cover " width="300" height="391" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTI5LCJwdXIiOiJibG9iX2lkIn19--80d93e1bea58eacfb420e04e6e72334556ff8c51/0000FundOfMat.png" />Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.1772018-09-07T17:21:47Z2024-01-22T14:52:16ZA Gentle Introduction to the Art of Mathematics<img alt="Read more about A Gentle Introduction to the Art of Mathematics" title="A Gentle Introduction to the Art of Mathematics cover image" class="cover " width="386" height="500" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTQ4LCJwdXIiOiJibG9iX2lkIn19--3ff9c1a6abcc9c8ac525a3248af3b47fdf55f272/0000GentleInt.png" />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. 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.2252018-09-07T17:21:49Z2023-08-31T14:09:59ZMathematical Reasoning: Writing and Proof, Version 2.1<img alt="Read more about Mathematical Reasoning: Writing and Proof, Version 2.1" title="Mathematical Reasoning: Writing and Proof, Version 2.1 cover image" class="cover " width="115" height="150" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTgzLCJwdXIiOiJibG9iX2lkIn19--907d5a846812bc61f3ee1f754f50935da20ec20e/9781492103851.png" />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: Develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting. Develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, and counterexamples. Develop the ability to read and understand written mathematical proofs. Develop talents for creative thinking and problem solving. Improve their quality of communication in mathematics. This includes improving writing techniques, reading comprehension, and oral communication in mathematics. Better understand the nature of mathematics and its language. This text also provides students with material that will be needed for their further study of mathematics.2372018-09-07T17:21:50Z2024-01-22T14:52:19ZSpiral Workbook for Discrete Mathematics<img alt="Read more about Spiral Workbook for Discrete Mathematics" title="Spiral Workbook for Discrete Mathematics cover image" class="cover " width="717" height="717" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTkzLCJwdXIiOiJibG9iX2lkIn19--5d4fd4901ce96041af8d9576e4e28e52ebd8d8ab/9781942341161.png" />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.Open SUNY Textbooks is an open access textbook publishing initiative established by State University of New York libraries and supported by SUNY Innovative Instruction Technology Grants. This initiative publishes high-quality, cost-effective course resources by engaging faculty as authors and peer-reviewers, and libraries as publishing service and infrastructure. The pilot launched in 2012, providing an editorial framework and service to authors, students and faculty, and establishing a community of practice among libraries. Participating libraries in the 2012- 2013 pilot include SUNY Geneseo, College at Brockport, College of Environmental Science and Forestry, SUNY Fredonia, Upstate Medical University, and University at Buffalo, with support from other SUNY libraries and SUNY Press. More information can be found at http://textbooks.opensuny.org.2432018-09-07T17:21:50Z2024-01-22T14:51:57ZIntroduction to Mathematical Analysis I - Second Edition<img alt="Read more about Introduction to Mathematical Analysis I - Second Edition" title="Introduction to Mathematical Analysis I - Second Edition cover image" class="cover " width="1237" height="1620" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTk2LCJwdXIiOiJibG9iX2lkIn19--e9dad07c48820fcbdc9ea1dee74f7a9bf85672e7/9781365605529.png" />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. The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts such as open and closed intervals. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of non-differentiable convex functions can be used as optional mathematical projects. In this way, the lecture notes are suitable for teaching students of different backgrounds. The second edition includes a number of improvements based on recommendations from students and colleagues and on our own experience teaching the course over the last several years. In this edition we streamlined the narrative in several sections, added more proofs, many examples worked out in detail, and numerous new exercises. In all we added over 50 examples in the main text and 100 exercises (counting parts).3942018-09-07T17:21:59Z2024-01-22T14:52:20ZDiscrete Mathematics: An Open Introduction - 3rd Edition<img alt="Read more about Discrete Mathematics: An Open Introduction - 3rd Edition" title="Discrete Mathematics: An Open Introduction - 3rd Edition cover image" class="cover " width="250" height="357" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NjY1LCJwdXIiOiJibG9iX2lkIn19--afffa2e44e6ac0596d7058e6314ecea92c28790d/discretemath.png" />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.3952018-09-07T17:21:59Z2024-01-22T14:52:15ZProofs and Concepts: The Fundamentals of Abstract Mathematics<img alt="Read more about Proofs and Concepts: The Fundamentals of Abstract Mathematics" title="Proofs and Concepts: The Fundamentals of Abstract Mathematics cover image" class="cover " width="1071" height="1397" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzI5LCJwdXIiOiJibG9iX2lkIn19--86688de28e75d5f9943e2537f494fd54aee7f1b3/0000ProandCon.png" />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.3962018-09-07T17:21:59Z2024-01-22T18:51:19ZApplied Finite Mathematics<img alt="Read more about Applied Finite Mathematics" title="textbook cover placeholder image" class="cover fallback " width="247" height="326" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" />Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.4442018-09-07T17:22:02Z2024-01-22T14:51:55ZMy Math GPS: Elementary Algebra Guided Problem Solving - 2016 Edition<img alt="Read more about My Math GPS: Elementary Algebra Guided Problem Solving - 2016 Edition" title="My Math GPS: Elementary Algebra Guided Problem Solving - 2016 Edition cover image" class="cover " width="1166" height="1435" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzczLCJwdXIiOiJibG9iX2lkIn19--b170d1ac81c58e6b0f86a68c00e6213e93a29c2e/0000MyMathGPS.png" />My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.
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