tag:open.umn.edu,2005:/opentextbooks/textbooks?commit=Go&page=19&term=Mathematics+%26+Statistics++Open Textbook Library - Search results for "Mathematics & Statistics "2018-09-07T17:21:46Zhttps://open.umn.edu/assets/common/favicon/favicon-1594c2156c95ca22b1a0d803d547e5892bb0e351f682be842d64927ecda092e7.icohttps://open.umn.edu/assets/library/otl_logo-f9161d5c999f5852b38260727d49b4e7d7142fc707ec9596a5256a778f957ffc.png1602018-09-07T17:21:46Z2024-01-22T14:51:55ZApplied Discrete Structures<img alt="Read more about Applied Discrete Structures" title="Applied Discrete Structures cover image" class="cover " width="384" height="497" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MjQ1MSwicHVyIjoiYmxvYl9pZCJ9fQ==--8df3306afe8c3f0bb9594b5c490e00535bdad937/125mzegz-front-shortedge-384.jpg" />In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach andmove them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. 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. It includes: Chapter-by-chapter comments on subtopics that emphasize the pitfalls to avoid; Suggested coverage times; Detailed solutions to most even-numbered exercises; Sample quizzes, exams, and final exams. This textbook has been used in classes atCasper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).1582018-09-07T17:21:46Z2024-03-25T13:00:26ZThe Adventure of Physics - Vol. V: Motion Inside Matter - Pleasure, Technology, and Stars<img alt="Read more about The Adventure of Physics - Vol. V: Motion Inside Matter - Pleasure, Technology, and Stars" title="The Adventure of Physics - Vol. V: Motion Inside Matter - Pleasure, Technology, and Stars cover image" class="cover " width="400" height="563" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTMzLCJwdXIiOiJibG9iX2lkIn19--510ce8514b535808a43f4aba6c1df6dec70db354/0000AdPhysFiv.png" />This book is written for anybody who is curious about nature and motion. Curiosity about how bodies, images and empty space move leads to many adventures. This volume presents the best adventures about the motion inside people, inside animals, and inside any other type of matter – from the largest stars to the smallest nuclei. Motion inside bodies – dead or alive – is described by quantum theory. Quantum theory describes all motion with the quantum of action h, the smallest change observed in nature. Building on this basic idea, the text first shows how to describe life, death and pleasure. Then, the text explains the observations of chemistry, materials science, astrophysics and particle physics. In the structure of physics, these topics correspond to the three ‘quantum' points in Figure 1. The story of motion inside living and non-living matter, from the coldest gases to the hottest stars, is told here in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one sur- prise that makes the reader think. Also numerous interesting challenges are proposed. The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.' Clar- ifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them. Enjoy it!1572018-09-07T17:21:46Z2024-03-18T13:00:22ZThe Adventure of Physics - Vol. IV: The Quantum of Change<img alt="Read more about The Adventure of Physics - Vol. IV: The Quantum of Change" title="The Adventure of Physics - Vol. IV: The Quantum of Change cover image" class="cover " width="402" height="567" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTMyLCJwdXIiOiJibG9iX2lkIn19--cc48ffd5edd7d89a71d652e1764357e55ff722b2/9781447560371.png" />This book is written for anybody who is curious about nature and motion. Have you ever asked: Why do people, animals, things, images and space move? The answer leads to many adventures; this volume presents those due to the discovery that there is a smallest change value in nature. This smallest change value, the quantum of action, leads to what is called quantum physics. In the structure of modern physics, quantum physics covers three points; this volume covers the introduction to the point in the lower right: the foundations of quantum theory. The present introduction to quantum physics arose from a threefold aim I have pursued since 1990: to present the basics of motion in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on general physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one surprise or provocation for the reader to think about. Numerous interesting challenges are proposed. The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.' Clarifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them. Enjoy it!1562018-09-07T17:21:46Z2024-01-22T14:51:46ZThe Adventure of Physics - Vol. III: Light, Charges, and Brains<img alt="Read more about The Adventure of Physics - Vol. III: Light, Charges, and Brains" title="The Adventure of Physics - Vol. III: Light, Charges, and Brains cover image" class="cover " width="400" height="562" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTMxLCJwdXIiOiJibG9iX2lkIn19--a7c37305b3aa8282a0e640c32daf43ff7fae6156/0000AdPhysThr.png" />This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and space move leads to many adventures. This volume presents the adventures one encounters when exploring everything electric. The story ranges from the weighing of electric current to the use of magnetic fields to heal bone fractures and up to the understanding of the human brain. In the structure of physics, shown in Figure 1, motion due to electricity is the most fascinating aspect of the starting point at the bottom. Indeed, almost everything around us is due to electric processes. The present introduction to electricity, magnetism, light and the brain is the third of a six-volume overview of physics that arose from a threefold aim that I have pursued since 1990: to present motion in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on general physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one surprise or provocation for the reader to think about. Numerous interesting challenges are proposed. The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.' Clar- ifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them. Enjoy it!1552018-09-07T17:21:46Z2024-03-18T13:00:18ZThe Adventure of Physics - Vol. II: Relativity<img alt="Read more about The Adventure of Physics - Vol. II: Relativity" title="The Adventure of Physics - Vol. II: Relativity cover image" class="cover " width="399" height="563" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTMwLCJwdXIiOiJibG9iX2lkIn19--3b13215342a7058b1de151d113b0743c8385946f/0000AdPhysTwo.png" />This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and empty space move leads to many adven- tures. This volume presents the best of them in the domains of relativity and cosmology. In the study of motion – physics – special and general relativity form two important building blocks. Special relativity is the exploration of the energy speed limit c. General relativity is the exploration of the force limit c4/4G. The text shows that in both domains, all equations follow from these two limit values. This simple, intuitive and unusual way of learning relativity should reward the curiosity of every reader – whether student or professional. The present volume is the second of a six-volume overview of physics that arose from a threefold aim that I have pursued since 1990: to present motion in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on general physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one surprise or provocation for the reader to think about. Numerous interesting challenges are proposed. The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.' Clar- ifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them. Enjoy it!1532018-09-07T17:21:46Z2024-01-22T14:51:55ZEducational Psychology - Second Edition<img alt="Read more about Educational Psychology - Second Edition" title="Educational Psychology - Second Edition cover image" class="cover " width="558" height="792" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NjM4LCJwdXIiOiJibG9iX2lkIn19--941ae02e96adff6b6f47335f600f6a9a5e5b767c/0000EducatPsy.png" />Chapters in the text can be assigned either from beginning to end, as with a conventional printed book, or they can be selected in some other sequence to meet the needs of particular students or classes. In general the first half of the book focuses on broader questions and principles taken from psychology per se, and the second half focuses on somewhat more practical issues of teaching. But the division between “theory” and “practice” is only approximate; all parts of the book draw on research, theory, and practical wisdom wherever appropriate. Chapter 2 is about learning theory, and Chapter 3 is about development; but as we point out, these topics overlap with each other as well as with the concerns of daily teaching. Chapter 4 is about several forms of student diversity (what might be called individual differences in another context), and Chapter 5 is about one form of diversity that has become prominent in schools recently—students with disabilities. Chapter 6 is about motivation, a topic that is heavily studied by psychological researchers, but that also poses perennial challenges to classroom teachers. Following these somewhat more basic psychological chapters, we turn to several lasting challenges of classroom life—challenges that seem to be an intrinsic part of the job. Chapter 7 offers ideas about classroom management; Chapter 8, ideas about communicating with students; Chapter 9, about ways to assist students' complex forms of thinking; and Chapter 10, about planning instruction systematically. The book closes with two chapters about assessment of learning: Chapter 11 focuses on teachers' own efforts to assess students, and Chapter 12 focuses on standardized measures of assessment. We have organized material and features in ways that we hope will allow for a variety of students, instructors, and institutions to use the book. For instructors and courses that seek a strong focus on research and the research process, for example, we have included an extra “chapter” on research methods—Appendix C, “The Reflective Practitioner”—that discusses the nature of research and the research process. We have also included a set of research-related case studies in Appendix B, “Deciding for yourself about the research”, that describe a number of particular educational research programs or topics in detail and that invite students to reflect on the quality and implications of the research. Whether or not a strong focus on research is a priority in your particular course, there are additional features of the book that are intended to help students in learning about educational psychology. In particular, each chapter ends with a “Chapter summary”, a list of “Key terms”, and links to Internet sites (called “Further resources”) relevant to the themes of the chapter. One of the sites that is cited frequently and that may be particularly helpful to instructors is the teachingedpsych wiki (http://teachingedpsych.wikispaces.com/), an archive of hundreds of teaching and learning materials that supports the teaching of introductory educational psychology. Teachingedpsych is a project of the Special Interest Group on the Teaching of Educational Psychology (TEP SIG), affiliated with the American Educational Research Association. All in all, we hope that you find Educational Psychology a useful and accessible part of your education. If you are preparing to be a teacher, good luck with your studies and your future! If you are an instructor, good luck with helping your students learn about this subject!1502018-09-07T17:21:46Z2024-01-22T14:51:55ZAlgorithms and Data Structures With Applications to Graphics and Geometry<img alt="Read more about Algorithms and Data Structures With Applications to Graphics and Geometry" title="Algorithms and Data Structures With Applications to Graphics and Geometry cover image" class="cover " width="519" height="734" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTI4LCJwdXIiOiJibG9iX2lkIn19--65e52defbc450ae4a042b4527b2bcd3746a87021/0000AlgoDataS.png" />An introductory coverage of algorithms and data structures with application to graphics and geometry.1382018-09-07T17:21:45Z2024-01-22T14:51:46ZThe Adventure of Physics - Vol. I: Fall, Flow, and Heat<img alt="Read more about The Adventure of Physics - Vol. I: Fall, Flow, and Heat" title="The Adventure of Physics - Vol. I: Fall, Flow, and Heat cover image" class="cover " width="401" height="565" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTIwLCJwdXIiOiJibG9iX2lkIn19--d31d89e88c8881c957e22daf29bdb84a7c1d651b/9781447545545.png" />This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and space move leads to many adventures. This volume presents the best of them in the domain of everyday life. Carefully observing everyday motion allows us to deduce six essential statements: everyday motion is continuous, conserved, relative, reversible, mirror-invariant – and lazy. Yes, nature is indeed lazy: in every motion, it minimizes change. This text explores how these six results are deduced and how they fit with all those observations that seem to contradict them. In the structure of modern physics, shown in Figure 1, the results on everyday motion form the major part of the starting point at the bottom. The present volume is the first of a six-volume overview of physics. It resulted from a threefold aim I have pursued since 1990: to present motion in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on general physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one surprise or provocation for the reader to think about. Numerous interesting challenges are proposed. The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.' Clarifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them. Enjoy it!1342018-09-07T17:21:45Z2024-01-22T18:49:54ZIntermediate Algebra<img alt="Read more about Intermediate Algebra" title="Intermediate Algebra 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/eyJfcmFpbHMiOnsiZGF0YSI6MTE2LCJwdXIiOiJibG9iX2lkIn19--4b89765751ff53a85e091ad76cb1cb0920b3cee4/9781453347485.png" />It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, Elementary and Intermediate Algebra. This textbook by John Redden, Intermediate Algebra, is the second part. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study in applications found in most disciplines. Used as a standalone textbook, Intermediate Algebra offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged. Intermediate Algebra is written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. A more modernized element, embedded video examples, are present, but the importance of practice with pencil and paper is consistently stressed. Therefore, this text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.1202018-09-07T17:21:44Z2024-01-22T14:51:47ZCalculus for the Life Sciences: A Modeling Approach Volume 2<img alt="Read more about Calculus for the Life Sciences: A Modeling Approach Volume 2" title="Calculus for the Life Sciences: A Modeling Approach Volume 2 cover image" class="cover " width="185" height="240" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTAzLCJwdXIiOiJibG9iX2lkIn19--680bc2a643130ef1990b3d538f7f7159ef7961a6/0000CalcLSVo2.png" />Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course. In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There are two chapters on non-linear difference equations and on systems of two difference equations and two chapters on differential equations and on systems of differential equation.
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