tag:open.umn.edu,2005:/opentextbooks/textbooks?commit=Go&page=2&term=Mathematics+%26+Statistics++Open Textbook Library - Search results for "Mathematics & Statistics "2019-06-22T16:27:43Zhttps://open.umn.edu/assets/common/favicon/favicon-1594c2156c95ca22b1a0d803d547e5892bb0e351f682be842d64927ecda092e7.icohttps://open.umn.edu/assets/library/otl_logo-f9161d5c999f5852b38260727d49b4e7d7142fc707ec9596a5256a778f957ffc.png7272019-06-22T16:27:43Z2024-01-22T14:52:18ZTeaching Mathematics at Secondary Level<img alt="Read more about Teaching Mathematics at Secondary Level" title="Teaching Mathematics at Secondary Level cover image" class="cover " width="160" height="241" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NjcyLCJwdXIiOiJibG9iX2lkIn19--51c74badf4924aaec35a5887a99ce98fd890dbc0/9781783741397.jpg" />Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present. This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.7472019-07-21T14:52:52Z2024-01-22T14:52:04ZIntroduction to Financial Mathematics Concepts and Computational Methods<img alt="Read more about Introduction to Financial Mathematics Concepts and Computational Methods" title="Introduction to Financial Mathematics Concepts and Computational Methods cover image" class="cover " width="439" height="555" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6Njk0LCJwdXIiOiJibG9iX2lkIn19--1437c47278879f46dd10c57c951594b9d50a660d/0000IntFinCom.png" />Introduction to Financial Mathematics: Concepts and Computational Methods serves as a primer in financial mathematics with a focus on conceptual understanding of models and problem solving. It includes the mathematical background needed for risk management, such as probability theory, optimization, and the like. The goal of the book is to expose the reader to a wide range of basic problems, some of which emphasize analytic ability, some requiring programming techniques and others focusing on statistical data analysis. In addition, it covers some areas which are outside the scope of mainstream financial mathematics textbooks. For example, it presents marginal account setting by the CCP and systemic risk, and a brief overview of the model risk. Inline exercises and examples are included to help students prepare for exams on this book.8432020-06-25T18:41:55Z2023-06-02T17:34:42ZA Cool Brisk Walk Through Discrete Mathematics - version 2.2<img alt="Read more about A Cool Brisk Walk Through Discrete Mathematics - version 2.2" title="A Cool Brisk Walk Through Discrete Mathematics - version 2.2 cover image" class="cover " width="432" height="648" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NzAzNCwicHVyIjoiYmxvYl9pZCJ9fQ==--1bbbbfbac9d739201e19f09ec7daf3252028d484/front_cover%20(1).png" />A Cool Brisk Walk Through Discrete Mathematics - and its companion site "allthemath" - are completely-and-forever-free-and-open-source educational materials dedicated to the mathematics that budding computer science practitioners actually need to know. They feature the fun and addictive teaching of award-winning lecturer Dr. Stephen Davies of the University of Mary Washington in Fredericksburg, Virginia!8862020-07-16T17:43:12Z2023-10-30T13:18:10ZTransition to Higher Mathematics: Structure and Proof - Second Edition<img alt="Read more about Transition to Higher Mathematics: Structure and Proof - Second Edition" title="Transition to Higher Mathematics: Structure and Proof - Second Edition cover image" class="cover " width="652" height="844" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTI3MywicHVyIjoiYmxvYl9pZCJ9fQ==--6f297108a6aead108556d98f65a6fe148f361aa4/highmath.png" />This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers.9442021-01-05T02:00:47Z2024-02-12T14:18:49ZMath in Society: Mathematics for liberal arts majors<img alt="Read more about Math in Society: Mathematics for liberal arts majors" title="Math in Society: Mathematics for liberal arts majors cover image" class="cover " width="602" height="708" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTkxMSwicHVyIjoiYmxvYl9pZCJ9fQ==--bde84e7abc1a958dfc652110a9a5865287a4586e/Mathdjqwjodjo.PNG" />We dedicate this book to our students. May you have greater ease in paying for college and grow your proficiency and confidence in math.9592021-01-31T17:15:47Z2024-03-18T13:22:31ZTechnical Mathematics - 2nd Edition<img alt="Read more about Technical Mathematics - 2nd Edition" title="Technical Mathematics - 2nd Edition cover image" class="cover " width="350" height="453" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MTEzNTQsInB1ciI6ImJsb2JfaWQifX0=--1296ddf22f056a22a51f7b3608a21da16bd5681b/gjvy7eg-front-shortedge-384-doubled-350x453.png" />This developmental-level mathematics textbook is intended for career-technical students.11422022-03-01T23:46:08Z2024-01-22T14:52:30ZMathematics Methods for Early Childhood<img alt="Read more about Mathematics Methods for Early Childhood" title="Mathematics Methods for Early Childhood cover image" class="cover " width="683" height="1024" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzQzMywicHVyIjoiYmxvYl9pZCJ9fQ==--92eaba69662051a55776b7086acaa9c44eddbdc4/cover-683x1024.jpg" />Welcome to Early Childhood Mathematics! This course satisfies the Early Childhood Unified requirements in the state of Kansas for a teaching license Birth to Grade 3. Most people agree that early childhood includes the period from infancy until eight years of age, characterized by rapid and complex growth in physical, cognitive, and social domains. Math skills must be taught in early childhood. Children should be provided a foundation to succeed in elementary school and beyond. Teachers should focus lessons in early childhood around the basic skills that will help to advance future mathematics. From preschool to the end of elementary school, children are setting the foundation for future life skills. Learning mathematics is “a ‘natural’ and developmentally appropriate activity for young children” (Ginsberg, Lee, and Boyd, 2008). Through their everyday interactions with the world, many children develop informal concepts about space, quantity, size, patterns, and operations. Unfortunately, not all children have the same opportunities to build these informal and foundational concepts of mathematics in their day-to-day lives (Sherman-LeVos, 2010). Young children are naturally curious, and the best time to begin mathematics is at a time while the young child’s brain is rapidly developing. Mathematics in early childhood helps children develop critical thinking and reasoning skills early on and it’s the key to the foundation for success in their formal schooling years.12242022-08-08T16:46:07Z2024-01-22T14:52:33ZTea Time Linear Algebra Explorations in Mathematics - 2nd Edition<img alt="Read more about Tea Time Linear Algebra Explorations in Mathematics - 2nd Edition" title="Tea Time Linear Algebra Explorations in Mathematics - 2nd Edition cover image" class="cover " width="383" height="500" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6Mzg5NCwicHVyIjoiYmxvYl9pZCJ9fQ==--fe3446485e3ff29f76b8a233514458028f9a2a72/titlepage-2.png" />This creation is an all-purpose open source textbook for linear algebra classes of all ilks. Inside you will find a complete and engaging introduction to linear algebra, making it a perfect primary resource for classroom study. Take a ride through the landscape of linear algebra from basic mechanics through inner product spaces. 386 pages Over 1000 exercises with over 200 detailed solutions and hundreds more answers Over 250 illustrations Nearly 150 live SageMathCell links Open source Now with online homework and course management at MyOpenMath! Presented in a conversational style with plenty of motivation, illustrations, applications, and theory, this text should be a comfortable read for most beginning mathematicians. Readers and instructors alike will appreciate the numerous detailed exercise solutions accompanying each section. Examine the distribution of bicycles in the Capital Bikeshare system, model an un-preheated oven baking brownies, reproduce sounds via Fourier series, explore reptiles like the one decorating this cover, and more. Read proofs of the rank and nullity theorem, the determinant expansion formula, existence and uniqueness of solutions of linear systems and others. It's all here in Tea Time Linear Algebra.12262022-08-16T20:33:22Z2024-03-25T13:29:52ZMathematics for Biomedical Physics<img alt="Read more about Mathematics for Biomedical Physics" title="Mathematics for Biomedical Physics cover image" class="cover " width="116" height="150" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6MzkwOSwicHVyIjoiYmxvYl9pZCJ9fQ==--6c936723780bd0a1ae33184b5416f1711d59ad41/thumbnail.jpeg" />Mathematics for Biomedical Physics is an open access peer-reviewed textbook geared to introduce several mathematical topics at the rudimentary level so that students can appreciate the applications of mathematics to the interdisciplinary field of biomedical physics. Most of the topics are presented in their simplest but rigorous form so that students can easily understand the advanced form of these topics when the need arises. Several end-of-chapter problems and chapter examples relate the applications of mathematics to biomedical physics. After mastering the topics of this book, students would be ready to embark on quantitative thinking in various topics of biology and medicine13992023-04-24T13:33:50Z2023-12-01T19:47:46ZContemporary Mathematics<img alt="Read more about Contemporary Mathematics" title="Contemporary Mathematics cover image" class="cover " width="546" height="716" data-controller="common--cover" data-placeholder="/assets/common/placeholder-0e0607cbc50663ddb9e8fd188058bcd2630c730ef6ee322801278607b7d5af8e.png" src="/rails/active_storage/blobs/redirect/eyJfcmFpbHMiOnsiZGF0YSI6NjAxOCwicHVyIjoiYmxvYl9pZCJ9fQ==--b2f6a20d0e4484c956b64f00e97f9ea48aa7e97e/Screenshot%202023-04-24%20at%208.31.58%20AM.png" />Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields. Print copies of this book will be available for the fall 2023 semester. You can sign up to be notified when print copies are available.
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