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4434How We got from There to Here: A Story of Real Analysis
http://www.merlot.org/merlot/viewMaterial.htm?id=896870
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context. However, this is not a history of analysis book. It is an introductory analysis textbook, presented through the lens of history. As such, it does not simply insert historical snippets to supplement the material. The history is an integral part of the topic, and students are asked to solve problems that occur as they arise in their historical context.This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem.Beginning and Intermediate Algebra
http://www.merlot.org/merlot/viewMaterial.htm?id=894557
Beginning and Intermediate Algebra was designed to reduce textbook costs to students while not reducing the quality of materials. This text includes many detailed examples for each section along with several problems for students to practice and master concepts. Complete answers are included for students to check work and receive immediate feedback on their progress.Topics covered include: pre-algebra review, solving linear equations, graphing linear equations, inequalities, systems of linear equations, polynomials, factoring, rational expressions and equations, radicals, quadratics, and functions including exponential, logarithmic and trigonometric.Each lesson also includes a World View Note which describes how the lesson fits into math history and into the world, including China, Russia, Central America, Persia, Ancient Babylon (present day Iraq) and more.Mathematics Grade 1
http://www.merlot.org/merlot/viewMaterial.htm?id=891754
This first grade textbook provides an orderly development of historically grade level appropriate content that contributes to the proper evolution of elementary school mathematics. It was created from some of the 24,377 modules in the CONNEXIONS collection, housed at Rice University, Houston, Texas. This textbook has from its creation in 2009 been the pioneering Open Educational Resource (OER) textbook for this grade level.Introductory Statistics
http://www.merlot.org/merlot/viewMaterial.htm?id=880392
This textbook is designed as a one-semester introductory statistics course for general education students. The authors believe that the students in this course are best served by a focus on the core material and not by an exposure to a plethora of peripheral topics. Therefore in writing this book they sought to present material that comprises fully a central body of knowledge that is defined according to convention, realistic expectation with respect to course duration and students’ maturity level, and their professional judgment and experience.Orange Grove Texts Plus: Open Textbooks
http://www.merlot.org/merlot/viewMaterial.htm?id=864531
The Orange Grove Digital Repository and University Press of Florida have formed a partnership to offer students affordable, accessible, and adaptable open textbooks that you can download using a PDF Reader to mobile devices and computers. Here you find open textbooks printed/published by the University Press of Florida.Note: Test bank questions for texts by University Press of Florida are being developed by WebAssign. Openstax College has test bank questions by LearningPod and Wiley. The open textbooks here are listed under either Creative Commons 2.5 or 3.0 and this information is usually stated at the top the first page.Project LATin: Latin America Open Textbooks Initiative
http://www.merlot.org/merlot/viewMaterial.htm?id=864657
The LATin Project is Latin America's Open Textbook Initiative is to publish and make available open textbooks in Spanish and Portuguese for Latin American schools and universities. The LATin Project, modeled after the Connexions(TM) Project, is an online collaborative writing project where teachers, professors, consultants, and experts, as a group community, share their teaching experiences, knowledge, and expertise in writing and publishing high-quality open textbooks that will be affordable and available to both students and educators.Their first open textbooks were released and made available in January 2014 and their goal is to eventually provide students with open textbooks in all areas/fields of study. The open textbook Creative Common License will be listed under the Latin American country that contributed/published the material content for the open textbook.BCcampus - OpenEd
http://www.merlot.org/merlot/viewMaterial.htm?id=857441
BCcampus - OpenEd is Canada's open textbook initiative to make open textbooks available for online teaching and learning. Here you will find open textbooks in their directory that are currently being used in Canada, the United States and elsewhere at college campuses. Open Textbook Library
http://www.merlot.org/merlot/viewMaterial.htm?id=849255
Open Textbook Library, aka, The Open Academic Textbook Catalog is hosted and maintained by the University of Minnesota. This catalog contains over 150 open textbooks covering Accounting, Business, Economics, Humanities, IT, Law, Math/Statistics, Natural/Physical and Social Sciences.The Cubic Formula Tutorials of Tartaglia, Cardano and Vieta
http://www.merlot.org/merlot/viewMaterial.htm?id=845852
There are several formulas for solving the cubic equation. The earliest are usually credited to the sixteenth century mathematicians; del Ferro, Tartaglia and Cardano. Present day authors usually mention Tartaglia and Cardano, but del Ferro and Vieta also made important contributions. In this tutorial we choose to label our formulas with the names Tartaglia, Cardano, and Vieta. The Italian mathematicians Scipione del Ferro (1465–1526), Niccolò Tartaglia (1500–1557), Girolamo Cardano (1501–1576), Rafael Bombelli (1526-1572), and the French mathematician Franciscus Vieta (1540-1603), are credited with using a formula to calculating a real root of the depressed cubic equation . For convenience, we will include the possibility of the remaining two roots being complex, and thus begin a tutorial for exploring some to the possibilities for solving cubic equations. An introductory module for some of the history about cubic formulae is ״The Origin of Complex Numbers.״Calculus 2b - Real Functions in Several Variables
http://www.merlot.org/merlot/viewMaterial.htm?id=839091
This is a free textbook offered by BookBoon.'This book requires knowledge of Linear Algebra and Calculus 1.'The table of contents includes:The range of a function in several variables The plane integralThe space integralThe line integralImproper integralsVector analysis