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There is a popular misconception that science is an impersonal, dispassionate, and thoroughly objective enterprise. Whereas most other human activities are dominated by fashions, fads, and personalities, science is supposed to be constrained by agreed rules of procedure and rigorous tests. It is the results that count, not the people who produce them. This is, […]

About this book This revised 5th edition is designed to provide the best preparation for your Cambridge IGCSE examination, and has been completely updated for the latest Mathematics 0580 and 0980 Core syllabus. Finding your way around To get the most out of this book when studying or revising, use the: • Contents list to […]

You are an AP Calculus student. Not too shabby! As you know, AP Calculus is one of the most challenging subjects in high school. You are studying mathematical ideas that helped change the world. Not that long ago, calculus was taught at the graduate level. Today, smart young people like yourself study calculus in high […]

This book is an introduction to Special Relativity (SR), which intends to be both comprehensive, in the sense of covering most of what a physicist will be presumed to know about relativity, and accessible to those at a reasonably early stage of their physics education. These aims are not incompatible. Learning about relativity does not […]

As we have prepared an updated edition our first priorities are to preserve, and to enhance, the qualities that have made previous editions so successful. In particular, we adopt the viewpoint of an applied mathematician with diverse interests in differential equations, ranging from quite theoretical to intensely practical–and usually a combination of both. Three pillars […]

Clear, Precise Writing Because a diverse group of students take this course, Julie Miller has written this manuscript to use simple and acces-sible language. Through her friendly and engaging writing style, students are able to understand the material easily. Exercise Sets The exercises at the end of each section are graded, varied, and carefully organized […]

Welcome to Elementary Algebra 2e, an OpenStax resource. This textbook was written to increase student access to high-quality learning materials, maintaining highest standards of academic rigor at little to no cost. About OpenStax OpenStax is a nonprofit based at Rice University, and it’s our mission to improve student access to education. Our first openly licensed […]

Welcome to your new algebra book! Let us try to explain why we believe you’ve made the right choice with this new edition. This probably isn’t your first go-round with either a textbook or other kind of guide to a school subject. You’ve probably had your fill of books to memorize lots of terms. This […]

ContentsCHAPTER 1Understanding the Real NumbersClassifying Real NumbersRational and Irrational RootsCHAPTER 2Properties of the Real NumbersCommutative and Associative PropertiesIdentity and Inverse PropertiesDistributive PropertyZero Factor PropertyCHAPTER 3The Number Line and Comparing NumbersThe Number LineComparing Numbers CHAPTER 4Absolute ValueDetermining Absolute ValueProperties of Absolute ValueCHAPTER 5Performing Operations with Real Numbers(Algebraic) Addition and Subtraction of Real Numbers(Algebraic) Multiplication and Division […]

Welcome to Tidy Modeling with R! This book is a guide to using a collection of software in the R programming language for model building called tidymodels, and it has two main goals: First and foremost, this book provides a practical introduction to how to use these specific R packages to create models. We focus […]

This book is about the calculus of variations which is a subject concerned mainly with optimization of functionals. However, because part of it is based on using ordinary calculus in solving optimization problems, “Calculus of Variations” in its original title is modified to become “Mathematics of Variation”. In fact, the book is essentially a collection […]

One thousand and one practice problems for statistics! That’s probably more than a pro-fessor would assign you in one semester (we hope!). And it’s more than you’d ever want to tackle in one sitting (and we don’t recommend you try). So why so many practice problems, and why this book? Many textbooks are pretty thin […]