One Mathematical Cat, Please! Understanding Calculus


Book Description

The entire book is free, online, at: http: //www.onemathematicalcat.org/Math/Calculus_obj/tableOfContentsCalculus.htm This print version is just a convenience for those of us who like to highlight, write in the margins, and feel the paper between our fingers. There's also a Complete Solution Manual, available in both print and digital versions. It has completely written out answers to all the in-section and end-of-section exercises, and the sample tests. An entire website supports this book: http: //www.onemathematicalcat.org Algebra I and II, Geometry, Precalculus (for when you need to brush up on stuff) Calculus index cards (hold the entire course in the palm of your hand) Please don't hesitate to contact the author, Dr. Carol JVF Burns, with any questions or comments. My email is available from my homepage: http: //www.onemathematicalcat.org




One Mathematical Cat, Please! a First Course in Algebra


Book Description

This is not just another algebra book. An entire website supports and extends this text. 400+ web exercises: unlimited, randomly-generated practice and worksheets. The book and website each stand alone as a learning environment; together, they're a dynamic duo. Visit http: //www.onemathematicalcat.org and go to Algebra I: then Geometry, Algebra II, Precalculus, and Calculus. While you're learning algebra, you'll also learn that numbers have lots of different names, and that math is the renaming tool. You'll learn that "x" is to math as "cat" is to English. The original "cat" book (One Mathematical Cat, Please! Ideas for anyone who wants to understand mathematics) is also available on Amazon. If you only need the math language ideas, get the original "cat" book. If you need Algebra too, get this book. The Algebra book has the original cat book embedded in it, so you don't need both! Reviewers and users write: " ... wonderfully written and crafted with a care you rarely see" " ... will do a great service to the mathematical educational world" " ... the need for this book is immense" " ... I found meat, potatoes, and pie on every page. It's all dessert." " ... never seen anything so supportive and affirming and reassuring and inspiring as the way you talk us through topics" "THIS IS GREAT!!!! ... this is helping me get heads above the competition. You rock!!!! OneMathematicalCat drives me wild." There are over 175 web exercises that go directly with this book at: http: //www.onemathematicalcat.org/algebra_book/online_problems/table_of_contents.htm All free. All agreeing perfectly with the text---same order of lessons, same notation, same writing style. Free randomly-generated exercises. Free unlimited worksheets/quizzes. Algebra Pinball. Never again will someone say they don't have enough practice. Bound, printed copies are great. You can highlight, write margin notes, and do exercises right in the book. So, the next time you see "x," think "One Mathematical Cat, Please!" and laugh! Enjoy!




One Mathematical Cat, Please!


Book Description

Want a fresh start on math? View it in a totally new way? Then read this little book. You'll learn that numbers have lots of different names, and math is the renaming tool. You'll learn that "x" is to math as "cat" is to English. It's an easy read. If you can add, subtract, multiply and divide with numbers like 1, 2, and 3, then you can read this book. Supplement any math class, 7th grade through college. Use for self-learners, home-schoolers, math lovers, math haters. Reviewers and users write: " . . . wonderfully written and crafted with a care you rarely see" " . . . will do a great service to the mathematical educational world" " . . . the need for this book is immense" " . . . I found meat, potatoes, and pie on every page. It's all dessert." " . . . never seen anything so supportive and affirming and reassuring and inspiring as the way you talk us through topics" "THIS IS GREAT!!!! . . . this is helping me get heads above the competition. You rock!!!! One Mathematical Cat drives me wild." An entire website (http: //www.onemathematicalcat.org) grew from this book: Algebra 1, Geometry, Algebra 2, Precalculus, Calculus. Free randomly-generated exercises. Free unlimited worksheets. Algebra Pinball. All the same style. All the same voice. All building on the ideas in this little book. Bound, printed copies are great for students: they can highlight, write margin notes, and do exercises right in the book. So, the next time you see "x," maybe you'll think "One Mathematical Cat, Please!" and laugh! Enjoy!




Schaum's Outline of Calculus, 6th Edition


Book Description

Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 1,100 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You’ll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you 1,105 fully solved problems Concise explanations of all calculus concepts Expert tips on using the graphing calculator Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!




Calculus for Cats


Book Description

Approximately four thousand years ago, aliens invaded Earth and began implementing a diabolical plan to enslave humanity. These aliens have come to be known as "cats." They had one overwhelmingly superior ability. They understood calculus. And humans did not. The plan has been wildly successful and the proof is obvious: cats rule the world and very few humans understand calculus. Before you decide that calculus is beyond you, consider this: if cats can learn it, so can you.-- Introduction.




Quick Calculus


Book Description

Quick Calculus 2nd Edition A Self-Teaching Guide Calculus is essential for understanding subjects ranging from physics and chemistry to economics and ecology. Nevertheless, countless students and others who need quantitative skills limit their futures by avoiding this subject like the plague. Maybe that's why the first edition of this self-teaching guide sold over 250,000 copies. Quick Calculus, Second Edition continues to teach the elementary techniques of differential and integral calculus quickly and painlessly. Your "calculus anxiety" will rapidly disappear as you work at your own pace on a series of carefully selected work problems. Each correct answer to a work problem leads to new material, while an incorrect response is followed by additional explanations and reviews. This updated edition incorporates the use of calculators and features more applications and examples. ".makes it possible for a person to delve into the mystery of calculus without being mystified." --Physics Teacher




Calculus: A Rigorous First Course


Book Description

Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.




Multivariable Mathematics


Book Description

Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.




The Road to Reality


Book Description

**WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin




Knowing and Teaching Elementary Mathematics


Book Description

Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.