Author: Paul Abbott

Publisher: McGraw-Hill

ISBN: 0071747605

Release Date: 2010-10-14

Genre: Mathematics

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## Understand Calculus A Teach Yourself Guide

## Understand Calculus

Is this book for me? This is a comprehensive introduction to calculus that will help you to progress to an advanced level. It offers a carefully graded series of lessons that introduce the basic concepts of differentiation and integration, and helps you to achieve understanding through clearly worked examples, diagrams and exercises. The ideal handbook for those studying pure and applied mathematics, engineering and allied sciences. How will it help me learn? NOT GOT MUCH TIME? One, five and ten-minute introductions to key principles to get you started. AUTHOR INSIGHTS Lots of instant help with common problems and quick tips for success, based on the author's many years of experience. TEST YOURSELF Tests in the book and online to keep track of your progress. EXTEND YOUR KNOWLEDGE Extra online articles at www.teachyourself.com to give you a richer understanding of calculus. FIVE THINGS TO REMEMBER Quick refreshers to help you remember the key facts. TRY THIS Innovative exercises illustrate what you've learnt and how to use it.
## Teach Yourself Calculus

While Teach Yourself Calculus is perfect for beginners who want to acquire a working knowledge of calculus, at the same time it is an excellent tool for anyone who wants to expand their knowledge beyond the basics. In a progressive, step-by-step fashion, the book builds from the ground up to offer comprehensive coverage of a range of more advanced topics such as multiple integrals. Each chapter features numerous worked examples and graded exercises.
## Calculus A Complete Introduction

Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration. Everything you will need to know is here in one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.
## Calculus For Dummies

Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.
## Teach Yourself VISUALLY Calculus

Calculus can test the limits of even the most advanced math students. This visual, easy-to-follow book deconstructs complex mathematical concepts in a way that’s infinitely easier to grasp. With clear, color-coded methods, you’ll get step-by-step instructions on solving problems using limits, derivatives, differentiation, curve sketching, and integrals. Easy access to concepts means you don’t have to sort through lengthy instructional text, and you can refer to the Appendix for a look at common differentiation rules, integration formulas, and trigonometric identities.
## Geometry and Trigonometry for Calculus

Geometry & Trigonometry for Calculus By Peter H. Selby If you need geometry and trigonometry as a tool for technical work … as a refresher course … or as a prerequisite for calculus, here’s a quick, efficient way for you to learn it! With this book, you can teach yourself the fundamentals of plane geometry, trigonometry, and analytic geometry … and learn how these topics relate to what you already know about algebra and what you’d like to know about calculus. You’ll work your way through geometry, numerical trigonometry, methods of trigonometric analysis, analytics, and limits—all the way up to the "front door" of calculus. Geometry and Trigonometry for Calculus is one of the Wiley Self-Teaching Guides. It’s been tested, rewritten, and retested until we’re sure you can teach yourself the concepts of geometry and trigonometry. And it’s programmed—so you work at your own pace. No prerequisites are needed. Objectives and self-tests tell you how you’re doing and allow you to skip ahead or find extra help if you need it. Frequent reviews and practice exercises reinforce what you learn. Wiley Self-Teaching Guides Astronomy, Moche Basic Physics, Kuhn Chemistry: Concepts and Problems, Houk How to Succeed in Organic Chemistry, Gordon Basic Electricity, Ryan Electronics, Kybett Ecology, Sutton Energy for Life, Allamong Plant Anatomy, Stevenson Quick Medical Terminology, Smith Human Anatomy, Ashley Dental Anatomy and Terminology, Ashley Math Skills for the Sciences, Pearson Thinking Metric, 2nd ed., Gilbert Using Graphs and Tables, Selby Geometry and Trigonometry for Calculus, Selby Quick Calculus, Kleppner BASIC, 2nd ed., Albrecht BASIC for Home Computers, Albrecht ANS COBOL, 2nd ed., Ashley Structured COBOL, Ashley Fortran IV, Friedmann, Greenberg & Hoffberg ATARI BASIC, Albrecht TRS-80 BASIC, Albrecht Job Control Language, Ashley Flowcharting, Stern Introduction to Data Processing, 2nd ed., Harris Background Math for a Computer World, Ashley Probability, Koosis Statistics, 2nd ed., Koosis Finite Mathematics, Rothenberg Practical Algebra, Selby Quick Arithmetic, Carman Math Shortcuts, Locke Study Skills: A Student’s Guide for Survival, Carman Psychological Research: How to Do It, Quirk Psychology of Learning, Royer Choosing Success: TA on the Job, Jongeward Successful Time Management, Ferner Communication for Problem Solving, Curtis Skills for Effective Communication, Becvar Clear Writing, Gilbert Punctuation, Markgraf Vocabulary for Adults, Romine Spelling for Adults, Ryan Reading Skills, Adams Art: As You See It, Bell Your Library —What’s in It for You? Lolley Quickhand, Grossman Quick Typing, Grossman Consumer Math, Locke
## Calculus for the Practical Man

This book on calculus is one of a series designed by the author and publisher for the reader with an interest in the meaning and simpler technique of mathematical science, and for those who wish to obtain a practical mastery of some of the more usual and directly useful branches of the science without the aid of a teacher. Like the other books in the series it is the outgrowth of the author's experience with students such as those mentioned and the demand experienced by the publisher for books which may be read as well as studied. One of the outstanding features of the book is the use of the method of rates instead of the method of limits. To the conventional teacher of mathematics, whose students work for a college degree and look toward the modern theory of functions, the author hastens to say that for their purposes the limit method is the only method which can profitably be used. To the readers contemplated in the preparation of this book, however, the notion of a limit and any method of calculation based upon it always seem artificial and not in any way connected with the familiar ideas of numbers, algebraic symbolism or natural phenomena. On the other hand, the method of rates seems a direct application of the principle which such a reader has often heard mentioned as the extension of arithmetic and algebra with which he must become acquainted before he can perform calculations which involve changing quantities. The familiarity of examples of changing quantities in every-day life also makes it a simple matter to introduce the terminology of the calculus; teachers and readers will recall the difficulty encountered in this connection in more formal treatments. The scope and range of the book are evident from the table of contents. The topics usually found in books on the calculus but not appearing here are omitted in conformity with the plan of the book as stated in the first paragraph above. An attempt has been made to approach the several parts of the subject as naturally and directly as possible, to show as clearly as possible the unity and continuity of the subject as a whole, to show what the calculus is all about and how it is used, and to present the material in as simple, straightforward and informal a style as it will permit. It is hoped thus that the book will be of the greatest interest and usefulness to the readers mentioned above.
## Understand Trigonometry A Teach Yourself Guide

More than 60 million Teach Yourself products sold worldwide! The definitive guide to the basics of trigonometry Whether you are new to trigonometry or just need to refresh your knowledge, Understand Trigonometry is the ideal handbook of this complex subject. Offering a complete introduction, with fully worked examples and carefully paced exercises at every level, you will progress steadily from the basics to more advanced skills and gain new confidence in your abilities. One, five and ten-minute introductions to key principles to get you started Lots of instant help with common problems and quick tips for success, based on the author’s many years of experience. Tests in the book to keep track of your progress Questions accompanied by detailed answers which help you to identify your areas of strength and weakness Topics include: Historical background; The tangent; Sine and cosine; In three dimensions; Angles of any magnitude; Solving simple equations; The sine and cosine formulae; Radians; Relations between the ratios; Ratios of compound angles; The form asinx+bcosx; The factor formulae; Circles related to a triangle; General solution of equations
## Calculus Made Easy

Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.
## Calculus

Teach Yourself Calculus gives a comprehensive coverage of the subject and is suitable for those studying pure and applied mathematics, engineering and allied sciences. It gives you the essential mathematical background to understand and apply the calculus required in these areas. Ideal for beginners, Teach Yourself Calculus provides a carefully graded series of lessons which introduce the basic concepts of differentiation and integration. Each chapter includes many clearly worked examples, diagrams and exercises with full answers.
## Understand Algebra A Teach Yourself Guide

More than 60 million Teach Yourself products sold worldwide! A helpful guide for students struggling with algebra Understand Algebra provides everything you need to broaden your skills and gain confidence. Assuming only a basic level of arithmetic, this carefully graded and progressive book guides them through the basic principles of the subject with the help of exercises and fully worked examples. Includes: One, five and ten-minute introductions to key principles to get you started Lots of instant help with common problems and quick tips for success, based on the author’s many years of experience Tests in the book to keep track of your progress Exercises and examples with full answers allow you to practice your new skills progressively Topics include: The meaning of algebra; Elementary operations in algebra; Brackets and operations with them; Positive and negative numbers; Expressions and equations; Linear equations; Formulae; Simultaneous equations; Linear inequalities; Graphical representation of quantities; Straight line graphs; coordinates; Using inequalities to define regions; Multiplying algebraicalalgebraics; Factors; Fractions; Graphs of quadratic functions; Quadratic equations; Indices; Logarithms; Ratio and proportion; Variation; The determination of laws; Rational and irrational numbers; Arithmetical and geometrical sequences
## Teach Yourself Calculus

## The Humongous Book of Calculus Problems

Now students have nothing to fear! Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams. --Includes 1,000 problems with comprehensive solutions --Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps --Kelley is a former award-winning calculus teacher
## Algebra A Complete Introduction

Algebra: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using Algebra. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all the key areas of algebra including elementary operations, linear equations, formulae, simultaneous equations, quadratic equations, logarithms, variation, laws and sequences. Everything you will need is here in this one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions. Chapter 1: The meaning of algebra Chapter 2: Elementary operations in algebra Chapter 3: Brackets and operations with them Chapter 4: Positive and negative numbers Chapter 5: Equations and expressions Chapter 6: Linear equations Chapter 7: Formulae Chapter 8: Simultaneous equations Chapter 9: Linear inequalities Chapter 10: Straight-line graphs; coordinates Chapter 11: Using inequalities to define regions Chapter 12: Multiplying algebraical expressions Chapter 13: Factors Chapter 14: Fractions Chapter 15: Graphs of quadratic functions Chapter 16: Quadratic equations Chapter 17: Indices Chapter 18: Logarithms Chapter 19: Ratio and proportion Chapter 20: Variation Chapter 21: The determination of laws Chapter 22: Rational and irrational numbers and surds Chapter 23: Arithmetical and geometric sequences