The Essential Calculus Workbook Trigonometric Functions

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The Essential Calculus Workbook: Trigonometric Functions

Author : Tim Hill
Publisher : Questing Vole Press
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Essential Calculus Workbook: Trigonometric Functions by : Tim Hill

Download or read book The Essential Calculus Workbook: Trigonometric Functions written by Tim Hill and published by Questing Vole Press. This book was released on 2019-05-23 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ready to step up your game in calculus? This workbook isn't the usual parade of repetitive questions and answers. Author Tim Hill's approach lets you work on problems you enjoy, rather than through exercises and drills you fear, without the speed pressure, timed testing, and rote memorization that damage your experience of mathematics. Working through varied problems in this anxiety-free way helps you develop an understanding of numerical relations apart from the catalog of mathematical facts that's often stressed in classrooms and households. This number sense, common in high-achieving students, lets you apply and combine concepts, methods, and numbers flexibly, without relying on distant memories. - Solutions to basic problems are steeped in the fundamentals, including notation, terminology, definitions, theories, proofs, physical laws, and related concepts. - Advanced problems explore variations, tricks, subtleties, and real-world applications. - Problems build gradually in difficulty with little repetition. If you get stuck, then flip back a few pages for a hint or to jog your memory. - Numerous pictures depicting mathematical facts help you connect visual and symbolic representations of numbers and concepts. - Treats calculus as a problem-solving art requiring insight and intuitive understanding, not as a branch of logic requiring careful deductive reasoning. - Discards the common and damaging misconception that fast students are strong students. Good students aren't particularly fast with numbers because they think deeply and carefully about mathematics. - Detailed solutions and capsule reviews greatly reduce the need to cross reference a comprehensive calculus textbook. Topics covered: Basic trigonometry. Limits, derivatives, integrals, and graphs of basic and inverse trigonometric functions. Solids of revolution. Buffon's needle problem. The corridor problem. Simple harmonic motion. Newton's second law of motion. The hyperbolic functions sinh, cosh, and tanh. Catenaries. Prerequisite mathematics: Tangent lines. Curve sketching. Limits. Continuity. Basic derivatives. Basic integrals. Inverse functions. Maxima and minima. Inflection points. Contents 1. Review of Trigonometry 2. Elementary Trigonometry 3. Derivatives of Sine and Cosine 4. Integrals of Sine and Cosine 5. Derivatives of Other Trigonometric Functions 6. Inverse Trigonometric Functions 7. Harmonic Motion 8. Hyperbolic Functions

The Essential Calculus Workbook: Limits and Derivatives

Author : Tim Hill
Publisher : Questing Vole Press
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Essential Calculus Workbook: Limits and Derivatives by : Tim Hill

Download or read book The Essential Calculus Workbook: Limits and Derivatives written by Tim Hill and published by Questing Vole Press. This book was released on 2019-06-30 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ready to step up your game in calculus? This workbook isn't the usual parade of repetitive questions and answers. Author Tim Hill's approach lets you work on problems you enjoy, rather than through exercises and drills you fear, without the speed pressure, timed testing, and rote memorization that damage your experience of mathematics. Working through varied problems in this anxiety-free way helps you develop an understanding of numerical relations apart from the catalog of mathematical facts that's often stressed in classrooms and households. This number sense, common in high-achieving students, lets you apply and combine concepts, methods, and numbers flexibly, without relying on distant memories. - Solutions to basic problems are steeped in the fundamentals, including notation, terminology, definitions, theories, proofs, physical laws, and related concepts. - Advanced problems explore variations, tricks, subtleties, and real-world applications. - Problems build gradually in difficulty with little repetition. If you get stuck, then flip back a few pages for a hint or to jog your memory. - Numerous pictures depicting mathematical facts help you connect visual and symbolic representations of numbers and concepts. - Treats calculus as a problem-solving art requiring insight and intuitive understanding, not as a branch of logic requiring careful deductive reasoning. - Discards the common and damaging misconception that fast students are strong students. Good students aren't particularly fast with numbers because they think deeply and carefully about mathematics. - Detailed solutions and capsule reviews greatly reduce the need to cross reference a comprehensive calculus textbook. Topics covered: The tangent line. Delta notation. The derivative of a function. Differentiable functions. Leibniz notation. Average and instantaneous velocity. Speed. Projectile paths. Rates of change. Acceleration. Marginal cost. Limits. Epsilon-delta definition. Limit laws. Trigonometric limits. Continuity. Continuous functions. The Mean Value Theorem. The Extreme Value Theorem. The Intermediate Value Theorem. Fermat's theorem. Prerequisite mathematics: Elementary algebra. Real numbers. Functions. Graphs. Trigonometry. Contents 1. The Slope of the Tangent Line 2. The Definition of the Derivative 3. Velocity and Rates of Change 4. Limits 5. Continuous Functions About the Author Tim Hill is a statistician living in Boulder, Colorado. He holds degrees in mathematics and statistics from Stanford University and the University of Colorado. Tim has written guides for calculus, trigonometry, algebra, geometry, precalculus, permutations and combinations, debt, mortgages, and Excel pivot tables. When he's not crunching numbers, Tim climbs rocks, hikes canyons, and avoids malls.

Essential Calculus Skills Practice Workbook with Full Solutions

Author : Chris McMullen
Publisher :
ISBN 13 : 9781941691243
Total Pages : 152 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Essential Calculus Skills Practice Workbook with Full Solutions by : Chris McMullen

Download or read book Essential Calculus Skills Practice Workbook with Full Solutions written by Chris McMullen and published by . This book was released on 2018-08-16 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this comprehensive workbook (with full solutions to every problem) to share his strategies for mastering calculus. This workbook covers a variety of essential calculus skills, including: derivatives of polynomials, trig functions, exponentials, and logarithms the chain rule, product rule, and quotient rule second derivatives how to find the extreme values of a function limits, including l'Hopital's rule antiderivatives of polynomials, trig functions, exponentials, and logarithms definite and indefinite integrals techniques of integration, including substitution, trig sub, and integration by parts multiple integrals The goal of this workbook isn't to cover every possible topic from calculus, but to focus on the most essential skills needed to apply calculus to other subjects, such as physics or engineering

Advanced Trigonometry

Author : C. V. Durell
Publisher : Courier Corporation
ISBN 13 : 0486154432
Total Pages : 354 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Advanced Trigonometry by : C. V. Durell

Download or read book Advanced Trigonometry written by C. V. Durell and published by Courier Corporation. This book was released on 2012-11-20 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.

Essential Calculus

Author : James Stewart
Publisher : Cengage Learning
ISBN 13 : 9781133112297
Total Pages : 0 pages
Book Rating : 4.1/5 (122 download)

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Book Synopsis Essential Calculus by : James Stewart

Download or read book Essential Calculus written by James Stewart and published by Cengage Learning. This book was released on 2012-02-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? ESSENTIAL CALCULUS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. The book is only 900 pages--two-thirds the size of Stewart's other calculus texts, and yet it contains almost all of the same topics. The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www.StewartCalculus.com. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books. ESSENTIAL CALCULUS features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Essential Trigonometry

Author : Tim Hill
Publisher : Questing Vole Press
ISBN 13 : 1937842169
Total Pages : 85 pages
Book Rating : 4.9/5 (378 download)

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Book Synopsis Essential Trigonometry by : Tim Hill

Download or read book Essential Trigonometry written by Tim Hill and published by Questing Vole Press. This book was released on 2013-10-16 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This no-nonsense guide provides students and self-learners with a clear and readable study of trigonometry's most important ideas. Tim Hill's distraction-free approach combines decades of tutoring experience with the proven methods of his Russian math teachers. The result: learn in a few days what conventional schools stretch into months. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats trigonometry as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Covers all the trigonometry needed to take a calculus course. - Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it. Contents 1. A Few Basics 2. Radian Measure 3. The Trig Functions 4. Trig Values for Special Angles 5. Graphs of Trig Functions 6. The Major Formulas 7. Inverse Trig Functions 8. The Law of Cosines (and Sines) 9. Solutions 10. Trig Cheat Sheet

Pre-Calculus Workbook For Dummies

Author : Yang Kuang
Publisher : John Wiley & Sons
ISBN 13 : 0470923229
Total Pages : 336 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Pre-Calculus Workbook For Dummies by : Yang Kuang

Download or read book Pre-Calculus Workbook For Dummies written by Yang Kuang and published by John Wiley & Sons. This book was released on 2011-04-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This hands-on workbook helps students master basic pre-calculus concepts and practice the types of problems they'll encounter in the course. Students will get hundreds of valuable exercises, problem-solving shortcuts, plenty of workspace, thorough explanations, and step-by-step solutions to every problem.

Essential Algebra

Author : Tim Hill
Publisher : Questing Vole Press
ISBN 13 : 1937842193
Total Pages : 133 pages
Book Rating : 4.9/5 (378 download)

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Book Synopsis Essential Algebra by : Tim Hill

Download or read book Essential Algebra written by Tim Hill and published by Questing Vole Press. This book was released on 2013-10-16 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This no-nonsense guide provides students and self-learners with a clear and readable study of algebra's most important ideas. Tim Hill's distraction-free approach combines decades of tutoring experience with the proven methods of his Russian math teachers. The result: learn in a few weeks what conventional schools stretch into months. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats algebra as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Covers all the algebra needed to take a calculus course. - Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it. Contents 1. A Few Basics 2. Exponents 3. Polynomials 4. Factoring 5. Linear & Quadratic Equations 6. Inequalities & Absolute Values 7. Coordinates in a Plane 8. Functions & Graphs 9. Straight Lines 10. Circles 11. Parabolas 12. Types of Functions 13. Logarithms 14. Dividing Polynomials 15. Systems of Linear Equations 16. Geometric Progressions & Series 17. Arithmetic Progressions 18. Permutation & Combinations 19. The Binomial Theorem 20. Mathematical Induction 21. Solutions

Essential Precalculus

Author : Tim Hill
Publisher : Questing Vole Press
ISBN 13 :
Total Pages : pages
Book Rating : 4./5 ( download)

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Book Synopsis Essential Precalculus by : Tim Hill

Download or read book Essential Precalculus written by Tim Hill and published by Questing Vole Press. This book was released on 2018-06-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This no-nonsense guide provides students and self-learners with a clear and readable study of the most important ideas of precalculus mathematics. Tim Hill's distraction-free approach combines decades of tutoring experience with the proven methods of his Russian math teachers. The result: learn in a few weeks what conventional schools stretch into months. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats the subject as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Provides exceptional preparation for a calculus course. - Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it. Contents 1. The Real Line and Coordinate Plane 2. Straight Lines 3. Circles and Parabolas 4. Functions 5. Graphs 6. Trigonometry 7. Solutions

Essential Geometry with Analytic Geometry: A Self-Teaching Guide (Second Edition)

Author : Tim Hill
Publisher : Questing Vole Press
ISBN 13 : 1937842401
Total Pages : 118 pages
Book Rating : 4.9/5 (378 download)

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Book Synopsis Essential Geometry with Analytic Geometry: A Self-Teaching Guide (Second Edition) by : Tim Hill

Download or read book Essential Geometry with Analytic Geometry: A Self-Teaching Guide (Second Edition) written by Tim Hill and published by Questing Vole Press. This book was released on 2020-02-11 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This no-nonsense guide provides students and self-learners with a clear and readable study of geometry's most important ideas. Tim Hill's distraction-free approach combines decades of tutoring experience with the proven methods of his Russian math teachers. The result: learn in a few days what conventional schools stretch into months. - Covers classical and analytic geometry. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats geometry as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Includes problems (with solutions) that extend your knowledge rather than merely reinforce it. Contents 1. Triangles 2. Circles 3. Cylinders 4. Cones 5. Spheres 6. Analytic Geometry 7. Solutions 8. Geometry Cheat Sheet

Essential Advanced Precalculus

Author : Tim Hill
Publisher : Questing Vole Press
ISBN 13 :
Total Pages : pages
Book Rating : 4./5 ( download)

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Book Synopsis Essential Advanced Precalculus by : Tim Hill

Download or read book Essential Advanced Precalculus written by Tim Hill and published by Questing Vole Press. This book was released on 2018-06-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Can a set be a member of itself? How do we know that the square root of 2 is irrational? Can a graph really represent a function accurately? Is a function just a rule? Does canceling (crossing out) terms mask important algebraic properties? This entirely practical book is for the student who wants a complete command of the prerequisite material on the first day of calculus class. Success in calculus depends on having a reasonable command of all that went before, yet most precalculus students are taught only simple tools and techniques, leaving them with a superficial understanding of problem-solving. Tim Hill explains why things are true and encourages students to go beyond merely memorizing ways of solving a few problems to pass exams. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats the subject as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Provides exceptional preparation for a calculus course.- Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it. Contents 1. Sets 2. The Real Number System 3. Functions 4. Graphs 5. Solutions

Pay Off Your Mortgage Early With Excel! Create an Optimal Payoff Plan for Your Income

Author : Tim Hill
Publisher : Questing Vole Press
ISBN 13 :
Total Pages : 169 pages
Book Rating : 4./5 ( download)

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Book Synopsis Pay Off Your Mortgage Early With Excel! Create an Optimal Payoff Plan for Your Income by : Tim Hill

Download or read book Pay Off Your Mortgage Early With Excel! Create an Optimal Payoff Plan for Your Income written by Tim Hill and published by Questing Vole Press. This book was released on 2020-03-12 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The immense power of compound interest is such that adding a small amount of extra principal to each of your mortgage payments will result in thousands (or tens of thousands) in interest savings over the life of your loan. Using only high-school mathematics, Tim Hill provides clear and readable lessons that you can use to understand and pay down your mortgage by using Microsoft Excel (or any spreadsheet software). This entirely practical guide teaches you how to use worksheet functions, array formulas, data tables, and other spreadsheet features to manage your business and personal finances. You'll also learn the auxiliary skills needed to create and maintain financial spreadsheets: rounding numbers, data and time arithmetic, summing and counting values, and more. Plenty of examples show you how to use these tools for any type of debt or savings: mortgages, student loans, leases, credit-card debt, car payments, medical expenses, annuities, and retirement funds. You can download the sample workbooks to follow along with the author's examples and calculations. - Covers all versions of Excel. - Learn about basic financial concepts, including cash flows, timing issues, and the time value of money. - Compute the payments needed to pay off a loan or to meet an investment target. - Separate the interest and principal portions of your mortgage or loan payments for tax purposes. - Convert between the commonly used methods of quoting interest rates. - Create amortization schedules to see how your debts change over time. - Build summary tables to compare loans that have different interest rates, loan amounts, or payment terms. - Derive the true interest rate of your investments or loans, including "interest-free" loans. - See how much time it will take to pay off a loan, meet an investment target, or retire. - Determine how much to invest now to meet a future goal. - Calculate how money will accumulate in your retirement or savings accounts. Contents Part I - Loans & Mortgages 1. Getting Started with Loans & Mortgages 2. Present Value (PV) 3. Future Value (FV) 4. Payments (PMT) 5. Interest Rates (RATE) 6. Periods (NPER) 7. Interest and Principal Components 8. Converting Interest Rates 9. Loan Amortization Schedules 10. Summarizing Loan Options Part II - Dates & Times 11. Getting Started with Dates & Times 12. Date & Time Basics 13. Date & Time Functions 14. Date Tricks 15. Time Tricks Part III - Sums & Counts 16. Getting Started with Sums & Counts 17. Counting Basics 18. Counting Tricks 19. Frequency Distributions 20. Summing Basics 21. Summing Tricks

Trig Identities Practice Workbook with Answers

Author : Chris McMullen
Publisher :
ISBN 13 : 9781941691380
Total Pages : 126 pages
Book Rating : 4.6/5 (913 download)

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Book Synopsis Trig Identities Practice Workbook with Answers by : Chris McMullen

Download or read book Trig Identities Practice Workbook with Answers written by Chris McMullen and published by . This book was released on 2020-11 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This trigonometry workbook focuses on trig identities. The majority of the exercises let you derive a variety of trig identities by following similar examples. If you get stuck, helpful hints in the back of the book help walk you through the solution. Other exercises include applications, such as how to find the tangent of 15 degrees without a calculator or how to apply trig identities to solve equations. This book also serves as a handy list of numerous trig identities organized by topic. The answer to every problem can be found at the back of the book. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his knowledge of trig identities.

Trigonometry

Author : I.M. Gelfand
Publisher : Springer Science & Business Media
ISBN 13 : 1461201497
Total Pages : 244 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Trigonometry by : I.M. Gelfand

Download or read book Trigonometry written by I.M. Gelfand and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. Trigonometry is an important introduction to calculus, where one stud ies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of pre-calculus, and is related to other pre-calculus topics, such as exponential and logarithmic functions, and complex numbers.

Pre-Calculus For Dummies

Author : Yang Kuang
Publisher : John Wiley & Sons
ISBN 13 : 1118168887
Total Pages : 408 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Pre-Calculus For Dummies by : Yang Kuang

Download or read book Pre-Calculus For Dummies written by Yang Kuang and published by John Wiley & Sons. This book was released on 2012-06-26 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an introduction to the principles of pre-calculus, covering such topics as functions, law of sines and cosines, identities, sequences, series, and binomials.

Just-in-time

Author : Guntram Mueller
Publisher : Addison-Wesley Longman
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Just-in-time by : Guntram Mueller

Download or read book Just-in-time written by Guntram Mueller and published by Addison-Wesley Longman. This book was released on 2006 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strong algebra and trigonometry skills are crucial to success in calculus. This text is designed to bolster these skills while readers study calculus. As readers make their way through the calculus course, this supplemental text shows them the relevant algebra or trigonometry topics and points out potential problem spots. The table of contents is organized so that the algebra and trigonometry topics are arranged in the order in which they are needed for calculus. Numbers and Their Disguises:Multiplying and dividing fractions, adding and subtracting fractions, parentheses, exponents, roots, percent, scientific notation, calculators, rounding, intervals. Completing the Square: Completing the square in one and two variables. Solving Equations:Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property. Functions and Their Graphs:Introduction, equations of lines, power functions, shifting graphs, intersection of curves. Cyclic Phenomena: The Six Basic Trigonometric Functions:Angles, definitions of the six trigonometric functions, basic identities, special angles, sum formulas. Exponential Functions:The family of exponentials, the function. Composition and Inverse Functions:Composite functions, the idea of inverses, finding an inverse of fgiven by a graph, finding the inverse of fgiven by an expression. Logarithmic Functions:Definition of logarithms, logs as inverses of exponential functions, laws of logarithms, the natural logarithm. Inverse Trigonometric Functions:The definition of arcsin x, the functions arctan xand arcsec x, inverse trigonometric identities. Changing the Form of a Function:Factoring, canceling, long division, rationalizing, extracting a factor from under a root. Simplifying Algebraic Expressions:Working with difference quotients and rational functions, canceling common factors, rationalizing expressions. Decomposition of Functions: Inner, outer, and outermost functions, decomposing composite functions. Equations of Degree 1 Revisited:Solving linear equations involving derivatives. Word Problems, Algebraic and Transcendental:Algebraic word problems, the geometry of rectangles, circles and spheres, trigonometric word problems, right angle triangles, the law of sines and the law of cosines, exponential growth and decay. Trigonometric Identities:Rewriting trigonometric expressions using identities. For all readers interested in algebra and trigonometry in early transcendentals calculus.

Tales of Impossibility

Author : David S. Richeson
Publisher : Princeton University Press
ISBN 13 : 0691218722
Total Pages : 450 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Tales of Impossibility by : David S. Richeson

Download or read book Tales of Impossibility written by David S. Richeson and published by Princeton University Press. This book was released on 2021-11-02 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.