{"product_id":"quick-calculus-9781119743194","title":"Quick Calculus","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface iii\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter One Starting Out 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 A Few Preliminaries 1\u003c\/p\u003e \u003cp\u003e1.2 Functions 2\u003c\/p\u003e \u003cp\u003e1.3 Graphs 5\u003c\/p\u003e \u003cp\u003e1.4 Linear and Quadratic Functions 11\u003c\/p\u003e \u003cp\u003e1.5 Angles and Their Measurements 19\u003c\/p\u003e \u003cp\u003e1.6 Trigonometry 28\u003c\/p\u003e \u003cp\u003e1.7 Exponentials and Logarithms 42\u003c\/p\u003e \u003cp\u003eSummary of Chapter 1 51\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter Two Differential Calculus 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 The Limit of a Function 57\u003c\/p\u003e \u003cp\u003e2.2 Velocity 71\u003c\/p\u003e \u003cp\u003e2.3 Derivatives 83\u003c\/p\u003e \u003cp\u003e2.4 Graphs of Functions and Their Derivatives 87\u003c\/p\u003e \u003cp\u003e2.5 Differentiation 97\u003c\/p\u003e \u003cp\u003e2.6 Some Rules for Differentiation 103\u003c\/p\u003e \u003cp\u003e2.7 Differentiating Trigonometric Functions 114\u003c\/p\u003e \u003cp\u003e2.8 Differentiating Logarithms and Exponentials 121\u003c\/p\u003e \u003cp\u003e2.9 Higher-Order Derivatives 130\u003c\/p\u003e \u003cp\u003e2.10 Maxima and Minima 134\u003c\/p\u003e \u003cp\u003e2.11 Differentials 143\u003c\/p\u003e \u003cp\u003e2.12 A Short Review and Some Problems 147\u003c\/p\u003e \u003cp\u003eConclusion to Chapter 2 164\u003c\/p\u003e \u003cp\u003eSummary of Chapter 2 165\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter Three Integral Calculus 169\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Antiderivative, Integration, and the Indefinite Integral 170\u003c\/p\u003e \u003cp\u003e3.2 Some Techniques of Integration 174\u003c\/p\u003e \u003cp\u003e3.3 Area Under a Curve and the Definite Integral 182\u003c\/p\u003e \u003cp\u003e3.4 Some Applications of Integration 201\u003c\/p\u003e \u003cp\u003e3.5 Multiple Integrals 211\u003c\/p\u003e \u003cp\u003eConclusion to Chapter 3 219\u003c\/p\u003e \u003cp\u003eSummary of Chapter 3 219\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter Four Advanced Topics: Taylor Series, Numerical Integration, and Differential Equations 223\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Taylor Series 223\u003c\/p\u003e \u003cp\u003e4.2 Numerical Integration 232\u003c\/p\u003e \u003cp\u003e4.3 Differential Equations 235\u003c\/p\u003e \u003cp\u003e4.4 Additional Problems for Chapter 4 244\u003c\/p\u003e \u003cp\u003eSummary of Chapter 4 248\u003c\/p\u003e \u003cp\u003eConclusion (frame 449) 250\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A Derivations 251\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Trigonometric Functions of Sums of Angles 251\u003c\/p\u003e \u003cp\u003eA.2 Some Theorems on Limits 252\u003c\/p\u003e \u003cp\u003eA.3 Exponential Function 254\u003c\/p\u003e \u003cp\u003eA.4 Proof That dy\/dx = 1\/dx∕dy 255\u003c\/p\u003e \u003cp\u003eA.5 Differentiating X\u003csup\u003en\u003c\/sup\u003e 256\u003c\/p\u003e \u003cp\u003eA.6 Differentiating Trigonometric Functions 258\u003c\/p\u003e \u003cp\u003eA.7 Differentiating the Product of Two Functions 258\u003c\/p\u003e \u003cp\u003eA.8 Chain Rule for Differentiating 259\u003c\/p\u003e \u003cp\u003eA.9 Differentiating Ln X 259\u003c\/p\u003e \u003cp\u003eA.10 Differentials When Both Variables Depend on a Third Variable 260\u003c\/p\u003e \u003cp\u003eA.11 Proof That if Two Functions Have the Same Derivative They Differ Only by a Constant 261\u003c\/p\u003e \u003cp\u003eA.12 Limits Involving Trigonometric Functions 261\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B Additional Topics in Differential Calculus 263\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 Implicit Differentiation 263\u003c\/p\u003e \u003cp\u003eB.2 Differentiating the Inverse Trigonometric Functions 264\u003c\/p\u003e \u003cp\u003eB.3 Partial Derivatives 267\u003c\/p\u003e \u003cp\u003eB.4 Radial Acceleration in Circular Motion 269\u003c\/p\u003e \u003cp\u003eB.5 Resources for Further Study 270\u003c\/p\u003e \u003cp\u003eFrame Problems Answers 273\u003c\/p\u003e \u003cp\u003eAnswers to Selected Problems from the Text 273\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReview Problems 277\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eChapter 1 277\u003c\/p\u003e \u003cp\u003eChapter 2 278\u003c\/p\u003e \u003cp\u003eChapter 3 282\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTables 287\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eTable 1: Derivatives 287\u003c\/p\u003e \u003cp\u003eTable 2: Integrals 288\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndexes 291\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIndex 291\u003c\/p\u003e \u003cp\u003eIndex of Symbols 295\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407135023447,"sku":"9781119743194","price":17.09,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119743194.jpg?v=1730498303","url":"https:\/\/bookcurl.com\/products\/quick-calculus-9781119743194","provider":"Book Curl","version":"1.0","type":"link"}