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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 미적분학
· ISBN : 9781118161708
· 쪽수 : 384쪽
목차
Introduction 1
Part I: Introduction to Integration 9
Chapter 1: An Aerial View of the Area Problem 11
Chapter 2: Dispelling Ghosts from the Past: A Review of Pre-Calculus and Calculus I 37
Chapter 3: From Definite to Indefinite: The Indefinite Integral 73
Part II: Indefinite Integrals 103
Chapter 4: Instant Integration: Just Add Water (And C) 105
Chapter 5: Making a Fast Switch: Variable Substitution 117
Chapter 6: Integration by Parts 135
Chapter 7: Trig Substitution: Knowing All the (Tri)Angles 151
Chapter 8: When All Else Fails: Integration with Partial Fractions 173
Part III: Intermediate Integration Topics 195
Chapter 9: Forging into New Areas: Solving Area Problems 197
Chapter 10: Pump Up the Volume: Using Calculus to Solve 3-D Problems 219
Part IV: Infinite Series 241
Chapter 11: Following a Sequence, Winning the Series 243
Chapter 12: Where Is This Going? Testing for Convergence and Divergence 261
Chapter 13: Dressing Up Functions with the Taylor Series 283
Part V: Advanced Topics 307
Chapter 14: Multivariable Calculus 309
Chapter 15: What's So Different about Differential Equations? 329
Part VI: The Part of Tens 343
Chapter 16: Ten "Aha!" Insights in Calculus II 345
Chapter 17: Ten Tips to Take to the Test 351
Index 355
