Jumat, 19 September 2008

Complex Numbers & Infinite Series



OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.


Textbook Components

  • Table of Contents (PDF)
  • Answers to Odd-Numbered Problems (PDF)
  • Equations (PDF)

9: Polar Coordinates and Complex Numbers, pp. 348-367

9.1 Polar Coordinates, pp. 348-350
9.2 Polar Equations and Graphs, pp. 351-355
9.3 Slope, Length, and Area for Polar Curves, pp. 356-359
9.4 Complex Numbers, pp. 360-367

Chapter 9 - complete (PDF - 1.7 MB)

Chapter 9 - sections:

9.1 - 9.2 (PDF)
9.3 - 9.4 (PDF - 1.0 MB)
10: Infinite Series, pp. 368-391

10.1 The Geometric Series, pp. 368-373
10.2 Convergence Tests: Positive Series, pp. 374-380
10.3 Convergence Tests: All Series, pp. 325-327
10.4 The Taylor Series for e^x, sin x, and cos x, pp. 385-390
10.5 Power Series, pp. 391-397

Chapter 10 - complete (PDF - 2.9 MB)

Chapter 10 - sections:

10.1 - 10.3 (PDF - 1.9 MB)
10.4 - 10.5 (PDF - 1.2 MB)


Source:
MIT OCW

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