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Advanced Calculus

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Author(s): Louis Brand
Publisher: John Wiley & Sons
Year: 1955

Language: English
Pages: 587

Preface
@=14
1. The Number System 1
2. Sequences and Series 27
3. Functions of a Real Variable 83
4. Functions of Several Variables 147
5. Vectors 202
6. The Definite Integral 248
7. Improper Integrals 304
8. Line Integrals 328
9. Multiple Integrals 345
10. Uniform Convergence 399
11. Functions of a Complex Variable 446
12. Fourier Series 511
appendix 1. Cluster Points 540
appendix 2. Difference Equations 542
appendix 3. The Difference Calculus 545
appendix 4. Dimensional Checks 549
Comprehensive Test 551
Answers To Problems 553
Index 567