Contents v
10.3. The Integral over a Jordan Region 288
10.4. Iterated Integrals 294
10.5. The Change of Variables Formula 303
Chapter 11. Vector Calculus 317
11.1. 1-forms and Path Integrals 317
11.2. Change of Variables 323
11.3. Differential Forms of Higher Order 331
11.4. Green’s Theorem 338
11.5. Surface Integrals and Stokes’s Theorem 348
11.6. Gauss’s Theorem 358
11.7. Chains and Cycles 365
Appendix. Degrees of Infinity 375
A.1. Cardinality of Sets 375
A.2. Countable Sets 378
A.3. Uncountable Sets 380
A.4. The Axiom of Choice 382
Bibliography 387
Index 389
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