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# Calculus Two by Flanigan and Kazdan

Calculus Two. Linear and Nonlinear Functions by F.J. Flanigan and J.L. Kazdan.

Calculus Two might mean "Calculus 2.0" or simply "advanced calculus".

Used it twice, for Vector calculus: course. A fine book but I'd prefer something more "compact".

Remembrance of Things Past 1

1 The Algebra of $R^n$ 5

2 The geometry of $R^n$ 71

3 Linear Functions 103

4 Curves: Mappings $F:R \rightarrow R^q$ 207

5 Topics for Review and Preview 263

• 5.1 Further Concepts and Problems 263
• 5.2 Some Challenging Problems 285
• 5.3 Gravitational Motion 292
• 5.4 Geometry in $R^n$ 302

6 Functions $f:R^n \rightarrow R$ 313

7 Scalar-Valued Functions and Extrema 369

8 Vector Functions $F:R^n \rightarrow R^q$ 417

9 Integration in $R^n$ 455

10 Vector integrals and Stokes' theorem 529