F# for Scientists

Preface.

Acknowledgments.

List of Figures.

List of Tables.

Acronyms.

1. Introduction.

1.1 Programming guidelines.

1.2 A brief history of F#.

1.3 Benefits of F#.

1.4 Introducing F#.

1.5 Imperative programming.

1.6 Functional programming.

2. Program Structure.

2.1 Nesting.

2.2 Factoring.

2.3 Modules.

2.4 Objects.

2.5 Functional design patterns.

2.6 F# development.

3. Data Structures.

3.1 Algorithmic complexity.

3.2 Arrays.

3.3 Lists.

3.4 Sets.

3.5 Hash tables.

3.6 Maps.

3.7 Choosing a data structure.

3.8 Sequences.

3.9 Heterogeneous containers.

3.10 Trees.

4. Numerical Analysis.

4.1 Number representation.

4.2 Algebra.

4.3 Interpolation.

4.4 Quadratic solutions.

4.5 Mean and variance.

4.6 Other forms of arithmetic.

5. Input and Output.

5.1 Printing.

5.2 Generic printing.

5.3 Reading from and writing to files.

5.4 Serialization.

5.5 Lexing and parsing.

6. Simple Examples.

6.1 Functional.

6.2 Numerical.

6.3 String related.

6.4 List related.

6.5 Array related.

6.6 Higher-order functions.

7. Visualization.

7.1 Windows Forms.

7.2 Managed DirectX.

7.3 Tesselating objects into triangles.

8. Optimization.

8.1 Timing.

8.2 Profiling.

8.3 Algorithmic optimizations.

8.4 Lower-level optimizations.

9. Libraries.

9.1 Loading .NET libraries.

9.2 Charting and graphing.

9.3 Threads.

9.4 Random numbers.

9.5 Regular expressions.

9.6 Vectors and matrices.

9.7 Downloading from the Web.

9.8 Compression.

9.9 Handling XML.

9.10 Calling native libraries.

9.11 Fourier transform.

9.12 Mataprogramming.

10. Databases.

10.1 Protein data bank.

10.2 Web services.

10.3 Relational databases.

11. Interoperability.

11.1 Excel.

11.2 MATLAB.

11.3 Mathematica.

12. Complete Examples.

12.1 Fast Fourier transform.

12.2 Semi-circle law.

12.3 Finding n ^th.-nearest neighbors.

12.4 Logistic map.

12.5 Real-time particle dynamics.

Appendix A: Troubleshooting.

A.1 Value restriction.

A.2 Mutable array contents.

A.3 Negative literals.

A.4 Accidental capture.

A.5 Local and non-local variable definitions.

A.6 Merging lines.

A.7 Applications that do not die.

A.8 Beware of "it".

Glossary.

Bibliography.

Index.