Practical Numerical Methods with C#

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The second edition of this book builds all the code example within a single project by incorporating new advancements in C# .NET technology and open-source math libraries. It also uses C# Interactive Window to test numerical computations without compiling or running the complete project code. The second edition includes three new chapters, including "Plotting", Fourier Analysis" and "Math Expression Parser".

As in the first edition, this book presents an in-depth exposition of the various numerical methods used in real-world scientific and engineering computations. It emphasizes the practical aspects of C# numerical methods and mathematical functions programming, and discusses various techniques in details to enable you to implement these numerical methods in your .NET application. Ideal for scientists, engineers, and students who would like to become more adept at numerical methods, the second edition of this book covers the following content:

- Overview of C# programming.

- The mathematical background and fundamentals of numerical methods.

- plotting the computation results using a 3D chart control.

- Math libraries for complex numbers and functions, real and complex vector and matrix operations, and special functions.

- Numerical methods for generating random numbers and random distribution functions.

- Various numerical methods for solving linear and nonlinear equations.

- Numerical differentiation and integration.

- Interpolations and curve fitting.

- Optimization of single-variable and multi-variable functions with a variety of techniques, including advanced simulated annealing and evolutionary algorithms.

- Numerical techniques for solving ordinary differential equations.

- Numerical methods for solving boundary value problems. - Eigenvalue problems.

- Fourier analysis.

- mathematical expression parser and evaluator.

In addition, this book provides testing examples for every math function and numerical method to show you how to use these functions and methods in your own .NET applications in a manageable and step-by-step fashion.

Please visit the author's website for more information about this book at

https://drxudotnet.com

https://drxudotnet.com and https://gincker.com.

Rreth autorit

Dr. Jack Xu has a PhD in theoretical physics. He has over 25 years programming experience in C, C++, MATLAB, C#, WPF, ASP.NET, Angular, JavaScript frameworks, specializing in numerical computation methods, algorithms, graphical user interfaces, and web applications. Recently, he works as a quantitative analyst and developer on Wall Street, and is responsible for quantitative analysis, back-testing, trading strategy development, and real-time trading system design and implementation.

You can visit his website at https://drxudotnet.com for more information about Dr. Xu's book.

He also creates a charts and graphics playground at gincker.com/graphics, which allows users to create various charts and graphics by simply entering a math formula, pasting a dataset, or uploading a data file; and without the need to write a single line of code.

He also created a YouTube Channel on Practical Programming at: https://www.youtube.com/channel/UCg14XfqXim0vpgabU3T7tRg

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