Vector Calculus: Python Codes by G. R. Liu (.PDF)

File Size: 41.0 MB

Vector Calculus: Formulations, Applications and Python Codes by G. R. Liu
Requirements: .PDF reader, 41.0 MB | True PDF
Overview: This unique compendium deals with the differentiation and integration of vector functions. It examines critical effects and extracts important features using powerful tools of differentiation and integration. Techniques and codes for computing the divergence, curl, and gradients of a given field function, which reveal the mathematical behavior of the vector field, are discussed. Green’s theorem, Stokes’s theorem, and Gauss’s formula, along with their novel extensions, are presented in detail with applications such as the smoothed gradient method. Written in Jupyter notebook format, the book offers a unified environment for theory description, code execution, and real-time interaction, making it ideal for reading, practicing, and further exploration. This book does not cover Python basics, as many resources are available online. Interested readers can refer to Chapters 2 and 3 in Ref. Since Python is relatively easy to learn, you can utilize the codes and examples in this book to start learning Python while studying the technical subjects. Both NumPy and SymPy are utilized in the development of code for the demonstration examples.
Genre: Non-Fiction > Tech & Devices

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