Vector Calculus: Formulations, Applications And Python Codes

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.

Product details

• Authors: Gui-rong Liu
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Hardback
• Release: 27.07.2025
• EAN: 9789819813643
• ISBN: 978-981-9813-64-3
• Series: Series In Computational Methods
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > Programming languages; COMPUTERS / Mathematical & Statistical Software, COMPUTERS / Programming / Algorithms, Calculus & mathematical analysis, Programming & scripting languages: general, Calculus and mathematical analysis, Programming and scripting languages: general