Vector Calculus: Formulations, Applications And Python Codes
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A01=Gui-rong Liu
Author_Gui-rong Liu
Category=PBK
Category=UMX
Conservative Fields
Divergence Theorem
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Gauss's Formula
Gradient Smoothing Methods
Green's Theorems
Stokes' Theorem
Vector Fields
Product details
- ISBN 9789819813643
- Publication Date: 12 Sep 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
