Anyone knows website about vector calculus

In summary, the conversation is about the request for vector calculus formulae tables and a page that notates such formulae. The person does not need a calculator, only the formulae. They used to use a particular website but it is no longer available. A helpful individual suggests checking Wikipedia for vector calculus identities.
  • #1
maverick6664
80
0
I want vector calculus formulae tables, such as

[tex]\mathbi{a}\times(\mathbi{b}\times\mathbi{c}) = \mathbi{b}(\mathbi{a} \cdot \mathbi{c} ) - \mathbi{c} (\mathbi{a}\cdot \mathbi{b})[/tex]

and

[tex]\nabla \cdot (\mathbi{a} \times \mathbi{b}) = \mathbi{b} \cdot (\nabla \times \mathbi{a}) - \mathbi{a} \cdot (\nabla \times \mathbi{b})[/tex]

Does anyone know a page notating such formalae? It will help much. I don't need calculator, but formulae.

I used to use http://www.plasma.uu.se/CED/Book but it's down now.

Thanks in advance.
 
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  • #3


There are many websites that provide vector calculus formulae tables, such as Mathworld, Wolfram Alpha, and Math Open Reference. These websites offer a wide range of formulae and notations, including the ones you mentioned. Additionally, many university websites and online textbooks also have sections dedicated to vector calculus formulae and notation.

Some specific websites that you may find helpful include:

1. MIT OpenCourseWare: This website offers a comprehensive collection of lecture notes, problem sets, and exams for their vector calculus course, which includes formulae tables.

2. Khan Academy: This educational platform has a section specifically dedicated to vector calculus, which includes video lectures, practice exercises, and formulae tables.

3. Paul's Online Math Notes: This website has a section on vector calculus that includes formulae and examples for various topics, such as dot and cross products, gradients, and curl.

I hope these resources will be helpful in your search for vector calculus formulae tables. Best of luck in your studies!
 

1. What is vector calculus?

Vector calculus is a branch of mathematics that deals with the study of vector fields and their derivatives. It is an essential tool in many areas of science and engineering, including physics, computer graphics, and fluid dynamics.

2. Why is it important to learn vector calculus?

Vector calculus is important because it provides a powerful framework for understanding and solving complex physical problems. It allows us to describe and analyze the behavior of objects and systems in terms of vectors, which can represent quantities such as velocity, force, and acceleration. Additionally, many advanced mathematical concepts and techniques build upon the principles of vector calculus.

3. What are some applications of vector calculus?

Vector calculus has a wide range of applications in various fields. Some examples include calculating the motion of objects in physics, visualizing and manipulating 3D objects in computer graphics, and analyzing fluid flow in engineering and meteorology.

4. Where can I find resources to learn about vector calculus?

There are many online resources available for learning vector calculus, including websites, textbooks, and video tutorials. Some popular websites include Khan Academy, Coursera, and MIT OpenCourseWare. You can also check with your local library or university for recommended resources.

5. Can anyone learn vector calculus?

Yes, anyone with a basic understanding of calculus and linear algebra can learn vector calculus. It may seem intimidating at first, but with patience and practice, anyone can grasp the fundamental concepts and use them to solve problems in various fields.

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