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- Thread starter iampaul
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In summary, the conversation discusses the search for a book on vector analysis that covers spherical and cylindrical coordinates, as well as the calculation of volume, surface area, and curve length using differential surface and volume elements. The speaker mentions that most books in the library only use cartesian coordinates and curvilinear coordinates are not used much. They also express a preference for a book that uses all coordinate systems throughout the text. Another person suggests the book "Vector Calculus" by Marsden, but notes that it may not be well-liked by some. They also suggest "Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach" by Hubbard. The original speaker mentions that they are not a fan of Marsden and asks if the Vector

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I think Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach by Hubbard is just what you need!

https://www.amazon.com/dp/0130414085/?tag=pfamazon01-20

And I personally don't like Marsden...

https://www.amazon.com/dp/0130414085/?tag=pfamazon01-20

And I personally don't like Marsden...

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Have you looked at the Vector Analysis textbook by Victor and Alice S. Textbook?

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good luck,

jason

Vector analysis is a branch of mathematics that deals with the study of geometric objects known as vectors. It involves the use of mathematical operations such as addition, subtraction, and scalar multiplication to analyze and manipulate these vectors.

Vector analysis has numerous applications in fields such as physics, engineering, and computer graphics. It is commonly used to analyze forces and motion, electric and magnetic fields, and fluid flow.

A vector analysis textbook will typically cover topics such as vector algebra, vector calculus, vector fields, line and surface integrals, and theorems such as Green's theorem and Stokes' theorem. It may also include applications of vector analysis in different fields.

Vector analysis can be challenging for some students, especially those who are new to the concept of vectors. However, with practice and a solid understanding of basic mathematical concepts, it can be easily mastered.

To improve your understanding of vector analysis, it is important to practice solving problems and working through examples. You can also seek help from a tutor or join a study group to discuss and clarify any concepts you may find difficult.

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