Vector Calculus Supplies: Textbook, Syllabus, & More

AI Thread Summary
The discussion centers around finding supplemental materials for a course covering vector fields, vector calculus, ordinary differential equations, and series. Participants mention various textbooks, highlighting the historical preference for the book by Williamson, Crowell, and Trotter, while also noting personal experiences with Wendell Fleming's book. Susan Jane Colley's "Vector Calculus" is currently used at one institution, with mixed reviews from students. A free online resource, mecMath, is mentioned but not widely used. For advanced study, "Advanced Calculus" by Loomis and Sternberg is suggested, though it is recommended for after completing the vector course. Marsden & Tromba's text is also endorsed for those seeking a more rigorous approach compared to Adams. Overall, the conversation emphasizes the importance of selecting the right supplemental materials to enhance understanding of the subject matter.
sandy.bridge
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Looking for supplemental material.
This is the textbook I am supposed to use.
416D1%2BTMqHL._SL500_AA300_.jpg

(http://www.amazon.com/dp/0321549287/?tag=pfamazon01-20)

The syllabus is: Vector fields; vector calculus; ordinary differential equations; sequences, series, and power series.
 
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in the old days everyone agreed the best book was by williamson, crowell and trotter. I myself liked and learned from the book by wendell fleming.
 
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Vector Calculus by Susan Jane Colley is what my school is using for our vector calculus course intended for mathematics majors. To be honest I didn't even purchase the book for that course, but from other students who had a bit of trouble with calculus I've heard it's quite good :)
 
There is a free text here. I haven't used it, though.
http://www.mecmath.net/


If you want hardcore supplemental, there is "Advanced Calculus" by Loomis and Sternberg. Available here:
http://www.math.harvard.edu/people/SternbergShlomo.html

I wouldn't really recommend it until after your vector course, though.
 
In my honours vector calc. course we used Marsden & Tromba. I would recommend it if you are looking for a deeper perspective than in Adams.
 
I ended up ordering Marsden & Tromba. I am assuming there will be a HUGE difference in rigorousness.
 
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I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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