Thread: Mathematics In Engineering

Hey Guys

I am currently in the 2nd year of my Chemical engineering degree, the problem I have is that the mathematics we learn seems to be be tailor made to give you just enough tools to solve problems without a complete explanation.

Therefore In my own time I would like pursue a fuller study of mathematics alongside my degree. Can anyone recommend some books or ideas?

Thanks

i've been using MIT open courseware - http://ocw.mit.edu/OcwWeb/web/home/home/index.htm - for the same sort of purpose . Initially i tried using the material on the site alongside more advanced textbooks than my course supplied, but i found it too time consuming. Now i just watch the lectures to sort of fill out the stuff i'm actually studying.

Originally Posted by organic god

Hey Guys

I am currently in the 2nd year of my Chemical engineering degree, the problem I have is that the mathematics we learn seems to be be tailor made to give you just enough tools to solve problems without a complete explanation.

Therefore In my own time I would like pursue a fuller study of mathematics alongside my degree. Can anyone recommend some books or ideas?

Thanks

That is precisely the sort of thing that caused me to switch from enginereing to mathematics, rather late.

For the sort of mathematics that is involved in most engineering what you need to learn is:

Linear Algebra -- Finite Dimensional Vector Spaces by Halmos

Introductory Real Analysis -- Elements of Real Analysis by Bartle

Advanced Real analysis and the theory of one complex variable --
Real and Complex Analysis by Rudin

Funtional Analysis -- Functional Analysis by Rudin

The first two books are undergraduate level and the last two are first-year graduate level.

You might also want to look at some topology and algebra. Dunnit and Foote's Abstract Algebra received a good recommendation from salsaonlien in another thread. Another good one is Algebra by Michael Artin which is perhaps more widely recognized. For introductory topology there are a lot of good choices. For someone with your background I suggest General Topology by Kelley. After that you might look at Massey's Algebraic Topology: An Introduction.

You can take this as far as you wish, or stop at any point.

Spivak Calculus
Linear Algebra Friedberg
Abstract Algebra Dummit and Foote
Introductory Real Analysis Fomin

Originally Posted by organic god

Hey Guys

I am currently in the 2nd year of my Chemical engineering degree, the problem I have is that the mathematics we learn seems to be be tailor made to give you just enough tools to solve problems without a complete explanation.

Therefore In my own time I would like pursue a fuller study of mathematics alongside my degree. Can anyone recommend some books or ideas?

Thanks

If you are looking for study material like video lectures for teaching yourself, I think this site can help you. It contains lots of links to math lectures from various colleges/universities.

http://www.infocobuild.com/education...thematics.html

Originally Posted by faerrleah

The maths and engineering umbrella is very wide and each area is fundamentally important because engineering uses mathematical fundamentals in the calculations of their projects. You can refer the following books which are the best books :

1. Advanced Engineering Mathematics:4th Edition by K.A. Stroud and Dexter J. Booth
2. Engineering Mathematics by B.S.Grewal
3. Advanced Engineering Mathematics:2nd Edition by Michael Greenberg

You have misunderstood my problem.

I don't really want engineering mathematics, i wanted purer mathematics