For anyone out there look for a good book on mathematical analysis the following is really excellent.
A First Course in Mathematical Analysis by David Alexander Brannan
This is based on a course given by the open university in the UK and it really is a wonderful introduction to analysis...
His books in general are excellent i.e A first course in Calculus or Calculus of several veriable etc. The linear algebra one does not have solutions so not sure if that's what your looking for in terms of self study.
For anyone out there looking to get a good solid grasp of mathematics for Physics the following is a few books i would highly recommend.
- A First course in Calculus by Serge Lang
- Calculus of several variables by Serge Lang
- The Calculus Lifesaver: All the Tools You Need to Excel at...
Thanks. Yes i got the direction of the inequality the wrong way round but i see your approach. First multiply both side by b, then d and then add ab to both sides, all of which can only be done on the assumption that all values are > 0 and hence preserving the direction of the inequality.
I am 34 and professional software developer working working in the finance sector. I have been in IT for the last 10 years but my background is Physics, i have a 1st class honours in Physics and a masters degree in computational physics and i am contemplating doing a Phd in physics because its...
Hi
I am working my way through Serge Langs A first course in Calculus and have encountered this question/proof which i am not sure how to do. Any assistance much appreciated.
Let a,b,c,d > 0 such that a/b > c/d Prove that
a/b < (a+c)/(b+d)
?
Thanks
David.