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 August 17th, 2014, 08:59 AM #1 Newbie   Joined: Aug 2014 From: Solihull, England Posts: 1 Thanks: 1 What books should people read to pass the Cambridge STEP papers? The Cambridge STEP papers can be downloaded here: Faculty of Mathematics MATHEMATICAL TRIPOS EXAMINATION PAPERS What books should people read to pass these tough examination questions? Thanks from raul21
August 17th, 2014, 09:41 AM   #2
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Math Focus: philosophy/found of math, metamath, logic, set/category/order/number theory, algebra, topology
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 Originally Posted by wulgulmerang The Cambridge STEP papers can be downloaded here: Faculty of Mathematics MATHEMATICAL TRIPOS EXAMINATION PAPERS What books should people read to pass these tough examination questions?
For the 1st paper, I believe any textbook on linear algebra and calculus should do. Especially if it has exercises. I saw only 1 problem on complex analysis, so maybe that textbook too. Maybe Krantz-Calculus Revisited, or Yet another calculus textbook. I would generally recommend Lang-Complex Analysis, but that would be an overkill.

I'd like to solve some.

$z=2+2i$

$z^4={2(1+i)}^4=2^4{1+i}^4=16{{1+i}^2}^2=16{2i}^2= 64i^2=-64$

$e^{2z^2}-1=0 {e^{z^2}}^2=1 e^{z^2}=1$ or
$e^{z^2}=-1$
Putting $w=z^2$
$e^w=1 e^x(cos y + i sin y)=1 x=0 cos y + i sin y = 1 cos y = 1, sin y = 0 y=2k \pi z= \sqrt {2k \pi}$

Last edited by raul21; August 17th, 2014 at 10:22 AM.

 August 17th, 2014, 10:25 AM #3 Senior Member     Joined: Apr 2014 From: zagreb, croatia Posts: 234 Thanks: 33 Math Focus: philosophy/found of math, metamath, logic, set/category/order/number theory, algebra, topology $z=2+2i$ $z^4={2(1+i)}^4=2^4{1+i}^4=16{{1+i}^2}^2=16{2i}^2= 64i^2=-64$ $e^{2z^2}-1=0 {e^{z^2}}^2=1 e^{z^2}=1$ or $e^{z^2}=-1$ Putting $w=z^2$ $e^w=1 e^x(cos y + i sin y)=1 x=0 cos y + i sin y = 1 cos y = 1, sin y = 0 y=2k \pi z= \sqrt {2k \pi}$
 August 17th, 2014, 11:39 AM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,674 Thanks: 2654 Math Focus: Mainly analysis and algebra I'm glad you find those papers so tough, because they are past papers from the actual Mathematics course at Cambridge. If you manage to get a place, you'll be given a reading list to help you study for the exams. The idea of the STEP papers is (or perhaps that should be was, because it's 20 years or more since I needed to worry about them) to use only material that you should have studied at 'A'-level, but to use it in imaginative ways. Accordingly, you should probably focus on practising with past papers, rather than trying to acquire new knowledge. Last edited by v8archie; August 17th, 2014 at 11:48 AM.
 August 17th, 2014, 11:57 AM #5 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,674 Thanks: 2654 Math Focus: Mainly analysis and algebra Here's some pages (referenced on the Cambridge website) that may be of help: Pure Mathematics Applied Mathematics
 April 14th, 2015, 10:19 PM #6 Newbie   Joined: Apr 2015 From: USA Posts: 12 Thanks: 0 What books should people read to pass the Cambridge STEP papers? I think People should Read that Books to Pass the Cambridge Step Papers, which will give them a great General Knowledge about these Papers as well as you should Check their Result in Last 3 or 4 Years.
 September 24th, 2015, 05:01 AM #7 Member     Joined: Sep 2015 From: London Posts: 31 Thanks: 6 I passed the STEP exams a couple of years ago, and my preparation was mostly using knowledge from A-level. There are over a thousand questions available, and my best advice is to spend as much time as possible, preferably over a time period of at least 6 months, doing those questions. They'll be very tricky at first, especially those on STEP III, but you *will* get the hang of it eventually. I believe there are also some documents that were prepared by Stephen Siklos for the purpose of preparing for STEP, where he gives some general strategies and has lots of worked examples. TheStudentRoom is also an excellent resource for STEP stuff.
 November 10th, 2015, 08:24 AM #8 Newbie     Joined: Aug 2015 From: USA Posts: 29 Thanks: 0 is there any online free lancer for maths and free quiz web for cambridge studies
 November 10th, 2015, 09:49 AM #9 Senior Member   Joined: Jun 2015 From: England Posts: 915 Thanks: 271 You will not progress in maths at any level, just reading. You must practise, practise, and practise again. Or, as my old Nuffield Physics teacher used to say Questions, questions, questions.

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