Nov 26, 2015

Favorite ebooks in Maths

No comments:

Pigeonhole Principles and its application

http://www.artofproblemsolving.com/wiki/index.php/Pigeonhole_Principle

Olympiad Problems

  1. Seven line segments, with lengths no greater than 10 inches, and no shorter than 1 inch, are given. Show that one can choose three of them to represent the sides of a triangle. (Solution)
    (Manhattan Mathematical Olympiad 2004)
  2. Prove that having 100 whole numbers, one can choose 15 of them so that the difference of any two is divisible by 7. (Solution)
    (Manhattan Mathematical Olympiad 2005)
  3. Prove that from any set of one hundred whole numbers, one can choose either one number which is divisible by 100, or several numbers whose sum is divisible by 100. (Solution)
    (Manhattan Mathematical Olympiad 2003)
  4. Prove that among any ten points located on a circle with diameter 5, there exist at least two at a distance less than 2 from each other. (Solution)
    (Japan 1997)
  5. Every point in a plane is either red, green, or blue. Prove that there exists a rectangle in the plane such that all of its vertices are the same color. (Solution)
    (USAMTS Year 18 - Round 1 - Problem 4)
  6. There are 51 senators in a senate. The senate needs to be divided into $n$ committees such that each senator is on exactly one committee. Each senator hates exactly three other senators. (If senator A hates senator B, then senator B does 'not' necessarily hate senator A.) Find the smallest $n$ such that it is always possible to arrange the committees so that no senator hates another senator on his or her committee. (Solution)

No comments:

Generating functions for series

No comments:

Oct 23, 2015

Stanford Engineering Everywhere EE261 - The Fourier Transform and its Applications - VideoLectures - VideoLectures.NET

No comments:

Heat equation on a ring: Fourier Analysis

No comments:

Pauls Online Notes : Differential Equations - Solving the Heat Equation

No comments:

May 7, 2015

Searching for Mathematical Tripos resources



http://math.stanford.edu/~lekheng/tripos/



Thirsting for more?

https://goo.gl/rQjSog

And just a sampling of the above:


  • MATHEMATICAL TRIPOS Part III PAPER 54 ...

    www.maths.cam.ac.uk/postgrad/mathiii/rubric/PaperIII_54.pdf
    MATHEMATICAL TRIPOS. Part III. Tuesday, 3 June ... Attempt no more than THREEquestions. There are FOUR questions in total. The questions carry equal  ...

  • [PDF]MATHEMATICAL TRIPOS Part III PAPER 7 TOPICS IN ...

    www.maths.cam.ac.uk/postgrad/mathiii/rubric/PaperIII_7.pdf

    MATHEMATICAL TRIPOS. Part III. Monday, 9 June ... Attempt no more than THREEquestions. There are FOUR questions in total. The questions carry equal  ...

  • MATHEMATICAL TRIPOS Part III PAPER 27 STOCHASTIC ...

    www.maths.cam.ac.uk/postgrad/mathiii/rubric/PaperIII_27.pdf
    MATHEMATICAL TRIPOS. Part III. Thursday, 5 June, 2014 ... Attempt no more than FOUR questions. There are SIX questions in total. The questions carry equal  ...

  • MATHEMATICAL TRIPOS Part III PAPER 74 ...

    www.maths.cam.ac.uk/postgrad/mathiii/rubric/PaperIII_74.pdf
    MATHEMATICAL TRIPOS. Part III. Monday, 2 June ... Attempt no more than THREEquestions. There are FOUR questions in total. The questions carry equal  ...

  • [PDF]MATHEMATICAL TRIPOS Part III PAPER 66 NUMERICAL ...

    www.maths.cam.ac.uk/postgrad/mathiii/rubric/PaperIII_66.pdf

    MATHEMATICAL TRIPOS ... Attempt no more than THREE questions from Section A... The questions in Section B carry twice the weight of those in Section A.

  • [PDF]GUIDE TO ADMISSIONS in MATHEMATICS - Faculty of ...

    Mar 20, 2015 - Tripos produced by the Faculty of Mathematics (available on our web ....of success in the Mathematical Tripos, partly because the questions.

  • [PDF]MATHEMATICAL TRIPOS Part III PAPER 65 CONVEX ...

    www.maths.cam.ac.uk/postgrad/mathiii/rubric/PaperIII_65.pdf

    MATHEMATICAL TRIPOS. Part III. Tuesday, 3 June, 2014 ... Attempt no more than FOUR questions. There are FIVE questions in total. The questions carry equal  ...

  • [PDF]

    MATHEMATICAL TRIPOS Part III PAPER 4 TOPICS IN ...

  • www.maths.cam.ac.uk/postgrad/mathiii/pastpapers/2014/PaperIII_4.pdf

    May 30, 2014 - MATHEMATICAL TRIPOS. Part III ... Attempt no more than THREEquestions. There are ... You may not start to read the questions printed on the ...

    • [PDF]MATHEMATICAL TRIPOS Part III PAPER 37 ...

  • www.maths.cam.ac.uk/postgrad/mathiii/rubric/PaperIII_37.pdf

    MATHEMATICAL TRIPOS. Part III. Wednesday ... MATHEMATICS OF OPERATIONAL RESEARCH. Attempt no more than FOUR questions. There are SIX  ...

    • [PDF]MATHEMATICAL TRIPOS Part III PAPER 20 TOPOS THEORY

  • www.maths.cam.ac.uk/postgrad/mathiii/rubric/PaperIII_20.pdf

    MATHEMATICAL TRIPOS. Part III. Friday, 30 May, 2014 9:00 am to 12:00 pm. PAPER 20. TOPOS THEORY. Attempt no more than THREE questions, of which at  ...

    • [PDF]MATHEMATICAL TRIPOS Part III PAPER 2 LIE ALGEBRAS ...

  • www.maths.cam.ac.uk/postgrad/mathiii/pastpapers/2014/PaperIII_2.pdf

    Jun 2, 2014 - MATHEMATICAL TRIPOS. Part III ... Attempt no more than THREEquestions. There are ... You may not start to read the questions printed on the ...
  • Shifting focus into just one site, now the search results narrows to 60+:
  • And this one link widen to all the universities in USA, thus resulting 1000+ mathematical tripos related questions papers:

    • No comments:
    Subscribe to: Posts (Atom)