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Monthly Archives: June 2022
Nets, Puzzle and postmen by Peter Higgins
I discovered this book while going through the shelf at Morris library.
Posted in Book Notes, Book Review, Graph Theory, Puzzle
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Impossibility of weighing two coins so that probability of all three outcomes is same
Posted in Probability
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5 divides 1^n+2^n+3^n+4^n except when 4|n
Posted in Modular Arithmetic, Number Theory
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Arbitrary sequence of non primes
For every positive integer , there is a sequence of consecutive positive integers containing no primes. The idea is to start with , so all the consecutive numbers ranging from it to are the factors.
Posted in Number Theory
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Mathematical Journeys by Peter D. Schumer
This is the book that introduced me to the topic of Josephus problem, spouse’s handshakes, green chicken contest, Beatty numbers among others. There are infinite many primes Prove why 5 divides Game of Nim Number of handshakes by wife Arbitrary … Continue reading
Posted in Algebra, Book Notes, Book Review, Number Theory
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Ingenious mathematical problems and methods by L.A.Graham
I started reading this book in 2011 when i went to Ranchi with my mom. It’s a collection of problems. My favorite is still the “Truck in the desert” problem. 2. Largest product 28. Euclid’s put put problem 81. Old … Continue reading
Posted in Algebra, Book Notes, Book Review, Calculus, Symmetry, Trick, Vector
Tagged L.A Graham
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Sumant's 1 page of Math 