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Books/Study Material


Section wise books I recommend


Puzzles:
Mathematical Puzzles: A Connoisseur's Collection - by Peter Winkler
Entertaining Mathematical Puzzles - by Martin Gardner
Mathematical Puzzles of Sam Loyd

Algorithms:
Introduction To Algorithms - by Cormen, Lieserson, Rivest
Algorithms - by Robert Sedgewick

C++:
C++: The Complete Reference
The C++ Programming Language - by Stroustrup
Programming in C++ - by Cohoon and Davidson

Probability:
Probability, Random Variables And Stochastic Processes - by Papoulis
Fifty Challenging Problems in Probability with Solutions

Engineering Mathematics:
Advanced Engineering Mathematics - by Kreyszig
Linear Algebra And Its Applications - by Gilbert Strang
What Is Mathematics? - by Richard Courant

Quant Finance:
The Quants - by Scott Patterson
My Life as a Quant: Reflections on Physics and Finance
Fooled by Randomness: The Hidden Role of Chance in life and in the Markets
Beat the Dealer: A Winning Strategy for the Game of Twenty-One - by Thorpe

(Disclaimer: I get affiliate revenue from flipkart if you buy these books from flipkart through these links)


Some math links I follow


CSE Blog
Gurmeet Singh Manku's Blog
CMU - The Puzzle Toad
IBM Ponder This
William Wu's Collection
C Puzzles by Gowri Kumar
Rustan Lieno Collection
cotpi
A Puzzle Blog
Me, Myself and Mathematics
A Wanderer
Nicks's Mathematical Puzzles

Gowers's Blog
Tanya Khovanova’s Math Blog
in theory
The Math Less Travelled
Wild About Math!
Terry Tao
A Computer Scientist in a Business School
Combinatorics and more
A Neighbourhood of Infinity



Popular posts from this blog

Asking a girl out

This is not a puzzle. So, for those of you who follow this puzzle blog, please bear with me for just one post. Interesting Math in this article though :P

Most of my friends already read an article that I wrote more than an year back - "Speak Up"


Here, inspired by the movie, The Beautiful Mind, I give a mathematical analysis of asking a girl out. Nice time it is. Feb 10. No plans for Feb 14 and I am sure this article makes me look even more geekier and all the more reason for me to believe that I will be alone, yet again. But what the hell, lets do it!

Note: This is not an independent analysis. There are many "mathematics sites" which does "similar" analysis.

@Consultants, correct me if I am wrong in my estimates. :P

Why is there a need to be selective?

From the age of 15, I guess there are approximately 3,600 girls I have liked (On average days, I don't see new girls. But going outside, I like about 30 girls. Saying that I go out once every week right …

Consecutive Heads

Let's say A keep tossing a fair coin, until he get 2 consecutive heads, define X to be the number of tosses for this process; B keep tossing another fair coin, until he get 3 consecutive heads, define Y to be the number of the tosses for this process.

1) Calculate P{X>Y}
2) What's the expected value of X
3) What's the expected value of Y

This is probably the hardest puzzle I have ever put on my blog. Hence, I will post its solution in the post directly rather than on comment.

Solution:
1)
(Solved by me finally after 13 months :))

Make a state diagram. Let the state be (a,b) where a is the number of consecutive heads streak "A" is on currently and b is the number of consecutive heads streak "B" is on currently.

So, (0,3) (1,3) are final accepted states and (2,0) (2,1) (2,2) (2,3) are failure states. If you get tails, your contribution to the state reaches to "0"

f(State) = P(X>Y | "State" configuration initially)

f(0,0) = 1/4[f(…

Fraction Brainteaser

Source:
Sent to me by Gaurav Sinha

Problem:
Siddhant writes a Maths test and correctly answers 5 out of 6 Arithmetic questions and 20 out of 28 Geometry questions. In total, Siddhant scores 25 out of 34. 

Vaibhav writes another Maths test and correctly answers 20 out of 25 Arithmetic questions and 6 out of 9 Geometry questions. in total, Vaibhav scores 26 out of 34.

Note that
a) Vaibhav scores more than Siddhant
b) Siddhant score better than Vaibhav in both individual topics - 5/6 > 20/25 and 20/28 > 6/9

How is it possible?