Monthly Archives: May 2015

A book of Abstract Algebra Notes

Posted on May 29, 2015 by Sumant Sumant

Chapter 1 Difference between elementary algebra and abstract algebra. Difference is in the emphasis. Elementary algebra emphasis is on technique. Abstraction is all relative. One person’s abstraction is another person’s bread and butter. The abstract tendency in mathematics is little … Continue reading →

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Realm of Racket: Learn to Program, One game at a Time!

Posted on May 25, 2015 by Sumant Sumant

Why would i want to learn about Racket! Racket allows functional programming and other different paradigms that even hard-core programmer have never seen before. What makes Lisp so cool and unusual Lisp is highly expressive language. With Lisp you take … Continue reading →

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Systematic Program Design

Posted on May 23, 2015 by Sumant Sumant

Lecture 1 In this lecture he introduces the idea of expression. We started out by choosing the language who to design program basic version. Then we learned how to use primitive operators like (+ 2 3), (* 4 5) and … Continue reading →

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How to think about analysis

Posted on May 16, 2015 by Sumant Sumant

Concepts of Analysis 10. The Real Numbers 9. Integrability 8. Differentiability 7. Continuity 6. Series 5. Sequences Studying Analysis 4. Learning Analysis 3. Proofs 2. Axioms, Definitions and Theorems 1. What is analysis like Introduction: Most people think that Analysis … Continue reading →

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Linear Algebra Done Right

Posted on May 16, 2015 by Sumant Sumant

Chapter 10: Trace and Determinant (Page 295-332) Chapter 9: Operations on Real Vector Spaces (Page 275-294) Chapter 8: Operators on Complex Vector Spaces (Page 241-251) Chapter 7: Operators on Inner Product Spaces (Page 203-240) Chapter 6: Inner Product Spaces (Page … Continue reading →

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Markov Chain

Posted on May 4, 2015 by Sumant Sumant

Here is a snake and ladder game and this was the markov chain matrix  4.1snakesAndLadders A = [ %1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 W W … Continue reading →

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Head First Statistics: Dawn Griffiths: Notes

Posted on May 2, 2015 by Sumant Sumant

Chapter 10: Using Statistical Sampling: Taking Samples He begins this chapter with the problem of a confectionary company which makes loads of gum balls. They want to increase their sale and want to know how long does the gum balls … Continue reading →

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Clustering Methods in Linear Algebra and finding groupies

Posted on May 2, 2015 by Sumant Sumant

Watch this video What do we do We create adjacency matrix for an undirected graph ie if 1 is connected to 2 then 2 is also connected to 1. We find the diagonal matrix ‘D’ by adding the 1s in … Continue reading →

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