I have so much trouble in these topics, especially algebra. (even though I'm lvl 5):
Algebra
- Linear algebra
- Proving inequalities (every single theorem)
- Polynomials, functional equations and analysis
- Trigonometry and complex numbers (from basic to advanced)
- Sequences and series
Combinatorics
- Pigeonhole principle (my brain is like a pigeon in this topic)
- Colouring techniques
- Generating functions
Geometry
- Trilinear coordinates and barycentric coordinates
- Triangle centers
- Special stuffs of a triangle (Pedal triangle, 9-point circle, etc)
Number Theory
- Modular arithmetic (especially Chinese Remainder Theorem)
- Theorems about prime numbers
I'm starting to do some coding and stuffs, can you suggest me which coding language is easier, and what website I can learn coding?
Thank you!
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Samuraiwarm Tsunayoshi
4 years ago
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1 vote
Easy Math Editor
*italics*or_italics_**bold**or__bold__paragraph 1
paragraph 2
[example link](https://brilliant.org)> This is a quote# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"2 \times 32^{34}a_{i-1}\frac{2}{3}\sqrt{2}\sum_{i=1}^3\sin \theta\boxed{123}Comments
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Top NewestBasic Mathematics - Lang
Geometry - Lang
The geometry books - Kiselev are Planimetry and Stereometry
Geometry - Jacobs (get the 1st or 2nd edition)
Algebra - Gelfand
Trigonometry - Gelfand
Precalculus - Sullivan
Functions and Graphs - Gelfand
Plane Trigonometry - Loney
The Elements of Coordinate Geometry - Loney
Intermediate Algebra - Sullivan
Geometry for the Practical Man - Thompson
Algebra - Welchons and Krickenberger
Principles of mathematics - Oakley and Allendoerfer (this book contains high school mathematics but also abstract algebra and calculus)
The Art of Problem Solving books
The NCERT books used in India
The GCSE/IGCSE and AS/A level books used in UK
Number Theory
An Introduction to the Theory of Numbers - Hardy, Wright
A Classical Introduction to Modern Number Theory - Ireland, Rosen -
Elementary Number Theory -Jones
This list is by ShivamS
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Wow that's a lot! Thank you!!!
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For Geometry, I would suggest "Geometry Revisited"
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Love this book! Thank you!!!
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I also need help in Combinatorics!
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I can recommend codecademy for programming. The best way to learn programming is by doing it.
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better than Khan Academy's programming? I mean, all I've learned in first two hours is how to move a rectangles and ellipses and color them and stuff
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i agree with you @John Muradeli khan programming is not the best
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Lol my head exploded twice during my python class (just completed pyglatin and almost lost hope of doing python XD)
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For linear algebra, Anton & Rorres is highly recommended. Strang's book also comes highly recommended.
For generating functions, Wilf's GeneratingFunctionology is the go-to book.
I will go against the grain here and recommend Wildberger's Divine Proportions if you like to learn more about geometry from an affine perspective; he goes into more detail when talking about triangle centres & general triangle geometry. If you're looking for a challenge, his joint work with Le in this stuff may interest you.
I could go on and on, but with really basic stuff like this I think formal training would be better suited for you.
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