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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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestBasic 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

GeneratingFunctionologyis the go-to book.I will go against the grain here and recommend Wildberger's

Divine Proportionsif 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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