Inom TurdikulovMathematics
Mathematics is the study of numbers, shapes, and patterns. The word comes from the Greek μάθημα (máthema), meaning “science, knowledge, or learning”, and is sometimes shortened to maths (in British Commonwealth countries) or math (in North America).
It is the study of:
- Numbers: including how things can be counted.
- Structure: including how things are organized, but also how they can be or could have been. This subfield is usually called algebra.
- Place: where things are, and spatial arrangement, including arrangements of spaces themselves. This subfield is usually called geometry.
- Change: how things become different. This subfield is usually called analysis.
- Applied math is useful for solving problems in the real world. People working in business, science, engineering, and construction use mathematics.
— Simple English Wikipedia
I have learning path to understand mathematics better and use in my life and work.
Learning path
I place here all my learning resources related to mathematics, here is no strict grouping, but I’m trying to keep it organized by priority.
To understand custom bullet list types check my notation note.
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- Strogatz - The Joy of x
- Worral - Proofs and Refutations
- Vygodskij - Spravochnik po eliemientarnoi matiematikie
- Litvak and Raygorodskiy - Komu nuzhna matiematika
- Прелюдия к математике
- LifeTensor - YouTube
- Khan Academy, mathematics
- Чудесное совпадение или ожидаемая связь: почему π²≈g / Хабр
- Закон обратных квадратов
- Закон обратных квадратов — Википедия
- Прямая и обратная пропорциональность. Формулы, обозначение, примеры
- Курант, Роббинс: Что такое математика?
- Trushin - Kombinatorika
- Linear Algebra
| Year | Title |
|---|---|
| Перельман - Занимательная математика | |
| Трушин - Комбинаторика | |
| Зайцев и Рыжков и Сканави - Элементарная Математика |
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Сканави
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Intermediate Algebra, Miller et al
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❗ Курант, Роббинс: Что такое математика?
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Savvateev - vviedieniie v nastoiashchuiu matiematiku
Theory and Interactive:
- Fast inverse square root - Wikipedia
- Multiplication table
- Math Games
- GeoGebra
- Mathway | Algebra Problem Solver
- Mathematics - Wikiversity
Basics:
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Математическая продлёнка. Квадратные уравнения во всей красе
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Math Skills: How to find Factorial, Permutation and Combination (Choose)
Popular science and more:
- Introduction to Mathematical Thinking
- Numberphile на русском
- 100 уроков Математики. А. Савватеев - YouTube
- Число Грэма Грехема(xkcdoff) - YouTube
- Задачи тысячелетия
Algebra and Analysis:
- Алгебра, уроки в свободном доступе
- Zorich - Matematicheskij analiz
- Schroder - Mathematical analysis
- Demidovich - Sbornik zadach i uprazhnenij po matematicheskomu analizu
Discrete mathematics and programming related:
- A Programmer’s Introduction to Mathematics
- Ликбез по дискретной математике
- Introduction to Numerical Computing with NumPy
- Concrete Mathematics: A Foundation for Computer Science
- Romanovskij - Diskretnyj analiz
- Kushnirenko - Programmirovanie dlya matematikov
- Kun - A programmers introduction to mathematics
Computer Graphics related:
Chat rooms, forums, etc
- artofproblemsolving
- reddit math
- Discord Mathematics
- nforum
- math.stackexchange
- mathoverflow
- category theory
- hott
Videos
- Математик и черт - теорема Ферма, научно-популярное.
- Деконструкция – Математик и чёрт (рассказывает Алексей Савватеев) - YouTube.
Число Пи
Суть числа Пи?
Отношение длины окружности к диаметру круглого объекта или круга.
Pi = L / d ≈ 3.1415926535897932384626433832795028841971693993751058209749445923078164
Пи иррационально, нет двух таких целых чисел, чтобы получить число Pi.