تاریخ ریاضیات؛ از مصر باستان تا خوارزمی | History of Mathematics

Where did mathematics begin? Before there were formulas, textbooks, and exams, humans had to count, measure, divide their lands, predict the sky, and solve problems for real life. In this video, we will go through the history of mathematics; from ancient Egypt and the Rhind Papyrus, to Babylon and the base 60 number system, from Greece and Pythagoras and Euclid and Archimedes, to China, India, the birth of zero, Al-Khwarizmi, algebra, algorithms, Omar Khayyam, Fibonacci, and the strange mathematical competitions in Europe. This video is not just about a few historical names; it is about how mathematics was created step by step by different civilizations and how it went from counting and measuring to algebra, zero, infinity, algorithms, and the world of today. If you've always wondered where math came from, why it came into being, and what civilizations played a role in its creation, this video is for you. #HistoryofMathematics #Mathematics #HistoryofMathematics #Khwarizmi #Algebra #Algorithm #NumberZero #Pythagoras #Euclid #Archimedes #OmarKhayyam #Fibonacci #Mathematics #HistoryofScience #Matbaz ❤️ You can also follow me here: ▶️ Math Baz YouTube Channel (Persian):    / @math_bazi   ▶️ Math Baz English YouTube Channel (Hidden Math):    / @hiddenmath   ▶️ Vlog YouTube Channel:    / @weeklysaba   📸 Instagram | Everyday and Behind-the-Scenes Moments:   / math_by_saba   💬 Telegram | Mathematical Exercises and Discussions: https://t.me/mathbysaba -------- 00:00 A Journey Through the History of Mathematics 00:23 A World Full of Patterns 00:48 Why Mathematics Began 01:27 Ancient Egypt: Where Mathematics Became Serious 02:48 Mathematics and Bureaucracy 03:11 The Egyptian Number System 04:07 The Rhind Papyrus; The Rhind Papyrus: The First Math Book 04:23 Egyptian Multiplication and Binary Thinking 05:24 The Bread Problem and the Birth of Fractions 06:13 The Eye of Horus and Geometric Series 06:38 Circles and Pi in Ancient Egypt 07:53 The Pyramids: A Living Display of Mathematics 08:56 The 3-4-5 Triangle Before Pythagoras 09:16 The First Steps Toward Calculus 09:57 What Ancient Egypt Gave to Mathematics 10:35 Babylon; Babylon: When Numbers Became More Powerful 11:17 The Difference Between Babylon and Egypt 11:24 The Base-60 Number System 12:08 Place Value: Babylon’s Big Leap 13:03 The Birth of Zero 13:25 Equations: The First Step Toward Algebra 14:19 Triangles Before Pythagoras 14:58 The Strange Number √2 16:05 Greece; Greece: The Revolution of Proof 16:37 Pythagoras and the Beginning of the Story 17:18 The Shock of Irrational Numbers 18:18 Plato and the Importance of Geometry 18:52 Euclid and the Structure of Mathematics 19:39 Pythagoras and Music 20:51 Archimedes and Approaching Infinity 21:59 The Death of Archimedes 22:28 Hypatia: The End of an Era 24:06 China; China: Mathematics for Problem Solving 24:51 The Chinese Method and Elimination 25:52 The Lo Shu Magic Square 27:00 The Chinese Remainder Theorem 28:24 From China to India 28:31 India: The Birth of the Concept of Number 29:01 The Revolution of Zero 29:33 The Philosophical Meaning of Zero 30:00 Brahmagupta and the Rules of Zero 30:32 Infinity and Division by Zero 31:16 Negative Numbers 31:38 Trigonometry; Trigonometry: A Tool for Measuring the World 32:41 Infinite Series and a Major Leap 34:11 Entering Iran and the Golden Age 34:32 Al-Khwarizmi and the Birth of Algebra 35:44 Algorithm; Algorithm: Al-Khwarizmi’s Legacy 36:14 More Complex Equations with Omar Khayyam 37:43 Khayyam, Poetry, and Mathematics 38:18 The Transfer of Mathematics to Europe 38:40 The Fibonacci Sequence 39:15 Competition in European Mathematics 39:29 Tartaglia and Cardano 40:48 Europe Gets Ready for a Mathematical Revolution 41:11 Mathematics Was Built by Civilizations 42:23 Mathematics Is a Universal Language