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The History of Mathematics

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English Title The History of Mathematics
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★ Rights sold to China, Korea and Vietnam!
★ What is mathematics? Different eras have offered different answers. Over the centuries, how has this discipline gradually evolved? This book uses a chronological framework and storytelling to present the history of mathematics around the world, from ancient times to the present.
★ Like a “Celestial Bodies” for mathematics, it unfolds the intricate threads of mathematical development through captivating stories, enabling children to not only acquire knowledge but also appreciate the greatness of mathematical thought, thereby cultivating a broad, holistic understanding of mathematics.
★ Selected for the global exhibition list of “Drawing the World – 1001 Outstanding Children’s Books!” Initiated by the organizers of the Bologna Children’s Book Fair, a total of 15 Russian titles were chosen for inclusion.
★ This book is perfect for children—and adults—who are interested in mathematics and science!

Description

What is mathematics? Different eras have offered different answers. Yet if you think mathematics is merely calculation, you could not be more mistaken. In fact, every advance in human history has been inseparable from mathematics. In this book, questions about mathematics are gently unfolded and made accessible in a light-hearted, engaging manner.
Young readers will learn: Which mathematical methods were primarily used for computation in each historical period? What kinds of challenges did mathematicians face and overcome in those times? How has mathematics led to unexpected discoveries in other fields? From the circumference of a circle to pi, from the Pythagorean theorem to Fermat’s Last Theorem, from Newton’s law of universal gravitation to Einstein’s theory of relativity, and from Euclidean geometry to Riemannian space—how has the language of mathematics evolved, and much more.
Through this book, we see that whenever mathematics reaches a pivotal stage, brilliant minds emerge to push its frontiers ever deeper. Over nearly sixty stories, mathematical ideas are presented in an easygoing, entertaining style. Beyond simply recounting mathematical concepts and the lives of great mathematicians, the real strength of this work lies in weaving these disparate pieces of knowledge into a coherent framework. It invites readers to marvel at the profound beauty and power of mathematical thinking, as well as at the personal journeys of mathematicians—through their struggles and triumphs—in creating new mathematical insights. In doing so, it helps children develop a broad, holistic understanding of mathematics.

Author

[Author] Joseph Rybakov
Graduated from the Faculty of Philology at Moscow State University, he is a children’s playwright renowned for crafting engaging and lively stories for young readers.

[Author] Maria Astrina (1968)
She holds a degree from the Department of Computational Mathematics and Cybernetics at Moscow State University and later studied at the Hebrew University of Jerusalem in Israel. For eight years, she worked as a software developer before becoming a mathematics teacher in southwestern Moscow, where she has accumulated many years of teaching experience.

[Illustrator] Natalia Yaskina
A young Russian illustrator and member of the Moscow Artists’ Union, she graduated from the Department of Illustration and Printing at the Moscow State Academy of Printing Arts. She primarily creates illustrations for children’s books. Her work has earned her several prestigious awards, including the All-Russia Illustration Prize, the “Best Illustration for Children and Young Adults” award at the All-Russia Illustration Competition, and a place on the shortlist for the Nami Island International Picture Book Contest.
- In 2017, her illustrations for the fairy tale “Ivan Tsarevich and the Gray Wolf” were selected for the Nami Island International Picture Book Contest.
- In 2016, her illustration series «Say: Hello!» received a certificate for “Best Illustration for Children and Young Adults” at the All-Russia Illustration Book Competition.
- In 2012, her illustrations for the project «Moscow Assembly No. 1» were awarded the All-Russia Illustration Prize.
- In 2010, her illustrations for “Mary’s Folk Tales” made it onto the shortlist of the Korea International Book Illustration Competition.

Contents

Chapter 1: Primitive Mathematics
How Did Humans Learn to Count?
The Measurement of Time • Early Clocks
Ancient Calendars

Chapter 2: Numbers and Numerals: The Path to Science
The Invention of Numerals
Counting by Tens
Counting by Sixties
The Earliest “Zero”
Letters or Numbers?

Chapter 3: Ancient Egypt: Practical Mathematics
Arithmetic in Ancient Egypt
Geometry in Ancient Egypt

Chapter 4: Ancient Babylon: Computation and Clay Tablets
The Earliest Bankers
The Scribes’ “Cheat Sheets”
Discovered, Yet Ununderstood

Chapter 5: Ancient Greece: True Mathematics
Thales and His Proofs
Pythagoras: All Things Are Numbers
Unsolvable Problems for the Ancient Greeks
Moving Toward Algebra!
Zeno and Zeno’s Paradoxes
Postulates and Axioms
Archimedes and Applied Mathematics

Chapter 6: Astronomy in the Ancient World
The Egyptians Observe the Sun and Moon
The Disappearing Star Sirius
Astrology in Ancient Babylon
The Greeks Measure the Sun
The Ideal Cosmic Model

Chapter 7: Great Codebreakers: Mathematics in Ancient China
Negative Numbers
The Chinese Remainder Theorem

Chapter 8: Origins in India: Zero and Infinity
Division by Zero
Infinite Decimals

Chapter 9: The Light of the East: Mathematics in the Arab Empire
Mathematics Rapidly Shifts to the East
Ancient Science Translated into Arabic
The Sun of Arab Mathematics: Omar Khayyam

Chapter 10: Philosophical Discourse: European Mathematics in the Middle Ages and Renaissance
Europe Returns to Science
A New Face of Mathematics
The First Professional Mathematician: Fibonacci
Cubic Equations

Chapter 11: A New Era: Great Discoveries
Ptolemy’s Theorem
The Laws of Planetary Motion
Galileo: Experiment and Observation
Newton’s Achievements
Geometric Figures and Equations
Kepler and the Wine Barrel
Mathematical Analysis

Chapter 12: From Magnitsky to Romanchenko: Russian Mathematics
Peter the Great Brought Mathematics
Euler: i, π, e
The Origins of Topology
Russian Mathematicians
New Geometry

Chapter 13: Abstract Mathematics
Space and Plane Geometry
Riemann’s Non-Euclidean Phenomenon
Einstein: All of Physics Is Geometry!
New Algebra
Set Theory
The Continuum Hypothesis
Poincaré’s Conjecture

Chapter 14: Mathematics in Computers
The First Computer and the First Programmer
Great Theorists
Can Computers Think?

Conclusion

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