Science/Mathematics– theme –

The theme of the fifth installment of the "Math Girls" series depicts people who are through mathematics, with a focus on high school students, and it's about "Galois theory." The book traces the thoughts left behind by a genius who single-handedly pioneered the new field of "group theory," but was too pioneering to be understood by the mathematicians of his time, and later died in a duel.

The claim that "the Earth is a kind of living organism" would sound quite dubious. However, the author who advocates for the "Gaia theory" is a well-known scientist who has been awarded numerous awards and degrees. In "Novacene: The Coming Age of Hyperintelligence", we can learn innovative insights about coexisting with AI and humanity.

Based on the book "ブラックホールをのぞいてみたら(If You Look Into a Black Hole)," which active researcher explains the mysterious and still enigmatic "Black Hole" that was directly observed for the first time in 2019, I explain the history of scientists' denial of its existence and the characteristics of this celestial body.

What does the phrase "scientifically correct" really mean? Why do scientists refrain from saying something is "absolutely correct" or "100% incorrect"? Let's ponder the question of "What kind of activity is science?" from a philosophical perspective, as well as from the perspective of science itself, as discussed by Yamucha in "哲学的な何か、あと科学とか(Something Philosophical, and Science)".

We feel like we make decisions and choices based on our own will, but neuroscience research suggests otherwise. The truth is, we don't have "free will" and a large part of our brain is controlled by something other than our consciousness, which we cannot access, as explained in "Incognito".

"Einstein's Shadow," a behind-the-scenes look at the grand EHT project to "synchronize radio telescopes around the world to photograph the Black Hole," reveals the difficulties of photographing the Black Hole and the human drama in a huge project involving a "Nobel Prize."

"IUT (Inter-Universal Teichmüller Theory)," which underwent an 8-year review process and was published in a journal, became a hot topic for proving the most important unresolved math problem, the "abc conjecture." Based on "宇宙と宇宙をつなぐ数学(mathematics that connects 宇宙と宇宙) " and " abc予想入門(abc conjecture primer)," it teaches about "IUT" and the "abc conjecture."

"Perfect Rigor" is a biography that depicts the life of the genius mathematician Perelman who solved the extremely difficult problem in mathematics, the Poincaré conjecture, and declined a million-dollar prize and a Nobel Prize-level honor. The book focuses on his personal life and the struggles of "the gifted" individual who was born and raised in the Soviet Union, with almost no mathematical descriptions.

The question "What is life?" may seem too basic, but it's actually quite difficult. 20th-century biology considered "self-replication of DNA" to be the essence of life, but the discovery of "viruses" forced a reconsideration. We can learn about the essence of life from two works by Shinichi Fukuoka: "生物と無生物のあいだ(Between Animate and Inanimate)" and "動的平衡(Dynamic Equilibrium)."

"Fermat's Last Theorem" is a conjecture left by a mathematician more than 350 years ago. Until it was proved by Wiles in 1995, there were countless dramas surrounding it. From Simon Singh's works and the "Math Girls" series, we can learn about the human drama and mathematical aspects of the theorem.

The theme of the fifth installment of the "Math Girls" series depicts people who are through mathematics, with a focus on high school students, and it's about "Galois theory." The book traces the thoughts left behind by a genius who single-handedly pioneered the new field of "group theory," but was too pioneering to be understood by the mathematicians of his time, and later died in a duel.

"Prime numbers" have fascinated mathematicians from all over the world for centuries. It was very difficult to find their patterns, but for the first time, it was showed as the "Riemann Hypothesis". From books like "The Music of the Primes" and "The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics," we can gain a basic understanding of the "Riemann Hypothesis" that genius mathematicians have taken on.