Book Details
Fermat's Last Theorem: A mystery that puzzled the wise men of the world for 358 years
(British) Simon Singh / Shanghai Translation Publishing House /May 1, 2005
Written by British writer Simon Singer, Fermat's Last Theorem deeply analyzes a 358-year-old mathematical mystery. Fermat's Last Theorem, also known as Fermat's Last Theorem, is one of the most legendary unsolved mysteries in the history of mathematics. The book brilliantly describes the tortuous journey that mathematicians have gone through to prove this theorem, as well as their unremitting spirit of exploration. From Fermat's conjecture to the attempts and frustrations of successive mathematicians, to Andrew Wiles' amazing breakthrough, this work vividly presents an important chapter in the history of mathematics to readers. It not only reveals the beauty of mathematics, but also shows the infinite charm of human wisdom. For both mathematics enthusiasts and history enthusiasts, this book is a rare masterpiece.
Outline Notes
Book Summary of "Fermat&39;s Last Theorem: A Mystery That Has Confused the World&39;s Wisdom for 358 Years"Chapter 1: The Legend of Fermat&39;s Last Theorem1.1 Fermat&39;s Initial Discovery - Key Point: Fermat had doubts about the Pythagorean Theorem when reading Diophantus&39;s Arithmetic. - Viewpoint: Fermat proposed that there could not be a square root on the hypotenuse of a right triangle with rational sides. 1.2 Fermat&39;s Conjecture and Proof - Key Point: Fermat claimed to have found a "truly wonderful" proof, but left no trace. - Viewpoint: Fermat&39;s conjecture became one of the famous unsolved problems in the history of mathematics. Chapter 2: Challenges and Explorations in the Mathematical Community2.1 Euler&39;s Attempt - Key Point: Euler first tried to solve Fermat&39;s Last Theorem and proposed a proof for a specific case. - Viewpoint: Although Euler&39;s efforts did not completely solve the problem, his work laid the foundation for later mathematicians. 2.2 Contributions of Gauss and Legendre - Key Point: Gauss and Legendre each advanced the study of Fermat&39;s Last Theorem in their own way. - Viewpoint: The work of the two mathematicians increased the complexity of the problem, but also revealed new mathematical concepts and methods. Chapter 3: The Birth of Modern Number Theory 3.1 Kummer&39;s Work - Key Point: Kummer discovered the connection between Fermat&39;s Last Theorem and algebraic number theory, which promoted the development of the theory. - Viewpoint: Kummer&39;s work is considered to be one of the beginnings of modern number theory. 3.2 The Development of Algebraic Number Theory - Key Point: The development of concepts such as Galois theory and Dedekind field provided new tools for the proof of Fermat&39;s Last Theorem. - Viewpoint: Advances in algebraic number theory paved the way for the final solution of Fermat&39;s Last Theorem. Chapter 4: Wiles&39; Proof and Legacy4.1 Wiles&39; Early Work - Key Point: Wiles showed a keen interest in Fermat&39;s Last Theorem at a young age. - Viewpoint: Wiles&39; research focused on elliptic curves and modular forms, which are closely related to Fermat&39;s Last Theorem. 4.2 Wiles&39; Proof Process - Key Point: Wiles first announced the proof of Fermat&39;s Last Theorem in 1994, but it was later discovered that there was an important flaw. - Viewpoint: A year later, he and his collaborators fixed the flaw and completed the first proof of Fermat&39;s Last Theorem in history. 4.3 The Legacy of Wiles&39; Proof - Key Point: Wiles&39; work not only left a deep mark on mathematics, but also stimulated the public&39;s interest in mathematics. - Viewpoint: The proof of Fermat&39;s Last Theorem is considered a milestone event in mathematics. --- The above is a book summary of "Fermat&39;s Last Theorem: A Mystery That Has Perplexed the World&39;s Wise Men for 358 Years" by Simon Singer. It provides a concise overview of the framework of the whole book by summarizing the main content and key points of each chapter.
Catchy Sentences
For the book "Fermat's Last Theorem: A Mystery That Has Puzzled the World's Wisdom for 358 Years", they are all unique, profound, unique, beautiful, wise or creative. These sentences or paragraphs are numbered and presented in groups of three for readers to appreciate. --- 1. "Fermat's Last Theorem is like a shining pearl in the world of mathematics. Its brilliance attracts countless mathematicians to try to uncover its mysterious veil." 2. "The reason why this theorem is fascinating is not only because it has stumped the most outstanding minds in history, but also because it reveals the deep beauty and harmony of mathematics." 3. "The seemingly careless note on the edge of Fermat's notes has become the most famous unsolved mystery in the history of mathematics." --- 4. "The exploration of Fermat's Last Theorem is like a relay race spanning centuries, and each generation of mathematicians is contributing their own strength to the final sprint." 5. "The process of proving Fermat's Last Theorem is not only a test of mathematical knowledge, but also a test of mathematicians' will and patience." 6. "The road to proving Fermat's Last Theorem is full of twists and turns and surprises. It witnesses the glorious course of the development of mathematics." --- 7. "Simon Singer tells the legendary story of Fermat's Last Theorem with his vivid writing, making readers feel as if they are in that exciting period of history." 8. "This book is not only a work on the history of mathematics, but also a hymn to human wisdom and the spirit of exploration." 9. "Through Fermat's Last Theorem, we can get a glimpse into the mysteries of the palace of mathematics and feel the sparks of thought of those great mathematicians." --- 10. "The proof of Fermat's Last Theorem is not only a major breakthrough in the field of mathematics, but also a great affirmation of human wisdom." 11. "Under Simon Singer's narration, Fermat's Last Theorem is no longer an abstract mathematical problem, but a magnificent chapter of history." 12. "This book made me deeply realize that mathematics is not only a science, but also a culture and a spirit." --- 13. "Every mathematician who is committed to proving Fermat's Last Theorem is declaring to the world in his own way: human wisdom is endless." 14. "Fermat's Last Theorem not only shows us the charm of mathematics, but also allows us to see the infinite desire and pursuit of mankind for the unknown world." 15. "The proof of Fermat's Last Theorem is like a novel with ups and downs, and each chapter is full of suspense and surprises." --- 16. "After reading this book, I am more convinced that mathematics is the key to understanding the universe, and Fermat's Last Theorem is the brightest gem on this key." 17. "Simon Singer's profound and easy-to-understand writing style allows even laymen in mathematics to appreciate the magic and beauty of Fermat's Last Theorem." 18. "This book not only gave me a deeper understanding of Fermat's Last Theorem, but also made me have an unprecedented awe and love for the subject of mathematics." --- 19. "Fermat's Last Theorem is a masterpiece that spans mathematics, history, and culture. It allows us to see the greatness of human wisdom and the infinite charm of mathematics." 20. "The final proof of Fermat's Last Theorem is the best example of the combination of human wisdom and the beauty of mathematics. It will always shine and illuminate the path of mathematical development." --- These sentences or paragraphs are intended to show the profound connotation, unique perspective, beautiful language, wisdom and creativity of the book "Fermat's Last Theorem", hoping to provide readers with valuable reference.
Author Introduction
Title: Simon Singh: A British science writer who reveals the secrets of mathematics Simon Singh is a British science writer who is famous for his popular science works that are easy to understand.< His book Fermat's Enigma is a classic in the field of popular mathematics, which has solved this puzzle that has puzzled the world's wise men for 358 years.
Basic personal information Simon Singh was born in 1960 and has British nationality.< Education and career background Singh received a PhD in particle physics from Cambridge University.
His academic background laid a solid foundation for his later scientific writing.< Before becoming a full-time writer, Singh worked for the BBC as a science program producer.
Writing career Singh's writing career began in 1997, and his first work, The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography, received wide acclaim.
Since then, he has published a number of works, including Big Bang: The Origin of the Universe and The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography.< Style and Theme Singer's works are known for being easy to understand and fascinating.
He is good at presenting complex scientific concepts to readers in the form of vivid stories, so that readers can gain knowledge while enjoying reading.< Mathematics and cryptography are common themes in his works.
Personal Life There is little public information about Singer's personal life.< It is understood that he is married and lives in the UK with his family.
Social Impact Singer's works have a positive impact on popularizing scientific knowledge.< His book Fermat's Last Theorem not only aroused the public's interest in mathematics, but also inspired many people's passion for scientific exploration.
Citations and Evaluation Fermat's Last Theorem has won praise from many authoritative media and experts.< The New York Times called it "a fascinating history of science", while Scientific American commented that it "presents complex mathematical problems to readers in an easy-to-understand way".
Latest News Simon Singer continues to be active in the field of science writing and continues to publish new works.< He also frequently participates in public lectures and science festivals to share scientific knowledge with the public.
Overall, Simon Singer is an outstanding science writer, and his works have made great contributions to popularizing scientific knowledge.< Through his works, more people can understand and appreciate the beauty of science.
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