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Fermat's Last Theorem: The Book that Changed Mathematics Forever by Simon Singh (PDF Download)
If you are looking for a book that will challenge your mind and inspire your curiosity, then you should download Fermat's Last Theorem by Simon Singh. This book tells the story of one of the most famous and elusive problems in mathematics, and how it was finally solved after more than 350 years of efforts by generations of mathematicians.
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What is Fermat's Last Theorem?
Fermat's Last Theorem is a simple statement that was written by Pierre de Fermat, a 17th-century French lawyer and amateur mathematician, in the margin of a book. He claimed that he had a "truly marvellous demonstration" of the theorem, but the margin was too narrow to contain it. The theorem states that:
x + y = z has no whole number solutions for any value of n greater than 2.
This means that there are no three whole numbers that can satisfy the equation when the exponent is higher than 2. For example, when n is 2, we have the famous Pythagorean theorem, which has many solutions, such as 3 + 4 = 5. But when n is 3 or higher, there are no such numbers.
Fermat's Last Theorem seems simple to state, but it turned out to be extremely difficult to prove. For centuries, mathematicians tried to find a proof or a counterexample, but none succeeded. The theorem became a legend and a challenge for anyone who loved mathematics.
How was Fermat's Last Theorem solved?
The breakthrough came in 1993, when Andrew Wiles, an English mathematician who had been fascinated by Fermat's Last Theorem since he was a child, announced that he had found a proof after seven years of secret work. His proof was based on advanced techniques from number theory and algebraic geometry, and involved connecting Fermat's Last Theorem with another conjecture called the Taniyama-Shimura-Weil conjecture.
However, his proof was not complete. A gap was discovered by another mathematician during a peer review process. Wiles had to work for another year to fix the error, with the help of his former student Richard Taylor. Finally, in 1995, Wiles and Taylor published their revised proof in a journal called Annals of Mathematics. The proof was accepted by the mathematical community and Wiles was hailed as a hero. He received many awards and honors, including the Abel Prize, which is considered the Nobel Prize of mathematics.
What is the book about?
Fermat's Last Theorem by Simon Singh is not just a book about mathematics. It is also a book about history, culture, drama, and human achievement. Singh is a science journalist and TV producer who has a PhD in physics from Cambridge University. He wrote the book based on his BAFTA award-winning documentary film of the same name, which he co-directed for the BBC Horizon series.
The book traces the history of Fermat's Last Theorem from its origin to its solution, and introduces the reader to many fascinating characters and concepts along the way. Some of them are:
Pierre de Fermat, the mysterious genius who wrote the theorem and many other discoveries in number theory.
Leonhard Euler, the prolific Swiss mathematician who made many contributions to various fields of mathematics and science.
Sophie Germain, the French woman who overcame social barriers and prejudice to become one of the first female mathematicians.
Evariste Galois, the young French revolutionary who died in a duel at age 20, but not before creating a new branch of mathematics called group theory.
Bernhard Riemann, the German mathematician who proposed a hypothesis that links prime numbers with complex analysis.
Goro Shimura and Yutaka Taniyama, the Japanese mathematicians who conjectured a deep connection between elliptic curves and modular forms.
Kenneth Ribet, the American mathematician who proved that Fermat's Last Theorem follows from the Taniyama-Shimura-Weil conjecture.
Andrew Wiles, the British mathematician who devoted his life to solving Fermat's Last Theorem and achieved his childhood dream.
The book also explains some of the mathematical ideas and techniques that are involved in the proof of Fermat's Last Theorem, such as:
The method of infinite descent, which is a way of proving that something does not exist by assuming that it does and reaching a contradiction.
The modular arithmetic, which is a way of doing calculations with remainders after dividing by a fixed number.
The elliptic curves, which are curves that have special properties and applications in cryptography and number theory.
The modular forms, which are functions that have symmetries and patterns related to modular arithmetic.
The Galois representations, which are ways of representing algebraic structures using matrices.
The Iwasawa theory, which is a branch of number theory that studies how certain arithmetic objects change under different extensions of number fields.
Why should you download Fermat's Last Theorem by Simon Singh?
Fermat's Last Theorem by Simon Singh is a book that will appeal to anyone who loves mathematics, history, or stories of human achievement. It is a book that will make you appreciate the beauty and complexity of mathematics, and the dedication and creativity of mathematicians. It is a book that will inspire you to explore the mysteries and wonders of numbers and shapes, and to challenge yourself with new problems and ideas.
By downloading Fermat's Last Theorem by Simon Singh, you will get access to a PDF version of the book that you can read on your computer, tablet, or smartphone. You will also get access to a bonus chapter that was not included in the original edition of the book, which updates the story of Fermat's Last Theorem and its implications for mathematics and science. You will also get access to a video of Simon Singh's lecture on Fermat's Last Theorem, which he delivered at the Royal Institution in London.
Fermat's Last Theorem by Simon Singh is a book that you will not regret downloading. It is a book that will enrich your mind and your soul. It is a book that will make you marvel at the power and beauty of mathematics, and the human spirit that strives to understand it.
How can you download Fermat's Last Theorem by Simon Singh?
Downloading Fermat's Last Theorem by Simon Singh is easy and fast. All you need to do is follow these simple steps:
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Don't miss this opportunity to download one of the most amazing books ever written about mathematics and its history. Download Fermat's Last Theorem by Simon Singh today and discover the epic quest to solve the world's greatest mathematical problem.
Fermat's Last Theorem by Simon Singh is a book that will captivate you with its thrilling and inspiring story of mathematical discovery. It is a book that will teach you about the history and the beauty of mathematics, and the people who devoted their lives to solving one of the most challenging problems ever posed. It is a book that will make you appreciate the power and the elegance of mathematics, and the human spirit that seeks to understand it.
By downloading Fermat's Last Theorem by Simon Singh, you will get access to a PDF version of the book that you can read anytime and anywhere. You will also get access to a bonus chapter, a video lecture, and other resources that will enhance your reading experience. You will also get access to a community of readers who share your passion and curiosity for mathematics and its history.
Don't wait any longer. Download Fermat's Last Theorem by Simon Singh today and join the adventure of solving the world's greatest mathematical problem. e8c252e31a