One Sentence Summary:
This book delves into the historical journey and mathematical puzzle surrounding Fermat’s Last Theorem and its eventual proof after more than 350 years.
Book Genre:
Non-fiction, mathematics, history of science
Main Topic of the Book:
The main topic of the book is the mathematical phenomenon known as Fermat’s Last Theorem, which remained unsolved for over 350 years and the journey of mathematicians to finally prove it.
Key Ideas:
– The mystery surrounding Fermat’s Last Theorem and its significance in the world of mathematics.
– The history of mathematics and the contributions of prominent mathematicians such as Diophantus, Pierre de Fermat, and Andrew Wiles.
– The development of number theory and its relation to Fermat’s Last Theorem.
– The mathematical techniques and strategies used by mathematicians to approach and finally prove the theorem.
– The impact of technology, specifically the use of computers, in the verification of mathematical proofs.
Main Parts of the Book and Short Summary:
The book is divided into three main parts, each exploring a different aspect of Fermat’s Last Theorem and its eventual proof.
– Part One: Historical Background
This section sets the stage by providing historical context, starting with ancient mathematicians and the development of number theory. It then introduces Pierre de Fermat and his famous “Last Theorem,” which became a mathematical obsession for many.
– Part Two: Journey to the Proof
Part two takes readers on the journey of notable mathematicians who attempted to solve Fermat’s Last Theorem but were met with failure. It covers the different approaches taken, including the contributions of Andrew Wiles, who ultimately proved the theorem.
– Part Three: Significance of the Proof
In the final section, the significance and impact of finally proving Fermat’s Last Theorem are explored. It delves into the widespread impact of the theorem and its proof on the world of mathematics and beyond.
Key Takeaways:
– The historical and mathematical significance of Fermat’s Last Theorem.
– The persistence and dedication of mathematicians in attempting to prove the theorem for over 350 years.
– The crucial role of technology and computers in verifying complex mathematical proofs.
– The interconnectedness of different mathematical concepts and theories.
Author’s Background and Qualifications:
Amir D. Aczel is a renowned scientist and author, with a Ph.D. in mathematical statistics from the University of Oregon. He has published several books on mathematics and science, including ‘Fermat’s Last Theorem.’ Aczel has also been a lecturer and visiting scholar at universities such as Harvard, Boston University, and the École des Hautes Études en Sciences Sociales in Paris.
Target Audience:
The target audience for ‘Fermat’s Last Theorem’ is primarily individuals interested in mathematics, history of science, and the intersection of these two fields. However, the book is written in a way that is accessible to a wide audience, including those without a strong background in mathematics.
Publisher and First Publication Date:
The book was published by Delta in 1997 and has since been reissued by other publishers.