Positives The book is widely praised for its fascinating subject: the life and genius of Grigori Perelman, a mathematician whose extraordinary achievements and subsequent withdrawal from public life have captivated many. Reviewers highlight the book's success in weaving together various narrative threads, offering a vivid and insightful look into the unique culture of mathematics education in the former Soviet Union. It provides a detailed account of the academic environment, including the challenges faced by certain groups of students, and the broader international mathematical community. Many readers found the storytelling engaging and accessible, even for those without a strong mathematical background, as it skillfully avoids overly technical details while conveying the significance of Perelman's work. The author's diligent research, interviewing numerous individuals who crossed paths with Perelman, is also commended for attempting to reconstruct the story of such a reclusive figure.
Negatives Despite its strengths, the book draws significant criticism, primarily concerning the author's perceived tone and approach. Numerous reviewers felt the narrative was colored by a judgmental or even contemptuous attitude towards Perelman, at times bordering on a "character assassination" rather than a dispassionate account. The author's lack of direct contact with Perelman, due to his reclusiveness, means the biography relies heavily on second or third-hand accounts and speculation, leading some to question its reliability and depth of insight into Perelman's true motivations. Specifically, the book's attempt to diagnose Perelman's behavior, particularly through the lens of a specific psychological condition, was deemed by many as disrespectful and unsubstantiated. Some readers also found the balance skewed, wishing for more mathematical content and less focus on political commentary or what they perceived as irrelevant personal details.
Conclusion Ultimately, "Perfect Rigor" is considered by many to be a worthwhile and important read, largely because it offers the most comprehensive available account of a truly enigmatic figure. Despite the noted flaws in presentation or interpretation, the compelling underlying story of Perelman's genius, his groundbreaking mathematical contributions, and his principled rejections of fame and fortune shines through. This book would particularly appeal to readers interested in the lives of extraordinary individuals, the history and culture of mathematics (especially in Soviet Russia), and the complex interplay between genius, personal integrity, and societal expectations. It is recommended for those who appreciate a "humanist" perspective on scientific endeavors and are willing to engage with a narrative that sparks debate and encourages reflection on its subject.
