Final Proof

Twelve mysteries, dozens of clues, and two detectives matching wits Detective Jack Barnes is good at his job—no nonsense and thorough, his dogged nature makes him the best at what he does. Mr. Robert Leroy Mitchel is entirely different: a gentleman and an amateur sleuth, Mitchel is confident in his ability to find answers where the professionals cannot. But by choice or circumstance the two are thrown together in pursuit of the truth. Sometimes partners, often competitors, these dueling detectives tackle a slew of unsolvable cases in Gilded Age New York: a body washed up in the river after its cremation, the disappearance of a priceless emerald that leaves a trail of death in its wake, and an IOU demanding a man's life, to name a few. A long-neglected master of detective stories, Rodrigues Ottolengui was a gifted dentist and lover of mysteries whose work established forensic dentistry as a science and emphasized the value of evidence. Through crisp prose, captivating plot twists, and charming characters, Ottolengui's collection of stories delves into the bizarre—sometimes dangerous, sometimes ridiculous—side of human nature.

This work contains thrilling detective stories. It revolves around two men, Mr. Barnes and Robert Leroy Mitchel, trying to solve challenging mysteries. Filled with intrigues, thefts, and unexpected twists, this is a must-read mystery book of interconnected stories.

This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.