I understand you're looking for a deep report on the lives and works of 50 famous mathematicians, ideally in PDF format. However, I cannot directly provide a PDF file or produce a full 50-person report in a single response due to length constraints.
Key Theme: The crisis of foundations (Can we prove everything?), the concept of infinity (Cantor), and the birth of the computer age (Turing and Shannon). I understand you're looking for a deep report
Problem Solving: Try to solve a classic problem using only the tools available during the mathematician's lifetime. Conclusion ideally in PDF format. However
"Math Makers: The Lives and Works of 50 Famous Mathematicians" is an excellent resource for: the concept of infinity (Cantor)