Doing Mathematics: Convention, Subject, Calculation, Analogy

In this insightful exploration of the mathematical realm, Martin H. Krieger delves into the intricate processes by which mathematicians and mathematical physicists engage with their craft. He presents a thoughtful examination of the conventions and subject matters that shape the discipline, alongside the calculation strategies and analogical reasoning that underpin their problem-solving approaches. This work illuminates the often-overlooked aspects of doing mathematics, emphasizing the interplay between theory and practice.

Krieger’s engaging narrative serves both as a guide for aspiring mathematicians and a reflective piece for seasoned professionals. By unraveling the complex threads of mathematical thought, he encourages readers to appreciate the beauty and depth of mathematical inquiry. This second edition not only reinforces fundamental concepts but also incorporates updated perspectives, making it a relevant and valuable resource for anyone interested in the workings of mathematics. Through his meticulous research, Krieger highlights the dynamic and creative nature of this fascinating discipline.