How We Got from There to Here: A Story of Real Analysis by Robert Rogers and Eugene Boman is a fascinating and engaging book that takes readers on a journey through the history of real analysis. The book is perfect for anyone who is interested in mathematics, particularly those who want to learn more about the development of this important field.
The book begins by introducing readers to the basic concepts of real analysis, such as limits, continuity, and differentiability. The authors then take readers on a journey through history, exploring how these concepts were developed and refined over time. They examine the contributions of famous mathematicians such as Archimedes, Newton, Leibniz, Cauchy, and Weierstrass, among others.
The authors do an excellent job of making the complex ideas of real analysis accessible to readers of all levels. They use clear, concise language and provide numerous examples and illustrations to help readers understand the concepts being discussed. The authors also include interesting anecdotes and historical context, which adds to the overall readability of the book.
One of the unique features of this book is that it not only covers the history of real analysis but also provides readers with a glimpse into the future of this field. The authors discuss modern developments in real analysis, such as fractals, chaos theory, and topology, and how these ideas are being used to solve important problems in mathematics and other fields.
In addition to its engaging content, the book is also beautifully designed. The layout is clean and easy to read, and the illustrations and diagrams are well-placed and informative. The book also includes exercises and problems at the end of each chapter, which are a great way for readers to test their understanding of the material.
Overall, How We Got from There to Here: A Story of Real Analysis is an excellent book that is sure to appeal to anyone interested in mathematics or the history of science. The authors’ engaging writing style, combined with their deep knowledge of the subject, makes this book a must-read for anyone looking to learn more about real analysis and its importance in the development of modern mathematics.