John C. Taylor Knihy

Exploring the concept of 'hidden unities' in nature, this book provides a comprehensive and insightful examination of how our perception of the world has evolved over time. It delves into the interconnectedness of various elements in the natural world, revealing the underlying principles that unify seemingly disparate phenomena. Through this exploration, readers gain a deeper appreciation for the complexities of nature and the intellectual journey that has shaped our current understanding.

Assuming only calculus and linear algebra, Professor Taylor introduces readers to measure theory and probability, discrete martingales, and weak convergence. This is a technically complete, self-contained and rigorous approach that helps the reader to develop basic skills in analysis and probability. Students of pure mathematics and statistics can thus expect to acquire a sound introduction to basic measure theory and probability, while readers with a background in finance, business, or engineering will gain a technical understanding of discrete martingales in the equivalent of one semester. J. C. Taylor is the author of numerous articles on potential theory, both probabilistic and analytic, and is particularly interested in the potential theory of symmetric spaces.

The book is a facsimile reprint of an original antiquarian work, preserving its historical significance. While it may exhibit imperfections due to its age, such as marks and flawed pages, the reprint aims to maintain the authenticity of the original text. This initiative reflects a commitment to protecting and promoting important literary works, making them accessible in high-quality modern editions.