Date of Award:
Master of Science (MS)
Mathematics and Statistics
David E. Brown
The goal of this thesis is to solve problems from the first four chapters of the book, titled A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions with an Account of the Principal Transcendental Functions by E.T. Whittaker and G.N. Watson. The titles of the first four chapters are “Complex Numbers,” “The Theory of Convergence,” “Continuous Functions and Uniform Convergence,” and “The Theory of Riemann Integration,” respectively. This book is a classic mathematical analysis textbook that contains some challenging end-of-chapter exercises and some details within each chapter are often left to the readers. Many exercises are results of famous mathematicians or problems from an older era of the Cambridge Mathematical Tripos. The purpose of this thesis is to provide solutions to the exercises in Chapters 1-4 and give insight to the readers of the book.
Lee, Ting-Yao, "Studies of Classical Analysis after Whittaker and Watson" (2021). All Graduate Theses and Dissertations. 8081.
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