Hidden Harmony—Geometric Fantasies

"There is much in this book that will educate, be appreciated by, and no doubt provoke mathematicians as well as historians of mathematics and of science. ... It stands its ground as a scholarly treatise that fills many lacunae in the extant historical literature. It will surely provoke further debate and research. As a bonus, it comes filled with treasures for both the specialist and the novice." (Tushar Das, MAA Reviews, July, 2015) "The book is devoted to the history of complex (analytic) function theory from its origins to 1914. ... The book is highly recommended for historians of mathematics, mathematicians with historical interests, and everyone who is interested in complex function theory and its history. It offers a wealth of information that is well documented." (Karl-Heinz Schlote, Mathematical Reviews, October, 2014) "This comprehensive, massively researched volume ... is a detailed historical account of the development of analytic function theory in the 19th century, tracing its rise and ramification through that period up until about 1910. ... It is a very dense and scholarly work, suitable for specialists. Summing Up: Recommended. Graduate students, researchers/faculty, and professionals/practitioners." (D. Robbins, Choice, Vol. 51 (9), May, 2014) "This book is the first one devoted to the history of complex function theory. The authors present the rise of analytic function theory from its origins to 1914. ... This book is of great interest and help, not only for mathematicians interested in complex function theory, but also for everyone who likes the history of mathematics." (Agnieszka Wisniowska-Wajnryb, zbMATH, Vol. 1276, 2014)

• List of Figures.- Introduction.- 1. Elliptic Functions.- 2. From real to complex.- 3. Cauch.- 4. Elliptic integrals.- 5. Riemann.- 6. Weierstrass.- 7. Differential equations.- 8. Advanced topics.- 9. Several variables.- 10. Textbooks.