Most "art and science" books focus on the science of perspective or the psychology of perception. Hidden Harmony does not. Instead, the book addresses the surprising common ground between physics and art from a novel and personal perspective. Viewing the two disciplines as creative processes, J.R. Leibowitz supplements existing and original research with illustrations to demonstrate that physics and art share guiding aesthetics and compositional demands and to show how each speaks meaningfully to the other. Hidden Harmony is the first serious look at what art and physics, as creative processes, have in common. Without assuming a background either in art or physics, the author widens our experience and understanding of both domains by exploring how concepts such as balance and re-balance, coherence and unity, and symmetry and broken symmetry affect and are affected by artistic vision and scientific principle. He reveals shared themes and understandings in each field and adroitly illustrates the parallels between the strategies guiding the dabs of color and layers of images in a work of art and those guiding the assembly of physical evidence into models of the physical world. Featuring examples of paintings and sculptures and complementary examples of physical concepts, this contemplative work helps us see art and physics as artists and physicists do.

​This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject – Cauchy, Riemann, and Weierstrass – it looks at the contributions of authors from d’Alembert to Hilbert, and Laplace to Weyl. Particular chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been devoted to the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. The book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main actors lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. The book is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It documents the motivations for the early ideas and their gradual refinement into a rigorous theory.​

Harmony of the Spirits: Translation and the Language of Community in Early Pennsylvania