Hermann von Helmholtz was a towering figure of nineteenth-century scientific and intellectual life. Best known for his achievements in physiology and physics, he also contributed to other disciplines such as ophthalmology, psychology, mathematics, chemical thermodynamics, and meteorology. With Helmholtz: A Life in Science, David Cahan has written a definitive biography, one that brings to light the dynamic relationship between Helmholtz’s private life, his professional pursuits, and the larger world in which he lived. ? Utilizing all of Helmholtz’s scientific and philosophical writings, as well as previously unknown letters, this book reveals the forces that drove his life—a passion to unite the sciences, vigilant attention to the sources and methods of knowledge, and a deep appreciation of the ways in which the arts and sciences could benefit each other. By placing the overall structure and development of his scientific work and philosophy within the greater context of nineteenth-century Germany, Helmholtz also serves as cultural biography of the construction of the scientific community: its laboratories, institutes, journals, disciplinary organizations, and national and international meetings. Helmholtz’s life is a shining example of what can happen when the sciences and the humanities become interwoven in the life of one highly motivated, energetic, and gifted person.

Hermann von Helmholtz (1821-1894) was a polymath of dazzling intellectual range and energy. Renowned for his co-discovery of the second law of thermodynamics and his invention of the ophthalmoscope, Helmholtz also made many other contributions to physiology, physical theory, philosophy of science and mathematics, and aesthetic thought. During the late nineteenth century, Helmholtz was revered as a scientist-sage—much like Albert Einstein in this century. David Cahan has assembled an outstanding group of European and North American historians of science and philosophy for this intellectual biography of Helmholtz, the first ever to critically assess both his published and unpublished writings. It represents a significant contribution not only to Helmholtz scholarship but also to the history of nineteenth-century science and philosophy in general.

This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. The Only book that provides comprehensive coverage of this topic in one location Presents a review of the basic theory of expansions of the Helmholtz equation solutions Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation

An examination of the sources Helmholtz drew upon for his formulation of the conservation of energy and the impact of his work on nineteenth-century physics. In 1847, Herman Helmholtz, arguably the most important German physicist of the nineteenth century, published his formulation of what became known as the conservation of energy--unarguably the most important single development in physics of that century, transforming what had been a conglomeration of separate topics into a coherent field unified by the concept of energy. In Helmholtz and the Conservation of Energy, Kenneth Caneva offers a detailed account of Helmholtz's work on the subject, the sources that he drew upon, the varying responses to his work from scientists of the era, and the impact on physics as a discipline. Caneva describes the set of abiding concerns that prompted Helmholtz's work, including his rejection of the idea of a work-performing vital force, and investigates Helmholtz's relationship to both an older generation of physicists and an emerging community of reformist physiologists. He analyzes Helmholtz's indebtedness to Johannes Müller and Justus Liebig and discusses Helmholtz's tense and ambivalent relationship to the work of Robert Mayer, who had earlier proposed the uncreatability, indestructibility, and transformability of "force." Caneva examines Helmholtz's continued engagement with the subject, his role in the acceptance of the conservation of energy as the central principle of physics, and the eventual incorporation of the principle in textbooks as established science.

On January 5, 1845, the Prussian cultural minister received a request by a group of six young men to form a new Physical Society in Berlin. In fields from thermodynamics, mechanics, and electromagnetism to animal electricity, ophthalmology, and psychophysics, members of this small but growing group—which soon included Emil Du Bois-Reymond, Ernst Brücke, Werner Siemens, and Hermann von Helmholtz—established leading positions in what only thirty years later had become a new landscape of natural science. How was this possible? How could a bunch of twenty-somethings succeed in seizing the future? In Aesthetics, Industry, and Science M. Norton Wise answers these questions not simply from a technical perspective of theories and practices but with a broader cultural view of what was happening in Berlin at the time. He emphasizes in particular how rapid industrial development, military modernization, and the neoclassical aesthetics of contemporary art informed the ways in which these young men thought. Wise argues that aesthetic sensibility and material aspiration in this period were intimately linked, and he uses these two themes for a final reappraisal of Helmholtz’s early work. Anyone interested in modern German cultural history, or the history of nineteenth-century German science, will be drawn to this landmark book.