Hermann von Helmholtz was a leading figure of nineteenth-century European intellectual life, remarkable even among the many scientists of the period for the range and depth of his interests. A pioneer of physiology and physics, he was also deeply concerned with the implications of science for philosophy and culture. From the 1850s to the 1890s, Helmholtz delivered more than two dozen popular lectures, seeking to educate the public and to enlighten the leaders of European society and governments about the potential benefits of science and technology to a developing modern society. David Cahan has selected fifteen of these lectures, which reflect the wide range of topics of crucial importance to Helmholtz and his audiences. Among the subjects discussed are the origins of the planetary system, the relation of natural science to science in general, the aims and progress of the physical sciences, the problems of perception, and academic freedom in German universities. This collection also includes Helmholtz's fascinating lectures on the relation of optics to painting and the physiological causes of harmony in music, which provide insight into the relations between science and aesthetics. Science and Culture makes available again Helmholtz's eloquent arguments on the usefulness, benefits, and, intellectual pleasures of understanding the natural world. With Cahan's Introduction to set these essays in their broader context, this collection makes an important contribution to the philosophical and intellectual history of Europe at a time when science played an increasingly significant role in social, economic, and cultural life.
This book covers all aspects of supercharging internal combustion engines. It details charging systems and components, the theoretical basic relations between engines and charging systems, as well as layout and evaluation criteria for best interaction. Coverage also describes recent experiences in design and development of supercharging systems, improved graphical presentations, and most advanced calculation and simulation tools.
This book offers an elementary, self-contained approach to the mathematical theory of viscous, incompressible fluid in a domain of the Euclidian space, described by the equations of Navier-Stokes. It is the first to provide a systematic treatment of the subject. It is designed for students familiar with basic tools in Hilbert and Banach spaces, but fundamental properties of, for example, Sobolev spaces, are collected in the first two chapters.
Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations—as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.
Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.
When mathematician Hermann Weyl decided to write a book on philosophy, he faced what he referred to as "conflicts of conscience"--the objective nature of science, he felt, did not mesh easily with the incredulous, uncertain nature of philosophy. Yet the two disciplines were already intertwined. In Philosophy of Mathematics and Natural Science, Weyl examines how advances in philosophy were led by scientific discoveries--the more humankind understood about the physical world, the more curious we became. The book is divided into two parts, one on mathematics and the other on the physical sciences. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, Weyl provides readers with a guide to understanding science through the lens of philosophy. This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.
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