The Austrian scientist Ernst Mach (1838 1916) carried out work of importance in many fields of enquiry, including physics, physiology, psychology and philosophy. Many significant thinkers, such as Ludwig Wittgenstein and Bertrand Russell, benefited from engaging with his ideas. Mach delivered the twelve lectures collected here between 1864 and 1894. This English translation by Thomas J. McCormack (1865 1932) appeared in 1895. Mach tackles a range of topics in an engaging style, demonstrating his abilities as both a researcher and a communicator. In the realm of the physical sciences, he discusses electrostatics, the conservation of energy, and the speed of light. He also addresses physiological matters, seeking to explain aspects of the hearing system and why humans have two eyes. In the final four lectures, he deals with the nature of scientific study. The Science of Mechanics (1893), Mach's historical and philosophical account, is also reissued in this series."

The Austrian scientist Ernst Mach (1838 1916) carried out work of importance in many fields of enquiry, including physics, physiology, psychology and philosophy. Published in this English translation of 1906, these essays examine geometry from three different perspectives. Mach argues that, as our ideas about space are created by the senses and how we experience our environment, researchers must not consider the subject from a mathematical standpoint alone. In the first essay, he explains how humans generate spatial concepts. Next, he discusses the psychology of geometry, its empirical origins, and its development. In the final piece, he writes from the viewpoint of a physicist, outlining how various mathematicians, such as Carl Friedrich Gauss and Bernhard Riemann, have contributed to our geometrical understanding. Also reissued in this series in English translation are Mach's The Science of Mechanics (1893) and Popular Scientific Lectures (1895)."

Ernst Mach (1838-1916), the first scientist to study objects moving faster than the speed of sound, propounded a scientific philosophy which called for a strict adherence to observable data. He maintained that the sole purpose of scientific study is to provide the simplest possible description of detectable phenomena. In this work, first published in German in 1883 and here translated in 1893 by Thomas J. McCormack (1865-1932) from the 1888 second edition, Mach begins with a historical discussion of mechanical principles. He then proceeds to a critique of Newton's concept of 'absolute' space and time, reflecting Mach's rejection of theoretical concepts in the absence of definitive evidence. Although historically controversial, Mach's ideas and attitudes informed philosophers as influential as Russell and Wittgenstein, and his insistence upon a 'relative' idea of space and time provided much of the philosophical basis for Einstein's theory of general relativity decades later.

One of the eighteenth century's greatest mathematicians, Lagrange made significant contributions to all fields of analysis and number theory. He survived the French Revolution to deliver these lectures in 1795 at the Ecole Normale, a training school for teachers. An exemplar among elementary expositions, Lagrange's talks feature both originality of thought and elegance of expression.
The five lectures begin with discussions of arithmetic that focus on fractions and logarithms as well as theory and applications. Subsequent talks consider algebra, with emphasis on the resolution of equations of the third and fourth degree, the resolution of numerical equations, and the employment of curves in the solution of problems. Students, teachers, and others with an interest in mathematics will find this volume a unique reading book in mathematics, with fascinating historical and philosophical remarks by a distinguished mathematician.

This Is A New Release Of The Original 1898 Edition.

This Is A New Release Of The Original 1906 Edition.

This Is A New Release Of The Original 1906 Edition.

An Address Delivered At The Leyden Congress Of Zoologists, September 19, 1895.

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone