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French mathematician Joseph Fourier's Théorie Analytique de la Chaleur was originally published in 1822. In this groundbreaking study, arguing that previous theories of mechanics advanced by such outstanding scientists as Archimedes, Galileo, Newton and their successors did not explain the laws of heat, Fourier set out to study the mathematical laws governing heat diffusion and proposed that an infinite mathematical series may be used to analyse the conduction of heat in solids: this is now known as the 'Fourier Series'. His work paved the way for modern mathematical physics. This book will be especially useful for mathematicians who are interested in trigonometric series and their applications, and it is reissued simultaneously with Alexander Freeman's English translation, The Analytical Theory of Heat, of 1878.
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First published in 1878, The Analytical Theory of Heat is Alexander Freeman's English translation of French mathematician Joseph Fourier's Théorie Analytique de la Chaleur, originally published in French in 1822. In this groundbreaking study, arguing that previous theories of mechanics advanced by such scientific greats as Archimedes, Galileo, Newton and their successors did not explain the laws of heat, Fourier set out to study the mathematical laws governing heat diffusion and proposed that an infinite mathematical series may be used to analyse the conduction of heat in solids. Known in scientific circles as the 'Fourier Series', this work paved the way for modern mathematical physics. This translation, now reissued, contains footnotes that cross-reference other writings by Fourier and his contemporaries, along with 20 figures and an extensive bibliography. This book will be especially useful for mathematicians who are interested in trigonometric series and their applications.
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Best known for his theory of electromagnetism, James Clerk Maxwell (1831-79) was Cambridge University's first Cavendish Professor of Experimental Physics. Albert Einstein described his work as 'the most profound and the most fruitful that physics has experienced since the time of Newton'. He carried out brilliant work in thermodynamics and statistical mechanics, laying the foundation for the kinetic theory of gases. This book, published originally in 1871, summarises his work in this field. It includes the 'Maxwell relations' that still feature in every standard text on thermodynamics. It also outlines his famous thought experiment, later named Maxwell's 'demon'. This idea, which appeared to contradict the second law of thermodynamics, would inspire scientific debate well into the twentieth century. More recently, it has sparked developments in the new sciences of nanotechnology and quantum computing.
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