Edmund T. Whittaker

Edmund Taylor Whittaker (1873-1956) was a British mathematician and historian of science who made significant contributions to applied mathematics, mathematical physics, and numerical analysis. Whittaker developed several fundamental mathematical methods, including the Whittaker function and the Whittaker-Shannon interpolation formula. His work on analytical dynamics and wave functions proved influential in quantum mechanics, while his research on special functions remains relevant in modern physics and engineering. As a historian of science, he authored "A History of the Theories of Aether and Electricity," a comprehensive work documenting the development of physics from Descartes to the early 20th century. At the University of Edinburgh, where he served as professor from 1912 to 1946, he established a renowned mathematical laboratory and influenced numerous prominent mathematicians. Among his most enduring contributions is "A Course of Modern Analysis" (co-authored with G. N. Watson), which became a standard reference work in mathematical analysis and is still in use today. Whittaker was elected Fellow of the Royal Society in 1905 and received the Society's Sylvester Medal in 1931 for his mathematical work.

Readers value Whittaker's clear explanations of complex mathematical concepts, particularly in "A Course of Modern Analysis." Math students and professionals cite its comprehensive coverage of special functions and practical applications. Likes: - Detailed historical context in "A History of the Theories of Aether and Electricity" - Systematic presentation of mathematical methods - Thorough problem sets and examples - Precise mathematical notation Dislikes: - Dense writing style requires significant mathematical background - Dated terminology in older editions - Limited coverage of modern developments post-1940s - Some readers find the historical sections overly detailed Ratings: Goodreads: - "A Course of Modern Analysis": 4.3/5 (47 ratings) - "A History of the Theories of Aether and Electricity": 4.1/5 (12 ratings) Amazon: - "A Course of Modern Analysis": 4.5/5 (15 reviews) Reviewers frequently mention its value as a reference text, though note it's not suitable for beginners.

A Course of Modern Analysis (1902) - A comprehensive textbook covering complex analysis, differential equations, and special functions that became a fundamental reference work in mathematical analysis.

A History of the Theories of Aether and Electricity (1910) - A detailed historical account of physics development from Descartes through early 20th century theories.

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (1904) - A systematic presentation of classical mechanics focusing on mathematical methods and theoretical principles.

The Theory of Optical Instruments (1907) - A mathematical treatment of optical systems and instruments using principles of geometrical optics.

The Calculus of Observations (1924) - A practical guide to numerical methods and computational techniques in mathematics.

From Euclid to Eddington (1949) - A study of the changing concepts in the mathematical principles of natural philosophy through history.

The Beginning and End of the World (1942) - An examination of cosmological theories and their philosophical implications based on Gifford Lectures.

G. N. Watson co-authored "A Course of Modern Analysis" with Whittaker and made contributions to mathematical analysis and special functions. His work on Bessel functions and asymptotic expansions complemented Whittaker's research in applied mathematics and mathematical physics.

George Green developed mathematical theories for electricity and magnetism that influenced the field of mathematical physics. His work on potential theory and integral theorems formed foundations that Whittaker built upon in his research on wave functions and analytical dynamics.

William Thomson (Lord Kelvin) made fundamental contributions to mathematical physics and thermodynamics in the 19th century. His work on wave theory and electromagnetic theory connects directly to topics Whittaker explored in his history of aether and electricity.

Joseph Fourier developed the mathematical theory of heat conduction and introduced Fourier series for analyzing periodic functions. His methods of mathematical analysis influenced the special functions and analytical techniques that Whittaker studied and advanced.

Carl Friedrich Gauss established foundational work in differential geometry and complex analysis that Whittaker utilized in his research. His contributions to numerical analysis and least squares methods relate to Whittaker's work on interpolation and numerical computation.