Banach spaces feature prominently in courses on functional analysis, including theoretical numerical analysis. Stefan Banach initially referred to these as "spaces of type B".
Functional analysis is basically the study of vector spaces and the operators that act upon them. The word "functional" originates from the calculus of variations, which deals in higher-order functions, or functions whose arguments are functions.
Here is a history on the related domain of Operator Theory.
The article makes mention of Oliver Heaviside's operational calculus of which a short summary can be found here. Oliver Heaviside was born in Camden Town, London in 1850 (near what is now Mornington Crescent) and worked in Newcastle as a telegraph operator. Interested in telegraphy, mathematics and electrical engineering, he quit his job and studied full-time from home. He invented transmission line theory and developed techniques equivalent to Laplace transforms for solving differential equations.
Heaviside read Maxwell's famous treatise on electricity and magnetism as a young man. He writes: "I saw that it was great, greater and greatest with prodigious possibilities in its power. I was determined to master the book and set to work...it took me several years to understand as much as I possibly could. Then I set Maxwell aside and followed my own course..I progressed much more quickly".
Oliver Heaviside was the first recipient of the Faraday Medal in 1922 awarded by the Institute of Engineering and Technology.
Functional analysis is basically the study of vector spaces and the operators that act upon them. The word "functional" originates from the calculus of variations, which deals in higher-order functions, or functions whose arguments are functions.
Here is a history on the related domain of Operator Theory.
The article makes mention of Oliver Heaviside's operational calculus of which a short summary can be found here. Oliver Heaviside was born in Camden Town, London in 1850 (near what is now Mornington Crescent) and worked in Newcastle as a telegraph operator. Interested in telegraphy, mathematics and electrical engineering, he quit his job and studied full-time from home. He invented transmission line theory and developed techniques equivalent to Laplace transforms for solving differential equations.
Heaviside read Maxwell's famous treatise on electricity and magnetism as a young man. He writes: "I saw that it was great, greater and greatest with prodigious possibilities in its power. I was determined to master the book and set to work...it took me several years to understand as much as I possibly could. Then I set Maxwell aside and followed my own course..I progressed much more quickly".
Oliver Heaviside was the first recipient of the Faraday Medal in 1922 awarded by the Institute of Engineering and Technology.
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