As to the need of improvement there can be no question…
““As to the need of improvement there can be no question whilst the reign of Euclid continues. My own idea of a useful course is to begin with arithmetic, and then not Euclid but algebra. Next, not Euclid , but practical geometry, solid as well as plane; not demonstration, but to make acquaintance. Then not Euclid , but elementary vectors, conjoined with algebra, and applied to geometry. Addition first; then the scalar product. Elementary calculus should go on simultaneously, and come into vector algebraic geometry after a bit. Euclid might be an extra course for learned men, like Homer ...””
About This Quote
This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.
Heaviside argues that traditional Euclidean geometry should be replaced by a curriculum focused on arithmetic, algebra, practical geometry, vectors, and calculus to better serve modern scientific needs.
In simple terms: Replace old geometry with modern math topics.
Key Takeaway
Adopt a modern, applied math curriculum.
Themes
education
mathematics
curriculum design
modernization
practicality
Mood
thoughtful
analytical
Type
educational
philosophical
When to use this quote
- engineering training
- physics education
- technical schools
- self‑study
- curriculum reform
Key Concepts
vector algebra
applied geometry
calculus integration
pedagogy
Questions to Reflect On
- How can we balance foundational theory with practical applications?
- What modern topics should complement, not replace, Euclid?
A Different Perspective
Euclidean geometry still underpins many foundational concepts and cannot be entirely discarded.