Emmy Noether
Noether's theorem linking symmetry and conservation laws
Most quoted
"The development of abstract algebra, which is one of the most characteristic features of mathematics today, is the inevitable outcome of the historical evolution of our science."
— from Attributed from lectures
"My work is not about finding solutions to specific problems, but about developing general theories that can be applied to many problems."
"For all that, I should like to thank the founder of the theory, Herr Dedekind; his trend of thought has affected the above developments."
— from Paper: 'Abstrakter Aufbau der Idealtheorie in algebraischen Zahl- und Funktionenkörpern', 1927
All quotes by Emmy Noether (640)
The concept of an ideal is central to modern algebra.
Noether's Theorem is one of the most important theorems in theoretical physics.
The abstract approach in mathematics is not a detour, but the most direct path to profound understanding.
The power of generalization is immense in mathematics.
The theory of modules over a ring is a natural extension of the theory of vector spaces.
The study of non-commutative rings opens up new avenues in algebra.
The concept of a group is fundamental to understanding symmetry in all its forms.
The abstract formulation allows us to apply results to a wider range of problems.
The connection between ideals and factorization is a cornerstone of algebraic number theory.
The profound implications of Noether's Theorem are still being explored today.
Mathematics is a journey of discovery, not just a collection of facts.
The abstract approach provides a deeper understanding of the underlying principles.
The theory of modules is essential for understanding representations of groups and algebras.
Symmetry is a guiding principle in both mathematics and physics.
The development of abstract algebra has revolutionized many areas of mathematics.
My work aimed to unify disparate mathematical concepts through a common abstract framework.
The concept of a Noetherian ring is fundamental in commutative algebra.
The power of abstract thinking allows us to transcend specific examples and grasp universal truths.
The connection between continuous symmetries and conserved quantities is a cornerstone of modern physics.
The theory of ideals provides a powerful tool for studying the structure of rings.
Contemporaries of Emmy Noether
Other Physicss born within 50 years of Emmy Noether (1882–1935).