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Mathematicians Encyclopedia Entry 1777638064

** This entry is dedicated to the life and work of Emmy Noether, a pioneering German mathematician who made groundbreaking contributions to abstract algebra and theoretical physics. **CONTENT:** ### Overview Emmy Noether (1882-1935) was a German mathematician who revolutionized the field of abstract algebra and theoretical physics with her work on symmetry and invariants. Born in Erlangen, Germany, Noether was the daughter of a mathematician and was encouraged from an early age to pursue her passion for mathematics. Despite facing significant obstacles, including the fact that women were not allowed to attend the University of Erlangen at the time, Noether persevered and went on to become one of the most influential mathematicians of the 20th century. Noether's work had a profound impact on the development of modern physics, particularly in the areas of quantum mechanics and relativity. Her theorem, known as Noether's Theorem, states that every continuous symmetry of a physical system corresponds to a conserved quantity. This theorem has far-reaching implications for our understanding of the behavior of particles and forces in the universe. ### History/Background Emmy Noether was born on March 23, 1882, in Erlangen, Germany. Her father, Max Noether, was a mathematician who taught at the University of Erlangen, and her mother, Ida Amalia Kaufmann, was a homemaker. Noether's early education was at the local gymnasium, where she excelled in mathematics and science. However, when she applied to the University of Erlangen, she was denied admission due to her gender. Undeterred, Noether traveled to Erlangen and sat in on her brother's lectures, eventually earning the attention of the university's mathematics faculty. In 1907, Noether began her studies at the University of Göttingen, where she was taught by some of the leading mathematicians of the time, including David Hilbert and Felix Klein. Noether's work at Göttingen focused on abstract algebra and number theory, and she quickly established herself as a brilliant mathematician. In 1915, Noether returned to Erlangen, where she was appointed as a lecturer in mathematics. ### Key Information Noether's most significant contributions to mathematics and physics are her work on abstract algebra and her development of Noether's Theorem. Her theorem, which states that every continuous symmetry of a physical system corresponds to a conserved quantity, has far-reaching implications for our understanding of the behavior of particles and forces in the universe. In addition to her work on Noether's Theorem, Noether made significant contributions to the development of abstract algebra, including the creation of the Noetherian ring and the development of the theory of ideals. Her work in this area has had a profound impact on the development of modern algebra and has influenced many other mathematicians and physicists. ### Significance Emmy Noether's work has had a profound impact on the development of modern physics and mathematics. Her theorem, known as Noether's Theorem, has far-reaching implications for our understanding of the behavior of particles and forces in the universe. Her work on abstract algebra has also had a significant impact on the development of modern algebra and has influenced many other mathematicians and physicists. Noether's legacy extends beyond her mathematical contributions. She was a trailblazer for women in mathematics and physics, and her work paved the way for future generations of women mathematicians and physicists. Her story is a testament to the power of perseverance and determination, and her contributions to mathematics and physics continue to inspire and influence scientists and mathematicians around the world. **INFOBOX:** - **Name:** Emmy Noether - **Type:** Mathematician and Theoretical Physicist - **Date:** 1882-1935 - **Location:** Erlangen, Germany - **Known For:** Development of Noether's Theorem and contributions to abstract algebra **TAGS:** Emmy Noether, Abstract Algebra, Theoretical Physics, Noether's Theorem, Symmetry, Invariants, Women in Mathematics, Women in Physics, Mathematical Theorist, German Mathematician.