CONTENTS

1) INTRODUCTION

2) HISTORY

3) CONTRIBUTION TO MATHEMATICS

4) CONTRIBUTION TO OTHER FIELDS

5) CONCLUSION

                    INTRODUCTION

Amalie Emmy Noether  was a German mathematician who made many important contributions to abstract algebra. She discovered Noether's theorem, which is fundamental in mathematical physics. She was described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl and Norbert Wiener as the most important woman in the history of mathematics. As one of the leading mathematicians of her time, she developed some theories of rings, fields, and algebras

                      HISTORY

Emmy Noether was born in Erlangen, Germany on March 23, 1882. She was named Amalie, but always called "Emmy". She was the eldest of four children, but one of only two that survived childhood. 

Her father was Max Noether, a noted mathematician of his time. Her mother was Ida Amalie, for whom Emmy was named.

As a child, Emmy Noether did not concentrate on mathematics. She spent her time in school studying languages, with a concentration on French and English. Her mother taught her the traditional skills of a young woman of that time. She learned to cook, clean, and play the clavier. At the time of her graduation from high school, she passed a test that allowed her to teach both French and English at schools for young women.

 At the age of 18, Emmy Noether decided to take classes in mathematics at the University of Erlangen. After five more years of study, she was granted the second degree to a woman in the field of mathematics.  For ten years Emmy worked with her father.  In 1933 she opted to move to the United States, where Bryn Mawr College offered her a position teaching. Emmy Noether taught at Bryn Mawr College until her death in 1935.

     CONTRIBUTION TO THE FIELD OF MATHEMATICS

Emmy Noether's mathematical work has been divided into three "epochs". In the first (1908–1919), she made contributions to the theories of algebraic invariants and number fields. 

Emmy Neother's work on differential invariants in the calculus of variations, Noether's theorem, has been called "one of the most important mathematical theorems ever proved in guiding the development of modern physics". In the second epoch (1920–1926), she began work that "changed the face of [abstract] algebra". In her classic 1921 paper Ideal theory in Ringbereichen (Theory of Ideals in Ring Domains), Noether developed the theory of ideals in commutative rings into a tool with wide-ranging applications.