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Abstract Algebra with Applications
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Artikel-Nr:
9781107164079
Veröffentl:
2019
Einband:
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Erscheinungsdatum:
22.03.2019
Seiten:
332
Autor:
Audrey Terras
Gewicht:
823 g
Format:
260x183x22 mm
Sprache:
Englisch
Beschreibung:
Audrey Terras is a Professor Emeritus of Mathematics at the University of California San Diego. Awards include American Mathematical Society (AMS) Fellow, American Association for the Advancement of Science (AAAS) Fellow, and 2008 Noether lecturer of Association for Women in Mathematics (AWM). She has published four books and many research papers. Research interests include number theory, harmonic analysis on symmetric spaces and finite groups, algebraic graph theory, zeta functions of graphs, and Selberg's trace formula. When lecturing, she believes in giving examples, applications, and colorful pictures.
This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.
Part I. Groups: 1. Preliminaries; 2. Groups: a beginning; 3. Groups: there's more; 4. Applications and more examples of groups; Part II. Rings: 5. Rings: a beginning; 6. Rings: there's more; 7. Vector spaces and finite fields; 8. Applications of rings; Part III. Solutions to Some Problems: 9. Solution sketches for mostly odd-numbered exercises.