Undergraduate Algebra

<strong>Undergraduate Algebra</strong> is a text for the standard undergraduate algebra course.It concentrates on the basic structures and results of algebra di... » 

Undergraduate Algebra is a text for the standard undergraduate algebra course.It concentrates on the basic structures and results of algebra discussinggroups rings modules fields polynomials finite fields Galois Theory andother topics. The author has also included a chapter on groups of matriceswhich is unique in a book at this level. Throughout the book the authorstrikes a balance between abstraction and concrete results which enhance eachother. Illustrative examples accompany the general theory. Numerous exercisesrange from the computational to the theoretical complementing results from themain text. For the third edition the author has included new material onproduct structure for matrices e.g. the Iwasawa and polar decompositions aswell as a description of the conjugation representation of the diagonal group.He has also added material on polynomials culminating in Noah Snyders proofof the MasonStothers polynomial abc theorem. About the First Edition Theexposition is downtoearth and at the same time very smooth. The book can becovered easily in a oneyear course and can be also used in a onetermcourse...the flavor of modern mathematics is sprinkled here and there.Hideyuki Matsumura Zentralblatt TOCForeword. The Integers. Groups. Rings.Polynomials. Vector Spaces and Modules. Some Linear Groups. Field Theory.Finite Fields. The Real and Complex Numbers. Sets. Appendix. Index. «