Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text.
For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder’s proof of the Mason-Stothers polynomial abc theorem.
About the First Edition:
The exposition is down-to-earth and at the same time very smooth. The book can be covered easily in a one-year course and can be also used in a one-term course...the flavor of modern mathematics is sprinkled here and there.
- Hideyuki Matsumura, Zentralblatt
"synopsis" may belong to another edition of this title.
From the reviews of the third edition:
"As is very typical for Professor Lang’s self demand and style of publishing, he has tried to both improve and up-date his already well-established text. ... Numerous examples and exercises accompany this now already classic primer of modern algebra, which as usual, reflects the author’s great individuality just as much as his unrivalled didactic mastery and his care for profound mathematical education at any level. ... The present textbook ... will remain one of the great standard introductions to the subject for beginners." (Werner Kleinert, Zentralblatt MATH, Vol. 1063, 2005)
"About this title" may belong to another edition of this title.
Book Description Paperback. Book Condition: New. Softcover Book, New Condition, Fast Shipping. Ready in Stock. 2nd Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 388 pages, Book Cover And ISBN No May Be Different From US Edition. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Standard Shipping 7-14 Business Days. Expedited Shiping 4-8 Business Days. ***WE DO NOT ENTERTAIN BULK ORDERS.*** The Books May Be Ship From Overseas For Inventory Purpose. Bookseller Inventory # 297496
Book Description Paperback. Book Condition: New. New, Softcover International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Bookseller Inventory # 3935
Book Description Springer. Hardcover. Book Condition: New. 038797279X New Condition. Bookseller Inventory # NEW7.1815961
Book Description Springer, 2001. Hardcover. Book Condition: New. Never used!. Bookseller Inventory # P11038797279X
Book Description Springer, 2001. Hardcover. Book Condition: New. Brand New!. Bookseller Inventory # VIB038797279X