國立虎尾科技大學 |

Undergraduate Algebra = A Unified Approach /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Undergraduate Algebra/ by Matej Brešar.
其他題名:	A Unified Approach /
作者:	Brešar, Matej.
面頁冊數:	XXIV, 316 p. 17 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Associative rings. -
電子資源:	https://doi.org/10.1007/978-3-030-14053-3
ISBN:	9783030140533

Undergraduate Algebra = A Unified Approach /
Brešar, Matej.

Undergraduate AlgebraA Unified Approach /[electronic resource] :by Matej Brešar. - 1st ed. 2019. - XXIV, 316 p. 17 illus.online resource. - Springer Undergraduate Mathematics Series,1615-2085. - Springer Undergraduate Mathematics Series,.

Preface -- 1 Glossary of Basic Algebraic Structures -- 2 Examples of Groups and Rings -- 3 Homomorphisms -- 4 Quotient Structures -- 5 Commutative Rings -- 6 Finite Groups -- 7 Field Extensions -- Frequently Used Symbols -- Index. .

This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal integral domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.

ISBN: 9783030140533

Standard No.: 10.1007/978-3-030-14053-3doiSubjects--Topical Terms:

893564
Associative rings.

LC Class. No.: QA251.5

Dewey Class. No.: 512.46

Undergraduate Algebra = A Unified Approach /
LDR:02426nam a22003975i 4500 001 1006469
003 DE-He213
005 20200701050417.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030140533 $9 978-3-030-14053-3
024 7 $a 10.1007/978-3-030-14053-3 $2 doi
035 $a 978-3-030-14053-3
050 4 $a QA251.5
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.46 $2 23
100 1 $a Brešar, Matej. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1300031
245 1 0 $a Undergraduate Algebra $h [electronic resource] : $b A Unified Approach / $c by Matej Brešar.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XXIV, 316 p. 17 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Undergraduate Mathematics Series, $x 1615-2085
505 0 $a Preface -- 1 Glossary of Basic Algebraic Structures -- 2 Examples of Groups and Rings -- 3 Homomorphisms -- 4 Quotient Structures -- 5 Commutative Rings -- 6 Finite Groups -- 7 Field Extensions -- Frequently Used Symbols -- Index. .
520 $a This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal integral domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.
650 0 $a Associative rings. $3 893564
650 0 $a Rings (Algebra). $3 685051
650 0 $a Commutative algebra. $3 672047
650 0 $a Commutative rings. $3 672474
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Field theory (Physics). $3 685987
650 0 $a Group theory. $3 527791
650 0 $a Algebras, Linear. $3 528115
650 1 4 $a Associative Rings and Algebras. $3 672306
650 2 4 $a Commutative Rings and Algebras. $3 672054
650 2 4 $a Field Theory and Polynomials. $3 672025
650 2 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Linear Algebra. $3 1207620
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030140526
776 0 8 $i Printed edition: $z 9783030140540
830 0 $a Springer Undergraduate Mathematics Series, $x 1615-2085 $3 1255356
856 4 0 $u https://doi.org/10.1007/978-3-030-14053-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)