Holdings: A concrete introduction to higher algebra

A concrete introduction to higher algebra:

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Bibliographic Details
Main Author:	Childs, Lindsay 1940- (Author)
Format:	Book
Language:	German
Published:	New York, NY Springer 2009
Edition:	Third edition
Series:	Undergraduate texts in mathematics
Subjects:	Algebra Lehrbuch
Online Access:	Inhaltsverzeichnis
Physical Description:	xiv, 603 Seiten Illustrationen
ISBN:	9780387745275

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MARC


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Record in the Search Index

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adam_text	Contents Parti Numbers 1 Numbers ...................................................... 3 2 Induction ..................................................... 9 3 Euclid s Algorithm ............................................. 27 4 Unique Factorization ........................................... 53 5 Congruence ................................................... 71 Part II Congruence classes and rings 6 Congruence Classes ............................................ 93 7 Rings and Fields ...............................................123 8 Matrices and Codes ............................................147 Part III Congruences and Groups 9 Fermat s and Euler s Theorems ..................................171 10 Applications of Euler s Theorem .................................201 11 Groups .......................................................223 12 The Chinese Remainder Theorem ................................253 PartrV Polynomials 13 Polynomials ...................................................285 14 Unique Factorization ...........................................295 xiii xiv Contents 15 The Fundamental Theorem of Algebra...........................307 16 Polynomials in Q[x].............................................339 17 Congruences and the Chinese Remainder Theorem................355 18 Fast Polynomial Multiplication.................................. 373 Part V Primitive Roots 19 Cyclic Groups and Cryptography ................................387 20 Carmichael Numbers ...........................................413 21 Quadratic Reciprocity ..........................................433 22 Quadratic Applications .........................................459 Part VI Finite Fields 23 Congruence Classes Modulo a Polynomial ........................479 24 Homomorphisms and Finite Fields ...............................495 25 BCH Codes ....................................................511 Part VII Factoring Polynomials 26 Factoringin Ћ[х]............................................... 531 27 Irreducible Polynomials .........................................557 Answers and Hints to the Exercises ...................................569 References .........................................................595 Index .............................................................599
adam_txt	Contents Parti Numbers 1 Numbers . 3 2 Induction . 9 3 Euclid's Algorithm . 27 4 Unique Factorization . 53 5 Congruence . 71 Part II Congruence classes and rings 6 Congruence Classes . 93 7 Rings and Fields .123 8 Matrices and Codes .147 Part III Congruences and Groups 9 Fermat's and Euler's Theorems .171 10 Applications of Euler's Theorem .201 11 Groups .223 12 The Chinese Remainder Theorem .253 PartrV Polynomials 13 Polynomials .285 14 Unique Factorization .295 xiii xiv Contents 15 The Fundamental Theorem of Algebra.307 16 Polynomials in Q[x].339 17 Congruences and the Chinese Remainder Theorem.355 18 Fast Polynomial Multiplication. 373 Part V Primitive Roots 19 Cyclic Groups and Cryptography .387 20 Carmichael Numbers .413 21 Quadratic Reciprocity .433 22 Quadratic Applications .459 Part VI Finite Fields 23 Congruence Classes Modulo a Polynomial .479 24 Homomorphisms and Finite Fields .495 25 BCH Codes .511 Part VII Factoring Polynomials 26 Factoringin Ћ[х]. 531 27 Irreducible Polynomials .557 Answers and Hints to the Exercises .569 References .595 Index .599
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spelling	Childs, Lindsay 1940- (DE-588)1055770054 aut A concrete introduction to higher algebra Lindsay N. Childs Third edition New York, NY Springer 2009 xiv, 603 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Algebra Algebra (DE-588)4001156-2 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Algebra (DE-588)4001156-2 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016453864&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Childs, Lindsay 1940- A concrete introduction to higher algebra Algebra Algebra (DE-588)4001156-2 gnd
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title	A concrete introduction to higher algebra
title_auth	A concrete introduction to higher algebra
title_exact_search	A concrete introduction to higher algebra
title_exact_search_txtP	A concrete introduction to higher algebra
title_full	A concrete introduction to higher algebra Lindsay N. Childs
title_fullStr	A concrete introduction to higher algebra Lindsay N. Childs
title_full_unstemmed	A concrete introduction to higher algebra Lindsay N. Childs
title_short	A concrete introduction to higher algebra
title_sort	a concrete introduction to higher algebra
topic	Algebra Algebra (DE-588)4001156-2 gnd
topic_facet	Algebra Lehrbuch
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