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ISBN: 9781468400656
This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level cours… Altro …
ISBN: 9781468400656
A Concrete Introduction to Higher Algebra: ab 82.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer New York eBook als pdf, Springer New York
ISBN: 9781468400656
; EPUB; Scientific, Technical and Medical > Mathematics > Algebra, Headline
2012, ISBN: 9781468400656
eBooks, eBook Download (PDF), [PU: Springer New York], Springer New York, 2012
2012, ISBN: 9781468400656
eBook Download (PDF), eBooks, [PU: Springer New York]
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Informazioni dettagliate del libro - Concrete Introduction to Higher Algebra
EAN (ISBN-13): 9781468400656
Anno di pubblicazione: 2012
Editore: Springer New York
Libro nella banca dati dal 2016-04-13T18:14:23+02:00 (Zurich)
Pagina di dettaglio ultima modifica in 2022-12-07T21:04:25+01:00 (Zurich)
ISBN/EAN: 9781468400656
ISBN - Stili di scrittura alternativi:
978-1-4684-0065-6
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : childs lindsay
Titolo del libro: concrete introduction higher algebra
Dati dell'editore
Autore: Lindsay Childs
Titolo: Undergraduate Texts in Mathematics; A Concrete Introduction to Higher Algebra
Editore: Springer; Springer US
340 Pagine
Anno di pubblicazione: 2012-12-06
New York; NY; US
Lingua: Inglese
82,38 € (DE)
84,70 € (AT)
106,50 CHF (CH)
Available
XIV, 340 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; algebra; automorphism; binomial; field; matrices; matrix; polynomial; ring; B; Algebra; Mathematics and Statistics; BB
I INTEGERS.- 1 Numbers.- 2 Induction; the Binomial Theorem.- 3 Unique Factorization into Products of Primes.- 4 Primes.- 5 Bases.- 6 Congruences.- 7 Congruence Classes.- 8 Rings and Fields.- 9 Matrices and Vectors.- 10 Secret Codes, I.- 11 Fernjat’s Theorem, I: Abelian Groups.- 12 Repeating Decimals, I.- 13 Error Correcting Codes, I.- 14 The Chinese Remainder Theorem.- 15 Secret Codes, II.- II POLYNOMIALS.- 1 Polynomials.- 2 Unique Factorization.- 3 The Fundamental Theorem of Algebra.- 4 Irreducible Polynomials in ?[x].- 5 Partial Fractions.- 6 The Derivative of a Polynomial.- 7 Sturm’s Algorithm.- 8 Factoring in ?[x], I.- 9 Congruences Modulo a Polynomial.- 10 Fermat’s Theorem, II.- 11 Factoring in ?;[x], II: Lagrange Interpolation.- 12 Factoring in ?p[x].- 13 Factoring in ?[x], III: Mod m.- III FIELDS.- 1 Primitive Elements.- 2 Repeating Decimals, II.- 3 Testing for Primeness.- 4 Fourth Roots of One in ?p.- 5 Telephone Cable Splicing.- 6 Factoring in ?[x], IV: Bad Examples Modp.- 7 Congruence Classes Modulo a Polynomial: Simple Field Extensions.- 8 Polynomials and Roots.- 9 Error Correcting Codes, II.- 10 Isomorphisms, I.- 11 Finite Fields are Simple.- 12 Latin Squares.- 13 Irreducible Polynomials in ?p[x].- 14 Finite Fields.- 15 The Discriminant and Stickelberger’s Theorem.- 16 Quadratic Residues.- 17 Duplicate Bridge Tournaments.- 18 Algebraic Number Fields.- 19 Isomorphisms, II.- 20 Sums of Two Squares.- 21 On Unique Factorization.- Exercises Used in Subsequent Chapters.- Comments on the Starred Problems.- References.h*AENDERUNG TITEL
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