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in00005301672 |
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OCoLC |
| 005 |
20220616091110.0 |
| 008 |
130612s2013 nju b 001 0deng |
| 010 |
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|a 2013018928
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| 020 |
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|a 9780470876169 (cloth)
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| 020 |
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|a 0470876166 (cloth)
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| 035 |
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|a (CaEvSKY)sky256024866
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| 035 |
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|a (OCoLC)847985696
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| 040 |
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|a DLC
|c DLC
|d DLC
|d SKYRV
|d UtOrBLW
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| 042 |
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|a pcc
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| 049 |
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|a EEMO
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| 050 |
0 |
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|a QA162
|b .S73 2013
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| 082 |
0 |
0 |
|a 512/.02
|2 23
|
| 100 |
1 |
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|a Stahl, Saul.
|0 http://id.loc.gov/authorities/names/n92102227
|
| 245 |
1 |
0 |
|a Introductory modern algebra :
|b a historical approach /
|c Saul Stahl, Department of Mathematics, University of Kansas.
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| 250 |
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|a Second edition.
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| 260 |
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|a Hoboken, New Jersey :
|b John Wiley & Sons, Inc.,
|c [2013]
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| 300 |
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|a xii, 447 pages ;
|c 25 cm
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| 336 |
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|a text
|b txt
|2 rdacontent
|
| 337 |
|
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|a unmediated
|b n
|2 rdamedia
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| 338 |
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|a volume
|b nc
|2 rdacarrier
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| 504 |
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|a Includes bibliographical references (pages 431-432) and index.
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| 505 |
0 |
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|a Chapter 1: The Early History; 1.1 The Breakthrough.
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| 505 |
0 |
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|a Chapter 2: Complex Numbers; 2.1 Rational Functions of Complex Numbers; 2.2 Complex Roots; 2.3 Solvability by Radicals I; 2.4 Ruler-and-Compass Constructibility of Regular Polygons; 2.5 Orders of Roots of Unity; 2.6 The Existence of Complex Numbers.
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| 505 |
0 |
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|a Chapter 3: Solutions of Equations; 3.1 The Cubic Formula; 3.2 Solvability by Radicals II; 3.3 Other Types of Solutions.
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| 505 |
0 |
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|a Chapter 4: Modular Arithmetic; 4.1 Modular Addition, Subtraction, and Multiplication; 4.2 The Euclidean Algorithm and Modular Inverses; 4.3 Radicals in Modular Arithmetic; 4.4 The Fundamental Theorem of Arithmetic.
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| 505 |
0 |
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|a Chapter 5: The Binomial Theorem and Modular Powers; 5.1 The Binomial Theorem; 5.2 Fermat's Theorem and Modular Exponents; 5.3 The Multinomial Theorem; 5.4 The Euler ₁їFunction.
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| 505 |
0 |
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|a Chapter 6: Polynomials Over A Field; 6.1 Fields and Their Polynomials; 6.2 The Factorization of Polynomials; 6.3 The Euclidean Algorithm for Polynomials; 6.4 Elementary Symmetric Polynomials; 6.5 Lagrange's Solution of the Quartic Equation.
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| 505 |
0 |
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|a Chapter 7: Galois Fields; 7.1 Galois's Construction of His Fields7.2 The Galois Polynomial; 7.3 The Primitive Element Theorem; 7.4 On the Variety of Galois Fields.
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| 505 |
0 |
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|a Chapter 8: Permutations; 8.1 Permuting the Variables of a Function I; 8.2 Permutations; 8.3 Permuting the Variables of a Function II; 8.4 The Parity of a Permutation.
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| 505 |
0 |
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|a Chapter 9: Groups; 9.1 Permutation Groups; 9.2 Abstract Groups; 9.3 Isomorphisms of Groups and Orders of Elements; 9.4 Subgroups and Their Orders; 9.5 Cyclic Groups and Subgroups; 9.6 Cayley's Theorem.
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| 505 |
0 |
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|a Chapter 10: Quotient Groups and Their Uses; 10.1 Quotient Groups; 10.2 Group Homomorphisms; 10.3 The Rigorous Construction of Fields10.4 Galois Groups and the Resolvability of Equations.
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| 505 |
0 |
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|a Chapter 11: Topics in Elementary Group Theory; 11.1 The Direct Product of Groups; 11.2 More Classifications.
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| 505 |
0 |
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|a Chapter 12: Number Theory; 12.1 Pythagorean Triples; 12.2 Sums of Two Squares; 12.3 Quadratic Reciprocity; 12.4 The Gaussian Integers; 12.5 Eulerian Integers and Others; 12.6 What Is the Essence of Primality?
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| 505 |
0 |
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|a Chapter 13: The Arithmetic of Ideals; 13.1 Preliminaries; 13.2 Integers of a Quadratic Field; 13.3 Ideals; 13.4 Cancelation of Ideals; 13.5 Norms of Ideals; 13.6 Prime Ideals and Unique Factorization13.7 Constructing Prime Ideals.
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| 505 |
0 |
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|a Chapter 14: Abstract Rings; 14.1 Rings; 14.2 Ideals; 14.3 Domains; 14.4 Quotients of Rings.
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| 505 |
0 |
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|a A. Excerpts from Al-Khwarizmi's Solution of the Quadratic Equation1; B. Excerpts from Cardano's Ars Magna1; C. Excerpts from Abel's A Demonstration of the Impossibility of the Algebraic Resolution of General Equations Whose Degree Exceeds Four1; D. Excerpts from Galois's On the Theory of Numbers1; E. Excerpts from Cayley's The Theory of Groups1; F. Mathematical Induction; G. Logic, Predicates, Sets, and Functions.
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| 650 |
|
0 |
|a Algebra, Abstract.
|0 http://id.loc.gov/authorities/subjects/sh85003428
|
| 650 |
|
7 |
|a Algebra.
|2 gnd
|
| 650 |
|
7 |
|a Algebra, Abstract.
|2 fast
|0 (OCoLC)fst00804919.
|
| 776 |
0 |
8 |
|i Online version:
|a Stahl, Saul.
|t Introductory modern algebra
|b Second edition.
|d Hoboken, New Jersey : John Wiley & Sons, Inc., [2013]
|z 9781118552032
|w (DLC) 2013023830.
|
| 907 |
|
|
|y .b10489491x
|b 210805
|c 140527
|
| 998 |
|
|
|a rs
|b 140908
|c m
|d a
|e -
|f eng
|g nju
|h 0
|i 2
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| 999 |
f |
f |
|i 10eed63f-6145-56cd-80ba-3f6c16044dda
|s 3b7271f2-cfc8-5a5e-8779-db4194ae89ac
|t 0
|
| 952 |
f |
f |
|p Can Circulate
|a Michigan State University-Library of Michigan
|b Michigan State University
|c MSU Remote Storage
|d MSU Remote Storage
|t 0
|e QA162 .S73 2013
|h Library of Congress classification
|i Printed Material
|m 31293007280898
|n 1
|
