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20240329122006.0 |
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m o d |
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230209s2013 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d OCLCQ
|d EBLCP
|d OCLCO
|d OCLCQ
|d OCLCL
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| 066 |
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|c (S
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|a 9781118552032
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|a 1118552032
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|a (OCoLC)1347023684
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|a 512
|q OCoLC
|2 21/eng/20230216
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Stahl, Saul.
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| 245 |
1 |
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|a Introductory Modern Algebra
|h [electronic resource] :
|b A Historical Approach.
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2013.
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| 300 |
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|a 1 online resource (384 p.).
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| 490 |
1 |
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|a New York Academy of Sciences Ser.
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| 500 |
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|a Description based upon print version of record.
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| 505 |
0 |
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|a Intro -- Half Title page -- Title page -- Copyright page -- Preface -- Chapter 1: The Early History -- 1.1 The Breakthrough -- 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 -- Chapter 3: Solutions of Equations -- 3.1 The Cubic Formula -- 3.2 Solvability by Radicals II -- 3.3 Other Types of Solutions -- Chapter 4: Modular Arithmetic
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|a 6.5 Lagrange's Solution of the Quartic Equation -- Chapter 7: Galois Fields -- 7.1 Galois's Construction of His Fields -- 7.2 The Galois Polynomial -- 7.3 The Primitive Element Theorem -- 7.4 On the Variety of Galois Fields -- 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 -- 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
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| 505 |
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|a 9.6 Cayley's Theorem -- Chapter 10: Quotient Groups and Their Uses -- 10.1 Quotient Groups -- 10.2 Group Homomorphisms -- 10.3 The Rigorous Construction of Fields -- 10.4 Galois Groups and the Resolvability of Equations -- Chapter 11: Topics in Elementary Group Theory -- 11.1 The Direct Product of Groups -- 11.2 More Classifications -- 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? -- Chapter 13: The Arithmetic of Ideals
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| 505 |
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|a 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 Factorization -- 13.7 Constructing Prime Ideals -- Chapter 14: Abstract Rings -- 14.1 Rings -- 14.2 Ideals -- 14.3 Domains -- 14.4 Quotients of Rings -- 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
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| 500 |
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|a D. Excerpts from Galois's On the Theory of Numbers1
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 655 |
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0 |
|a Electronic books.
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| 758 |
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|i has work:
|a Introductory modern algebra (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFv6vy8FdQ74w3WBr6KPQq
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Stahl, Saul
|t Introductory Modern Algebra
|d Newark : John Wiley & Sons, Incorporated,c2013
|z 9780470876169
|
| 830 |
|
0 |
|a New York Academy of Sciences Ser.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103799
|z Texto completo
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| 880 |
8 |
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|6 505-00/(S
|a 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 -- 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 φ-Function -- 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
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL7103799
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| 994 |
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|a 92
|b IZTAP
|
