ENGLISH

Modern Algebra

By Seth Warner

Book information

Publisher
Prentice Hall
Year
1965
Language
english
Format
PDF
Filesize
16 MB (16884877 bytes)
Series
PRENTICE-HALL MATHEMATICS SERIES
Volume
II
Edition
1
Pages
348\368
Topic
Mathematics Algebra
Time added
2022-11-15 07:20:02

Description

Chapter VII. THE REAL AND COMPLEX NUMBER FIELDS 459 41. Dedekind and Archimedian Ordered Fields 459 42. The Construction of a Dedekind Ordered Field 469 43. Isomorphisms of Archimedian Ordered Groups 477 44. The Field of Complex Numbers 487 45. The Algebra of Quaternions 503 Chapter VIII. ALGEBRAIC EXTENSIONS OF FIELDS 512 46. Algebraic Extensions 512 47. Constructions by Ruler and Compass 520 48. Galois Theory 527 49. Separable and Normal Extensions 538 50. Roots of Unity 549 51. Solving Quadratics, Cubics, and Quartics 564 52. Permutation Groups 580 53. Solving Polynomials by Radicals 595 Chapter IX. LINEAR OPERATORS 610 54. Diagonalizable Operators 610 55. Primary and Torsion-free Modules 627 56. Finitely Generated Modules 643 57. Decompositions of Linear Operators 659 58. Determinants 679 Chapter X. INNER PRODUCT SPACES 709 59. Inner Products 709 60. Orthonormal Bases 721 61. Adjoints 731 62. The Spectral Theorem 741 63. Linear Operators on Inner Product Spaces 757 Chapter XI. THE AXIOM OF CHOICE 64. The Axiom of Choice 770 65. Zorn’s Lemma 775 66. Algebraic Closures 791 LIST OF SYMBOLS 799 INDEX 801

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