| Physical description |
xii, 206 pages : illustrations ; 24 cm |
| Bibliography |
Includes bibliographical references and indexes. |
| Contents |
Pt. 1. Numbers and equations -- Lesson 1. What algebra is -- Lesson 2. Equations and their solutions -- Lesson 3. Where algebra comes from -- Lesson 4. Why algebra is important -- Lesson 5. Numerical solution of equations -- Pt. 2. The formulaic approach to equations -- Lesson 6. Combinatoric solutions I: quadratic equations -- Lesson 7. Combinatoric solutions II: cubic equations -- Pt. 3. Resolvents -- Lesson 8. From combinatorics to resolvents -- Lesson 9. The search for resolvents -- Pt. 4. Abstract algebra -- Lesson 10. Existence and constructibility of roots -- Lesson 11. The breakthrough: Galois theory -- Epilogue: modern algebra -- App. Some facts about plynomials. |
| Summary |
"Classical Algebra provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today. With a focus on prominent areas such as the numerical solutions of equations, the systematic study of equations, and Galois theory, this book facilitates a thorough understanding of algebra and illustrates how the concepts of modern algebra orginally developed from classical algebraic precursors." "Complemented with a mixture of historical remarks and analyses of polynomial equations throughout, this book is excellent for mathematics courses of the undergraduate level. It also serves as a valuable resource to anyone with a general interest in mathematics."--BOOK JACKET. |
| Subject |
Algebra.
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Algebra -- History.
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Algebraic logic.
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| ISBN |
9780470259528 (paperback: acid-free paper) |
|
0470259523 (paperback: acid-free paper) |
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