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This text introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics-the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Along with sever
This text introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics-the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Along with sever
Ian Stewart is an emeritus professor of mathematics at the University of Warwick and a fellow of the Royal Society. Dr. Stewart has been a recipient of many honors, including the Royal Society's Faraday Medal, the IMA Gold Medal, the AAAS Public Understanding of Science and Technology Award, and the LMS/IMA Zeeman Medal. He has published more than 180 scientific papers and numerous books, including several bestsellers co-authored with Terry Pratchett and Jack Cohen that combine fantasy with nonfiction.
David Tall is an emeritus professor of mathematical thinking at the University of Warwick. Dr. Tall has published numerous mathematics textbooks and more than 200 papers on mathematics and mathematics education. His research interests include cognitive theory, algebra, visualization, mathematical thinking, and mathematics education.
Algebraic Methods: Algebraic Background. Algebraic Numbers. Quadratic and Cylclotomic Fields. Factorization into Irreducibles. Ideals. Geometric Methods: Lattices. Minkowski's Theorem. Geometric Representation of Algebraic Numbers. Class-Group and Class-Number. Number-Theoretic Applications: Computational Methods. Kummer's Special Case of Fermat's Last Theorem. The Path to the Final Breakthrough. Elliptic Curves. Elliptic Functions. Wiles's Strategy and Recent Developments. Appendices: Quadratic Residues. Dirichlet's Units Theorems.
| Erscheinungsjahr: | 2020 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 344 |
| ISBN-13: | 9780367658717 |
| ISBN-10: | 0367658712 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Tall, David
Stewart, Ian |
| Hersteller: | Taylor & Francis Ltd |
| Maße: | 228 x 151 x 38 mm |
| Von/Mit: | David Tall (u. a.) |
| Erscheinungsdatum: | 30.09.2020 |
| Gewicht: | 0,514 kg |
Ian Stewart is an emeritus professor of mathematics at the University of Warwick and a fellow of the Royal Society. Dr. Stewart has been a recipient of many honors, including the Royal Society's Faraday Medal, the IMA Gold Medal, the AAAS Public Understanding of Science and Technology Award, and the LMS/IMA Zeeman Medal. He has published more than 180 scientific papers and numerous books, including several bestsellers co-authored with Terry Pratchett and Jack Cohen that combine fantasy with nonfiction.
David Tall is an emeritus professor of mathematical thinking at the University of Warwick. Dr. Tall has published numerous mathematics textbooks and more than 200 papers on mathematics and mathematics education. His research interests include cognitive theory, algebra, visualization, mathematical thinking, and mathematics education.
Algebraic Methods: Algebraic Background. Algebraic Numbers. Quadratic and Cylclotomic Fields. Factorization into Irreducibles. Ideals. Geometric Methods: Lattices. Minkowski's Theorem. Geometric Representation of Algebraic Numbers. Class-Group and Class-Number. Number-Theoretic Applications: Computational Methods. Kummer's Special Case of Fermat's Last Theorem. The Path to the Final Breakthrough. Elliptic Curves. Elliptic Functions. Wiles's Strategy and Recent Developments. Appendices: Quadratic Residues. Dirichlet's Units Theorems.
| Erscheinungsjahr: | 2020 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 344 |
| ISBN-13: | 9780367658717 |
| ISBN-10: | 0367658712 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Tall, David
Stewart, Ian |
| Hersteller: | Taylor & Francis Ltd |
| Maße: | 228 x 151 x 38 mm |
| Von/Mit: | David Tall (u. a.) |
| Erscheinungsdatum: | 30.09.2020 |
| Gewicht: | 0,514 kg |
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