Fearless Symmetry : : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash.
Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns a...
Saved in:
| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2008] ©2008 |
| Year of Publication: | 2008 |
| Edition: | New edition with a New preface by the authors |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (312 p.) :; 1 halftone. 2 line illus. |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| LEADER | 05700nam a22008295i 4500 | ||
|---|---|---|---|
| 001 | 9781400837779 | ||
| 003 | DE-B1597 | ||
| 005 | 20210830012106.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 210830t20082008nju fo d z eng d | ||
| 019 | |a (OCoLC)1013946211 | ||
| 019 | |a (OCoLC)1029818777 | ||
| 019 | |a (OCoLC)1032685261 | ||
| 019 | |a (OCoLC)1037925500 | ||
| 019 | |a (OCoLC)1041989782 | ||
| 019 | |a (OCoLC)1046608148 | ||
| 019 | |a (OCoLC)1047020686 | ||
| 019 | |a (OCoLC)1049620159 | ||
| 019 | |a (OCoLC)1054880021 | ||
| 020 | |a 9781400837779 | ||
| 024 | 7 | |a 10.1515/9781400837779 |2 doi | |
| 035 | |a (DE-B1597)446841 | ||
| 035 | |a (OCoLC)979749693 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA241 | |
| 072 | 7 | |a MAT022000 |2 bisacsh | |
| 082 | 0 | 4 | |a 512.7 |
| 084 | |a SK 180 |2 rvk |0 (DE-625)rvk/143222: | ||
| 100 | 1 | |a Ash, Avner, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Fearless Symmetry : |b Exposing the Hidden Patterns of Numbers - New Edition / |c Robert Gross, Avner Ash. |
| 250 | |a New edition with a New preface by the authors | ||
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2008] | |
| 264 | 4 | |c ©2008 | |
| 300 | |a 1 online resource (312 p.) : |b 1 halftone. 2 line illus. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Foreword -- |t Preface To The Paperback Edition -- |t Preface -- |t Acknowledgments -- |t Greek Alphabet -- |t Part One. Algebraic Preliminaries -- |t Chapter 1. Representations -- |t Chapter 2. Groups -- |t Chapter 3. Permutations -- |t Chapter 4. Modular Arithmetic -- |t Chapter 5. Complex Numbers -- |t Chapter 6. Equations and Varieties -- |t Chapter 7. Quadratic Reciprocity -- |t Part Two. Galois Theory and Representations -- |t Chapter 8. Galois Theory -- |t Chapter 9. Elliptic Curves -- |t Chapter 10. Matrices -- |t Chapter 11. Groups of Matrices -- |t Chapter 12. Group Representations -- |t Chapter 13. The Galois Group Of A Polynomial -- |t Chapter 14. The Restriction Morphism -- |t Chapter 15. The Greeks Had a Name for it -- |t Chapter 16. Frobenius -- |t Part Three. Reciprocity Laws -- |t Chapter 17. Reciprocity Laws -- |t Chapter 18. One- And Two-Dimensional Representations -- |t Chapter 19. Quadratic Reciprocity Revisited -- |t Chapter 20. A Machine for Making Galois Representations -- |t Chapter 21. A Last Look at Reciprocity -- |t Chapter 22. Fermat's Last Theorem and Generalized Fermat Equations -- |t Chapter 23. Retrospect -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetries were first discovered nearly two hundred years ago by French mathematician évariste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination. The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Number theory. | |
| 650 | 7 | |a MATHEMATICS / Number Theory. |2 bisacsh | |
| 700 | 1 | |a Gross, Robert, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Backlist 2000-2013 |z 9783110442502 |
| 776 | 0 | |c print |z 9780691138718 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400837779 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400837779 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9781400837779.jpg |
| 912 | |a 978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013 |c 2000 |d 2013 | ||
| 912 | |a EBA_BACKALL | ||
| 912 | |a EBA_CL_MTPY | ||
| 912 | |a EBA_EBACKALL | ||
| 912 | |a EBA_EBKALL | ||
| 912 | |a EBA_ECL_MTPY | ||
| 912 | |a EBA_EEBKALL | ||
| 912 | |a EBA_ESTMALL | ||
| 912 | |a EBA_PPALL | ||
| 912 | |a EBA_STMALL | ||
| 912 | |a GBV-deGruyter-alles | ||
| 912 | |a PDA12STME | ||
| 912 | |a PDA13ENGE | ||
| 912 | |a PDA18STMEE | ||
| 912 | |a PDA5EBK | ||