Fearless symmetry :: exposing the hidden patterns of numbers /
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...
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Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Princeton, N.J. ; Woodstock :
Princeton University Press,
2008.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | 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. |
Beschreibung: | First paperback printing, with a new preface by the authors, 2008. |
Beschreibung: | 1 online resource (xxix, 272 pages :) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781400837779 1400837774 |
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245 | 1 | 0 | |a Fearless symmetry : |b exposing the hidden patterns of numbers / |c Avner Ash and Robert Gross. |
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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. | ||
546 | |a In English. | ||
650 | 0 | |a Number theory. |0 http://id.loc.gov/authorities/subjects/sh85093222 | |
650 | 6 | |a Théorie des nombres. | |
650 | 7 | |a MATHEMATICS |x Number Theory. |2 bisacsh | |
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author | Ash, Avner, 1949- Gross, Robert, 1959- |
author_GND | http://id.loc.gov/authorities/names/n2005048797 http://id.loc.gov/authorities/names/n2005048799 |
author_facet | Ash, Avner, 1949- Gross, Robert, 1959- |
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contents | pt. 1. Algebraic preliminaries -- pt. 2. Galois theory and representations -- pt. 3. Reciprocity laws. |
ctrlnum | (OCoLC)705944534 |
dewey-full | 512.7 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.7 |
dewey-search | 512.7 |
dewey-sort | 3512.7 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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institution | BVB |
isbn | 9781400837779 1400837774 |
language | English |
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spelling | Ash, Avner, 1949- author. https://id.oclc.org/worldcat/entity/E39PBJvxq7xmXGjt3xFRYTRR8C http://id.loc.gov/authorities/names/n2005048797 Fearless symmetry : exposing the hidden patterns of numbers / Avner Ash and Robert Gross. Princeton, N.J. ; Woodstock : Princeton University Press, 2008. 1 online resource (xxix, 272 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file First paperback printing, with a new preface by the authors, 2008. Includes bibliographical references and index. Print version record. pt. 1. Algebraic preliminaries -- pt. 2. Galois theory and representations -- pt. 3. Reciprocity laws. 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. In English. Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Théorie des nombres. MATHEMATICS Number Theory. bisacsh Number theory fast Gross, Robert, 1959- author. https://id.oclc.org/worldcat/entity/E39PCjJhvhWdvktWXxTtQbTx9P http://id.loc.gov/authorities/names/n2005048799 has work: Fearless symmetry (Text) https://id.oclc.org/worldcat/entity/E39PCGhbdxkd9tFhkjvKVmfQMd https://id.oclc.org/worldcat/ontology/hasWork Print version: Ash, Avner, 1949- Fearless symmetry. Princeton, N.J. ; Woodstock : Princeton University Press, 2008 9780691138718 (OCoLC)231587327 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=355982 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=355982 Volltext |
spellingShingle | Ash, Avner, 1949- Gross, Robert, 1959- Fearless symmetry : exposing the hidden patterns of numbers / pt. 1. Algebraic preliminaries -- pt. 2. Galois theory and representations -- pt. 3. Reciprocity laws. Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Théorie des nombres. MATHEMATICS Number Theory. bisacsh Number theory fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85093222 |
title | Fearless symmetry : exposing the hidden patterns of numbers / |
title_auth | Fearless symmetry : exposing the hidden patterns of numbers / |
title_exact_search | Fearless symmetry : exposing the hidden patterns of numbers / |
title_full | Fearless symmetry : exposing the hidden patterns of numbers / Avner Ash and Robert Gross. |
title_fullStr | Fearless symmetry : exposing the hidden patterns of numbers / Avner Ash and Robert Gross. |
title_full_unstemmed | Fearless symmetry : exposing the hidden patterns of numbers / Avner Ash and Robert Gross. |
title_short | Fearless symmetry : |
title_sort | fearless symmetry exposing the hidden patterns of numbers |
title_sub | exposing the hidden patterns of numbers / |
topic | Number theory. http://id.loc.gov/authorities/subjects/sh85093222 Théorie des nombres. MATHEMATICS Number Theory. bisacsh Number theory fast |
topic_facet | Number theory. Théorie des nombres. MATHEMATICS Number Theory. Number theory |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=355982 |
work_keys_str_mv | AT ashavner fearlesssymmetryexposingthehiddenpatternsofnumbers AT grossrobert fearlesssymmetryexposingthehiddenpatternsofnumbers |