The impossible quintic made as simple as possible /:
"In 1832, just before his untimely death, twenty year old French mathematical genius, Everiste Galois spent the whole night rewriting the new mathematics he had discovered. It gave an amazing answer to a mathematical problem from antiquity. He could not know it then, but his new mathematics als...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Nova Science Publishers,
[2023]
|
| Schriftenreihe: | Theoretical and applied mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "In 1832, just before his untimely death, twenty year old French mathematical genius, Everiste Galois spent the whole night rewriting the new mathematics he had discovered. It gave an amazing answer to a mathematical problem from antiquity. He could not know it then, but his new mathematics also enabled our modern world through its application to quantum mechanics and coding theory. His new mathematics wasn't easy and Galois' overly brief writing style had rendered a previous draft of his ideas incomprehensible to the top mathematicians of the day. However, he did know that he might not have much time to give this new mathematics to the world. He was right - he was mortally wounded in a duel the next day. It has since been useful to put Galois theory within a framework of more abstract algebraic concepts, but this has made his work accessible only to those with advanced mathematics. This book follows Galois' original approach but avoids his overly brief style. Instead, unlike other books, it makes Galois' amazing mathematical ideas accessible to those with just university entrance level mathematics. Quadratic equations were solved with the help of square roots in ancient times. Equations with an x3 and those with an x4 term were solved 500 years ago with the help of cube roots and fourth roots, though with increasingly difficult formulas. Galois showed that a formula with square roots, cube roots and fourth and fifth roots, cannot be obtained for the quintic - an equation with an x5 term. It is not just that any potential formula would be so long and difficult that it has not yet been discovered, it is absolutely impossible. The proof of this impossibility is long and occupies this whole book, but readers are rewarded by getting to understand something that at first sight may seem impossible, a proof of impossibility. Readers will also be rewarded by getting to fully understand the series of startlingly clever mathematical manipulations of a genius"-- |
| Beschreibung: | 1 online resource. |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9798886979725 |
Internformat
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| 520 | |a "In 1832, just before his untimely death, twenty year old French mathematical genius, Everiste Galois spent the whole night rewriting the new mathematics he had discovered. It gave an amazing answer to a mathematical problem from antiquity. He could not know it then, but his new mathematics also enabled our modern world through its application to quantum mechanics and coding theory. His new mathematics wasn't easy and Galois' overly brief writing style had rendered a previous draft of his ideas incomprehensible to the top mathematicians of the day. However, he did know that he might not have much time to give this new mathematics to the world. He was right - he was mortally wounded in a duel the next day. It has since been useful to put Galois theory within a framework of more abstract algebraic concepts, but this has made his work accessible only to those with advanced mathematics. This book follows Galois' original approach but avoids his overly brief style. Instead, unlike other books, it makes Galois' amazing mathematical ideas accessible to those with just university entrance level mathematics. Quadratic equations were solved with the help of square roots in ancient times. Equations with an x3 and those with an x4 term were solved 500 years ago with the help of cube roots and fourth roots, though with increasingly difficult formulas. Galois showed that a formula with square roots, cube roots and fourth and fifth roots, cannot be obtained for the quintic - an equation with an x5 term. It is not just that any potential formula would be so long and difficult that it has not yet been discovered, it is absolutely impossible. The proof of this impossibility is long and occupies this whole book, but readers are rewarded by getting to understand something that at first sight may seem impossible, a proof of impossibility. Readers will also be rewarded by getting to fully understand the series of startlingly clever mathematical manipulations of a genius"-- |c Provided by publisher. | ||
| 588 | |a Description based on print version record and CIP data provided by publisher; resource not viewed. | ||
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| author | Kault, David Sneddon, Graeme Kault, Sam |
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| author_facet | Kault, David Sneddon, Graeme Kault, Sam |
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| contents | Introduction to Galois' Proof -- Theorems Related to Symmetry -- Euclid's Algorithm and Shared Roots -- Galois' Proof, Stage 1 -- Galois' Proof, Stage 2 -- Final Steps to the Impossible Quintic -- Summary. |
| ctrlnum | (OCoLC)1396814235 |
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| dewey-raw | 512.9/422 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-on1396814235 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:30:43Z |
| institution | BVB |
| isbn | 9798886979725 |
| language | English |
| lccn | 2023027552 |
| oclc_num | 1396814235 |
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| physical | 1 online resource. |
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| publishDate | 2023 |
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| publisher | Nova Science Publishers, |
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| series | Theoretical and applied mathematics. |
| series2 | Theoretical and applied mathematics |
| spelling | Kault, David, author. https://id.oclc.org/worldcat/entity/E39PCjxPvXpQTCxvKbvw3RM7H3 http://id.loc.gov/authorities/names/n2002013736 The impossible quintic made as simple as possible / David Kault, Graeme Sneddon, and Sam Kault. 2308 New York : Nova Science Publishers, [2023] 1 online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier Theoretical and applied mathematics Includes bibliographical references and index. Introduction to Galois' Proof -- Theorems Related to Symmetry -- Euclid's Algorithm and Shared Roots -- Galois' Proof, Stage 1 -- Galois' Proof, Stage 2 -- Final Steps to the Impossible Quintic -- Summary. "In 1832, just before his untimely death, twenty year old French mathematical genius, Everiste Galois spent the whole night rewriting the new mathematics he had discovered. It gave an amazing answer to a mathematical problem from antiquity. He could not know it then, but his new mathematics also enabled our modern world through its application to quantum mechanics and coding theory. His new mathematics wasn't easy and Galois' overly brief writing style had rendered a previous draft of his ideas incomprehensible to the top mathematicians of the day. However, he did know that he might not have much time to give this new mathematics to the world. He was right - he was mortally wounded in a duel the next day. It has since been useful to put Galois theory within a framework of more abstract algebraic concepts, but this has made his work accessible only to those with advanced mathematics. This book follows Galois' original approach but avoids his overly brief style. Instead, unlike other books, it makes Galois' amazing mathematical ideas accessible to those with just university entrance level mathematics. Quadratic equations were solved with the help of square roots in ancient times. Equations with an x3 and those with an x4 term were solved 500 years ago with the help of cube roots and fourth roots, though with increasingly difficult formulas. Galois showed that a formula with square roots, cube roots and fourth and fifth roots, cannot be obtained for the quintic - an equation with an x5 term. It is not just that any potential formula would be so long and difficult that it has not yet been discovered, it is absolutely impossible. The proof of this impossibility is long and occupies this whole book, but readers are rewarded by getting to understand something that at first sight may seem impossible, a proof of impossibility. Readers will also be rewarded by getting to fully understand the series of startlingly clever mathematical manipulations of a genius"-- Provided by publisher. Description based on print version record and CIP data provided by publisher; resource not viewed. Quintic equations. http://id.loc.gov/authorities/subjects/sh85044519 Galois theory. http://id.loc.gov/authorities/subjects/sh85052872 Équations du cinquième degré. Théorie de Galois. Galois theory fast Quintic equations fast Sneddon, Graeme, author. http://id.loc.gov/authorities/names/n2023036167 Kault, Sam, author. http://id.loc.gov/authorities/names/n2023036169 Print version: Kault, David. Impossible quintic made as simple as possible New York : Nova Science Publishers, [2023] 9798886979084 (DLC) 2023027551 Theoretical and applied mathematics. http://id.loc.gov/authorities/names/no2017161960 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=3619759 Volltext |
| spellingShingle | Kault, David Sneddon, Graeme Kault, Sam The impossible quintic made as simple as possible / Theoretical and applied mathematics. Introduction to Galois' Proof -- Theorems Related to Symmetry -- Euclid's Algorithm and Shared Roots -- Galois' Proof, Stage 1 -- Galois' Proof, Stage 2 -- Final Steps to the Impossible Quintic -- Summary. Quintic equations. http://id.loc.gov/authorities/subjects/sh85044519 Galois theory. http://id.loc.gov/authorities/subjects/sh85052872 Équations du cinquième degré. Théorie de Galois. Galois theory fast Quintic equations fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85044519 http://id.loc.gov/authorities/subjects/sh85052872 |
| title | The impossible quintic made as simple as possible / |
| title_auth | The impossible quintic made as simple as possible / |
| title_exact_search | The impossible quintic made as simple as possible / |
| title_full | The impossible quintic made as simple as possible / David Kault, Graeme Sneddon, and Sam Kault. |
| title_fullStr | The impossible quintic made as simple as possible / David Kault, Graeme Sneddon, and Sam Kault. |
| title_full_unstemmed | The impossible quintic made as simple as possible / David Kault, Graeme Sneddon, and Sam Kault. |
| title_short | The impossible quintic made as simple as possible / |
| title_sort | impossible quintic made as simple as possible |
| topic | Quintic equations. http://id.loc.gov/authorities/subjects/sh85044519 Galois theory. http://id.loc.gov/authorities/subjects/sh85052872 Équations du cinquième degré. Théorie de Galois. Galois theory fast Quintic equations fast |
| topic_facet | Quintic equations. Galois theory. Équations du cinquième degré. Théorie de Galois. Galois theory Quintic equations |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=3619759 |
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