中圖網(wǎng)小程序
一鍵登錄
更方便
本類(lèi)五星書(shū)更多>
-
>
宇宙、量子和人類(lèi)心靈
-
>
氣候文明史
-
>
南極100天
-
>
考研數(shù)學(xué)專(zhuān)題練1200題
-
>
希格斯:“上帝粒子”的發(fā)明與發(fā)現(xiàn)
-
>
神農(nóng)架疊層石:10多億年前遠(yuǎn)古海洋微生物建造的大堡礁
-
>
聲音簡(jiǎn)史
中圖價(jià):¥26.8
加入購(gòu)物車(chē)
伽羅瓦理論 版權(quán)信息
- ISBN：9787510027420
- 條形碼：9787510027420 ; 978-7-5100-2742-0
- 裝幀：一般膠版紙
- 冊(cè)數(shù)：暫無(wú)
- 重量：暫無(wú)
- 所屬分類(lèi)：>>
伽羅瓦理論 本書(shū)特色
這本《伽羅瓦理論》由美國(guó)的Harold M. Edwards所著，內(nèi)容是：This exposition of Galois theory was originally going to be Chapter 1 of thecontinuation of my book Fermat's Last Theorem, but it soon outgrew anyreasonable bounds for an introductory chapter, and I decided to make it aseparate book. However, this decision was prompted by more than just thelength. Following the precepts of my sermon "Read the Masters!" [E2], I made the reading of Galois' original memoir a major part of my study ofGalois theory, and I saw that the modern treatments of Galois theory lackedmuch of the simplicity and clarity of the original. Therefore I wanted towrite about the theory in a way that would not only explain it, but explain it in terms close enough to Galois' own to make his memoir accessible to thereader, in the same way that I tried to make Riemann's memoir on the zetafunction and Kummer's papers on Fermat's Last Theorem accessible in myearlier books, [Eli and I-E3].
伽羅瓦理論 內(nèi)容簡(jiǎn)介
this exposition of galois theory was originally going to be chapter i of the continuation of my book ferrnat's last theorem, but it soon outgrew any reasonable bounds for an introductory chapter, and i decided to make it a separate book. however, this decision was prompted by more than just the length. following the precepts of my sermon "read the masters!" [e2], imade the reading of galois' original memoir a major part of my study of galois theory, and i saw that the modern treatments of galois theory lacked much of the simplicity and clarity of the original. therefore i wanted to write about the theory in a way that would not only explain it, but explain it in terms close enough to galois' own to make his memoir accessible to the reader, in the same way that i tried to make riemann's memoir on the zeta function and kummer's papers on fermat's last theorem accessible in my earlier books, [eli and [e3]. clearly i could not do this within the confines of one expository chapter
伽羅瓦理論 目錄
acknowledgments xiii
1. galois 2. influence of lagrange 3. quadratic equations 4.1700 n.c. to a.o. 1500 5. solution of cubic 6. solution of quartic 7.impossibility of quintic 8. newton 9. symmetric polynomials in roots 10. fundamental theorem on symmetric polynomials 11. proof 12.newton's theorem 13. discriminants
first exercise set
14. solution of cubic 15. lagrange and vandermonde 16. lagrange resolvents 17. solution of quartic again 18. attempt at quintic ~19.lagrange's rdfiexions
second exercise set
20. cyciotomic equations 21. the cases n = 3, 5 22. n = 7, 11 23.general case 24. two lemmas 25. gauss's method ~26. p-gons by ruler and compass 27. summary
third exercise set
28. resolvents 29. lagrange's theorem 30. proof 31. galois resolvents 32. existence of galois resolvents 33. representation of the splitting field as k(t) ~34. simple algebraic extensions 35. euclidean algorithm 36. construction of simple algebraic extensions 37. galois'method
fourth exercise set
1. galois 2. influence of lagrange 3. quadratic equations 4.1700 n.c. to a.o. 1500 5. solution of cubic 6. solution of quartic 7.impossibility of quintic 8. newton 9. symmetric polynomials in roots 10. fundamental theorem on symmetric polynomials 11. proof 12.newton's theorem 13. discriminants
first exercise set
14. solution of cubic 15. lagrange and vandermonde 16. lagrange resolvents 17. solution of quartic again 18. attempt at quintic ~19.lagrange's rdfiexions
second exercise set
20. cyciotomic equations 21. the cases n = 3, 5 22. n = 7, 11 23.general case 24. two lemmas 25. gauss's method ~26. p-gons by ruler and compass 27. summary
third exercise set
28. resolvents 29. lagrange's theorem 30. proof 31. galois resolvents 32. existence of galois resolvents 33. representation of the splitting field as k(t) ~34. simple algebraic extensions 35. euclidean algorithm 36. construction of simple algebraic extensions 37. galois'method
fourth exercise set
展開(kāi)全部
伽羅瓦理論 節(jié)選
《伽羅瓦理論》內(nèi)容簡(jiǎn)介：This exposition of Galois theory was originally going to be Chapter 1 of thecontinuation of my book Fermat's Last Theorem, but it soon outgrew anyreasonable bounds for an introductory chapter, and I decided to make it aseparate book. However, this decision was prompted by more than just thelength. Following the precepts of my sermon "Read the Masters！" [E2], Imade the reading of Galois' original memoir a major part of my study ofGalois theory, and I saw that the modern treatments of Galois theory lackedmuch of the simplicity and clarity of the original. Therefore I wanted towrite about the theory in a way that would not only explain it, but explain itin terms close enough to Galois' own to make his memoir accessible to thereader, in the same way that I tried to make Riemann's memoir on the zetafunction and Kummer's papers on Fermat's Last Theorem accessible in myearlier books, [El] and [E3]. Clearly I could not do this within the confinesof one expository chapter.
書(shū)友推薦
- >
龍榆生：詞曲概論/大家小書(shū)
- >
煙與鏡
- >
朝聞道
- >
推拿
- >
人文閱讀與收藏·良友文學(xué)叢書(shū):一天的工作
- >
羅庸西南聯(lián)大授課錄
- >
伊索寓言-世界文學(xué)名著典藏-全譯本
- >
隨園食單
本類(lèi)暢銷(xiāo)
-
-
代數(shù)學(xué)引論-(第二卷)(第3版)
¥36.3¥44.1 -
-
-
-
