The Thirteen Books of the Elements, Vol. 2: Volume 2
暫譯: 元素的十三本書，第二卷：第二卷
Euclid
- 出版商: Dover Publications
- 出版日期: 1956-06-01
- 售價: $910
- 貴賓價: 9.8 折 $891
- 語言: 英文
- 頁數: 464
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0486600890
- ISBN-13: 9780486600895
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
商品描述
This is the definitive edition of one of the very greatest classics of all time -- the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses almost 2,500 years of mathematical and historical study upon Euclid.
This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus that analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes.
"The textbook that shall really replace Euclid has not yet been written and probably never will be." -- Encyclopaedia Britannica.
Volume 1. 151-page Introduction: life and other works of Euclid; Greek and Islamic commentators; surviving mss., scholia, translations; bases of Euclid's thought. Books I and II of the Elements, straight lines, angles, intersection of lines, triangles, parallelograms, etc.
Volume 2. Books III-IX: Circles, tangents, segments, figures described around and within circles, rations, proportions, magnitudes, polygons, prime numbers, products, plane and solid numbers, series of rations, etc.
Volume 3. Books X to XIII: planes, solid angles, etc.; method of exhaustion in similar polygons within circles, pyramids, cones, cylinders, spheres, etc. Appendix: Books XIV, XV, sometimes ascribed to Euclid.
This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus that analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes.
"The textbook that shall really replace Euclid has not yet been written and probably never will be." -- Encyclopaedia Britannica.
Volume 1. 151-page Introduction: life and other works of Euclid; Greek and Islamic commentators; surviving mss., scholia, translations; bases of Euclid's thought. Books I and II of the Elements, straight lines, angles, intersection of lines, triangles, parallelograms, etc.
Volume 2. Books III-IX: Circles, tangents, segments, figures described around and within circles, rations, proportions, magnitudes, polygons, prime numbers, products, plane and solid numbers, series of rations, etc.
Volume 3. Books X to XIII: planes, solid angles, etc.; method of exhaustion in similar polygons within circles, pyramids, cones, cylinders, spheres, etc. Appendix: Books XIV, XV, sometimes ascribed to Euclid.
商品描述(中文翻譯)
這是有史以來最偉大的經典之一的權威版——完整的《幾何原本》，而非縮編版。使用海伯格（Heiberg）所建立的文本，托馬斯·希斯爵士（Sir Thomas Heath）涵蓋了近2500年的數學和歷史研究，關於歐幾里得（Euclid）。
這本未經刪減的原版擴充版重新出版，包含了《幾何原本》所有13本書的完整英文文本，以及一個詳細分析每個定義、公設和命題的批判性附錄。它涵蓋了文本和語言問題；對歐幾里得思想的數學分析；古典、中世紀、文藝復興和現代的評論者；反駁、支持、推斷、重新詮釋和歷史註釋，並附有大量引用。
「真正能取代歐幾里得的教科書尚未寫成，並且可能永遠不會出現。」——《大英百科全書》。
第一卷。151頁的導言：歐幾里得的生平及其他著作；希臘和伊斯蘭的評論者；現存的手稿、註釋、翻譯；歐幾里得思想的基礎。《幾何原本》第一和第二卷，直線、角度、線的交點、三角形、平行四邊形等。
第二卷。《幾何原本》第三至第九卷：圓、切線、弦、圍繞圓和圓內的圖形、比率、比例、大小、多邊形、質數、乘積、平面數和立體數、比率系列等。
第三卷。《幾何原本》第十至第十三卷：平面、立體角等；在圓內相似多邊形的耗盡法、金字塔、圓錐、圓柱、球體等。附錄：第十四、十五卷，有時歸於歐幾里得。
