標(biāo)題: Titlebook: Geometry: Euclid and Beyond; Robin Hartshorne Textbook 2000 Robin Hartshorne 2000 Area.Euclid.Euclid‘s Elements.Geometry.Non-Euclidean Geo [打印本頁(yè)] 作者: CYNIC 時(shí)間: 2025-3-21 20:09
書目名稱Geometry: Euclid and Beyond影響因子(影響力)
書目名稱Geometry: Euclid and Beyond影響因子(影響力)學(xué)科排名
書目名稱Geometry: Euclid and Beyond網(wǎng)絡(luò)公開度
書目名稱Geometry: Euclid and Beyond網(wǎng)絡(luò)公開度學(xué)科排名
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書目名稱Geometry: Euclid and Beyond被引頻次學(xué)科排名
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書目名稱Geometry: Euclid and Beyond年度引用學(xué)科排名
書目名稱Geometry: Euclid and Beyond讀者反饋
書目名稱Geometry: Euclid and Beyond讀者反饋學(xué)科排名
作者: 橡子 時(shí)間: 2025-3-21 22:36 作者: 記憶 時(shí)間: 2025-3-22 04:19
Electrification Phenomena in Rocksdecessors Pythagoras, Theaetetus, and Eudoxus into one magnificent edifice. This book soon became the standard for geometry in the classical world. With the decline of the great civilizations of Athens and Rome, it moved eastward to the center of Arabic learning in the court of the caliphs at Baghda作者: alcohol-abuse 時(shí)間: 2025-3-22 06:32
https://doi.org/10.1007/978-981-10-3026-0way of recording ruler and compass constructions so that we can measure their complexity. We discuss what are presumably familiar notions from high school geometry as it is taught today. And then we present Euclid’s construction of the regular pentagon and discuss its proof.作者: tattle 時(shí)間: 2025-3-22 09:18
Surface Thermodynamics of Solid Electrode,ient by modern standards of rigor to supply the foundation for Euclid‘s geometry. This will mean also axiomatizing those arguments where he used intuition, or said nothing. In particular, the axioms for betweenness, based on the work of Pasch in the 1880s, are the most striking innovation in this se作者: Collision 時(shí)間: 2025-3-22 15:36
https://doi.org/10.1007/978-1-4684-3497-2d. The axioms of incidence are valid over any field (Section 14). For the notion of betweenness we need an ordered field (Section 15). For the axiom (C1) on transferring a line segment to a given ray, we need a property (*) on the existence of certain square roots in the field .. To carry out Euclid作者: Collision 時(shí)間: 2025-3-22 17:36
https://doi.org/10.1007/978-3-030-04591-3 geometries over fields studied in Chapter 3. We will show how to define addition and multiplication of line segments in a Hilbert plane satisfying the parallel axiom (P). In this way, the congruence equivalence classes of line segments become the positive elements of an ordered field . (Section 19)作者: BLOT 時(shí)間: 2025-3-22 21:25
Electroacoustical Reference Datang that two figures have equal content if we can transform one figure into the other by adding and subtracting congruent triangles (Section 22). We can prove all the properties of area that Euclid uses, except that “the whole is greater than the part.” This is established only when we relate the geo作者: Verify 時(shí)間: 2025-3-23 03:52
https://doi.org/10.1007/978-3-7091-6211-8Because of the construction of the field of segment arithmetic, one could even argue that the use of fields in Chapter 4 arises naturally from the geometry. In this chapter, however, we will make use of modern algebra, the theory of equations and field extensions, and in particular the Galois theory作者: 思想上升 時(shí)間: 2025-3-23 05:46
https://doi.org/10.1007/978-1-4899-1715-7nd developed in all its glory by Bolyai and Lobachevsky. The purpose of this chapter is to give an account of this theory, but we do not always follow the historical development. Rather, with hindsight we use those methods that seem to shed the most light on the subject. For example, continuity argu作者: 委派 時(shí)間: 2025-3-23 12:48
Transmission Lines for Conducting Polymers,the four elements, earth, air, fire, water, and the whole universe. Euclid begins his . with the construction of an equilateral triangle (I.1) and ends in Book XIII with the construction of these regular solids. It has been suggested that Euclid’s purpose in writing the . was to fully elucidate the 作者: 陰謀 時(shí)間: 2025-3-23 16:27
Electrification Phenomena in Rocksdecessors Pythagoras, Theaetetus, and Eudoxus into one magnificent edifice. This book soon became the standard for geometry in the classical world. With the decline of the great civilizations of Athens and Rome, it moved eastward to the center of Arabic learning in the court of the caliphs at Baghdad.作者: fender 時(shí)間: 2025-3-23 21:01 作者: 變異 時(shí)間: 2025-3-24 00:49 作者: 使厭惡 時(shí)間: 2025-3-24 06:24 作者: 蒙太奇 時(shí)間: 2025-3-24 10:15
Introduction,decessors Pythagoras, Theaetetus, and Eudoxus into one magnificent edifice. This book soon became the standard for geometry in the classical world. With the decline of the great civilizations of Athens and Rome, it moved eastward to the center of Arabic learning in the court of the caliphs at Baghdad.作者: NOT 時(shí)間: 2025-3-24 14:38
,Euclid’s Geometry,way of recording ruler and compass constructions so that we can measure their complexity. We discuss what are presumably familiar notions from high school geometry as it is taught today. And then we present Euclid’s construction of the regular pentagon and discuss its proof.作者: tic-douloureux 時(shí)間: 2025-3-24 15:08 作者: 有限 時(shí)間: 2025-3-24 19:20 作者: 起波瀾 時(shí)間: 2025-3-24 23:29 作者: SPURN 時(shí)間: 2025-3-25 04:32
978-1-4419-3145-0Robin Hartshorne 2000作者: 迅速飛過 時(shí)間: 2025-3-25 09:33 作者: Limpid 時(shí)間: 2025-3-25 11:54 作者: 危險(xiǎn) 時(shí)間: 2025-3-25 18:32 作者: 茁壯成長(zhǎng) 時(shí)間: 2025-3-25 20:59 作者: Nostalgia 時(shí)間: 2025-3-26 03:23
Geometry over Fields,d. The axioms of incidence are valid over any field (Section 14). For the notion of betweenness we need an ordered field (Section 15). For the axiom (C1) on transferring a line segment to a given ray, we need a property (*) on the existence of certain square roots in the field .. To carry out Euclid作者: 拍翅 時(shí)間: 2025-3-26 05:45 作者: 接觸 時(shí)間: 2025-3-26 11:25
Area,ng that two figures have equal content if we can transform one figure into the other by adding and subtracting congruent triangles (Section 22). We can prove all the properties of area that Euclid uses, except that “the whole is greater than the part.” This is established only when we relate the geo作者: 不規(guī)則 時(shí)間: 2025-3-26 12:46 作者: fabricate 時(shí)間: 2025-3-26 18:02 作者: Malleable 時(shí)間: 2025-3-26 22:00
Polyhedra,the four elements, earth, air, fire, water, and the whole universe. Euclid begins his . with the construction of an equilateral triangle (I.1) and ends in Book XIII with the construction of these regular solids. It has been suggested that Euclid’s purpose in writing the . was to fully elucidate the 作者: Armada 時(shí)間: 2025-3-27 02:09 作者: 決定性 時(shí)間: 2025-3-27 07:32
Segment Arithmetic,e parallel axiom (P). In this way, the congruence equivalence classes of line segments become the positive elements of an ordered field . (Section 19). Using this field . we can recover the usual theory of similar triangles (Section 20).作者: CHASM 時(shí)間: 2025-3-27 09:54 作者: Prostatism 時(shí)間: 2025-3-27 16:47
Construction Problems and Field Extensions,metry. In this chapter, however, we will make use of modern algebra, the theory of equations and field extensions, and in particular the Galois theory, as it developed in the late nineteenth and early twentieth centuries.作者: 預(yù)知 時(shí)間: 2025-3-27 19:12 作者: Hiatal-Hernia 時(shí)間: 2025-3-28 00:40
0172-6056 xperience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid‘s Elements. Students are expected to read concurrently Books I-IV of Euclid‘s text, which must be obtained sepa- rately. The remainder of the book is an explo作者: Lymphocyte 時(shí)間: 2025-3-28 03:46
https://doi.org/10.1007/978-1-4684-3497-2C1) on transferring a line segment to a given ray, we need a property (*) on the existence of certain square roots in the field .. To carry out Euclidean constructions, we need a slightly stronger property (**)-see Section 16.作者: Antagonist 時(shí)間: 2025-3-28 06:46
https://doi.org/10.1007/978-3-030-04591-3e parallel axiom (P). In this way, the congruence equivalence classes of line segments become the positive elements of an ordered field . (Section 19). Using this field . we can recover the usual theory of similar triangles (Section 20).作者: overrule 時(shí)間: 2025-3-28 12:08 作者: 最小 時(shí)間: 2025-3-28 17:53 作者: Ejaculate 時(shí)間: 2025-3-28 20:05 作者: 毀壞 時(shí)間: 2025-3-29 00:08
