A History of Mathematics.
Boyer, Carl B.:
From Fundus-Online GbR Borkert Schwarz Zerfaß, Berlin, Germany
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Quantity: 1From Fundus-Online GbR Borkert Schwarz Zerfaß, Berlin, Germany
AbeBooks Seller Since October 18, 2005
Quantity: 1About this Item
XV, 717 p.: Ill. Lediglich der Einband ist leicht berieben, sonst ein gutes und sauberes Exemplar / Only the cover is slightly rubbed, otherwise a good and clean copy. - Contents Chapter I. Primitive Origins 1 The concept of number. 2 Early number bases. 3 Number language and the origin of counting. 4 Origin of geometry. Chapter II. Egypt 1 Early records. 2 Hieroglyphic notation. 3 Ahmes papyrus. 4 Unit fractions. 5 Arithmetic operations. 6 Algebraic problems. 7 Geometrical problems. 8 A trigonometric ratio. 9 Moscow papyrus. 10 Mathematical weaknesses. Chapter III. Mesopotamia 1 Cuneiform records. 2 Positional numeration. 3 Sexagesimal fractions. 4 Fundamental operations. 5 Algebraic problems. 6 Quadratic equations. 7 Cubic equations. 8 Pythagorean triads. 9 Polygonal areas. 10 Geometry as applied arithmetic. 11 Mathematical weaknesses. Chapter IV. Ionia and the Pythagoreans 1 Greek origins. 2 Thales of Miletus. 3 Pythagoras of Samos. 4 The Pythagorean pentagram. 5 Number mysticism. 6 Arithmetic and cosmology. 7 Figurate numbers. 8 Proportions. 9 Attic numeration. 10 Ionian numeration. 11 Arithmetic and logistic. Chapter V. The Heroic Age 1 Centers of activity. 2 Anaxagoras of Clazomenae. 3 Three famous problems. 4 Quadrature of lunes. 5 Continued proportions. 6 Hippias of Ellis. 7 Philolaus and Archytas of Tarentum. 8 Duplication of the cube. 9 Incommensurability. 10 The golden section. 11 Paradoxes of Zeno. 12 Deductive reasoning. 13 Geometrical algebra. 14 Democritus of Abdera. Chapter VI. The Age of Plato and Aristotle 1 The seven liberal arts. 2 Socrates. 3 Platonic solids. 4 Theodorus of Cyrene. 5 Platonic arithmetic and geometry. 6 Origin of analysis. 7 Eudoxus of Cnidus. 8 Method of exhaustion. 9 Mathematical astronomy. 10 Menaech- mus. 11 Duplication of the cube. 12 Dinostratus and the squaring of the circle. 13 Autolycus of Pitane. 14 Aristotle. 15 End of the Hellenic period. Chapter VII. Euclid of Alexandria 1 Author of the Elements. 2 Other works. 3 Purpose of the Elements. 4 Definitions and postulates. 5 Scope of Book I. 6 Geometrical algebra. 7 Books III and IV. 8 Theory of proportion. 9 Theory of numbers. 10 Prime and perfect numbers. 11 Incommensurability. 12 Solid geometry. 13 Apocrypha. 14 Influence of the Elements. Chapter VIII. Archimedes of Syracuse I The siege of Syracuse. 2 Law of the lever. 3 The hydrostatic principle. 4 The Sand-Reckoner. 5 Measurement of the circle. 6 Angle trisection. 7 Area of a parabolic segment. 8 Volume of a paraboloidal segment. 9 Segment of a sphere. 10 On the Sphere and Cylinder. 11 Book of Lemmas. 12 Semiregular solids and trigonometry. 13 The Method. 14 Volume ofa sphere. 15 Recovery of the Method. Chapter IX. Apollonius of Perga 1 Lost works. 2 Restorations of lost works. 3 The problem of Apollonius. 4 Cycles and epicycles. 5 The Conics. 6 Names of the conic sections. 7 The double-napped cone. 8 Fundamental properties. 9 Conjugate diameters. 10 Tangents and harmonic division. 11 The three-and-four-line locus. 12 Intersecting conics. 13 Maxima and minima, tangents and normals. 14 Similar conics. 15 Foci of conics. 16 Use of coordinates. Chapter X. Greek Trigonometry and Mensuration 1 Early trigonometry. 2 Aristarchus of Samos. 3 Eratosthenes of Cyrene. 4 Hipparchus of Nicaea. 5 Menelaus of Alexandria. 6 Ptolemy s Almagest. 7 The 360 degree circle. 8 Construction of tables. 9 Ptolemaic astronomy. 10 Other works by Ptolemy. 11 Optics and astrology. 12 Heron of Alexandria. 13 Principle of least distance. 14 Decline of Greek mathematics. Chapter XI. Revival and Decline of Greek Mathematics 1 Applied mathematics. 2 Diophantus of Alexandria. 3 Nicomachus of Gerasa. 4 The Arithmetica of Diophantus. 5 Diophantine problems. 6 The place of Diophantus in algebra. 7 Pappus of A lexandria. 8 The Collection. 9 Theorems of Pappus. 10 The Pappus problem. 11 The Treasury of Analysis. 12 The Pappus-Guldin theorems. 13 Proclus of Alexandria. 14 Boethius. 15 End of the Alexandrian period. 16 T. Seller Inventory # 1224046
Bibliographic Details
Title: A History of Mathematics.
Publisher: Princeton University Press
Publication Date: 1985
Binding: Paperback.
Condition: Gut
About this title
The description for this book, A History of Mathematics, will be forthcoming.
From the origins of numbering to the future of computing, the authors strive for comprehensive examination and clear, simple explanations. Some of the math will daunt those who have never taken college-level courses (or have forgotten what they learned), but some of the more elaborate technical material can be skipped if needed. Especially helpful is the extensive timeline-appendix that proceeds from the beginning of time to the late 20th century. Whether you're using it to gain a better understanding of mathematics or to broaden your awareness of the historical record, A History of Mathematics will help you make sense of the wide world of numbers. --Rob Lightner
"About this title" may belong to another edition of this title.
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