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The Thirteen Books Of The Elements

Author: Euclid
Publisher: Dover Publications
ISBN: 9780486600888
Size: 75.26 MB
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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.

The Thirteen Books Of Euclid S Elements

Author: Euclid
Publisher: Dover Pubns
ISBN:
Size: 22.81 MB
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Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.

A Source Book In Mathematics

Author: David Eugene Smith
Publisher: Courier Corporation
ISBN: 0486158292
Size: 30.16 MB
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The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century — most unavailable elsewhere.

The Mathematics Of Games Of Strategy

Author: Melvin Dresher
Publisher: Courier Corporation
ISBN: 048664216X
Size: 64.48 MB
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A noted research mathematician explores decision making in the absence of perfect information. His clear presentation of the mathematical theory of games of strategy encompasses applications to many fields, including economics, military, business, and operations research. No advanced algebra or non-elementary calculus occurs in most of the proofs.

Elements Of The Theory Of Functions And Functional Analysis

Author: Andre? Nikolaevich Kolmogorov
Publisher: Courier Corporation
ISBN: 9780486406831
Size: 44.43 MB
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Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

Elements Of The Theory Of Functions

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486601544
Size: 43.41 MB
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General background: complex numbers, linear functions, sets and sequences, conformal mapping. Detailed proofs.

The Geometry Of Ren Descartes

Author: René Descartes
Publisher: Courier Corporation
ISBN: 0486158179
Size: 37.70 MB
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The great work that founded analytical geometry. Includes the original French text, Descartes' own diagrams, and the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.

An Introduction To The Theory Of Elasticity

Author: R. J. Atkin
Publisher: Courier Corporation
ISBN: 0486150992
Size: 71.43 MB
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Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.