The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements
Title The Thirteen Books of Euclid's Elements PDF eBook
Author Thomas L. Heath
Publisher Cambridge University Press
Pages 447
Release 2015-02-12
Genre History
ISBN 1107480426

Download The Thirteen Books of Euclid's Elements Book in PDF, Epub and Kindle

First published in 1926, this book contains the first volume of a three-volume English translation of the thirteen books of Euclid's Elements.




The Thirteen Books of the Elements, Vol. 2

The Thirteen Books of the Elements, Vol. 2
Title The Thirteen Books of the Elements, Vol. 2 PDF eBook
Author Euclid
Publisher Dover Publications
Pages 468
Release 1956-06-01
Genre Mathematics
ISBN 9780486600895

Download The Thirteen Books of the Elements, Vol. 2 Book in PDF, Epub and Kindle

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.




Euclid's Elements

Euclid's Elements
Title Euclid's Elements PDF eBook
Author Euclid
Publisher
Pages 544
Release 2002
Genre Mathematics
ISBN

Download Euclid's Elements Book in PDF, Epub and Kindle

The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy sewn hardcover student and teacher edition in one volume, with minimal notes and a new index/glossary.




The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements
Title The Thirteen Books of Euclid's Elements PDF eBook
Author Euclid
Publisher Courier Corporation
Pages 468
Release 1956-01-01
Genre Mathematics
ISBN 0486600882

Download The Thirteen Books of Euclid's Elements Book in PDF, Epub and Kindle

Contains the complete English text of all thirteen books of the "Elements," along with critical analysis of each definition, postulate, and proposition.




Thermodynamics of Small Systems, Parts I & II

Thermodynamics of Small Systems, Parts I & II
Title Thermodynamics of Small Systems, Parts I & II PDF eBook
Author Terrell L. Hill
Publisher Courier Corporation
Pages 417
Release 2013-10-17
Genre Science
ISBN 0486783170

Download Thermodynamics of Small Systems, Parts I & II Book in PDF, Epub and Kindle

Authoritative summary introduces basics, explores environmental variables, examines binding on macromolecules and aggregation, and includes brief summaries of electric and magnetic fields, spherical drops and bubbles, and polydisperse systems. 1963 and 1964 editions.




Elementary Matrix Algebra

Elementary Matrix Algebra
Title Elementary Matrix Algebra PDF eBook
Author Franz E. Hohn
Publisher Courier Corporation
Pages 562
Release 2013-02-19
Genre Mathematics
ISBN 0486143724

Download Elementary Matrix Algebra Book in PDF, Epub and Kindle

This complete and coherent exposition, complemented by numerous illustrative examples, offers readers a text that can teach by itself. Fully rigorous in its treatment, it offers a mathematically sound sequencing of topics. The work starts with the most basic laws of matrix algebra and progresses to the sweep-out process for obtaining the complete solution of any given system of linear equations — homogeneous or nonhomogeneous — and the role of matrix algebra in the presentation of useful geometric ideas, techniques, and terminology. Other subjects include the complete treatment of the structure of the solution space of a system of linear equations, the most commonly used properties of determinants, and linear operators and linear transformations of coordinates. Considerably more material than can be offered in a one-semester course appears here; this comprehensive volume by Franz E. Hohn, Professor of Mathematics at the University of Illinois for many years, provides instructors with a wide range of choices in order to meet differing interests and to accommodate students with varying backgrounds.




Chebyshev Polynomials

Chebyshev Polynomials
Title Chebyshev Polynomials PDF eBook
Author Theodore J. Rivlin
Publisher Courier Dover Publications
Pages 271
Release 2020-08-12
Genre Mathematics
ISBN 0486842339

Download Chebyshev Polynomials Book in PDF, Epub and Kindle

This survey of the most important properties of Chebyshev polynomials encompasses several areas of mathematical analysis: • Interpolation theory • Orthogonal polynomials • Approximation theory • Numerical integration • Numerical analysis • Ergodic theory Starting with some definitions and descriptions of elementary properties, the treatment advances to examinations of extremal properties, the expansion of functions in a series of Chebyshev polynomials, and iterative properties. The final chapter explores selected algebraic and number theoretic properties of the Chebyshev polynomials. For advanced undergraduates and graduate students in mathematics Originally published in 1974, the text was updated in 1990; this reprint of the second edition corrects various errors and features new material.