Author: Richard Fitzpatrick

Publisher: Lulu.com

ISBN: 1430319747

Category: Mathematics

Page: 368

View: 7872

Euclid's Elements is the most famous mathematical work of classical antiquity, and has had a profound influence on the development of modern Mathematics and Physics. This volume contains the definitive Ancient Greek text of J.L. Heiberg (1883), together with an English translation. For ease of use, the Greek text and the corresponding English text are on facing pages. Moreover, the figures are drawn with both Greek and English symbols. Finally, a helpful Greek/English lexicon explaining Ancient Greek mathematical jargon is appended. Volume III contains Book 10, and covers incommesurable magnitudes.
Read More

Author: Ian Mueller

Publisher: Courier Corporation

ISBN: 0486150879

Category: Mathematics

Page: 400

View: 9801

This text provides an understanding of the classical Greek conception of mathematics as expressed in Euclid's Elements. It focuses on philosophical, foundational, and logical questions and features helpful appendixes.
Read More

Author: Richard Fitzpatrick

Publisher: Lulu.com

ISBN: 0615179843

Category: Mathematics

Page: 548

View: 8132

Euclid's Elements of Geometry, with Greek and English texts in side-by-side columns.
Read More

Author: Jacob Klein

Publisher: Courier Corporation

ISBN: 0486319814

Category: Mathematics

Page: 384

View: 3273

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th–16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. This brought about the crucial change in the concept of number that made possible modern science — in which the symbolic "form" of a mathematical statement is completely inseparable from its "content" of physical meaning. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography.
Read More

Author: Thomas L. Heath

Publisher: Cambridge University Press

ISBN: 1108062806

Category: Performing Arts

Page: 256

View: 5691

From its beginnings in Babylonian and Egyptian theories, through its flowering into revolutionary ideas such as heliocentricity, astronomy proved a source of constant fascination for the philosophers of antiquity. In ancient Greece, the earliest written evidence of astronomical knowledge appeared in the poems of Homer and Hesiod. In the present work, first published in 1932, Sir Thomas Little Heath (1861-1940) collects some of the most notable essays and discussions of astronomical theory by Greek astronomers and mathematicians, presenting them in English translation for the modern reader. With chronological coverage, Heath's book features a thorough introduction, a doxography of what ancient authors said about the earliest theorists and longer excerpts exploring fundamental ideas. Among the pieces are extracts from Plato's Republic and Ptolemy's work on the impossibility of a moving Earth, alongside material from Aristotle, Euclid, Strabo, Plutarch and others.
Read More

Viz. the First Six Books, Together with the Eleventh and Twelfth, the Errors by which Theon Or Others Have Long Ago Vitiated These Books are Corrected, and Some of Euclid's Demonstrations are Restored : Also the Book of Euclid's Data in Like Manner Corrected

Author: Euclid,Robert Simson

Publisher: N.A

ISBN: N.A

Category: Euclid's Elements

Page: 520

View: 2309

Read More

Author: Terrell L. Hill

Publisher: Courier Corporation

ISBN: 0486783170

Category: Science

Page: 416

View: 1396

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.
Read More

Author: A. Y. Khinchin

Publisher: Courier Corporation

ISBN: 0486316319

Category: Mathematics

Page: 128

View: 4706

Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. Prerequisites include a familiarity with the theory of probability and mathematical analysis. 1960 edition.
Read More

Author: Martin Davis

Publisher: Courier Corporation

ISBN: 0486315819

Category: Mathematics

Page: 128

View: 7459

Designed for undergraduate mathematics majors, this self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and more. 1966 edition.
Read More

The Ancient World and Classical Civilization

Author: David Deming

Publisher: McFarland

ISBN: 0786456574

Category: Science

Page: 275

View: 1511

Science is a living, organic activity, the meaning and understanding of which have evolved incrementally over human history. This book, the first in a roughly chronological series, explores the development of the methodology and major ideas of science, in historical context, from ancient times to the decline of classical civilizations around 300 A.D. It includes details specific to the histories of specialized sciences including astronomy, medicine and physics—along with Roman engineering and Greek philosophy. It closely describes the contributions of such individuals as Pythagoras, Hippocrates, Socrates, Plato, Aristotle, Alexander the Great, Euclid, Archimedes, Ptolemy, Seneca, Pliny the Elder, and Galen.
Read More

Author: Terrell L. Hill

Publisher: Courier Corporation

ISBN: 0486681092

Category: Science

Page: 210

View: 7638

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.
Read More

Author: John Stillwell

Publisher: Springer Science & Business Media

ISBN: 144196052X

Category: Mathematics

Page: 662

View: 5084

From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.
Read More

Author: Euclid,Sir Thomas Little Heath

Publisher: Courier Corporation

ISBN: 9780486600901

Category: Mathematics

Page: 560

View: 2847

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

The Story of Geometry from Parallel Lines to Hyperspace

Author: Leonard Mlodinow

Publisher: Simon and Schuster

ISBN: 9781439135372

Category: Science

Page: 320

View: 3236

Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.
Read More