Synopsis
"An admirable introduction to the rigorous theory of the continuum."—Science Progress
"Extremely readable . . . a clear axiomatically constructed introduction."—Elemente der Mathematik
This classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, this text requires no knowledge of higher mathematics. Contents include a historical introduction and chapters on classes in general; simply ordered classes, or series; discrete series, especially the type of the natural numbers; dense series, especially the type of the rational numbers; continuous series, especially the type of the real numbers; continuous series of more than one dimension, with a note on multiply ordered classes; and well ordered series, with an introduction to Cantor's transfinite numbers. 1917 edition. 119 footnotes, mostly bibliographical.
"Extremely readable . . . a clear axiomatically constructed introduction."—Elemente der Mathematik
This classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, this text requires no knowledge of higher mathematics. Contents include a historical introduction and chapters on classes in general; simply ordered classes, or series; discrete series, especially the type of the natural numbers; dense series, especially the type of the rational numbers; continuous series, especially the type of the real numbers; continuous series of more than one dimension, with a note on multiply ordered classes; and well ordered series, with an introduction to Cantor's transfinite numbers. 1917 edition. 119 footnotes, mostly bibliographical.
"synopsis" may belong to another edition of this title.
About the Author
E. V. Huntington (1874–1952) taught at Harvard from 1901 until his retirement in 1941. He was President of the Mathematical Association of America in 1919 and at different times an officer of the American Mathematical Society and the American Association for the Advancement of Science.
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for The Continuum and Other Types of Serial Order (Dover...
Stock Image
The Continuum and Other Types of Serial Order (Dover Phoenix Editions)
Seller: HPB-Emerald, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
hardcover. Condition: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_451595262
Stock Image
The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers
Published by
Mineola, New York, U.S.A.: Dover Pubns, 2003
ISBN 10: 0486495507
ISBN 13: 9780486495507
Used
Hardcover
Seller: Bingo Used Books, Vancouver, WA, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Fine. hardback in fine condition. Seller Inventory # 127976
Stock Image
Continuum, The: With an Introduction to Cantor's Transfinite Numbers
Seller: Victoria Bookshop, BERE ALSTON, DEVON, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: Good+. 2nd. 8vo. Book. Seller Inventory # 24494
Buy Used
US$ 8.59
Shipping:
US$ 13.13
From United Kingdom to U.S.A.
Quantity: 1 available
Seller Image
The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers
Published by
Dover Publications, Inc., Mineola, New York, U.S.A., 2003
ISBN 10: 0486495507
ISBN 13: 9780486495507
Used
Hardcover
First Edition
Seller: Book Booth, Berea, OH, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Very Good. Second Edition. minor wear, vii + 82 pages including index, reprint of a 1917 title on the theory that underlies the definition of irrational numbers Size: 5.75 x 9. Seller Inventory # 026335