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Author: G. Takeuti
Publisher: Springer Science & Business Media
ISBN: 1461381681
Category : Mathematics
Languages : en
Pages : 251
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Book Description
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high lighted, and second, the student who wishes to master the subject is com pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.
Author: G. Takeuti
Publisher: Springer Science & Business Media
ISBN: 1461381681
Category : Mathematics
Languages : en
Pages : 251
Get Book Here
Book Description
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high lighted, and second, the student who wishes to master the subject is com pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.
Author: Stephen Kantrowitz
Publisher: Penguin
ISBN: 0143123440
Category : History
Languages : en
Pages : 530
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Book Description
A major new account of the Northern movement to establish African Americans as full citizens before, during, and after the Civil War In More Than Freedom, award-winning historian Stephen Kantrowitz offers a bold rethinking of the Civil War era. Kantrowitz show how the fight to abolish slavery was always part of a much broader campaign by African Americans to claim full citizenship and to remake the white republic into a place where they could belong. More Than Freedom chronicles this epic struggle through the lives of black and white abolitionists in and around Boston, including Frederick Douglass, Senator Charles Sumner, and lesser known but equally important figures. Their bold actions helped bring about the Civil War, set the stage for Reconstruction, and left the nation forever altered.
Author:
Publisher:
ISBN:
Category : Folklore
Languages : en
Pages :
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Book Description
Provides access to citations of journal articles, books, and dissertations published on modern languages, literatures, folklore, and linguistics. Coverage is international and subjects include literature, language and linguistics, literary theory, dramatic arts, folklore, and film since 1963. Special features include the full text of the original article for some citations and a collection of images consisting of photographs, maps, and flags.
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1040
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Book Description
Author: Kathleen Weidner Zoehfeld
Publisher: Astra Publishing House
ISBN: 1635923956
Category : Juvenile Nonfiction
Languages : en
Pages : 34
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Book Description
EUREKA! Great things happen when science crosses history! Discover the all-true stories of your favorite inventions with this new multicultural STEM series that takes readers on a journey through time and around the world. A perfect choice for kids ages 4–8 who love to figure out how things work! Electric lights--without them, we'd be in the dark! Here is a "biography" of the light bulb, an essential invention that lights up our days and nights. From the first spark of Thomas Alva Edison's idea to the spread of electric lights around the world, Light Bulb is a fun and informative look at an invention that makes a huge difference in our lives. This STEAM nonfiction title is part of the new Eureka! series, each book covering one groundbreaking, world-changing discovery that millions of people use every single day.
Author: Ellsberg, Robert
Publisher: Orbis Books
ISBN: 1608337863
Category : Biography & Autobiography
Languages : en
Pages : 236
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Book Description
Author: Thomas Settles
Publisher: LSU Press
ISBN: 0807149624
Category : Biography & Autobiography
Languages : en
Pages : 363
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Book Description
Of all the major figures of the Civil War era, Confederate general John Bankhead Magruder is perhaps the least understood. The third-ranking officer in Virginia's forces behind Robert E. Lee and Joseph E. Johnston, Magruder left no diary, no completed memoirs, no will, not even a family Bible. There are no genealogical records and very few surviving personal papers. Unsurprisingly, then, much existing literature about Magruder contains incorrect information. In John Bankhead Magruder, an exhaustive biography that reflects more than thirty years of painstaking archival research, Thomas M. Settles remedies the many factual inaccuracies surrounding this enigmatic man and his military career. Settles traces Magruder's family back to its seventeenth-century British American origins, describes his educational endeavors at the University of Virginia and West Point, and details his early military career and his leading role as an artillerist in the war with Mexico. Tall, handsome, and flamboyant, Magruder earned the nickname "Prince John" from his army friends and was known for his impeccable manners and social brilliance. When Virginia seceded in April of 1861, Prince John resigned his commission in the U.S. Army and offered his services to the Confederacy. Magruder won the opening battle of the Civil War at Big Bethel. Later, in spite of severe shortages of weapons and supplies and a lack of support from Jefferson Davis, Judah P. Benjamin, Samuel Cooper, and Joseph E. Johnston, Prince John, with just 13,600 men, held his position on the Peninsula for a month against George B. McClellan's 105,000-man Federal army. This successful stand, at a time when Richmond was exceedingly vulnerable, provided, according to Settles, John Magruder's greatest contribution to the Confederacy. Following the Seven Days' battles, however, his commanders harshly criticized Magruder for being too slow at Savage Station, then too rash at Malvern Hill and they transferred him to command the District of Texas, New Mexico, and Arizona. In Texas, he skillfully recaptured the port of Galveston in early 1863 and held it for the Confederacy until the end of the war. After the war, he joined the Confederate exodus to Mexico but eventually returned to the United States, living in New York City and New Orleans before settling in Houston, where he died on February 18, 1871. John Bankhead Magruder offers fresh insight into many aspects of the general's life and legacy, including his alleged excesses, his family relationships, and the period between Magruder's death and his memorialization into the canon of Lost Cause mythology. With engaging prose and impressive research, Settles brings this vibrant Civil War figure to life.
Author: William Swan Stallybrass (formerly Sonnenschein.)
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 142
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Book Description
Author: National Aviation Education Council (U.S.)
Publisher:
ISBN:
Category : Space flight
Languages : en
Pages : 44
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Book Description
Author: Allan Nevins
Publisher:
ISBN:
Category : United States
Languages : en
Pages : 326
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Book Description
