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Author: G. Takeuti Publisher: Springer Science & Business Media ISBN: 1461381681 Category : Mathematics Languages : en Pages : 251
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
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
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: Wade Davies Publisher: Scarecrow Press ISBN: 0810862360 Category : History Languages : en Pages : 648
Book Description
American Indian Sovereignty and Law: An Annotated Bibliography covers a wide variety of topics and includes sources dealing with federal Indian policy, federal and tribal courts, criminal justice, tribal governance, religious freedoms, economic development, and numerous sub-topics related to tribal and individual rights. While primarily focused on the years 1900 to the present, many sources are included that focus on the 19th century or earlier. The annotations included in this reference will help researchers know enough about the arguments and contents of each source to determine its usefulness. Whenever a clear central argument is made in an article or book, it is stated in the entry, unless that argument is made implicit by the title of that entry. Each annotation also provides factual information about the primary topic under discussion. In some cases, annotations list topics that compose a significant portion of an author's discussion but are not obvious from the title of the entry. American Indian Sovereignty and Law will be extremely useful in both studying Native American topics and researching current legal and political actions affecting tribal sovereignty.
Author: G. Takeuti
Author: G. Takeuti
Author: Stephen Kantrowitz
Author: Allan R Millett
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Author: United States. Public Health Service
Author: United States. Bureau of the Census
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Author: Wade Davies