18284 books match the query 'United States' and 1653 start with a

cover of Axiomatics: Mathematical Thought and High Modernism

Axiomatics

Mathematical Thought and High Modernism

Alma Steingart

University of Chicago Press, 2023

The first history of postwar mathematics, offering a new interpretation of the rise of abstraction and axiomatics in the twentieth century.

Why did abstraction dominate American art, social science, and natural science in the mid-twentieth century? Why, despite opposition, did abstraction and theoretical knowledge flourish across a diverse set of intellectual pursuits during the Cold War? In recovering the centrality of abstraction across a range of modernist projects in the United States, Alma Steingart brings mathematics back into the conversation about midcentury American intellectual thought. The expansion of mathematics in the aftermath of World War II, she demonstrates, was characterized by two opposing tendencies: research in pure mathematics became increasingly abstract and rarified, while research in applied mathematics and mathematical applications grew in prominence as new fields like operations research and game theory brought mathematical knowledge to bear on more domains of knowledge. Both were predicated on the same abstractionist conception of mathematics and were rooted in the same approach: modern axiomatics. 

For American mathematicians, the humanities and the sciences did not compete with one another, but instead were two complementary sides of the same epistemological commitment. Steingart further reveals how this mathematical epistemology influenced the sciences and humanities, particularly the postwar social sciences. As mathematics changed, so did the meaning of mathematization. 

Axiomatics focuses on American mathematicians during a transformative time, following a series of controversies among mathematicians about the nature of mathematics as a field of study and as a body of knowledge. The ensuing debates offer a window onto the postwar development of mathematics band Cold War epistemology writ large. As Steingart’s history ably demonstrates, mathematics is the social activity in which styles of truth—here, abstraction—become synonymous with ways of knowing. 
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cover of Aztalan: Mysteries of an Ancient Indian Town

Aztalan

Mysteries of an Ancient Indian Town

Robert A. Birmingham and Lynne Goldstein

Wisconsin Historical Society Press, 2006

Aztalan has remained a mystery since the early nineteenth century when it was discovered by settlers who came to the Crawfish River, fifty miles west of Milwaukee. Who were the early indigenous people who inhabited this place? When did they live here? Why did they disappear?

Birmingham and Goldstein attempt to unlock some of the mysteries, providing insights and information about the group of people who first settled here in 1100 AD. Filled with maps, drawings, and photographs of artifacts, this small volume examines a time before modern Native American people settled in this area.
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cover of Aztlán Arizona: Mexican American Educational Empowerment, 1968–1978

Aztlán Arizona

Mexican American Educational Empowerment, 1968–1978

Darius V. Echeverría

University of Arizona Press, 2014

Aztlán Arizona is a history of the Chicano Movement in Arizona in the 1960s and 1970s. Focusing on community and student activism in Phoenix and Tucson, Darius V. Echeverría ties the Arizona events to the larger Chicano and civil rights movements against the backdrop of broad societal shifts that occurred throughout the country. Arizona’s unique role in the movement came from its (public) schools, which were the primary source of Chicano activism against the inequities in the judicial, social, economic, medical, political, and educational arenas.

The word Aztlán, originally meaning the legendary ancestral home of the Nahua peoples of Mesoamerica, was adopted as a symbol of independence by Chicano/a activists during the movement of the 1960s and 1970s.  In an era when poverty, prejudice, and considerable oppositional forces blighted the lives of roughly one-fifth of Arizonans, the author argues that understanding those societal realities is essential to defining the rise and power of the Chicano Movement.

The book illustrates how Mexican American communities fostered a togetherness that ultimately modified larger Arizona society by revamping the educational history of the region. The concluding chapter outlines key Mexican American individuals and organizations that became politically active in order to address Chicano educational concerns. This Chicano unity, reflected in student, parent, and community leadership organizations, helped break barriers, dispel the Mexican American inferiority concept, and create educational change that benefited all Arizonans.

No other scholar has examined the emergence of Chicano Movement politics and its related school reform efforts in Arizona. Echeverría’s thorough research, rich in scope and interpretation, is coupled with detailed and exact endnotes. The book helps readers understand the issues surrounding the Chicano Movement educational reform and ethnic identity. Equally important, the author shows how residual effects of these dynamics are still pertinent today in places such as Tucson.
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