- published: 04 Oct 2009
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Chicago (i/ʃᵻˈkɑːɡoʊ/ or /ʃᵻˈkɔːɡoʊ/) is the third most populous city in the United States. With over 2.7 million residents, it is the most populous city in the state of Illinois and the Midwest. The Chicago metropolitan area, often referred to as Chicagoland, has nearly 10 million people and is the third-largest in the U.S. Chicago is the seat of Cook County.
Chicago was incorporated as a city in 1837, near a portage between the Great Lakes and the Mississippi River watershed, and grew rapidly in the mid-nineteenth century. The city is an international hub for finance, commerce, industry, technology, telecommunications, and transportation: O'Hare International Airport is the busiest airport in the world when measured by aircraft traffic; it also has the largest number of U.S. highways and rail road freight. In 2012, Chicago was listed as an alpha global city by the Globalization and World Cities Research Network, and ranked seventh in the world in the 2014 Global Cities Index.As of 2014, Chicago had the third largest gross metropolitan product in the United States at US$610.5 billion.
The University of Chicago (U of C, Chicago, or UChicago) is a private research university in Chicago. The university, established in 1890, consists of The College, various graduate programs, interdisciplinary committees organized into four academic research divisions and seven professional schools. Beyond the arts and sciences, Chicago is also well known for its professional schools, which include the Pritzker School of Medicine, the University of Chicago Booth School of Business, the Law School, the School of Social Service Administration, the Harris School of Public Policy Studies, the Graham School of Continuing Liberal and Professional Studies and the Divinity School. The university currently enrolls approximately 5,000 students in the College and around 15,000 students overall.
University of Chicago scholars have played a major role in the development of various academic disciplines, including: the Chicago school of economics, the Chicago school of sociology, the law and economics movement in legal analysis, the Chicago school of literary criticism, the Chicago school of religion, and the behavioralism school of political science. Chicago's physics department helped develop the world's first man-made, self-sustaining nuclear reaction beneath the university's Stagg Field. Chicago's research pursuits have been aided by unique affiliations with world-renowned institutions like the nearby Fermilab and Argonne National Laboratory, as well as the Marine Biological Laboratory. The university is also home to the University of Chicago Press, the largest university press in the United States. With an estimated completion date of 2020, the Barack Obama Presidential Center will be housed at the University of Chicago and include both the Obama presidential library and offices of the Obama Foundation.
Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers),structure,space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.
Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.
The School Mathematics Project is a developer of mathematics textbooks for secondary schools, based in Southampton in the UK.
Now generally known as SMP, it began as a research project inspired by a 1961 conference chaired by Bryan Thwaites at the University of Southampton, which itself was precipitated by calls to reform mathematics teaching in the wake of the Sputnik launch by the Soviet Union, the same circumstances which prompted the wider New Math movement. It maintains close ties with the Collaborative Group for Research in Mathematics Education at the university.
SMP was revolutionary in its approach as it kindled fascination in students for mathematics, moving many away from an earlier rejection of mathematics brought on by more rigid and traditional approaches. Instead of dwelling on traditional areas such as arithmetic and geometry, SMP dwelt on set theory, graph theory and logic. It taught non-cartesian co-ordinate systems, matrix mathematics, affine transforms, vectors and non-decimal number systems.
Robert Fefferman, Dean of the University of Chicago, talks about his beloved Mathematics Department.
If you experience any technical difficulties with this video or would like to make an accessibility-related request, please send a message to digicomm@uchicago.edu. Eugenia Cheng, a mathematician who also is a concert pianist, describes how a mathematical breakthrough enabled Johann Sebastian Bach to write “The Well-Tempered Clavier” (1722). Cheng is a visiting senior lecturer in mathematics at the University of Chicago.
If you experience any technical difficulties with this video or would like to make an accessibility-related request, please send a message to digicomm@uchicago.edu. Alumni Weekend 2012 UnCommon Core June 1, 2012 Infinity and Beyond Bob Fefferman Max Mason Distinguished Service Professor in the Department of Mathematics and Dean of the Physical Sciences Division Weird things can happen with infinity—for one thing, it comes in different sizes. The concept of infinity has tantalized and sometimes troubled humankind for ages. In the 1600s, Galileo introduced a modern attitude toward the infinite by proposing that infinity should obey a different arithmetic from finite numbers. In late 19th century, German mathematician Georg Cantor put infinity on a firm logical foundation and demonstrated ...
A student-led introduction to undergraduate life at the University of Chicago brought to you by UChicago College Admissions. For more information or to apply, please visit: https://collegeadmissions.uchicago.edu/
Paul Sally presents several mathematical topics from the Core Curriculum Standards and the mathematical basis for understanding these standards. Topics include rational numbers, decimal expansions, greatest common divisors, prime factorization, and approaches to geometry. He outlines several strategies for dealing with each of these problems. This presentation was given in November 2012 at the NCTM Chicago regional conference.
Anne Agostinelli, a seventh- and eighth-grade Mathematics teacher at Haines Elementary School, speaks about the curriculum unit, “Fearless Problem Solvers Can ‘Express’ Themselves Mathematically,” she developed during the 2014 national seminar on “"Place Value, Fractions, and Algebra: Improving Content Learning through the Practice Standards.” Agostinelli discusses her experience during the Intensive Session, stating that “within our seminar we had teachers ranging from grades 2-12 so the collaboration was amazing.” She shares a video of the students who studied her curriculum unit. Follow the link below to access Anne Agonsinelli’s curriculum unit on the Yale National Initiative Web site: http://teachers.yale.edu/curriculum/viewer/initiative_14.05.06_u And follow this link to the vi...
Robert Fefferman, Dean of the University of Chicago, talks about his beloved Mathematics Department.
If you experience any technical difficulties with this video or would like to make an accessibility-related request, please send a message to digicomm@uchicago.edu. Eugenia Cheng, a mathematician who also is a concert pianist, describes how a mathematical breakthrough enabled Johann Sebastian Bach to write “The Well-Tempered Clavier” (1722). Cheng is a visiting senior lecturer in mathematics at the University of Chicago.
If you experience any technical difficulties with this video or would like to make an accessibility-related request, please send a message to digicomm@uchicago.edu. Alumni Weekend 2012 UnCommon Core June 1, 2012 Infinity and Beyond Bob Fefferman Max Mason Distinguished Service Professor in the Department of Mathematics and Dean of the Physical Sciences Division Weird things can happen with infinity—for one thing, it comes in different sizes. The concept of infinity has tantalized and sometimes troubled humankind for ages. In the 1600s, Galileo introduced a modern attitude toward the infinite by proposing that infinity should obey a different arithmetic from finite numbers. In late 19th century, German mathematician Georg Cantor put infinity on a firm logical foundation and demonstrated ...
A student-led introduction to undergraduate life at the University of Chicago brought to you by UChicago College Admissions. For more information or to apply, please visit: https://collegeadmissions.uchicago.edu/
Paul Sally presents several mathematical topics from the Core Curriculum Standards and the mathematical basis for understanding these standards. Topics include rational numbers, decimal expansions, greatest common divisors, prime factorization, and approaches to geometry. He outlines several strategies for dealing with each of these problems. This presentation was given in November 2012 at the NCTM Chicago regional conference.
Anne Agostinelli, a seventh- and eighth-grade Mathematics teacher at Haines Elementary School, speaks about the curriculum unit, “Fearless Problem Solvers Can ‘Express’ Themselves Mathematically,” she developed during the 2014 national seminar on “"Place Value, Fractions, and Algebra: Improving Content Learning through the Practice Standards.” Agostinelli discusses her experience during the Intensive Session, stating that “within our seminar we had teachers ranging from grades 2-12 so the collaboration was amazing.” She shares a video of the students who studied her curriculum unit. Follow the link below to access Anne Agonsinelli’s curriculum unit on the Yale National Initiative Web site: http://teachers.yale.edu/curriculum/viewer/initiative_14.05.06_u And follow this link to the vi...
First part of Beer Skits '03 (aka, Best Beer Skits Ever). University of Chicago Mathematics.
If you experience any technical difficulties with this video or would like to make an accessibility-related request, please send a message to digicomm@uchicago.edu. This is the first in a series of lectures in the seminar “Combinatorics and Theoretical Computer Science: The Local Certificates Algorithm” at the University of Chicago, given by László Babai, the George and Elizabeth Yovovich Professor in the Departments of Computer Science and Mathematics at the University of Chicago. The lecture took place on November 10, 2015.
Louis H. Kauffman, University of Illinois at Chicago, Dept. of Mathematics "Iterants, Fermions and the Dirac Equation - Part 2" Abstract: See part 1 The more complicated quantum topology is addressed in Part 2.
Algebraic Topology July 2016 Mathematics Department University of Chicago Categorical language and the axiomatization of homology Homotopy groups, Freudenthal suspension, and the EHP sequence
Madhav Nori University of Chicago; Member, School of Mathematics December 2, 2014 Problems analogous to Bloch's conjecture, and some tentative methods of attacking them, will be discussed. More videos on http://video.ias.edu
If you experience any technical difficulties with this video or would like to make an accessibility-related request, please send a message to digicomm@uchicago.edu. This is the second in a series of lectures in the seminar “Combinatorics and Theoretical Computer Science: The Design Lemma” at the University of Chicago, given by László Babai, the George and Elizabeth Yovovich Professor in the Departments of Computer Science and Mathematics at the University of Chicago. The lecture took place on November 24, 2015.
Albert Einstein is widely considered to be the greatest genius of all time. But in the final decades of his life, he was mostly ignored by his colleagues. Writer David Bodanis explores the genius and hubris of the titan of modern science. Watch the Q&A;: https://youtu.be/q9B539L3drw Subscribe for regular videos like this: http://bit.ly/RiSubscRibe Widely considered the greatest genius of all time, Albert Einstein revolutionized our understanding of the cosmos with his general theory of relativity and helped to lead us into the atomic age. Yet in the final decades of his life he was also ignored by most working scientists, his ideas opposed by even his closest friends. Bestselling author of E=mc², David Bodanis, discusses Einstein's Greatest Mistake, a brisk, accessible biography of Albert...
From the 2017 Schubertiade hosted by Pianoforte Studios in Chicago. Host: Steve Robinson introduces and interviews pianist & mathematics professor Eugenia Cheng. -- Watch live at https://www.twitch.tv/classicalcast
This presentation was recorded at GOTO Chicago 2015 http://gotochgo.com Tom Stuart - Author, Understanding Computation ABSTRACT Every aspect of our lives has been transformed by the invention of general-purpose programmable computers. As a result, it's tempting to believe that computers can solve any logical or mathematical problem; that if we throw [...] Download slides and read the full abstract here: http://gotocon.com/chicago-2015/presentation/Impossible%20Programs https://twitter.com/gotochgo https://www.facebook.com/GOTOConference http://gotocon.com
Date: Tuesday, May 15, 2007 - 10:00 a.m. Location: 2318 Rayburn House Office Building Subcommittee on Research and Science Education Hearing: Federal STEM Education Programs: Educators' Perspectives Witnesses: Ms. Linda Froschauer, President, National Science Teachers Association Mr. Michael Lach, Director of Mathematics and Science, Chicago Public Schools Dr. George D. Nelson, Director, Science, Technology, and Mathematics Education, Western Washington University Mr. Van Reiner, President, Maryland Science Center Dr. Iris Weiss, President, Horizon Research, Inc. 110th Congress