2010
Department of
College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign Department of Mathematics University of Illinois at Urbana-Champaign 1409 West Green Street, Urbana, Illinois 61801 [email protected] ■ www.math.illinois.edu ■ Telephone: 217-333-3350 ■ Fax: 217-333-9576 Current Faculty
Ahlgren, Scott Hildebrand, A. J. Muncaster, Robert G. Ando, Matthew Hinkkanen, Aimo Nevins, Thomas Balogh, Jozsef Hundertmark, Dirk Nikolaev, Igor G. Bauer, Robert Hur, Vera Mikyoung Palmore, Julian Bergvelt, Maarten Ivanov, Sergei V. Rapti, Zoi Berndt, Bruce C. Jacobson, Sheldon Rezk, Charles Boca, Florin Johnson, Paul Reznick, Bruce Bradlow, Steven Junge, Marius Rosenblatt, Joseph M. Bronski, Jared Kapovich, Ilya Ruan, Zhong-Jin D'Angelo, John P. Katz, Sheldon Schenck, Hal DeVille, Lee Kedem, Rinat Solecki, Slawomir van den Dries, Lou Kerman, Ely Song, Renming Dutta, Sankar P. Kirr, Eduard-Wilhelm Sowers, Richard B. Dunfield, Nathan Kostochka, Alexandr Stolarsky, Kenneth B. Duursma, Iwan Laugesen, Richard S. Tolman, Susan Erdogan, Burak Leininger, Christopher Tumanov, Alexander Ford, Kevin Lerman, Eugene M. Tyson, Jeremy Francis, George K. Li, Xiaochun Tzirakis, Nikolaos Füredi, Zoltán Malkin, Anton West, Douglas B. Gorvett, Rick McCarthy, Randy Wu, Jang-Mei Haboush, William J. Merenkov, Sergiy Yong, Alexander Henson, C. Ward Miles, Joseph Zaharescu, Alexandru Herman, Richard Mineyev, Igor Zharnitsky, Vadim Monrad, Ditlev
This calendar was designed by Tori Corkery for the Department of Mathematics at the University of Illinois at Urbana-Champaign.
A great deal of research went into the making of this calendar. It would not have been possible without the help of the stupendous staff in the Mathematics Library: Tim Cole, Margaret Lewis, Becky Burner, Megan Hayes, and Norah Mazel; Mathematics Librarian Emerita Nancy Anderson; faculty member Bruce Reznick; and staff member Sara Nelson. My sincere thanks to all these people. We hope you enjoy tbis calendar as much as we enjoyed creating it. Tori Corkery
mathematics university of illinois www.math.illinois.edu
Because the University Library had outgrown its space in University Hall (now the site of the Illini Union), the university needed a new library building which was to be “more permanent and artistic than any other on campus.” Completed in 1897, Library Hall was designed by Nathan C. Ricker and James McLaren White. It served as the University Library from its inauguration in 1897 until 1927, with the library occupying the ground floor, a museum in the basement, and stacks and offices on the second floor. In 1897, the University Library had 30,190 volumes and 6,350 pamphlets. By 1908 the Library holdings had outgrown the available space, necessitating additions to the Library building in 1914 and 1919. In 1923 plans were made for a new library. The result, the current Main Library, was completed in 1926. With the University Library relocated to another building, the Mathematics Library and Mathematics Department along with the School of Law moved into Library Hall in 1927 and divided the space. The building was renamed Altgeld Hall in 1941 by a resolution of the Board of Trustees in memory of John P. Altgeld, governor of Illinois from 1893–1897. The School of Law moved into their own building in 1955 and since that time the Department of Mathematics and the Mathematics Library have called Altgeld Hall their home. The Mathematics Library occupies the major portion of what was the middle floor of the original Library Hall plus all of the 1914 addition. Altgeld Hall was added to the National Register of Historic Places in 1970. Columns, murals, and interior details as viewed from the upper balcony of the Reception Hall of Library Hall (now called Altgeld Hall). Photo (ca. 1910) courtesy of the University of Illinois Archives.
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24 25 26 27 28 29 30 31 Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
The mathematics collection is ranked as one of the top five in the country. Currently housing over 100,000 volumes and about
800 serials, the Mathematics
Library at the University of Illinois is noted worldwide for its outstanding research collections. It contains the most comprehensive collection of Russian mathematical works as well as one of the finest journal collections in terms of length of run and international coverage. The monograph collection is superb. As a national
Mathematics Document Delivery
Center, the Mathematics Library attempts to acquire all monographs reviewed in Mathematical Reviews
(from 1940 to date).
In 1870, the University Library contained 68 mathematical and astronomical books. In 1906, the
Mathematics Departmental Library opened in the Natural History
Building. A complete set of Crelle's
Journal was the first major addition to the library. Today, the
Mathematics Library owns Volume 1 (1826) though Volume 626 (2009) of this journal. The Mathematics Library grew from 1,900 volumes in 1910 to 12,950 in 1939. Once combined with the physics collections, the Mathematics Library became a separate unit in 1927 when it Circulation desk in the Mathematics Library. moved to Library Hall.
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Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
west lunette: The Laboratory of Minerva east lunette: The Forge of Vulcan
north lunette: Arcadia south lunette: The Sacred Wood of the Muses
Artist Newton Alonzo Wells created the four murals on the library walls depicting the University of Illinois’ four colleges in 1899. “The Sacred Wood of the Muses” (south lunette) represents Literature and Arts. It shows twenty-five figures representing poetry, art, music, and philosophy. “Arcadia” (north lunette) represents Agriculture. It shows harvestors at the end of the day, different stages of life, and the introduction of domestic animals. Science is represented by “The Laboratory of Minerva” (west lunette) with a standing figure, symbolic of science, surrounded by figures representing the major divisions of science. These divisions include mechanics, electricity, navigation, ship-building, chemistry, geology, and war. “The Forge of Vulcan” (east lunette) represents Engineering. It shows an immense steam hammer forging a huge steamer shaft. Two of the panels are 37 feet long and two are 22 feet long. Each is twelve feet high allowing for life-size figures. Wells painted with a mixture of oil paints and dissolved white wax that dried slowly and did not discolor. The murals were unveiled to the public on March 13, 1900.
Source: Muriel Scheinman, “Altgeld Hall, The Original Library Building at the University of Illinois: Its History, Architecture and Art.” Master’s Thesis, University of Illinois, 1969.
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Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
The University of Illinois Rare Book & Manuscript Library contains some 400 volumes related to mathematics and hosted the “Number Theory for the Millennium” exhibit in 2000. Diophantus is thought to have lived in the third century in Alexandria. His Arithmetica, written in classical Greek, contained 130 problems with their numerical solutions. Pierre Fermat (1601–1665) wrote his “last Problem” in the margins of the 1621 translation into Latin by Bachet, adding the memorable phrase: “I have discovered a truly marvellous proof which this margin is too narrow to contain. ” After his death, Fermat’s son published an edition of Bachet’s translation including his father’s marginal comments. This is the edition contained in the Rare Book & Manuscript Library. The Englishman Sir Isaac Newton (1643–1727) is generally considered the most influential scientist of the last 1000 years. His book The Method of Fluxions, the term referring to differential calculus, was written in 1671 in Latin, but not published until Girolamo Cardano (1501–1576). Artis this English translation in 1736. There magnae sive de regulis algebrae liber unus. is a convoluted history of the Nuremberg: 1545. controversy with Leibniz regarding the discovery of calculus, which this caption is too narrow to contain. Diophantus of Alexander (about 200– Girolamo Cardano (French Jerome about 284). Arithmetica. Toulouse: Cardan, Latin Hieronymus Cardanus) 1670. (1501–1576) was an Italian mathematician, physician, essayist, astrologer, gambler, and chess player. These images are reproduced courtesy He is best known today for publishing of the Rare Book & Manuscript Library, Tartaglia’s partial solution to the cubic University of Illinois at Urbana- equation as his own in his book Ars Champaign. Magna, shown here. There are many Isaac Newton (1643–1727). The Method of Fluxions and colorful stories about Cardano’s life, Infinite Series. London: 1736. most of which are best told at parties or other special gatherings.
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Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
The Mathematics Library takes great pride in the large, diverse collection of mathematics journals available to support faculty and student research. Currently, the Library subscribes to more than 800 print and electronic journals from 70 different countries around the world (highlighted in orange above).
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30 31 Memorial Day Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
The Mathematics Library’s Gift/Exchange Program has played a key role in building the Library’s collection of less well-known foreign journals, particularly from Eastern Europe and Asia. This program allows the Library to receive foreign mathematics journals published by other universities for free or in exchange for issues of The Illinois Journal of Mathematics, and its success is due primarily to the cooperation of members of the University of Illinois mathematics faculty. Faculty members attend international conferences and bring back journals that they donate to the Library or make contacts with whom they help the Library to set up an exchange agreement. International mathematicians who come to Illinois as visiting scholars, visiting faculty, or permanent faculty also often collaborate with the Library to set up an exchange with their home or parent institution. Nancy Anderson, Mathematics Librarian Emerita, additionally played a vital role in building the Library’s Gift/Exchange Program; during her tenure at the Mathematics Library, she was an officer in the International Federation of Library Associations, and she made many contacts there that are still sending materials to the Library under her name, ten years after her retirement. The success of the Gift/Exchange Program is due to the active participation of mathematics faculty and to Nancy Anderson’s dedication to diversifying the collection.
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Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
Altgeld Hall was designed by University of Illinois architecture faculty members Nathan C. Ricker and James M. White. The original rotunda, with its stained-glass, domed ceiling and suspended skylight, colonnaded arcades, portrait medallions, patterned wall designs, and mural decorations, was inspired by the grand court of the Berlin Royal Polytechnikum, where Ricker had studied some twenty years earlier. Many have said the rotunda resembles the throne room Brass patch of Neuschwanstein Castle in the Bavarian Alps of Germany. Newton Alonzo Wells painted the murals as well as the medallion portraits of “America’s greatest soldiers, statesmen and scholars” seen in a frieze extending around the first floor of the rotunda. He also painted the extravagant decorations above the arches, the fleur-de-lis patterns on the second floor walls, and the simulated mosaics in the vestibule. Virtually every capital, arch, frieze, wall and Throne room of Neuschwanstein Castle in medallion was embellished with Germany. gold made from “gold bronze laid with a medium called artificial pear oil, a volatile substance that leaves the metal with a luster equal to that of gold leaf.” Altgeld Hall, taken from second floor balcony.
Source: Muriel Scheinman, “Altgeld Hall, The Original Library Building at the University of Illinois: Its History, Architecture and Art.” Master’s Thesis, University of Illinois, 1969. Decoration above the arches in Altgeld Hall.
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Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
The stacks in the Mathematics Library are located behind the circulation desk. They are unusual in their construction and are an exemplary example of late 19th and early 20th-century styles in library engineering. Rather than the bookcases being supported by the floors, the floors in Altgeld Hall are supported by the bookcases. The entire bookstack is one three-dimensional steel frame structurally separate from the stone envelope that Close up of cast-iron standards. encloses it. The floor-to-floor height in the Altgeld bookstacks is no more than about seven feet. The original stacks built in 1897 were twenty-one feet high and divided into three stories. These original stacks could accommodate 90,000 volumes, but they were constructed in such a way to make expansion possible by adding two more stories to the stacks to make a total capacity of 150,000 volumes. With the 1914 addition to Altgeld Hall, the stacks were extended to the back. The stacks were again extended with the 1919 addition; however, most of this area has been remodeled into classroom and office space for the Department of Mathematics. The floors are made of glass because getting the maximum amount of light to bookshelves was a central problem for libraries before their total reliance on electric lighting. Even the treads on the stairs are made of glass.
Source: “Buildings and Bookstacks” by Henry Petroski, American Scientist, Vol. 87, No. 6. pp. 499–503 (1999). Photos by Kalev Leetaru.
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Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
It’s size and variety that count! The Mathematics Library contains more than 110,000 books and subscribes to about 800 print and electronic journals, making it one of the top five academic mathematics libraries in the United States. The Library has held this ranking for many years, and it owes the size and variety of its collection to the many interests of the mathematics faculty and their active involvement in the Library’s collection development. Faculty members often donate copies of books they have been sent or acquired at a conference or symposium to the Library, set up journal exchanges with other institutions, communicate with Library staff about journals the Library needs to have, and provide feedback on new materials, such as electronic books. Mathematics Library staff also strive to acquire as many books about mathematics as possible, purchasing books that support faculty and student research as well as popular books that stimulate curiosity and reveal the beauty of the discipline of mathematics.
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Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
As the famous mathematics librarian motto goes, “the library is the mathematician’s laboratory.”1 In an era when journals and books are increasingly online, the Mathematics Library continues to be a busy place of study and research. According to the University Library’s yearly statistical data on patron visits to departmental libraries, the Mathematics Library is consistently the sixth busiest library on campus. Library staff members know the mathematics faculty members who come in every day to look at new journal issues or peruse the New Books shelf, and graduate students are known to disappear into the Mathematics book stacks for long periods of time, emerging with a pile of books in hand and leaving piles of bound journals on the study carrels behind them. Teaching assistants use the Reading Room to work with undergraduates who also camp out there to work on homework, use the textbooks or past exams in the reserve collection, or dash in before or after class to check e-mail or print an assignment. Not just mathematics students use the Library—it is a popular study place for non- mathematics students as well. Even during the summer semester, the number of patron visits to the Mathematics Library averages around 200 per day; the total number of yearly visits hovers around 100,000. With 9 public computers, a scanner, U of I Wi-Fi, long study tables, and large windows that provide plenty of natural light, the Study room in Library Hall, ca. 1920 (the current Reading Room in Altgeld Hall). Photograph courtesy of the University of Illinois Archives. Mathematics Library remains a valuable space for students and faculty. 1 J. Sutherland Frame, “Department Libraries,” in Buildings and Facilities for the Mathematical Sciences, Conference Board of the Mathematical Sciences, Washington, D.C., 1963, 79–80.
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31 Halloween Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
Scanned image
As the electronic age has advanced, traditional print resources have migrated into electronic formats and the Mathematics Library collection has expanded to include both the local and the remote. The Mathematics Library subscribes to over 500 e-journals, collects e-books, and provides access to electronic indexes and databases which facilitate locating research articles. Historic print indexes Mathematical Reviews and Zentralblatt für Mathematik und ihre Grenzgebiete have online counterparts: MathSciNet and Zentralblatt MATH, respectively. The Mathematics Library provides access to both. The well-known monograph series Lecture Notes in Mathematics is available as both print books and e-books, with the Mathematics Library holding the titles in both formats to allow access in Photo of model whichever form is most convenient for the researcher. Many scholarly, peer-reviewed journals are now available both online and in print through the Mathematics Library, but other new journals are being created only as e-journals. Electronic resources not only enhance the future, but take a role in preserving the past. Through its website, the Mathematics Library facilitates access to historical archives and digitized copies of out-of-copyright works which are scanned to provide long term access to the historical body of mathematical research. Other resources like JSTOR contain, by agreement with publishers, scanned copies of print journals and allow for online full-text searching.
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Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu
mathematics university of illinois www.math.illinois.edu
The mathematics collection at the University of Illinois is ranked one of the top five in the country. Building up the mathematics collection has been the work of many people and different sources of funding including individual donations to the Mathematics Library. For example, during the Depression faculty members accepted salary cutbacks so that the library could continue to subscribe to needed journals.* In the 1950s a large bequest to the Mathematics Library was used to purchase rare mathematics volumes, including a 1579 edition of the first Italian text bearing the title Algebra (Bombelli, 1572).* Mathematics is far from a static field and in order to stay current, the library must continue to purchase new books and journals. With new advances in applied mathematics and the interdisciplinary nature of mathematics today, continuing to provide the resources mathematicians need remains a challenge. Many funds have been established by generous donors. If you would like to make a gift to the Mathematics Library, go online to www.math.illinois.edu/gifts/ or contact the Department of Mathematics.
*Source: “The Magnificent Mathematics Altgeld Hall. Photo by Hiram Paley. Collections,” Friendscript, Vol. 2, No. 4, Winter 1980–81.
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Department of mathematics • 1409 W. Green, Urbana, IL 61801 • Tel: (217) 333–3350 • e-mail: [email protected] • www.math.illinois.edu