Monotonicity Rules in Calculus

Abstract

Click to increase image sizeClick to decrease image size Additional informationNotes on contributorsGlen AndersonGLEN ANDERSON graduated from Drury University and was awarded a Woodrow Wilson Fellowship for graduate study at the University of Michigan. He received his Ph.D. in Mathematics from the University of Michigan in 1965, writing his thesis under the supervision of Frederick W. Gehring. He retired as professor of mathematics in 2000 from Michigan State University. He has been collaborating in research with Vamanamurthy since 1969 and with Vuorinen since 1985. The three of them have written many papers and a book together. Glen enjoys travel, church activities, and classical music, and sometimes accompanies his clarinetist wife on the piano or organ.Mavina VamanamurthyMAVINA VAMANAMURTHY came to the University of Michigan as a Fulbright Scholar from India. He completed his Ph.D. in Mathematics in 1969 from the University of Michigan under the supervision of Frederick W. Gehring. He retired from the University of Auckland in 2000 as associate professor of mathematics, after teaching for nearly thirty years. He has published in the areas of complex analysis, general topology, and classical analysis, and has had numerous coauthors. He enjoys sports and likes to play tennis, table tennis, and badminton with his colleagues. He is also involved in regular community broadcasting on ethnic radio in the Kannada language and is active in a nonsectarian prayer group.Matti VuorinenMATTI VUORINEN received his Ph.D. from the University of Helsinki under the supervision of Jussi Väisälä and Olli Martio in 1977. Employed by the Academy of Finland, he worked as a research fellow in 1979–85 and 1994–1999 and an advanced research fellow in 1990–91, 2000, and 2006–07. He has held research fellowships at the Institute Mittag-Leffler (Sweden) and the University of Michigan, and an Alexander von Humboldt fellowship in Germany. He has been fortunate to participate in joint research with about forty coauthors from all over the world. He worked at the University of Helsinki for nearly thirty years, holding several fixed-term professorships since 1986 and supervising six Ph.D. theses. In 2003 he was appointed to a professorship at the University of Turku, where he currently works. His research and teaching interests include classical analysis and the use of computers in mathematics instruction. He enjoys recreational sports and outdoor activities.