An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.

* A New York Times Book Review Notable Book of the Year * A San Francisco Chronicle, Kansas City Star, St. Louis Post-Dispatch, New Hampshire Public Radio, Flavorwire, Vol. 1 Brooklyn, Largehearted Boy, and Slaughterhouse 90210 Best Book of the Year * * A New York Times Book Review Editors' Choice * One of The Millions's Most Anticipated Books of 2013 * Mary and Eddie are meant for each other—but love is no guarantee, not in these suburbs. Like all children, they exist in an eternal present; time is imminent, and the adults of the street live in their assorted houses like numbers on a clock. Meanwhile, ominous rumors circulate, and the increasing agitation of the neighbors points to a future in which all will be lost. Soon a sorcerer's car will speed down Mary's street, and as past and future fold into each other, the resonant parenthesis of her girlhood will close forever. Beyond is adulthood, a world of robots and sorcerers, slaves and masters, bodies without souls. In Duplex, Kathryn Davis, whom the Chicago Tribune has called "one of the most inventive novelists at work today," has created a coming-of-age story like no other. Once you enter the duplex—that magical hinge between past and future, human and robot, space and time—there's no telling where you might come out.

A clear, concise introduction to the quickly growing field of complexity science that explains its conceptual and mathematical foundations What is a complex system? Although "complexity science" is used to understand phenomena as diverse as the behavior of honeybees, the economic markets, the human brain, and the climate, there is no agreement about its foundations. In this introduction for students, academics, and general readers, philosopher of science James Ladyman and physicist Karoline Wiesner develop an account of complexity that brings the different concepts and mathematical measures applied to complex systems into a single framework. They introduce the different features of complex systems, discuss different conceptions of complexity, and develop their own account. They explain why complexity science is so important in today's world.

Easily accessible Includes recent developments Assumes very little knowledge of differentiable manifolds and functional analysis Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Is there a "science of history"? Must historians be scientists? What is "history" anyway? Celebrated researchers and historians--including Pulitzer-Prize winner John Lewis Gaddis and Nobel laureate Murray Gell-Mann--debate these complex questions in this thoughtful collection of essays.