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Experimentation in Mathematics
New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of
Mathematics by Experiment
This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational P
Gems in Experimental Mathematics
These proceedings reflect the special session on Experimental Mathematics held January 5, 2009, at the Joint Mathematics Meetings in Washington, DC as well as some papers specially solicited for this volume. Experimental Mathematics is a recently structured field of Mathematics that uses the computer and advanced computing technology as a tool to perform experiments. These include the analysis of examples, testing of new ideas, and the search of patterns to suggest results and to complement existing analytical rigor. The development of a broad spectrum of mathematical software products, such as MathematicaR and MapleTM, has allowed mathematicians of diverse backgrounds and interests to use the computer as an essential tool as part of their daily work environment. This volume reflects a wide range of topics related to the young field of Experimental Mathematics. The use of computation varies from aiming to exclude human input in the solution of a problem to traditional mathematical questions for which computation is a prominent tool.
Directory of Research in Physics/astronomy at Primarily Undergraduate Institutions
To increase faculty participation and to recognize the strategic educational position held by undergraduate research, scholarship, and creative activities (URSCA) in many institutions, faculty mentorship of undergraduate students needs to be valued as a standard component of workload and formally included in activity reports and evaluations, including those that lead to reappointment, tenure, and promotion. This white paper presents the need for recognition of faculty mentorship of URSCA, recommends best practices for institutions to adopt, offers a selection of case studies where some of these practices are already established, and summarizes the challenges ahead.
Scientific Reflections - Paperback
Scientific reflections is a compendium of the author's scientific papers spanning three decades. The book should be of interest to any reader who is fascinated by the interplay between fields of scientific thought. The topics herein range from fundamental physical experiments to algorithm development to computational science to pure mathematics. Each book part is given a preamble, while each paper is prefaced with discussion and challenges, all of this by the author himself.
The Detroit Lawyer
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