In Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincaré-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws.This timely synthesis of partial differential equations and differential geometry will be of fundamental importance to both students and experienced researchers working in geometric analysis.

Exterior Differential Systems and Euler-Lagrange Partial Differential Equations (Chicago Lectures in Mathematics)

Science & Math

Daniel Grossman

Phillip Griffiths

Robert L. Bryant

Mathematics

University of Chicago Press

Research in most scientific disciplines calls for painstaking accuracy and a hesitation to generalize for fear of distorting the truth. Given this penchant for nuance, scientists often feel uneasy about a relationship with anyone in the media who is seeking an eye-catching lead, usually with limited space to express subtleties. Researchers who give interviews often feel that their findings are distorted or sensationalized, and shun future media contact. By avoiding potential misrepresentations, however, scientists also sacrifice opportunities to educate the public on important issues related to health, the environment, outer space, and much more.In A Scientist's Guide to Talking with the Media, Richard Hayes and Daniel Grossman draw on their expertise in public relations and journalism to empower researchers in a variety of fields to spread their message on their own terms. The authors provide tips on how to translate abstract concepts into concrete metaphors, craft soundbites, and prepare for interviews. For those looking for a higher profile, the authors explain how to become a reporter's trusted source-the first card in the Rolodex-on controversial issues.A must-read for all scientists, this book shows how it is possible for the discoveries that hibernate in lecture halls and academic journals to reach a broader audience in a way that is accurate and effective.

A Scientist's Guide To Talking With The Media: Practical Advice from the Union of Concerned Scientists

Richard Hayes

Rutgers University Press

Research in most scientific disciplines calls for painstaking accuracy and a hesitation to generalize for fear of distorting the truth. Given this penchant for nuance, scientists often feel uneasy about a relationship with anyone in the media who is seeking an eye-catching lead, usually with limited space to express subtleties. Researchers who give interviews often feel that their findings are distorted or sensationalized, and shun future media contact. By avoiding potential misrepresentations, however, scientists also sacrifice opportunities to educate the public on important issues related to health, the environment, outer space, and much more. In A Scientist's Guide to Talking with the Media, Richard Hayes and Daniel Grossman draw on their expertise in public relations and journalism to empower researchers in a variety of fields to spread their message on their own terms. The authors provide tips on how to translate abstract concepts into concrete metaphors, craft soundbites, and prepare for interviews. For those looking for a higher profile, the authors explain how to become a reporter's trusted source-the first card in the Rolodex-on controversial issues. A must-read for all scientists, this book shows how it is possible for the discoveries that hibernate in lecture halls and academic journals to reach a broader audience in a way that is accurate and effective.

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Books by Daniel Grossman