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3000 Years of Analysis
What exactly is analysis? What are infinitely small or infinitely large quantities? What are indivisibles and infinitesimals? What are real numbers, continuity, the continuum, differentials, and integrals? You’ll find the answers to these and other questions in this unique book! It explains in detail the origins and evolution of this important branch of mathematics, which Euler dubbed the “analysis of the infinite.” A wealth of diagrams, tables, color images and figures serve to illustrate the fascinating history of analysis from Antiquity to the present. Further, the content is presented in connection with the historical and cultural events of the respective epochs, the lives of the scholars seeking knowledge, and insights into the subfields of analysis they created and shaped, as well as the applications in virtually every aspect of modern life that were made possible by analysis.
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The Polymath
The first history of the western polymath, from the fifteenth century to the present day From Leonardo Da Vinci to John Dee and Comenius, from George Eliot to Oliver Sacks and Susan Sontag, polymaths have moved the frontiers of knowledge in countless ways. But history can be unkind to scholars with such encyclopaedic interests. All too often these individuals are remembered for just one part of their valuable achievements. In this engaging, erudite account, renowned cultural historian Peter Burke argues for a more rounded view. Identifying 500 western polymaths, Burke explores their wide-ranging successes and shows how their rise matched a rapid growth of knowledge in the age of the invention of printing, the discovery of the New World and the Scientific Revolution. It is only more recently that the further acceleration of knowledge has led to increased specialisation and to an environment that is less supportive of wide-ranging scholars and scientists. Spanning the Renaissance to the present day, Burke changes our understanding of this remarkable intellectual species.
Tom Swift and the Electronic Hydrolung
Tom Swift, Jr., and his friend, Bud Barclay, try to recover a missile, which was mysteriously thrown off course, containing valuable data from Jupiter.
The History of the Priority Di∫pute between Newton and Leibniz
This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into rThe Early Challengesnd the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. From the epilogue to the German edition by Eberhard Knobloch:Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book. Quod erat demonstrandum!
Hyperbolic Problems: Theory, Numerics, Applications
Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concer...
Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws
The book focuses on stability and approximation results concerning recent numerical methods for the numerical solution of hyperbolic conservation laws. The work begins with a detailed and thorough introduction of hyperbolic conservation/balance laws and their numerical treatment. In the main part, recent results in such context are presented focusing on the investigation of approximation properties of discontinuous Galerkin and flux reconstruction methods, the construction of (entropy) stable numerical methods and the extension of existing (entropy) stability results for both semidiscrete and fully discrete schemes, and development of new high-order methods.
Research Reports - National Geographic Society
Abstracts and reviews of research and exploration authorized under grants from the National Geographic Society.
Remapping Energopolitics
Emerging concerns and contexts of geological thinking seek to bring out how energopolitical interventions into the geokinetic "unfolding" of the Earth assume new dimensions and directions, owing to the complex and evolving intersections between "folds" and "fluxes" of energy in the context of oceans. Written in negotiation with the notion of energopolitics articulated by Dominic Boyer, Remapping Energopolitics calls for ruling out any epistemic attempt to structure the rhizomatic movements of energy through the transformations of oceans. Aiming to delve deeper into the complex junctures among energy, ocean and earth(ing), epistemic ends of Blue Humanities are reworked with the help of geophilosophical reading of some Sri Lankan minor writings and in doing so, Remapping Energopolitics makes a series of attempts to reconceptualize "energy thinking" in line with the differential and deterritorial grammatology of Deleuzo-Guattarian micropolitics, thereby offering a critique of the structured and stratified understandings of "energy linkages".
