Author: Felix Hausdorff
Publisher: American Mathematical Soc.
Release Date: 2005
Georg Cantor, the founder of set theory, published his last paper on sets in 1897. In 1900, David Hilbert made Cantor's Continuum Problem and the challenge of well-ordering the real numbers the first problem in his famous Paris lecture. It was time for the appearance of the second generation of Cantorians. They emerged in the decade 1900-1909, and foremost among them were Ernst Zermelo and Felix Hausdorff. Zermelo isolated the Choice Principle, proved that every set could be well-ordered, and axiomatized the concept of set. He became the father of abstract set theory. Hausdorff eschewed foundations and pursued set theory as part of the mathematical arsenal. He was recognized as the era's leading Cantorian. From 1901-1909, Hausdorff published seven articles in which he created a representation theory for ordered sets and investigated sets of real sequences partially ordered by eventual dominance, together with their maximally ordered subsets. These papers are translated and appear in this volume. Each is accompanied by an introductory essay. These highly accessible works are of historical significance, not only for set theory, but also for model theory, analysis and algebra.
Author: Sanford L. Segal
Publisher: Princeton University Press
Release Date: 2014-11-23
Contrary to popular belief--and despite the expulsion, emigration, or death of many German mathematicians--substantial mathematics was produced in Germany during 1933-1945. In this landmark social history of the mathematics community in Nazi Germany, Sanford Segal examines how the Nazi years affected the personal and academic lives of those German mathematicians who continued to work in Germany. The effects of the Nazi regime on the lives of mathematicians ranged from limitations on foreign contact to power struggles that rattled entire institutions, from changed work patterns to military draft, deportation, and death. Based on extensive archival research, Mathematicians under the Nazis shows how these mathematicians, variously motivated, reacted to the period's intense political pressures. It details the consequences of their actions on their colleagues and on the practice and organs of German mathematics, including its curricula, institutions, and journals. Throughout, Segal's focus is on the biographies of individuals, including mathematicians who resisted the injection of ideology into their profession, some who worked in concentration camps, and others (such as Ludwig Bieberbach) who used the "Aryanization" of their profession to further their own agendas. Some of the figures are no longer well known; others still tower over the field. All lived lives complicated by Nazi power. Presenting a wealth of previously unavailable information, this book is a large contribution to the history of mathematics--as well as a unique view of what it was like to live and work in Nazi Germany.
Author: Alfred Clebsch
Publisher: Palala Press
Release Date: 2018-02-16
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: David E. Rowe
Publisher: Academic Pr
Release Date: 1989-12-28
Key Features * Mathematical institutions in France and Germany and their role in promoting applications * Relationship between mathematics and physics * Foundations of mathematics * Complex variable theory, geometry and topology * Geometry in the spirit of Klein's Erlangen program * Algebra and number theory * Formative influences on mathematics in the United States
Author: Lewis Samuel Feuer
Publisher: Transaction Publishers
Release Date: 1982
This absorbing intellectual history vividly recreates the unique social, political, and philosophical milieu in which the extraordinary promise of Einstein and scientific contemporaries took root and flourished into greatness. Feuer shows us that no scientific breakthrough really happens by chance; it takes a certain intellectual climate, a decisive tension within the very fabric of society, to spur one man's potential genius into world-shaking achievement. Feuer portrays such men of high imaginative powers as Einstein, Bohr, Heisenberg, de Broglie, influenced by and influencing the social worlds in which they lived.
Author: Robert E. Schofield
Publisher: Princeton University Press
Release Date: 2015-03-08
Robert Schofield explores the rational elements of British experimental natural philosophy in the 18th century by tracing the influence of two opposing concepts of the nature of matter and its action—mechanism and materialism. Both concepts rested on the Newtonian interpretation of their proponents, although each developed more or less independently. By integrating the developments in all the areas of experimental natural philosophy, describing their connections and the influences of Continental science, natural theology, and to a lesser degree social and institutional changes, the author demonstrates that mechanistic concepts dominated interpretations from about 1687 to 1740, when they were replaced by materialistic concepts. A revival of the mechanistic approach early in the next century made England a fertile field for ideas on the dynamic interaction of forces. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
The Microwave Processing of Foods, Second Edition, has been updated and extended to include the many developments that have taken place over the past 10 years. Including new chapters on microwave assisted frying, microwave assisted microbial inactivation, microwave assisted disinfestation, this book continues to provide the basic principles for microwave technology, while also presenting current and emerging research trends for future use development. Led by an international team of experts, this book will serve as a practical guide for those interested in applying microwave technology. Provides thoroughly up-to-date information on the basics of microwaves and microwave heating Discusses the main factors for the successful application of microwaves and the main problems that may arise Includes current and potential future applications for real-world application as well as new research and advances Includes new chapters on microwave-assisted frying, microbial inactivation, and disinfestation
Author: Gerald A. Edgar
Publisher: Westview Press
Release Date: 2003-08-07
Fractals are an important topic in such varied branches of science as mathematics, computer science, and physics. Classics on Fractals collects for the first time the historic papers on fractal geometry, dealing with such topics as non-differentiable functions, self-similarity, and fractional dimension. Of particular value are the twelve papers that have never before been translated into English. Commentaries by Professor Edgar are included to aid the student of mathematics in reading the papers, and to place them in their historical perspective. The volume contains papers from the following: Cantor, Weierstrass, von Koch, Hausdorff, Caratheodory, Menger, Bouligand, Pontrjagin and Schnirelmann, Besicovitch, Ursell, Levy, Moran, Marstrand, Taylor, de Rahm, Kolmogorov and Tihomirov, Kiesswetter, and of course, Mandelbrot.
Extending the shelf-life of foods whilst maintaining safety and quality is a critical issue for the food industry. As a result there have been major developments in food preservation techniques, which are summarised in this authoritative collection. The first part of the book examines the key issue of maintaining safety as preservation methods become more varied and complex. The rest of the book looks both at individual technologies and how they are combined to achieve the right balance of safety, quality and shelf-life for particular products. Provides an authoritative review of the development of new and old food preservation technologies and the ways they can be combined to preserve particular foods Examines the emergence of a new generation of natural preservatives in response to consumer concerns about synthetic additives Includes chapters on natural antimicrobials, bacteriocins and antimicrobial enzymes, as well as developments in membrane filtration, ultrasound and high hydrostatic pressure
Author: Barbara Obermeier
Publisher: John Wiley & Sons
Release Date: 2014-11-17
Make ordinary photos extraordinary with Photoshop Elements 13 Whether you prefer to snap shots on your smartphone or never leave home without your DSLR, chances are you have way more photos than you ever dreamed possible. With the help of Photoshop Elements 13 All-in-One For Dummies, you can edit those photos and turn them into stunning works of art. The book will help you get to know the key features of Photoshop Elements, including examining the Elements workspace; navigating the tools; viewing images on your computer; setting your preferences; and acquiring, saving, and exporting images. You'll then take your skills to next level and become a pro at working with iOS and Android devices, specifying resolution and changing image sizing, choosing color modes and file formats, working with Camera Raw, using and managing color, painting and drawing with Elements, creating layers, and so much more. Plus, you'll discover how to add pizzazz with styles and effects, apply quick image makeovers, correct lighting, color, and clarity, and composite with Photomerge. Photoshop Elements is the #1-selling consumer photo editing software, and Adobe continues to add innovative features that allow digital photography enthusiasts to do it all. Going well beyond the basics of how to use Photoshop Elements—and weighing in at more than 672 pages—Photoshop Elements 13 All-in-One For Dummies is the most comprehensive Elements book on the market. Written by Barbara Obermeier and Ted Padova, veteran authors, long-time instructors, and expert speakers who have spent decades specializing in digital imaging, this hands-on, friendly guide is jam-packed with everything you need to create, edit, fix, share, and organize digital images. Combines nine content-rich books in one value-packed reference Includes updated and revised information to reflect the latest release, Photoshop Elements 13 Richly illustrated in full color and brimming with easy-to-follow, step-by-step instructions Explains how to enhance your images by adjusting color, brightness, resolution, contrast, and sharpness Whether you're an amateur photographer or new to the digital photo scene and want to perform sophisticated editing techniques with a powerful image-editing software program, Photoshop Elements 13 All-in-One For Dummies has everything you need—and more.