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Author: Joel H. Shapiro
Publisher: American Mathematical Soc.
ISBN: 1470441160
Category : Mathematics
Languages : en
Pages : 240
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Book Description
This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.
Author: Joel H. Shapiro
Publisher: American Mathematical Soc.
ISBN: 1470441160
Category : Mathematics
Languages : en
Pages : 240
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Book Description
This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.
Author: David Goodstein
Publisher: W. W. Norton & Company
ISBN: 0393078930
Category : Science
Languages : en
Pages : 196
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Book Description
"Glorious."—Wall Street Journal Rescued from obscurity, Feynman's Lost Lecture is a blessing for all Feynman followers. Most know Richard Feynman for the hilarious anecdotes and exploits in his best-selling books "Surely You're Joking, Mr. Feynman!" and "What Do You Care What Other People Think?" But not always obvious in those stories was his brilliance as a pure scientist—one of the century's greatest physicists. With this book and CD, we hear the voice of the great Feynman in all his ingenuity, insight, and acumen for argument. This breathtaking lecture—"The Motion of the Planets Around the Sun"—uses nothing more advanced than high-school geometry to explain why the planets orbit the sun elliptically rather than in perfect circles, and conclusively demonstrates the astonishing fact that has mystified and intrigued thinkers since Newton: Nature obeys mathematics. David and Judith Goodstein give us a beautifully written short memoir of life with Feynman, provide meticulous commentary on the lecture itself, and relate the exciting story of their effort to chase down one of Feynman's most original and scintillating lectures.
Author: Paul Humphreys
Publisher: Routledge
ISBN: 1136668497
Category : Philosophy
Languages : en
Pages : 330
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Book Description
Although scientific models and simulations differ in numerous ways, they are similar in so far as they are posing essentially philosophical problems about the nature of representation. This collection is designed to bring together some of the best work on the nature of representation being done by both established senior philosophers of science and younger researchers. Most of the pieces, while appealing to existing traditions of scientific representation, explore new types of questions, such as: how understanding can be developed within computational science; how the format of representations matters for their use, be it for the purpose of research or education; how the concepts of emergence and supervenience can be further analyzed by taking into account computational science; or how the emphasis upon tractability--a particularly important issue in computational science--sheds new light on the philosophical analysis of scientific reasoning.
Author: Judith R. Goodstein
Publisher:
ISBN: 9781470438982
Category : Italy
Languages : en
Pages : 310
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Book Description
The life of Vito Volterra, one of the finest scientists and mathematicians Italy ever produced, spans the period from the unification of the Italian peninsula in 1860 to the onset of the Second World War-an era of unparalleled progress and unprecedented turmoil in the history of Europe. Born into an Italian Jewish family in the year of the liberation of Italy's Jewish ghettos, Volterra was barely in his twenties when he made his name as a mathematician and took his place as a leading light in Italy's modern scientific renaissance. By his early forties, he was a world-renowned mathematician, a.
Author: Judith Goodstein
Publisher: Plunkett Lake Press
ISBN:
Category : Science
Languages : en
Pages : 258
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Book Description
In November 1891, wealthy former abolitionist and Chicago politician Amos Throop founded a thoroughly undistinguished small college in Pasadena, California, which he named after himself. Millikan’s School is the history of this institution that stands today at the pinnacle of world academics, with 300 full-time faculty, nearly 1,000 undergraduate, 1,250 graduate students and 39 Caltech and alumni Nobel Prize recipients. Although Amos Throop — the name of the college was changed to Caltech in 1920 — could not have realized the importance of geography, the fact that Pasadena lay at the foot of Mount Wilson, was central to its success: astronomer George Ellery Hale built his telescope there in 1902, the finest at that time in the world. Later Hale joined the board of trustees of the struggling school and persuaded Arthur Amos Noyes, former president of MIT and the nation’s leading physical chemist, to join him in Pasadena. The third member of Caltech’s founding troika was renowned physicist Robert A. Millikan from the University of Chicago. The dedication of Caltech in 1920 and the proclamation of what it stood for in science and education set the stage for Millikan, who functioned as the school’s president, to bring the best and the brightest from all over the world — Theodore von Kármán in aeronautics, Thomas Hunt Morgan in biology, Paul Sophus Epstein in physics, Beno Gutenberg in seismology, Linus Pauling in chemistry — to Pasadena to work in an ever larger number of areas in science and technology. The book also covers the funding, planning and construction of the 200-inch telescope on Palomar Mountain, Willy Fowler’s work in nuclear astrophysics and the wartime rocket experiments that grew into the Jet Propulsion Laboratory (JPL), today the world leader in deep-space exploration. “Millikan’s School presents an interesting and thoroughly reliable account of the astonishing change over a period of a few years of a small technical school in Pasadena, California, into one of the world’s leading scientific institutions. “ — Linus Pauling “In Millikan’s School, Judith Goodstein tells the remarkable story of the rise of Caltech... She details how Millikan, aided by Hale and Arthur Amos Noyes, America’s leading physical chemist and another of Hale’s inspired acquisitions, took a former trade school and forged from it a ‘grandiose university among the orange groves’... It would be impossible, while reading Goodstein’s lively account, not to be impressed by the energy, drive and boundless enthusiasm of men like Millikan, Hale and Noyes... [who] had the bare-faced audacity to set about building an institute to rival the cream of the universities of Europe and America.” — Marcus Chown, New Scientist “[Goodstein’s] story is first and foremost the tale of three men: the astronomer George Ellery Hale, the chemist Alfred Noyes, and the physicist Robert Millikan. It is the story of their attempts to transform an undistinguished little school founded in 1891... into a world-class scientific establishment... [A] useful book.” — Tony Rothman, Science “In Millikan’s School, the story of Throop [University]’s transformation into Caltech is told with precision... Judith Goodstein’s history offers a quick tour of the landmarks of science in the mid-20th Century and a glance at how pure science puts itself at the service of government, commerce and the military... Goodstein... approaches her subject with a healthy sense of humor and an acute sense of academic politics. She tells a wonderful story about how Caltech lost to Princeton in a bidding war over the services of Albert Einstein, for example... To her credit, Goodstein asks the hard question: ‘What is the best way to do science?’... Millikan’s School offers enough hard data to enable us to come to our own conclusions.” — Jonathan Kirsch, Los Angeles Times “A cleanly written, scientifically well informed account of one of the world’s foremost institutions for science and technology.” — Ed Regis, Nature “Relying on archival material, published secondary sources, and interviews with institute scientists, Goodstein presents a highly readable account of Caltech’s beginnings at the turn of the century... substantive, informative, and a good read.” — Rebecca S. Lowen, Technology and Culture “As a history of science, this book is well crafted. Orderly in its flow, it is not only a tribute to Millikan, but also places him within the development of physics as a field.” — Andrew Rolle, Southern California Quarterly “A fascinating history that speaks to issues far larger than Cal Tech itself... This well-written and honest account (witness the many cited instances of anti-Semitism in the scientific world) is both a good read and a sobering reminder that big science and top schools are not brought by storks.” — Carroll Pursell, History of Education Quarterly “The author focuses on the personalities and the research fields of the principal scientific figures... The [...] emphasis on personalities, and capsule surveys of relevant scientific fields produce a book that can be apprehended by a wide audience.” — Roger Geiger, Isis “This chronicle offers glimpses of the passion and drive that have motivated a roster of distinguished scientists.” — Publishers Weekly “A lively tale... [Goodstein’s] individual profiles are lean and candid; her background on subjects as diverse as nuclear astrophysics, seismology, aeronautical design, quantum mechanics and rocket fuel are crisp and understandable... With a light style... and meticulous documentation, Goodstein has produced a tale worthy of her subject... “ — Marshall Robinson, Foundation News “A distinguished and uniquely American institution has found its chronicler and its chronicle in Judith Goodstein’s thorough but compact story of Millikan ‘s School. The emergence of Caltech as a powerhouse of science and engineering and a makeweight in the technological advancement of 20th century industry is both beautifully and reliably presented.” — Harry Woolf, Institute for Advanced Study, Princeton University
Author: Giovanni Villani
Publisher:
ISBN:
Category : Florence
Languages : en
Pages : 524
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Book Description
Author: Benedetto Bongiorno
Publisher: Springer
ISBN: 3319786679
Category : Mathematics
Languages : en
Pages : 317
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Book Description
This book examines the life and work of mathematician Giovanni Battista Guccia, founder of the Circolo Matematico di Palermo and its renowned journal, the Rendiconti del Circolo matematico di Palermo. The authors describe how Guccia, an Italian geometer, was able to establish a mathematical society in Sicily in the late nineteenth century, which by 1914 would grow to become the largest and most international in the world, with one of the most influential journals of the time. The book highlights the challenges faced by Guccia in creating an international society in isolated Palermo, and places Guccia’s activities in the wider European context through comparisons with the formation of the London Mathematical Society and the creation of Mittag-Leffler’s Acta Mathematica in Stockholm. Based on extensive searches in European archives, this scholarly work follows both historical and scientific treads, and will appeal to those interested in the history of mathematics and science in general.
Author: Eckart Menzler-Trott
Publisher: American Mathematical Soc.
ISBN: 1470428121
Category : Mathematics
Languages : en
Pages : 466
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Book Description
Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on the conditions of scientific research, in this case mathematical logic, in National Socialist Germany, the ideological fight for “German logic”, and their mutual protagonists. Numerous hitherto unpublished sources, family documents, archival material, interviews, and letters, as well as Gentzen's lectures for the mathematical public, make this book an indispensable source of information on this important mathematician, his work, and his time. The volume is completed by two deep substantial essays by Jan von Plato and Craig Smoryński on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Gödel; and its development up to the present day. Smoryński explains the Hilbert program in more than the usual slogan form and shows why consistency is important. Von Plato shows in detail the benefits of Gentzen's program. This important book is a self-contained starting point for any work on Gentzen and his logic. The book is accessible to a wide audience with different backgrounds and is suitable for general readers, researchers, students, and teachers.
Author: M. Diane Clark
Publisher: Gallaudet University Press
ISBN: 9781563681059
Category : Education
Languages : en
Pages : 232
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Book Description
This sharply focused volume on the cognitive development of deaf children calls upon experts in anthropology, psychology, linguistics, basic visual sensory processes, education, cognition, and neurophysiology to share complementary observations. William C. Stokoe's "Deafness, Cognition, and Language" leads fluidly into Jeffery P. Braden's analysis of clinical assessments of deaf people's cognitive abilities. Margaret Wilson expands on the impact of sign language expertise on visual perception. The study and analysis of Italian deaf preschoolers with hearing families presented by Elena Pizzuto, Barbara Ardito, Maria Cristina Caselli, and Virginia Volterra chronicles fascinating insights on the children's cognition and language development. Context, Cognition, and Deafness also shows that theory can intersect practice, as displayed by editor Marschark and Jennifer Lukomski in their research on literacy, cognition, and education. Amy R. Lederberg and Patricia E. Spencer have combined sequential designs in their study of vocabulary learning. Ethan Remmel, Jeffrey Bettger, and Amy Weinberg explore the theory of mind development. The emotional development of deaf children also receives detailed consideration by Colin D. Gray, Judith A. Hosie, Phil A. Russell, and Ellen A. Ormel. Kathryn P. Meadow-Orlans delineates her perspective on the coming of age of deaf children in relation to their education and development. Marschark concludes with insightful impressions on the future of theory and application, an appropriate close to this exceptional, coherent volume.
Author: Ian Billick
Publisher: University of Chicago Press
ISBN: 0226050440
Category : Science
Languages : en
Pages : 479
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Book Description
Ecologists can spend a lifetime researching a small patch of the earth, studying the interactions between organisms and the environment, and exploring the roles those interactions play in determining distribution, abundance, and evolutionary change. With so few ecologists and so many systems to study, generalizations are essential. But how do you extrapolate knowledge about a well-studied area and apply it elsewhere? Through a range of original essays written by eminent ecologists and naturalists, The Ecology of Place explores how place-focused research yields exportable general knowledge as well as practical local knowledge, and how society can facilitate ecological understanding by investing in field sites, place-centered databases, interdisciplinary collaborations, and field-oriented education programs that emphasize natural history. This unique patchwork of case-study narratives, philosophical musings, and historical analyses is tied together with commentaries from editors Ian Billick and Mary Price that develop and synthesize common threads. The result is a unique volume rich with all-too-rare insights into how science is actually done, as told by scientists themselves.
