Non-standard Analysis

Non-standard Analysis PDF

Author: Abraham Robinson

Publisher: Princeton University Press

Published: 2016-08-11

Total Pages: 308

ISBN-13: 1400884225

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Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.

Abraham Robinson

Abraham Robinson PDF

Author: Joseph Warren Dauben

Publisher: Princeton University Press

Published: 2014-07-14

Total Pages: 580

ISBN-13: 1400864097

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One of the most prominent mathematicians of the twentieth century, Abraham Robinson discovered and developed nonstandard analysis, a rigorous theory of infinitesimals that he used to unite mathematical logic with the larger body of historic and modern mathematics. In this first biography of Robinson, Joseph Dauben reveals the mathematician's personal life to have been a dramatic one: developing his talents in spite of war and ethnic repression, Robinson personally confronted some of the worst political troubles of our times. With the skill and expertise familiar to readers of Dauben's earlier works, the book combines an explanation of Robinson's revolutionary achievements in pure and applied mathematics with a description of his odyssey from Hitler's Germany to the United States via conflict-ridden Palestine and wartime Europe. Robinson was born in Prussia in 1918. As a boy, he fled with his mother and brother Saul to Palestine. A decade later he narrowly escaped from Paris as the Germans invaded France. Having spent the rest of World War II in England, at the Royal Aircraft Establishment in Farnborough, he began his teaching career at the Royal College of Aeronautics. Subsequently he moved to universities in Canada, Israel, and finally the United States. A joint appointment in mathematics and philosophy at UCLA led to a position at Yale University, where Robinson served as Sterling Professor of Mathematics until his untimely death at the age of fifty-five. Originally published in 1995. 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.

Abraham Robinson

Abraham Robinson PDF

Author: Joseph Warren Dauben

Publisher:

Published: 2016-04-19

Total Pages: 0

ISBN-13: 9780691632360

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One of the most prominent mathematicians of the twentieth century, Abraham Robinson discovered and developed nonstandard analysis, a rigorous theory of infinitesimals that he used to unite mathematical logic with the larger body of historic and modern mathematics. In this first biography of Robinson, Joseph Dauben reveals the mathematician's personal life to have been a dramatic one: developing his talents in spite of war and ethnic repression, Robinson personally confronted some of the worst political troubles of our times. With the skill and expertise familiar to readers of Dauben's earlier works, the book combines an explanation of Robinson's revolutionary achievements in pure and applied mathematics with a description of his odyssey from Hitler's Germany to the United States via conflict-ridden Palestine and wartime Europe. Robinson was born in Prussia in 1918. As a boy, he fled with his mother and brother Saul to Palestine. A decade later he narrowly escaped from Paris as the Germans invaded France. Having spent the rest of World War II in England, at the Royal Aircraft Establishment in Farnborough, he began his teaching career at the Royal College of Aeronautics. Subsequently he moved to universities in Canada, Israel, and finally the United States. A joint appointment in mathematics and philosophy at UCLA led to a position at Yale University, where Robinson served as Sterling Professor of Mathematics until his untimely death at the age of fifty-five. Originally published in 1995. 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.

I am Abraham Lincoln

I am Abraham Lincoln PDF

Author: Brad Meltzer

Publisher: Penguin

Published: 2014-01-14

Total Pages: 42

ISBN-13: 0803740832

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Each picture book in this series is a biography of an American hero, told in a simple, conversational, vivacious way, and always focusing on a character trait that made the person heroic. (Cover may vary) The heros are depicted as children throughout, telling their life stories in first-person present tense, which keeps the books playful and accessible to young children. This book spotlights Abraham Lincoln who always spoke his mind and was unafraid to speak for others.This friendly, fun biography series inspired the PBS Kids TV show Xavier Riddle and the Secret Museum. One great role model at a time, these books encourage kids to dream big. Included in each book are: • A timeline of key events in the hero’s history • Photos that bring the story more fully to life • Comic-book-style illustrations that are irresistibly adorable • Childhood moments that influenced the hero • Facts that make great conversation-starters • A virtue this person embodies: Abraham Lincoln's compassion made him a great leader. You’ll want to collect each book in this dynamic, informative series!

Jackie Robinson

Jackie Robinson PDF

Author: Lola M. Schaefer

Publisher: Capstone

Published: 2003

Total Pages: 28

ISBN-13: 9780736814355

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A brief biography of the man who was the first African American baseball player on a major league team, as well as the first African American elected to the Baseball Hall of Fame.

History of the LAFLIN Family from Suffolk

History of the LAFLIN Family from Suffolk PDF

Author: Susan Laflin

Publisher: Lulu.com

Published: 2014-12-17

Total Pages: 211

ISBN-13: 1326124226

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The LAFLIN family have been found in Suffolk since the mid sixteenth century until the present day. This book represents the current state of my research into their history and takes it from around 1500 (the earliest reference yet found is 1524) to the 1901 census. Throughout the discussion, I have tried to indicate my sources so that readers may check the information and form their own opinions. This book was first printed in 2007. I had hoped to produce an updated version including information from the 1911 census, but other demands on my time have made this impossible so far. Until such a book is possible, I have decided to make this 2007 version publicly available.