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God Created The Integers

God Created The Integers PDF Author: Stephen Hawking
Publisher: Hachette UK
ISBN: 0762432721
Category : Mathematics
Languages : en
Pages : 256

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Book Description
Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.

God Created The Integers

God Created The Integers PDF Author: Stephen Hawking
Publisher: Hachette UK
ISBN: 0762432721
Category : Mathematics
Languages : en
Pages : 256

View

Book Description
Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.

History of Mathematics

History of Mathematics PDF Author: Craig Smorynski
Publisher: Springer Science & Business Media
ISBN: 0387754806
Category : Mathematics
Languages : en
Pages : 274

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Book Description
General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.

From Kant to Hilbert Volume 2

From Kant to Hilbert Volume 2 PDF Author: William Bragg Ewald
Publisher: OUP Oxford
ISBN: 0191523100
Category : Mathematics
Languages : en
Pages : 709

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Book Description
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.

Codebreaking our future

Codebreaking our future PDF Author: Michael Lee
Publisher: Infinite Ideas
ISBN: 1909652687
Category : Business & Economics
Languages : en
Pages : 224

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Book Description
Codebreaking our future examines the structure of modern society and provides an overview of the four major challenges that will dominate change in the 21st century. Drawing on centuries of academic research and examples from contemporary scientists, demographers and trend-watchers, this book establishes a methodology for predicting the future.

Physical Chemistry

Physical Chemistry PDF Author: Kenneth S Schmitz
Publisher: Elsevier
ISBN: 0128006005
Category : Science
Languages : en
Pages : 872

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Book Description
Physical Chemistry: Concepts and Theory provides a comprehensive overview of physical and theoretical chemistry while focusing on the basic principles that unite the sub-disciplines of the field. With an emphasis on multidisciplinary, as well as interdisciplinary applications, the book extensively reviews fundamental principles and presents recent research to help the reader make logical connections between the theory and application of physical chemistry concepts. Also available from the author: Physical Chemistry: Multidisciplinary Applications (ISBN 9780128005132). Describes how materials behave and chemical reactions occur at the molecular and atomic levels Uses theoretical constructs and mathematical computations to explain chemical properties and describe behavior of molecular and condensed matter Demonstrates the connection between math and chemistry and how to use math as a powerful tool to predict the properties of chemicals Emphasizes the intersection of chemistry, math, and physics and the resulting applications across many disciplines of science

Mathematics as an Educational Task

Mathematics as an Educational Task PDF Author: Hans Freudenthal
Publisher: Springer Science & Business Media
ISBN: 9401029032
Category : Education
Languages : en
Pages : 680

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Book Description
Like preludes, prefaces are usually composed last. Putting them in the front of the book is a feeble reflection of what, in the style of mathe matics treatises and textbooks, I usually call thf didactical inversion: to be fit to print, the way to the result should be the inverse of the order in which it was found; in particular the key definitions, which were the finishing touch to the structure, are put at the front. For many years I have contrasted the didactical inversion with the thought-experiment. It is true that you should not communicate your mathematics to other people in the way it occurred to you, but rather as it could have occurred to you if you had known then what you know now, and as it would occur to the student if his learning process is being guided. This in fact is the gist of the lesson Socrates taught Meno's slave. The thought-experi ment tries to find out how a student could re-invent what he is expected to learn. I said about the preface that it is a feeble reflection of the didactical inversion. Indeed, it is not a constituent part of the book. It can even be torn out. Yet it is useful. Firstly, to the reviewer who then need not read the whole work, and secondly to the author himself, who like the composer gets an opportunity to review the Leitmotivs of the book.

Stephen Hawking

Stephen Hawking PDF Author: Mary-Lane Kamberg
Publisher: The Rosen Publishing Group, Inc
ISBN: 1477776834
Category : Juvenile Nonfiction
Languages : en
Pages : 112

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Book Description
Beyond reaching the pinnacle of success in his field, the preeminent physicist Stephen Hawking also has made a name for himself as a best-selling author. His books bring the wonders of the universe to the masses. Hawking himself is revealed to the public in this book, which follows his rise from apathetic schoolboy to respected scientist and writer. Along the way readers discover how Hawking has dealt with having ALS, and what critics have said about his commercial writings.

Hawking Hawking

Hawking Hawking PDF Author: Charles Seife
Publisher: Hachette UK
ISBN: 1541618386
Category : Science
Languages : en
Pages : 440

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Book Description
Stephen Hawking was widely recognized as the world's best physicist and even the most brilliant man alive–but what if his true talent was self-promotion? When Stephen Hawking died, he was widely recognized as the world's best physicist, and even its smartest person. He was neither. In Hawking Hawking, science journalist Charles Seife explores how Stephen Hawking came to be thought of as humanity's greatest genius. Hawking spent his career grappling with deep questions in physics, but his renown didn't rest on his science. He was a master of self-promotion, hosting parties for time travelers, declaring victory over problems he had not solved, and wooing billionaires. In a wheelchair and physically dependent on a cadre of devotees, Hawking still managed to captivate the people around him—and use them for his own purposes. A brilliant exposé and powerful biography, Hawking Hawking uncovers the authentic Hawking buried underneath the fake. It is the story of a man whose brilliance in physics was matched by his genius for building his own myth.

Differential Geometric Methods in Theoretical Physics

Differential Geometric Methods in Theoretical Physics PDF Author: Ling-Lie Chau
Publisher: Springer Science & Business Media
ISBN: 1468491482
Category : Technology & Engineering
Languages : en
Pages : 830

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Book Description
After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit ful again. Many of the leading specialists of both fields became involved in this devel opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im portantly in three and four dimensional spaces. In physics it concerns gravity, string theory, integrable classical and quantum field theories, solitons and the statistical me chanics of surfaces. New discoveries in these fields are made at a rapid pace. This conference brought together active researchers in these areas, reporting their results and discussing with other participants to further develop thoughts in future new directions. The conference was attended by SO participants from 15 nations. These proceedings document the program and the talks at the conference. This conference was preceded by a two-week summer school. Ten lecturers gave extended lectures on related topics. The proceedings of the school will also be published in the NATO-AS[ volume by Plenum. The Editors vii ACKNOWLEDGMENTS We would like to thank the many people who have made the conference a success. Furthermore, ·we appreciate the excellent talks. The active participation of everyone present made the conference lively and stimulating. All of this made our efforts worth while.

The Math Book

The Math Book PDF Author: Clifford A. Pickover
Publisher: Sterling Publishing Company, Inc.
ISBN: 9781402757969
Category : Mathematics
Languages : en
Pages : 527

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Book Description
This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.