Carl Friedrich Gauss

Titan of Science

Author: G. Waldo Dunnington,Jeremy Gray,Fritz-Egbert Dohse

Publisher: MAA

ISBN: 9780883855478

Category: Mathematics

Page: 537

View: 5517

Classic biography of Gauss, updated with new introduction, bibliography and new material.

Carl Friedrich Gauss

A Biography. Transl. by Albert Froderberg

Author: Tord Hall

Publisher: Prabhat Prakashan

ISBN: N.A

Category: Mathematicians

Page: 175

View: 7595

Henri Poincaré

Impatient Genius

Author: Ferdinand Verhulst

Publisher: Springer Science & Business Media

ISBN: 1461424070

Category: Mathematics

Page: 260

View: 1086

The book describes the life of Henri Poincaré, his work style and in detail most of his unique achievements in mathematics and physics. Apart from biographical details, attention is given to Poincaré's contributions to automorphic functions, differential equations and dynamical systems, celestial mechanics, mathematical physics in particular the theory of the electron and relativity, topology (analysis situs). A chapter on philosophy explains Poincaré's conventionalism in mathematics and his view of conventionalism in physics; the latter has a very different character. In the foundations of mathematics his position is between intuitionism and axiomatics. One of the purposes of the book is to show how Poincaré reached his fundamentally new results in many different fields, how he thought and how one should read him. One of the new aspects is the description of two large fields of his attention: dynamical systems as presented in his book on `new methods for celestial mechanics' and his theoretical physics papers. At the same time it will be made clear how analysis and geometry are intertwined in Poincaré's thinking and work.In dynamical systems this becomes clear in his description of invariant manifolds, his association of differential equation flow with mappings and his fixed points theory. There is no comparable book on Poincaré, presenting such a relatively complete vision of his life and achievements. There exist some older biographies in the French language, but they pay only restricted attention to his actual work. The reader can obtain from this book many insights in the working of a very original mind while at the same time learning about fundamental results for modern science

Disquisitiones Arithmeticae

Author: Carl Friedrich Gauss,William C. Waterhouse

Publisher: Springer

ISBN: 1493975609

Category: Mathematics

Page: 472

View: 5488

Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. .

The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae

Author: Catherine Goldstein,Norbert Schappacher,Joachim Schwermer

Publisher: Springer Science & Business Media

ISBN: 3540347208

Category: Mathematics

Page: 578

View: 7477

Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication.

Quantum Field Theory

A Tourist Guide for Mathematicians

Author: G. B. Folland

Publisher: American Mathematical Soc.

ISBN: 0821847058

Category: Mathematics

Page: 325

View: 407

Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam-Weinberg model of electromagnetic and weak interactions.

A Cultural History of Physics

Author: Károly Simonyi

Publisher: CRC Press

ISBN: 1439865116

Category: Mathematics

Page: 636

View: 6174

While the physical sciences are a continuously evolving source of technology and of understanding about our world, they have become so specialized and rely on so much prerequisite knowledge that for many people today the divide between the sciences and the humanities seems even greater than it was when C. P. Snow delivered his famous 1959 lecture, "The Two Cultures." In A Cultural History of Physics, Hungarian scientist and educator Károly Simonyi succeeds in bridging this chasm by describing the experimental methods and theoretical interpretations that created scientific knowledge, from ancient times to the present day, within the cultural environment in which it was formed. Unlike any other work of its kind, Simonyi’s seminal opus explores the interplay of science and the humanities to convey the wonder and excitement of scientific development throughout the ages. These pages contain an abundance of excerpts from original resources, a wide array of clear and straightforward explanations, and an astonishing wealth of insight, revealing the historical progress of science and inviting readers into a dialogue with the great scientific minds that shaped our current understanding of physics. Beautifully illustrated, accurate in its scientific content and broad in its historical and cultural perspective, this book will be a valuable reference for scholars and an inspiration to aspiring scientists and humanists who believe that science is an integral part of our culture.

The Legacy of Leonhard Euler

A Tricentennial Tribute

Author: Lokenath Debnath

Publisher: World Scientific

ISBN: 1848165269

Category: Electronic books

Page: 420

View: 2965

This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler''s works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler''s personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author''s historically motivated method of teaching, special attention is given to demonstrate that Euler''s work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler''s extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research. Erratum. Sample Chapter(s). Chapter 1: Mathematics Before Leonhard Euler (434 KB). Contents: Mathematics Before Leonhard Euler; Brief Biographical Sketch and Career of Leonhard Euler; Euler''s Contributions to Number Theory and Algebra; Euler''s Contributions to Geometry and Spherical Trigonometry; Euler''s Formula for Polyhedra, Topology and Graph Theory; Euler''s Contributions to Calculus and Analysis; Euler''s Contributions to the Infinite Series and the Zeta Function; Euler''s Beta and Gamma Functions and Infinite Products; Euler and Differential Equations; The Euler Equations of Motion in Fluid Mechanics; Euler''s Contributions to Mechanics and Elasticity; Euler''s Work on the Probability Theory; Euler''s Contributions to Ballistics; Euler and His Work on Astronomy and Physics. Readership: Undergraduate and graduate students of mathematics, mathematics education, physics, engineering and science. As well as professionals and prospective mathematical scientists.

The Rise of Experimental Biology

An Illustrated History

Author: Peter L. Lutz

Publisher: Springer Science & Business Media

ISBN: 1592591639

Category: Science

Page: 201

View: 4069

Peter Lutz, PhD, brilliantly traverses the major milestones along the evolutionary path of biomedicine from earliest recorded times to the dawn of the 20th century. With an engaging narrative that will have you turning "just one more page" well into the night, this book revealingly demonstrates just how the modern scientific method has been shaped by the past. Along the way the reader is treated to some delightfully obscure anecdotes and a treasure trove of rich illustrations that chronicle the tortuous history of biomedical developments, ranging from the bizarre and amusing to the downright macabre. The reader will also be introduced to the major ideas shaping contemporary physiology and the social context of its development, and also gain an understanding of how advances in biological science have occasionally been improperly used to satisfy momentary social or political needs.

Handbook of Frequency Allocations and Spectrum Protection for Scientific Uses

Author: Committee on Radio Frequencies,Panel on Frequency Allocations and Spectrum Protection for Scientific Uses,Board on Physics and Astronomy,Division on Engineering and Physical Sciences,National Research Council

Publisher: National Academies Press

ISBN: 0309103010

Category: Technology & Engineering

Page: 130

View: 1145

The electromagnetic spectrum is a vital part of our environment. Information encoded in the spectrum of radiation arriving at earth from the universe is the means by which we learn about its workings and origin. Radiation collected from the Earth's land, oceans, biosphere, and atmosphere provide us with much of the data needed to better understand this environment. Wise use of the spectrum is necessary if we are to continue these advances in scientific understanding. To help guide this effort, the NSF and NASA asked the NRC to develop a set of principles for fostering effective allocation and protection of spectral bands for scientific research. This handbook contains practical information in this connection including a description of regulatory bodies and issues, a discussion of the relevant scientific background, a list of science spectrum allocations in the United States, and an analysis of spectrum protection issues.

Gauss

A Biographical Study

Author: W. K. Bühler

Publisher: Springer Science & Business Media

ISBN: 364249207X

Category: Language Arts & Disciplines

Page: 208

View: 5425

Procreare iucundum, sed parturire molestum. (Gauss, sec. Eisenstein) The plan of this book was first conceived eight years ago. The manuscript developed slowly through several versions until it attained its present form in 1979. It would be inappropriate to list the names of all the friends and advisors with whom I discussed my various drafts but I should like to mention the name of Mr. Gary Cornell who, besides discussing with me numerous details of the manuscript, revised it stylistically. There is much interest among mathematicians to know more about Gauss's life, and the generous help I received has certainly more to do with this than with any individual, positive or negative, aspect of my manuscript. Any mistakes, errors of judgement, or other inadequacies are, of course, the author's responsi bility. The most incisive and, in a way, easiest decisions I had to make were those of personal taste in the choice and treatment of topics. Much had to be omitted or could only be discussed in a cursory way.

Scientific Babel

How Science Was Done Before and After Global English

Author: Michael D. Gordin

Publisher: University of Chicago Press

ISBN: 022600032X

Category: Science

Page: 424

View: 2632

English is the language of science today. No matter which languages you know, if you want your work seen, studied, and cited, you need to publish in English. But that hasn’t always been the case. Though there was a time when Latin dominated the field, for centuries science has been a polyglot enterprise, conducted in a number of languages whose importance waxed and waned over time—until the rise of English in the twentieth century. So how did we get from there to here? How did French, German, Latin, Russian, and even Esperanto give way to English? And what can we reconstruct of the experience of doing science in the polyglot past? With Scientific Babel, Michael D. Gordin resurrects that lost world, in part through an ingenious mechanism: the pages of his highly readable narrative account teem with footnotes—not offering background information, but presenting quoted material in its original language. The result is stunning: as we read about the rise and fall of languages, driven by politics, war, economics, and institutions, we actually see it happen in the ever-changing web of multilingual examples. The history of science, and of English as its dominant language, comes to life, and brings with it a new understanding not only of the frictions generated by a scientific community that spoke in many often mutually unintelligible voices, but also of the possibilities of the polyglot, and the losses that the dominance of English entails. Few historians of science write as well as Gordin, and Scientific Babel reveals his incredible command of the literature, language, and intellectual essence of science past and present. No reader who takes this linguistic journey with him will be disappointed.

Euler

The Master of Us All

Author: William Dunham

Publisher: MAA

ISBN: 9780883853283

Category: Mathematics

Page: 185

View: 1264

Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.

The End of the Dinosaurs

Chicxulub Crater and Mass Extinctions

Author: Charles Frankel

Publisher: Cambridge University Press

ISBN: 9780521474474

Category: Science

Page: 223

View: 3294

Investigates the idea that the natural disaster many scientists suspect caused the extinction of the dinosaurs occurred near Puerto Chicxulub, Mexico, when an asteroid collided with Earth, releasing deadly amounts of energy.

Bad Astronomy

Misconceptions and Misuses Revealed, from Astrology to the Moon Landing "Hoax"

Author: Philip C. Plait

Publisher: John Wiley & Sons

ISBN: 9780471422075

Category: Science

Page: 288

View: 5762

Advance praise for Philip Plait s Bad Astronomy "Bad Astronomy is just plain good! Philip Plait clears up every misconception on astronomy and space you never knew you suffered from." --Stephen Maran, Author of Astronomy for Dummies and editor of The Astronomy and Astrophysics Encyclopedia "Thank the cosmos for the bundle of star stuff named Philip Plait, who is the world s leading consumer advocate for quality science in space and on Earth. This important contribution to science will rest firmly on my reference library shelf, ready for easy access the next time an astrologer calls." --Dr. Michael Shermer, Publisher of Skeptic magazine, monthly columnist for Scientific American, and author of The Borderlands of Science "Philip Plait has given us a readable, erudite, informative, useful, and entertaining book. Bad Astronomy is Good Science. Very good science..." --James "The Amazing" Randi, President, James Randi Educational Foundation, and author of An Encyclopedia of Claims, Frauds, and Hoaxes of the Occult and Supernatural "Bad Astronomy is a fun read. Plait is wonderfully witty and educational as he debunks the myths, legends, and 'conspiracies that abound in our society. 'The Truth Is Out There' and it's in this book. I loved it!" --Mike Mullane, Space Shuttle astronaut and author of Do Your Ears Pop in Space?

Capital as Power

A Study of Order and Creorder

Author: Jonathan Nitzan,Shimshon Bichler

Publisher: Routledge

ISBN: 1134022298

Category: Political Science

Page: 464

View: 7699

Conventional theories of capitalism are mired in a deep crisis: after centuries of debate, they are still unable to tell us what capital is. Liberals and Marxists both think of capital as an ‘economic’ entity that they count in universal units of ‘utils’ or ‘abstract labour’, respectively. But these units are totally fictitious. Nobody has ever been able to observe or measure them, and for a good reason: they don’t exist. Since liberalism and Marxism depend on these non-existing units, their theories hang in suspension. They cannot explain the process that matters most – the accumulation of capital. This book offers a radical alternative. According to the authors, capital is not a narrow economic entity, but a symbolic quantification of power. It has little to do with utility or abstract labour, and it extends far beyond machines and production lines. Capital, the authors claim, represents the organized power of dominant capital groups to reshape – or creorder – their society. Written in simple language, accessible to lay readers and experts alike, the book develops a novel political economy. It takes the reader through the history, assumptions and limitations of mainstream economics and its associated theories of politics. It examines the evolution of Marxist thinking on accumulation and the state. And it articulates an innovative theory of ‘capital as power’ and a new history of the ‘capitalist mode of power’.

Broca's Brain

Reflections on the Romance of Science

Author: Carl Sagan

Publisher: Ballantine Books

ISBN: 0307800997

Category: Science

Page: 416

View: 7408

A fascinating book on the joys of discovering how the world works, by the Pulitzer Prize–winning author of Cosmos and Shadows of Forgotten Ancestors. “Magnificent . . . Delightful . . . A masterpiece. A message of tremendous hope for humanity . . . While ever conscious that human folly can terminate man’s march into the future, Sagan nonetheless paints for us a mind-boggling future: intelligent robots, the discovery of extraterrestrial life and its consequences, and above all the challenge and pursuit of the mystery of the universe.”—Chicago Tribune “Go out and buy this book, because Carl Sagan is not only one of the world’s most respected scientists, he’s a great writer. . . . I can give a book no greater accolade than to say I’m planning on reading it again. And again. And again.”—The Miami Herald “The brilliant astronomer . . . is persuasive, provocative and readable.”—United Press International “Closely reasoned, impeccably researched, gently humorous, utterly devastating.”—The Washington Post

A Good and Wise Measure

The Search for the Canadian-American Boundary, 1783-1842

Author: Francis M. Carroll

Publisher: University of Toronto Press

ISBN: 9780802083586

Category: History

Page: 462

View: 3369

The story of the attempts to settle the original boundary between British North America and the United States. Though established by the Treaty of Paris in 1783, the boundary was plagued by ambiguities and errors in the document.

Basics of Geomatics

Author: Mario A. Gomarasca

Publisher: Springer Science & Business Media

ISBN: 9781402090141

Category: Technology & Engineering

Page: 656

View: 9369

Geomatics is a neologism, the use of which is becoming increasingly widespread, even if it is not still universally accepted. It includes several disciplines and te- niques for the study of the Earth’s surface and its environments, and computer science plays a decisive role. A more meaningful and appropriate expression is G- spatial Information or GeoInformation. Geo-spatial Information embeds topography in its more modern forms (measurements with electronic instrumentation, sophisticated techniques of data analysis and network compensation, global satellite positioning techniques, laser scanning, etc.), analytical and digital photogrammetry, satellite and airborne remote sensing, numerical cartography, geographical information systems, decision support systems, WebGIS, etc. These specialized elds are intimately interrelated in terms of both the basic science and the results pursued: rigid separation does not allow us to discover several common aspects and the fundamental importance assumed in a search for solutions in the complex survey context. The objective pursued by Mario A. Gomarasca, one that is only apparently modest, is to publish an integrated text on the surveying theme, containing simple and comprehensible concepts relevant to experts in Geo-spatial Information and/or speci cally in one of the disciplines that compose it. At the same time, the book is rigorous and synthetic, describing with precision the main instruments and methods connected to the multiple techniques available today.