Journey through genius

Journey through genius Author William Dunham
ISBN-10 PSU:000023719095
Release 1991-08-01
Pages 300
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A rare combination of the historical, biographical, and mathematicalgenius, this book is a fascinating introduction to a neglected field of human creativity. Dunham places mathematical theorem, along with masterpieces of art, music, and literature and gives them the attention they deserve.



The mathematical universe

The mathematical universe Author William Dunham
ISBN-10 MINN:31951D01941238U
Release 1994-08-11
Pages 314
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Travels through mathematical concepts from Arithmetic to Zero to explore the wonders of the Fibonacci series, Russell's Paradox, and the theory of Pythagorus, in a witty and enthusiastic investigation of the great proofs, conundrums, disputes, and solutions in mathematics today.



Der fliegende Zirkus der Physik

Der fliegende Zirkus der Physik Author Jearl Walker
ISBN-10 3486580671
Release 2008
Pages 346
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Ob Blitz oder blauer Himmel, Glühwürmchen, Teetassen oder Seifenblasen - im täglichen Leben stolpert man laufend über Naturphänomene. Jearl Walker hat die spannendsten und witzigsten aufgegriffen und in diesem Buch deren physikalische Erklärungen skizziert - nicht in Formeln, sondern mit Worten. Einige Lösungen sind einfach zu finden, andere sind enorm schwierig und gestandene Physiker kommen ins Schwitzen beim Versuch, diese Fragen zu beantworten. Der "Fliegende Zirkus der Physik" existiert seit nunmehr 30 Jahren. Das Buch ist in über zehn Sprachen übersetzt worden und wird noch immer weltweit verkauft. Für diese Neuauflage hat Walker das Buch vollständig überarbeitet und zahlreiche neue Phänomene aus der physikalischen Alltagswelt aufgenommen. "Der fliegende Zirkus der Physik" ist reich bebildert und illustriert und lädt damit zum Schmökern und Nachdenken ein.



Abels Beweis

Abels Beweis Author Peter Pesic
ISBN-10 9783540273097
Release 2007-05-31
Pages 224
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Aus den Rezensionen zur englischen Auflage: "Die Leser von Pesics faszinierendem kleinen Buch werden zu dem unausweichlichen Urteil kommen: Niels [Henrik] Abel hat sich der Genialität im fünften Grade schuldig gemacht." William Dunham, Muhlenberg College und Autor von "Journey through Genius: The Great Theorems of Mathematics "Peter Pesic schreibt über Abels Werk mit Begeisterung und Einfühlungsvermögen, und ruft Erinnerungen an die großartigen Momente in der Entwicklung der Algebra wach." Barry Mazur, Gerhard Gade University Professor, Harvard University "Ein einzigartiges Buch. Peter Pesics Chronik des langen Weges der Mathematiker zum Verständnis, wann eine Gleichung gelöst werden kann - und wann nicht - ist amüsant, einleuchtend und leserfreundlich. Der Autor bemüht sich sehr, auch weniger bekannte Namen wie Viète und Ruffini gebührend zu würdigen und verlangt von seinen Lesern nicht mehr als Basiswissen in der Algebra - wovon ein Großteil angenehmerweise getrennt vom Haupttext plaziert wurde." Tony Rothman, Department of Physics, Bryn Mawr College "Peter Pesics Geschichte über die Entstehung der Mathematik ist genauso spannend wie ein Roman." Economist



The Genius of Euler

The Genius of Euler Author William Dunham
ISBN-10 0883855585
Release 2007-03-15
Pages 309
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Celebrating the 300th birthday of Leonhard Euler - collected articles address aspects of Euler's life and work.



The Calculus Gallery

The Calculus Gallery Author William Dunham
ISBN-10 9781400866793
Release 2015-01-26
Pages 256
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More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. "Students of literature read Shakespeare; students of music listen to Bach," he writes. But this tradition of studying the major works of the "masters" is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation. Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original "category theorem" (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable. Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.



Die Grundlagen der Arithmetik

Die Grundlagen der Arithmetik Author Gottlob Frege
ISBN-10 3487400286
Release 1961
Pages 119
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Die Grundlagen der Arithmetik has been writing in one form or another for most of life. You can find so many inspiration from Die Grundlagen der Arithmetik also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Die Grundlagen der Arithmetik book for free.



Elementare Zahlentheorie

Elementare Zahlentheorie Author Jochen Ziegenbalg
ISBN-10 9783658071714
Release 2014-10-29
Pages 155
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Dieses Buch bietet einen historisch orientierten Einstieg in die elementare Zahlentheorie. Es stellt eine solide Basis für vielfältige Ausbaumöglichkeiten dar. Besondere Zielsetzungen sind: Elementarität und Anschaulichkeit, die Berücksichtigung der historischen Entwicklung, Motivation der Begriffe und Verfahren anhand konkreter, aussagekräftiger Beispiele unter Einbezug moderner Werkzeuge (Computeralgebra Systeme, Internet). Als Zusatzmedien werden Computer- und Internet-spezifische Interaktions- und Visualisierungsmöglichkeiten (kostenlos) zur Verfügung gestellt. Das Werk wendet sich an Studierende (Bachelor/Lehramt), Lehrer(innen) sowie alle an Elementarmathematik interessierten Leser.



CRC Concise Encyclopedia of Mathematics Second Edition

CRC Concise Encyclopedia of Mathematics  Second Edition Author Eric W. Weisstein
ISBN-10 9781420035223
Release 2002-12-12
Pages 3252
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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the dedication of author Eric Weisstein to collecting, cataloging, and referencing mathematical facts, formulas, and definitions. He has now updated most of the original entries and expanded the Encyclopedia to include 1000 additional pages of illustrated entries. The accessibility of the Encyclopedia along with its broad coverage and economical price make it attractive to the widest possible range of readers and certainly a must for libraries, from the secondary to the professional and research levels. For mathematical definitions, formulas, figures, tabulations, and references, this is simply the most impressive compendium available.



Enzyklop die Philosophie und Wissenschaftstheorie

Enzyklop  die Philosophie und Wissenschaftstheorie Author Jürgen Mittelstraß
ISBN-10 9783476001344
Release 2016-08-18
Pages 601
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Die Enzyklopädie Philosophie- und Wissenschaftstheorie, das größte allgemeine Nachschlagewerk zur Philosophie im deutschsprachigen Raum, erscheint in einer aktualisierten und erweiterten kompletten Neuauflage. Sie umfasst in Sach- und Personenartikeln nicht nur den klassischen Bestand des philosophischen Wissens, sondern auch die neuere Entwicklung der Philosophie, insbesondere in den Bereichen Logik, Erkenntnis- und Wissenschaftstheorie sowie Sprachphilosophie. Ausführlich berücksichtigt sind auch Grundlagenreflexionen in den Wissenschaften und deren Geschichte. Zu den ca. 400 neu aufgenommenen Artikeln gehören z.B. Bioethik, Chaostheorie, Dekonstruktivismus, angewandte Ethik, Fundamentalismus, Genetik, Intelligenz und Komplexitätstheorie sowie zahlreiche Personenartikel. Die umfassenden Bibliografien und vollständigen Werkverzeichnisse wurden bei allen Artikeln auf den neuesten Stand gebracht.



Wittgensteins Philosophie der Mathematik

Wittgensteins Philosophie der Mathematik Author Christine Redecker
ISBN-10 9783110324204
Release 2006-01-01
Pages 266
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Wittgensteins Aufzeichnungen zur Mathematik erscheinen fragmentarisch, sind jedoch erstaunlich tiefgründig, präzise und kohärent. Sie erlauben daher weitreichende Einblicke in seine grundlegende philosophische Denkweise. Ausgehend von Wittgensteins Kritik an Cantors Diagonalbeweis und seiner Einschätzung reeller Zahlen wird in der vorliegenden Arbeit Wittgensteins Philosophie der Mathematik einer Neubewertung zugeführt. Es wird dargelegt, dass seine Einwände gegen den Diagonalbeweis weder so unbegründet sind, wie ihm seine Gegner vorwerfen, noch so diplomatisch, wie seinen Verteidigern lieb wäre. Vielmehr illustrieren sie die konstruktivistischen, konventionalistischen und revisionistischen Züge seiner Philosophie der Mathematik.



Higher Mathematics for Science Technology and Engineering

Higher Mathematics for Science  Technology and Engineering Author S. G. Ahmed
ISBN-10 9781681082813
Release 2016-01-07
Pages 400
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Higher Mathematics for Science, Technology and Engineering is a textbook for undergraduate and postgraduate students undertaking science, technology, engineering and mathematics (STEM) courses. The book begins with an introduction to one variable functions, followed by chapters covering functional derivatives, partial differentiation, integrals, matrices and determinant theory, partial fractions and much more. Key features of this textbook include: -simple, easy-to-understand explanations of relevant concepts -a wide range of simple and complex examples -several figures where appropriate



Creators of Mathematical and Computational Sciences

Creators of Mathematical and Computational Sciences Author Ravi Agarwal
ISBN-10 9783319108704
Release 2014-11-11
Pages 495
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​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.



Hilbert

Hilbert Author Constance Reid
ISBN-10 9783662286159
Release 2013-07-02
Pages 290
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Hilbert has been writing in one form or another for most of life. You can find so many inspiration from Hilbert also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Hilbert book for free.



Why Prove it Again

Why Prove it Again Author John W. Dawson, Jr.
ISBN-10 9783319173689
Release 2015-07-15
Pages 204
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This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result are different. While a number of books have examined alternative proofs of individual theorems, this is the first that presents comparative case studies of other methods for a variety of different theorems. The author begins by laying out the criteria for distinguishing among proofs and enumerates reasons why new proofs have, for so long, played a prominent role in mathematical practice. He then outlines various purposes that alternative proofs may serve. Each chapter that follows provides a detailed case study of alternative proofs for particular theorems, including the Pythagorean Theorem, the Fundamental Theorem of Arithmetic, Desargues’ Theorem, the Prime Number Theorem, and the proof of the irreducibility of cyclotomic polynomials. Why Prove It Again? will appeal to a broad range of readers, including historians and philosophers of mathematics, students, and practicing mathematicians. Additionally, teachers will find it to be a useful source of alternative methods of presenting material to their students.



Euler s Gem

Euler s Gem Author David S. Richeson
ISBN-10 1400838568
Release 2012-03-08
Pages 336
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Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.



Perfect Rigor

Perfect Rigor Author Masha Gessen
ISBN-10 9780547427560
Release 2009-11-11
Pages 256
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A gripping and tragic tale that sheds rare light on the unique burden of genius In 2006, an eccentric Russian mathematician named Grigori Perelman solved the Poincare Conjecture, an extremely complex topological problem that had eluded the best minds for over a century. A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.