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German Mathematicians:     more books (71)

A Lost Mathematician, Takeo Nakasawa: The Forgotten Father of Matroid Theory Sad Strains of a Gay Waltz: A Novel by Irene Dische, 1997-07 Evariste Galois (1811-1832) (Vita Mathematica) by Laura Toti Rigatelli, 1996-12-06 The Snowflake Constant by Peter Stephan Jungk, 2002-03-18 Leonhard Euler: A Man to Be Reckoned With by Andreas K. Heyne, Alice K. Heyne, 2007-03-05 Rheology of Complex Fluids Constantin Carathéodory: Mathematics and Politics in Turbulent Times by Maria Georgiadou, 2004-11-18 The Legacy of Mario Pieri in Geometry and Arithmetic by Elena Anne Marchisotto, James T. Smith, 2007-05-08 Italian Mathematics Between the Two World Wars (Science Networks. Historical Studies) by Angelo Guerraggio, Pietro Nastasi, 2005-12-07 Collected Papers by W. Magnus, Bruce Chandler, 1983-12-19 Israel Gohberg and Friends: On the Occasion of his 80th Birthday Mr Hopkins' Men: Cambridge Reform and British Mathematics in the 19th Century by A.D.D. Craik, 2008-02-19 The Legacy of Niels Henrik Abel: The Abel Bicentennial, Oslo 2002 Ramanujan's Lost Notebook: Part II (Pt. 2) by George E. Andrews, Bruce C. Berndt, 2008-12-23

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61. The Most Tantalizing Marginal Note In The History Of Mathemat-ics
    In 1908, the german mathematician P. Wollskehl bequeathed 100000 marks to the Academy of Science at Gottingen as a prize for the first complete proof of the  
    http://library.thinkquest.org/22494/stories/Fermat.htm
    
    Extractions: Pierre de Fermat The most tantalizing marginal note in the history of mathematics. Of the well over three thousand mathematical papers and notes that he wrote, Fermat published only one, and that just five years before his death and under the concealing initials M. P. E. A. S. Many of his mathematical findings were disclosed in letters to fellow mathematicians and in marginal notes inserted in his copy of Bachet's translation of Diophantus's Arithmetical At the side of Problem 8 of Book II in his copy of Diophantus, Fermat wrote what has become the most tantalizing marginal note in the history of mathematics. The considered problem in Diophantus is: " To divide a given square number into two squares." Fermat's accompanying marginal note reads: To divide a cube into two cubes, a fourth power, or in general any power whatever above the second, into two powers of the same denomination, is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it. This famous conjecture, which says that

62. IMU Bulletin No. 43
    At the beginning of this century, the great german mathematician David Hilbert As President of the german Mathematical Society I ask you to elect by  
    http://www.mathunion.org/Publications/Bulletins/43/manuscripts.html
    
    Extractions: Thirdly, I want to say that I am accustomed, as a mathematician, to being in a nearly invisible field of work. Mathematics is neither a hard science whose discoveries are widely broadcast nor an Art, which delights a major part of the public. So I am especially pleased that our Congress here in Berlin has attracted the attention of the Federal Minister of Education and Science, the State Secretaries of the German President and the Ministry of Finance and the Governing Mayor of Berlin. I am further delighted that there is a stronger public awareness here in Berlin of mathematics and of our Congress than I can recall at any previous Congresses. During this Congress we have an opportunity to present mathematics to people engaged in other professions and the organizing committee has put together an exciting program to accomplish this, as you will hear shortly. Let me do my part by saying a few words about how mathematics relates to the broader cultural world. Mathematics is usually explained and justified to the world at large by giving examples of important inventions that could not have been made without its help. This is embodied in the myth that we mathematicians concern ourselves with eternal truths, which we hand on to physicists, who pass them on to chemists and engineers, etc. who finally pass them on to mankind as a whole. There are definitely important examples of ideas passing along this chain (in fact in both directions!) but I also think it is a rather narrow view to isolate mathematics on such a pedestal. There is a more socially grounded view, which says that mathematics and mathematicians are deeply embedded in human culture and are tied to the Arts in particular where the love of abstraction also flourishes. Let me illustrate this.

63. Mathematical Societies
    german Mathematical Society. Address, GAMM Gesellschaft für Angewandte Mathematik und Mechanik / german Society for Mathematical Didactics  
    http://www.mathunion.org/Information/MathSocieties/

64. Leibniz, Gottfried Wilhelm
    Leibniz, Gottfried A portrait of the german mathematician and philosopher Gottfried Leibniz. Leibniz discovered calculus at about the same time as Isaac  
    http://www.tiscali.co.uk/reference/encyclopaedia/hutchinson/m0004458.html
    
    Extractions: Or search the encyclopaedia: Leibniz, Gottfried Wilhelm A portrait of the German mathematician and philosopher Gottfried Leibniz. Leibniz discovered calculus at about the same time as Isaac Newton, and made other progress in the field of abstract mathematics. As well as this, he sought the reunion of Catholics and Protestants and wrote metaphysical studies, laying the foundation for 18th century philosophy. German mathematician, philosopher, and diplomat. Independently of, but concurrently with, English scientist Isaac Newton , he developed the branch of mathematics known as calculus and was one of the founders of symbolic logic. Free from all concepts of space and number, his logic was the prototype of future abstract mathematics. Calculus and controversy

65. Zaadz Quotes By Author - Karl Friedrich Gauss Quotes
    german mathematician, known for theory of electricity system of magnetic units the gauss . More quotes about God  
    http://zaadz.com/quotes/authors/karl_friedrich_gauss/
    
    Extractions: Rob Costlow Following dreams with music Friedrich Nietzsche said, “Without music life would be a mistake” and Walt Disney once said, "If you can dream it, you can do it." Our own Rob Costlow is an example of following one’s dreams. From melodies sweet and simple to the complex and symphonic, Rob delivers heartfelt and harmonious music that is both original and inspiring. Visit Rob's Website Listen to Rob's Music Grow With Us Join our community. Chat about life, philosophy and anything else you're in the mood for with a cool group of passionate people from around the world. Check out our boards today! Free Inspirational Newsletter Get inspired every morning. You'll dig it. Sign up for our free inspirational quote newsletters and join thousands who are waking up to their dose of wisdom every morning.

66. WNYC - Reading Room: The Golden Ratio
    this term was first used by the german mathematician Martin Ohm (brother of and repeatedly in the german mathematical and art history literature.  
    http://www.wnyc.org/books/11057
    
    Extractions: ISBN: 0-7679-0815-5 Available for purchase at Amazon.com Chapter One PRELUDE TO A NUMBER Numberless are the world's wonders.-Sophocles (495-405 b.c.) Less known than pi is another number, phi (f), which is in many respects even more fascinating. Suppose I ask you, for example: What do the delightful petal arrangement in a red rose, Salvador Dali's famous painting "Sacrament of the Last Supper," the magnificent spiral shells of mollusks, and the breeding of rabbits all have in common? Hard to believe, but these very disparate examples do have in common a certain number or geometrical proportion known since antiquity, a number that in the nineteenth century was given the honorifics "Golden Number," "Golden Ratio," and "Golden Section." A book published in Italy at the beginning of the sixteenth century went so far as to call this ratio the "Divine Proportion." In everyday life, we use the word "proportion" either for the comparative relation between parts of things with respect to size or quantity or when we want to describe a harmonious relationship between different parts. In mathematics, the term "proportion" is used to describe an equality of the type: nine is to three as six is to two. As we shall see, the Golden Ratio provides us with an intriguing mingling of the two definitions in that, while defined mathematically, it is claimed to have pleasingly harmonious qualities.

67. MSN Encarta - Mathematics
    Cantor and another german mathematician, Julius WR Dedekind, Immediately after Hamilton’s discovery, german mathematician Hermann Grassmann and American  
    http://encarta.msn.com/encyclopedia_761578291_10/Mathematics.html
    
    Extractions: Search for books and more related to Mathematics Encarta Search Search Encarta about Mathematics Editors' Picks Great books about your topic, Mathematics ... Click here Advertisement document.write(' Page 10 of 12 Encyclopedia Article Multimedia 45 items Article Outline Introduction Mathematics: The Language of Science Branches of Mathematics History of Mathematics a Gauss: All Fields Carl Friedrich Gauss ranks as one of the greatest mathematicians who ever lived. Diaries from his childhood show that he had already made important discoveries in the theory of numbers. His book Disquisitiones Arithmeticae (Inquiries into Arithmetic), published in 1801, marks the beginning of the modern era in number theory. Gauss also provided a geometric explanation of complex numbers as points on a plane, and the

68. ICM98-CL28 (98/06/11): Electronic Publishing/Mathematical Software/Comparison Of
    Among the panelists are K.H. Hoffmann (President of the german german Mathematical Society) Information and communication networks Joachim Heinze  
    http://elib.zib.de/ICM98/CL/ICM98-CL28.html

69. Chibaf¤ÎÆüµ­ - Memo
    ¦Hermann Hankel, a german mathematician. http//en.wikipedia.org/wiki/Hermann_Hankel ¦Hermann von Helmholtz, a german physician and physicist  
    http://d.hatena.ne.jp/chibaf/20050810
    
    Extractions: by Antonius Otto http://what.gi.alaska.edu/ao/sim/ http://en.wikipedia.org/wiki/Hermann_Hankel http://en.wikipedia.org/wiki/Helmholtz http://en.wikipedia.org/wiki/Ivar_Fredholm http://en.wikipedia.org/wiki/Poisson http://en.wikipedia.org/wiki/Weyl http://en.wikipedia.org/wiki/Lie_group http://en.wikipedia.org/wiki/Sophus_Lie http://en.wikipedia.org/wiki/G._H._Hardy http://en.wikipedia.org/wiki/John_Edensor_Littlewood http://en.wikipedia.org/wiki/Srinivasa_Ramanujan

70. Talks
    June 2001, Thurnau (germany); Bavarian Mathematical Kolloquium Jena (germany); Annual Meeting of the german Mathematical Union, Real analysis section  
    http://www.math.ethz.ch/~farkas/research/Talks.html

71. Physics.org - Physics Evolution Text Version, Page 3
    Gottfried von Leibniz, german mathematician Developed calculus and other On the other hand, the german mathematician Leonhard Euler developed  
    http://www.physics.org/evolution/physics_evolution_text3.asp
    
    Extractions: Click here for animated version The Renaissance (Page 3 of 7) 1400 to 1680 The Renaissance - or rebirth - began in Italy and saw the ideas of The Greeks returning to Europe. The message spread northwards and explorers spread west to cover the globe. Within 300 years through religious and civil conflicts, natural philosophers had rewritten the Ancient foundations and tools of philosophy. Leonardo da Vinci, Renaissance man- Left handed mirror writer! (1452 to 1519) Renaissance man born in Florence In his lifetime, Leonardo da Vinci was primarily an artist, living off commissions and patronage from the rich and powerful. However, he was also an inventive designer- though none of his 'inventions' was ever built. In the fields of anatomy, optics and hydraulics, he anticipated many of the developments of modern science - he even designed a workable flying machine. His scientific theories, like his artistic innovations, were based on careful observation and precise documentation. His notebooks were written in mirror script - either to keep them secret or because he was left handed. This may have contributed to the fact that no-one really knew of his findings in his own lifetime; had they been published, they would have been of great interest to engineers and designers in the 16th and following centuries.

72. Mathematical Mysteries: Transcendental Meditation
    Nineteenthcentury german mathematician Leopold Kronecker once said The result was proved in 1882 by german mathematician Ferdinand von Lindemann - but  
    http://plus.maths.org/issue21/xfile/
    
    Extractions: Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Issue 21 September 2002 Contents Features Safety in numbers Beyond reasonable doubt Tying it all up Blast it like Beckham? Career interview Career interview: Games developer Regulars Plus puzzle Pluschat Mystery mix Reviews 'The Queen's Conjuror' 'Archimedes' 'Mathematical reflections and vistas' 'How long is a piece of string?' ... posters! September 2002 Regulars If the character p doesn't look like the greek letter "pi", and the character isn't a square root sign, an alternative version of this page is available that should work with most browsers. Leopold Kronecker Nineteenth-century German mathematician Leopold Kronecker once said God created the integers, all the rest is the work of man.

73. Carl Friedrich Gauss Years Death Children 1809 Site Book
    number theory written by german mathematician Carl Friedrich Gauss and first published 1777 February 23, 1855) was a legendary german mathematician,  
    http://www.economicexpert.com/a/Carl:Friedrich:Gauss.html
    
    Extractions: var GLB_RIS='http://www.economicexpert.com';var GLB_RIR='/cincshared/external';var GLB_MMS='http://www.economicexpert.com';var GLB_MIR='/site/image';GLB_MML='/'; document.write(''); document.write(''); document.write(''); document.write(''); A1('s',':','html'); Non User A B C ... First Prev [ 1 Next Last Johann Carl Friedrich Gauss (Gauß) April 30 February 23 ) was a legendary German mathematician astronomer and physicist with a very wide range of contributions; he is considered to be one of the greatest mathematicians of all time. (His name rhymes with "house", and is sometimes spelled Gauß in German.) Gauss was born in Braunschweig , Duchy of Brunswick-Lüneburg (now part of Germany ) as the only son of lower-class uneducated parents. According to legend, his genius became apparent at the age of three, when he corrected, in his head, an error his father had made on paper while calculating finances. It is also said that while in elementary school , his teacher tried to occupy pupils by making them add up the (whole) numbers from 1 to 100. A few seconds later, to the astonishment of all, the young Gauss produced the correct answer, having realized that pairwise addition of terms from opposite ends of the list yielded identical intermediate sums: 1+100=101, 2+99=101, 3+98=101, etc., for a total sum of 50 × 101 = 5050. (see: summation Gauss earned a scholarship and in college, he independently rediscovered several important theorems; his breakthrough occurred in

74. Fractal Geometry
    named after the 19thcentury german mathematician Georg Cantor. however, when the german mathematician Felix Hausdorff put forward the idea in  
    http://www.crystalinks.com/fractal.html
    
    Extractions: Reality is based on the patterns of sacred geometry which repeat in endless cycles. A fractal is a geometrical shape or pattern made up of identical parts, which are in turn identical to the overall pattern. The term "fractal" was coined by Benoit Mandelbrot about 1975 to describe a complex geometrical object that has a high degree of "self-similarity" and a fractional dimension that exceeds the normal, or "topological", dimension ( "D" ) for that type of object. The basic unit of the Koch snowflake , first constructed by the mathematician Helge von Koch (1870-1924), is the equilatorial triangle which can be built up into a much larger but still similar pattern. Any part of the snowflake is equally crinkly, whatever scale it is viewed at. Some of the most remarkable fractals are the Julia sets, devised by the French mathematician Gaston Julia (1893-1978). The Julia Sets are generated by applying an iterative non-linear process based on a very simple square-law function. F(z,C) = z2 + C where z is a point on the X-Y plane and C is a constant with both x and y components, Cx and Cy. The results were very surprising. No one expected that such a simple function could produce such complex images and be so difficult to analyze.

75. Regular Columns: EEVL Articles: The Secondary Homepages In Mathematics Initiativ
    They also offer a searchable index for german mathematical resources (SIGMA), a searchable index of preprints from several countries including Austria,  
    http://www.ariadne.ac.uk/issue28/eevl2/
    
    Extractions: The Secondary Homepages in Mathematics Initiative Greig Fratus , MathGate Manager, provides information about the Secondary Homepages in Mathematics initiative. An initiative of Math-Net [ ], the Secondary Homepage is a template that aims to sort the types of information usually found on departmental websites in mathematics into standardised sections and labels. By offering a user-friendly navigation and search, the Secondary Homepage overcomes the problem of significantly differing departmental homepages. As implied by the name, the Secondary Homepage is not meant to replace the department's homepage but rather to offer users another way of accessing information that is available on the department's website. MathGate [ ] is attempting to coordinate the UK version of this. Math-Net is an Internet Information Service for mathematicians, and the Secondary Homepage is only part of what they do. They also offer a searchable index for German mathematical resources (SIGMA), a searchable index of preprints from several countries including Austria, France and Germany, a collection of links to mathematical web resources, Persona Mathematica which allows the user to find German mathematicians, and a software search. The Math-Net charter has been endorsed by the International Mathematical Union's Committee for Electronic Information and Communication [

76. Pascal's Triangle - History In Europe Prior To Pascal
    Circa 1225 Jordanus of Nemore, a german mathematician, in his manuscript 1544 The german mathematician Michael Stifel publishes the extended Figurate  
    http://binomial.csuhayward.edu/EuropePrior.html
    
    Extractions: Blaise Pascal was not the first man in Europe to study the binomial coefficients, and never claimed to be such; indeed, both Blaise Pascal and his father Etienne had been in correspondence with Father Marin Mersenne, who published a book with a table of binomial coefficients in 1636. Many authors discussed the ideas with respect to expansions of binomials, answers to combinatorial problems and figurate numbers, numbers relating to figures such as triangles, squares, tetrahedra and pyramids. Until recently, little had been known of the Greeks interest in combinatorics; it was known that they studied square numbers and triangular numbers, the second column of the Triangle, , so they knew that the sum of two consecutive triangular numbers forms a square, which is in our identity database as Recently a lost manuscript of Archimedes was rediscovered in a palimpsest , a text written over another older text. Archimedes' work was bleached out and the parchment was cut to make paper for a prayerbook about 1000 years ago. Using modern techniques, the work Archimedes did was restored, and it was shown he had correctly figured out the number of different ways a geometric puzzle called the

77. The Hindu : Ramanujan's Mentor
    On this scale, he gave the great german mathematician Hilbert a score of 80. Hardy gave himself a score of only 25, but said his colleague Littlewood  
    http://www.hindu.com/thehindu/mag/2002/12/22/stories/2002122200040400.htm
    
    Extractions: Ramanujan... Ranked 100 on a scale of 1-100 by Hardy. G. H. HARDY, a towering figure in analysis and number theory, had written several important research papers and influential textbooks on these subjects. When Ramanujan wanted to get the opinion of British mathematicians to evaluate his discoveries which lay at the interface between analysis and number theory, it was only natural that he close to write to Hardy. Actually Ramanujan communicated his remarkable findings to several British mathematicians, but it was only Hardy who responded. Realising that Ramanujan was a genius of the first magnitude who would profit immensely by contact with professional research mathematicians, Hardy invited Ramanujan to Cambridge University, England. The rest is history. The collaboration between Hardy and Ramanujan, the influence they had on each other, and the impact their work had over mathematicians of their generation and those succeeding them, was immense.

78. American Mathematical Monthly, The: Richard Brauer: Sketches From His Life And W
    At the annual meeting of the german Mathematical Society (Deutsche MathematikerVereinigung), held in Kissingen in September 1927, he was able to show her a  
    http://www.findarticles.com/p/articles/mi_qa3742/is_200310/ai_n9304206
    
    Extractions: Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. 1. INTRODUCTION. Richard Brauer's research exemplified twentieth century mathematics at its best. In this biographical essay, I will try to give an impression of him as a person, beginning with his student days at the University of Berlin. T plan to give an account of some of his interactions with people who contributed to his development as a mathematician and with those who collaborated with him. I have also included sketches of how his work progressed at different periods of his life, and what it means for us today. I am not writing as an historian, but as a mathematician with an interest in the history of things I have worked on. Richard Brauer was born in Berlin a century ago, the youngest of the three children of Max and Lilly Caroline Brauer. The influences that led him to mathematics and his mathematical education are described in a brief autobiographical note he wrote as the Preface to his Collected Papers [15]. Most of the following remarks about his early years are based on it.1

79. Topics In Algebra
    In 1489, the german mathematician Johann Widman first introduced the symbol +, The german Mathematician Gottfried Wilhelm Leibnitz used a period to  
    http://www.math.wichita.edu/history/topics/algebra.html
    
    Extractions: Topic Tree Home Following are some topics in algebra. Contents of this Page Algebra in Nature A History of Algebra Symbols Boolean Algebra The Hailstone (3n + 1 ) Problem ... Half-Life Algebra in Nature Over the centuries, as mathematical concepts have developed, mathematicians have discovered links from their work to nature. Here are a few topics with their link to the natural world. Fibonacci Numbers When we look a Fibonacci Numbers, we can quickly see the pattern. Many flower species have been found that produce petals that follow this sequence. The Golden Ratio The regular pentagon bears a very close relationship to the Golden Ratio. When you draw two diagonal lines from each verticee, you form Golden Triangles. This forms a pentagram. In nature we find a variety of examples that hold true to this concept. Five petaled flower blossoms have the shape of a pentagram. There are more flowers that have five petals than any other number of petals. If you measure the distance from the tip of one petal to the tip of a nonadjacent petal and then divide that distance by the distance between two adjacent petal tips, you will get an approximation of the Golden Ratio.

80. Mathematics
    David Hilbert, a german mathematician, 18621942. He is most remembered for the twenty-three problems Emmy Noether, a german mathematician, 1882-1935.  
    http://www.math.wichita.edu/~richardson/math.html
    
    Extractions: Mathematics/Statistics This page serves as an introduction to the areas listed and make no claim to be all inclusive. See department coordinator, counselor or advisor for more complete information. College/School/Department Name of Program Emphasis Mathematics and Statistics Counselors If you would like to talk to someone teaching in the field, please make an appointment with:

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