Non-Euclidean Geometry in the Theory of Automorphic Functions PDF Download
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Author: Jacques Hadamard
Publisher: American Mathematical Soc.
ISBN: 0821820303
Category : Mathematics
Languages : en
Pages : 109
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Book Description
"This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts."--Jacket.
Author: Jacques Hadamard
Publisher: American Mathematical Soc.
ISBN: 0821820303
Category : Mathematics
Languages : en
Pages : 109
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Book Description
"This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts."--Jacket.
Author: Jacques Hadamard
Publisher:
ISBN: 9781470438852
Category : Automorphic functions
Languages : en
Pages : 95
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Book Description
Author: Jacques Hadamard
Publisher: American Mathematical Soc.
ISBN: 9780821890479
Category : Mathematics
Languages : en
Pages : 116
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Book Description
This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincare. Poincare's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of non-Euclidean geometry. This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts.
Author: I.M. Yaglom
Publisher: Springer Science & Business Media
ISBN: 146126135X
Category : Mathematics
Languages : en
Pages : 326
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Book Description
There are many technical and popular accounts, both in Russian and in other languages, of the non-Euclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This geometry, also called hyperbolic geometry, is part of the required subject matter of many mathematics departments in universities and teachers' colleges-a reflec tion of the view that familiarity with the elements of hyperbolic geometry is a useful part of the background of future high school teachers. Much attention is paid to hyperbolic geometry by school mathematics clubs. Some mathematicians and educators concerned with reform of the high school curriculum believe that the required part of the curriculum should include elements of hyperbolic geometry, and that the optional part of the curriculum should include a topic related to hyperbolic geometry. I The broad interest in hyperbolic geometry is not surprising. This interest has little to do with mathematical and scientific applications of hyperbolic geometry, since the applications (for instance, in the theory of automorphic functions) are rather specialized, and are likely to be encountered by very few of the many students who conscientiously study (and then present to examiners) the definition of parallels in hyperbolic geometry and the special features of configurations of lines in the hyperbolic plane. The principal reason for the interest in hyperbolic geometry is the important fact of "non-uniqueness" of geometry; of the existence of many geometric systems.
Author: Lester R. Ford
Publisher: Createspace Independent Publishing Platform
ISBN: 9781523796991
Category :
Languages : en
Pages : 104
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Book Description
This is an excellent tract on what is now an extensive subject. The main points are very clearly put; room has even been found for an outline of non-Euclidean geometry, and the expression of co-ordinates of points on an algebraic curve as one-valued functions. There is a bibliography which seems to include most of the books and papers of really first-rate importance; and there is a sufficient number of diagrams. English-speaking students ought now, at any rate, to appreciate Poincaré's wonderful discoveries in this field. -Nature, Vol. 96
Author: Lester R. Ford
Publisher:
ISBN:
Category : Automorphic functions
Languages : en
Pages : 112
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Book Description
Author: Joseph Lehner
Publisher: Courier Corporation
ISBN: 0486789748
Category : Mathematics
Languages : en
Pages : 162
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Book Description
Concise treatment covers basics of Fuchsian groups, development of Poincaré series and automorphic forms, and the connection between theory of Riemann surfaces with theories of automorphic forms and discontinuous groups. 1966 edition.
Author: A. B. Venkov
Publisher: American Mathematical Soc.
ISBN: 9780821830789
Category : Mathematics
Languages : en
Pages : 196
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Book Description
Author: Bruce C. Berndt
Publisher: Springer Science & Business Media
ISBN: 1475760442
Category : Mathematics
Languages : en
Pages : 392
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Book Description
Robert A. Rankin, one of the world's foremost authorities on modular forms and a founding editor of The Ramanujan Journal, died on January 27, 2001, at the age of 85. Rankin had broad interests and contributed fundamental papers in a wide variety of areas within number theory, geometry, analysis, and algebra. To commemorate Rankin's life and work, the editors have collected together 25 papers by several eminent mathematicians reflecting Rankin's extensive range of interests within number theory. Many of these papers reflect Rankin's primary focus in modular forms. It is the editors' fervent hope that mathematicians will be stimulated by these papers and gain a greater appreciation for Rankin's contributions to mathematics. This volume would be an inspiration to students and researchers in the areas of number theory and modular forms.
Author: Roman Duda
Publisher: American Mathematical Society
ISBN: 1470410761
Category : Biography & Autobiography
Languages : en
Pages : 247
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Book Description
The fame of the Polish school at Lvov rests with the diverse and fundamental contributions of Polish mathematicians working there during the interwar years. In particular, despite material hardship and without a notable mathematical tradition, the school made major contributions to what is now called functional analysis. The results and names of Banach, Kac, Kuratowski, Mazur, Nikodym, Orlicz, Schauder, Sierpiński, Steinhaus, and Ulam, among others, now appear in all the standard textbooks. The vibrant joie de vivre and singular ambience of Lvov's once scintillating social scene are evocatively recaptured in personal recollections. The heyday of the famous Scottish Café--unquestionably the most mathematically productive cafeteria of all time--and its precious Scottish Book of highly influential problems are described in detail, revealing the special synergy of scholarship and camaraderie that permanently elevated Polish mathematics from utter obscurity to global prominence. This chronicle of the Lvov school--its legacy and the tumultuous historical events which defined its lifespan--will appeal equally to mathematicians, historians, or general readers seeking a cultural and institutional overview of key aspects of twentieth-century Polish mathematics not described anywhere else in the extant English-language literature.
