Differentialgleichungen

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Publisher : Springer Science & Business Media
ISBN 13 : 146847362X
Total Pages : 206 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Differentialgleichungen by : Wolfgang Grobner

Download or read book Differentialgleichungen written by Wolfgang Grobner and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses Buch beruht auf 40 lahren intensiven Studiums der Differentialglei chungen, sowohl yom theoretischen als auch yom praktischen Gesichtspunkt aus, eines Studiums, das mit meiner Tatigkeit im Rechen-Institut M. Picones in Rom begann, sodann fortgesetzt wurde in der Gruppe flir Industriemathema tik der Luftfahrt-Forschungsanstalt in Braunschweig, und endlich mit meinen Vorlesungen, hauptsachlich an der Universitat Innsbruck, abgeschlossen wurde. Die Zeit der Weltraumfliige stellte hier neue Aufgaben der Bahnberechnung von Satelliten, deren Bearbeitung theoretisch eine geschlossene Formel zur Losung des n-Korper-Problems, praktisch eine neue Methode zur Berechnung von reguJaren Differentialgleichungssystemen zeitigte, die mit den besten bekannten Losungsmethoden erfolgreich in Konkurrenz treten konnte, was vor aHem meinen Mitarbeitern H. Knapp und G. Wanner zu danken war. Die Vorlesung iiber Differentialgleichungen habe ich seit 1947 in regelmaBi gen Abstanden an der Universitat Innsbruck gehalten, bei jeder Wiederholung neu bearbeitet und durch Seminararbeiten vervollstandigt; auch in meiner flir Physik-Studenten besonders gehaltenen Vorlesung iiber {raquo}Die mathemati schen Methoden der Physik{laquo} habe ich in gekiirzter Form immer die {raquo}Differen tialgleichungen{laquo} eingeschlossen. In der vorliegenden Fassung wurde vor allem das zweite Kapitel iiber Diffe rentialgleichungen mit analytischen Koeffizienten, also speziell der hypergeome trischen, Besselschen und Kummerschen Differentialgleichungen' neu gefaBt und einem neuen Ordnungsprinzip, der {raquo}Invariante{laquo}, unterworfen. Damit ge lingt es, jede vorgelegte Differentialgleichung rasch einzuordnen und auf eine dieser Standardformen zu transformieren. Diese Transformationsformeln wur den neu entwickelt und werden hier zum ersten Mal veroffentlicht. Fiir alle Satze und Entwicklungen werden strenge Beweise geboten; z. B.

7000-7999, Social sciences, 8000-8999, Natural sciences; 9000-9999, Technology

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ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis 7000-7999, Social sciences, 8000-8999, Natural sciences; 9000-9999, Technology by : Princeton University. Library

Download or read book 7000-7999, Social sciences, 8000-8999, Natural sciences; 9000-9999, Technology written by Princeton University. Library and published by . This book was released on 1920 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:

American Journal of Mathematics

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ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis American Journal of Mathematics by :

Download or read book American Journal of Mathematics written by and published by . This book was released on 1885 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.

... Finding List for Seminary Libraries

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ISBN 13 :
Total Pages : 454 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis ... Finding List for Seminary Libraries by : Princeton University. Library

Download or read book ... Finding List for Seminary Libraries written by Princeton University. Library and published by . This book was released on 1907 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Papers

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ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Papers by : American Mathematical Society, New York

Download or read book Papers written by American Mathematical Society, New York and published by . This book was released on 1896 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Seminary

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ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (334 download)

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Book Synopsis Mathematical Seminary by : Princeton University. Library

Download or read book Mathematical Seminary written by Princeton University. Library and published by . This book was released on 1915 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematische Werke / Mathematical Works

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Publisher : Walter de Gruyter
ISBN 13 : 3110905434
Total Pages : 984 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Mathematische Werke / Mathematical Works by : Erich Kähler

Download or read book Mathematische Werke / Mathematical Works written by Erich Kähler and published by Walter de Gruyter. This book was released on 2011-07-13 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kähler's many outstanding achievements which cover an unusually wide area: From celestial mechanics he got into complex function theory, differential equations, analytic and complex geometry with differential forms, and then into his main topic, i.e. arithmetic geometry where he constructed a system of notions which is a precursor and, in large parts, equivalent to the now used system of Grothendieck and Dieudonné. His principal interest was in finding the unity in the variety of mathematical themes and establishing thus mathematics as a universal language. In this volume Kähler's mathematical papers are collected following a "Tribute to Herrn Erich Kähler" by S. S. Chern, an overview of Kähler's life data by A. Bohm and R. Berndt, and a Survey of his Mathematical Work by the editors. There are also comments and reports on the developments of the main topics of Kähler's work, starting by W. Neumann's paper on the topology of hypersurface singularities, J.-P. Bourguignon's report on Kähler geometry and, among others by Berndt, Bost, Deitmar, Ekeland, Kunz and Krieg, up to A. Nicolai's essay "Supersymmetry, Kähler geometry and Beyond". As Kähler's interest went beyond the realm of mathematics and mathematical physics, any picture of his work would be incomplete without touching his work reaching into other regions. So a short appendix reproduces three of his articles concerning his vision of mathematics as a universal Theme together with an essay by K. Maurin giving an "Approach to the philosophy of Erich Kähler".

The Mathematician Sophus Lie

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Publisher : Springer Science & Business Media
ISBN 13 : 3662043866
Total Pages : 556 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Mathematician Sophus Lie by : Arild Stubhaug

Download or read book The Mathematician Sophus Lie written by Arild Stubhaug and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sophus Lie (1842-1899) is one of Norways greatest scientific talents. His mathematical works have made him famous around the world no less than Niels Henrik Abel. The terms "Lie groups" and "Lie algebra" are part of the standard mathematical vocabulary. In his comprehensive biography the author Arild Stubhaug introduces us to both the person Sophus Lie and his time. We follow him through: childhood at the vicarage in Nordfjordeid; his youthful years in Moss; education in Christiania; travels in Europe; and learn about his contacts with the leading mathematicians of his time.

Collected Mathematical Papers

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764315115
Total Pages : 732 pages
Book Rating : 4.3/5 (151 download)

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Book Synopsis Collected Mathematical Papers by : A. Ostrowski

Download or read book Collected Mathematical Papers written by A. Ostrowski and published by Springer Science & Business Media. This book was released on 1985-01-01 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication was made possible through a bequest from my beloved late wife. United together in this present collection are those works by the author which have not previously appeared in book form. The following are excepted: Vorlesungen uber Differential und Integralrechnung (Lectures on Differential and Integral Calculus) Vols 1-3, Birkhauser Verlag, Basel (1965-1968); Aufgabensammlung zur Infinitesimalrechnung (Exercises in Infinitesimal Calculus) Vols 1, 2a, 2b, and 3, Birkhauser Verlag, Basel (1967-1977); two issues from Memorial des Sciences on Conformal Mapping (written together with C. Gattegno), Gauthier-Villars, Paris (1949); Solution of Equations in Euc1idean and Banach Spaces, Academic Press, New York (1973); and Stu dien uber den Schottkyschen Satz (Studies on Schottky's Theorem), Wepf & Co., Basel (1931). Where corrections have had to be implemented in the text of certain papers, references to these are made at the conc1usion of each paper. In the few instances where this system does not, for technical reasons, seem appropriate, an asterisk in the page margin indicates wherever a correction is necessary and this is then given at the end of the paper. (There is one exception: the correc tions to the paper on page 561 are presented on page 722. The works are published in 6 volumes and are arranged under 16 topic headings. Within each heading, the papers are ordered chronologically according to the date of original publication."

Hans Lewy Selecta

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817635237
Total Pages : 452 pages
Book Rating : 4.6/5 (352 download)

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Book Synopsis Hans Lewy Selecta by : Hans Lewy

Download or read book Hans Lewy Selecta written by Hans Lewy and published by Springer Science & Business Media. This book was released on 2002 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Hans Lewy (1904--1988) has had a profound influence in the direction of applied mathematics and partial differential equations, in particular, from the late 1920s. Two of the particulars are well known. The Courant--Friedrichs--Lewy condition (1928), or CFL condition, was devised to obtain existence and approximation results. This condition, relating the time and spatial discretizations for finite difference schemes, is now universally employed in the simulation of solutions of equations describing propagation phenomena. Lewy's example of a linear equation with no solution (1957), with its attendant consequence that most equations have no solution, was not merely an unexpected fact, but changed the viewpoint of the entire field. Lewy made pivotal contributions in many other areas, for example, the regularity theory of elliptic equations and systems, the Monge--Ampère Equation, the Minkowski Problem, the asymptotic analysis of boundary value problems, and several complex variables. He was among the first to study variational inequalities. In much of his work, his underlying philosophy was that simple tools of function theory could help one understand the essential concepts embedded in an issue, although at a cost in generality. This approach was extremely successful. In this two-volume work, most all of Lewy's papers are presented, in chronological order. They are preceded by several short essays about Lewy himself, prepared by Helen Lewy, Constance Reid, and David Kinderlehrer, and commentaries on his work by Erhard Heinz, Peter Lax, Jean Leray, Richard MacCamy, François Treves, and Louis Nirenberg. Additionally, there are Lewy's own remarks on the occasion of his honorary degree from the University of Bonn.

International Catalogue of Scientific Literature

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ISBN 13 :
Total Pages : 2482 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis International Catalogue of Scientific Literature by :

Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1902 with total page 2482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Catalogue of Scientific Literature, 1901-1914

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ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis International Catalogue of Scientific Literature, 1901-1914 by :

Download or read book International Catalogue of Scientific Literature, 1901-1914 written by and published by . This book was released on 1905 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Catalogue of Scientific Literature, 1901-1914

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ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis International Catalogue of Scientific Literature, 1901-1914 by : Royal Society (Great Britain)

Download or read book International Catalogue of Scientific Literature, 1901-1914 written by Royal Society (Great Britain) and published by . This book was released on 1904 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classified List

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ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Classified List by : Princeton University. Library

Download or read book Classified List written by Princeton University. Library and published by . This book was released on 1920 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Revue Semestrielle Des Publications Mathematiques

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ISBN 13 :
Total Pages : 722 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Revue Semestrielle Des Publications Mathematiques by :

Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1897 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900

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ISBN 13 :
Total Pages : 1036 pages
Book Rating : 4.3/5 (117 download)

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Book Synopsis Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900 by : Royal Society (Great Britain)

Download or read book Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900 written by Royal Society (Great Britain) and published by . This book was released on 1916 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential and Integral Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 3642864058
Total Pages : 364 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Differential and Integral Inequalities by : Wolfgang Walter

Download or read book Differential and Integral Inequalities written by Wolfgang Walter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1964 the author's mono graph "Differential- und Integral-Un gleichungen," with the subtitle "und ihre Anwendung bei Abschätzungs und Eindeutigkeitsproblemen" was published. The present volume grew out of the response to the demand for an English translation of this book. In the meantime the literature on differential and integral in equalities increased greatly. We have tried to incorporate new results as far as possible. As a matter of fact, the Bibliography has been almost doubled in size. The most substantial additions are in the field of existence theory. In Chapter I we have included the basic theorems on Volterra integral equations in Banach space (covering the case of ordinary differential equations in Banach space). Corresponding theorems on differential inequalities have been added in Chapter II. This was done with a view to the new sections; dealing with the line method, in the chapter on parabolic differential equations. Section 35 contains an exposition of this method in connection with estimation and convergence. An existence theory for the general nonlinear parabolic equation in one space variable based on the line method is given in Section 36. This theory is considered by the author as one of the most significant recent applications of in equality methods. We should mention that an exposition of Krzyzanski's method for solving the Cauchy problem has also been added. The numerous requests that the new edition include a chapter on elliptic differential equations have been satisfied to some extent.