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         Hopf Eberhard:     more detail
  1. Selected Works of Eberhard Hopf with Commentaries (Collected Works) by Eberhard Hopf, Cathleen S. Morawetz, et all 2002-12-10
  2. Ergodentheorie (German Edition) by Eberhard Hopf, 1970-01-01
  3. Mathematical Problems Of Radiative Equilibrium by Eberhard Hopf, 2007-03-15
  4. Mathematical Problems of Radiative Equilibrium by Eberhard Hopf, 1934-01-01
  5. Lecture Series of the Symposium on PARTIAL DIFFERENTIAL EQUATIONS. [Univ. Calif. by Eberhard, Lax, Peter D. & Schiffer, M.M. Hopf, 1957-01-01
  6. The partial differential equation [U sub t plus u*u sub x equals u sub x*x] by Eberhard Hopf, 1950
  7. MATHEMATICAL PROBLEMS OF EQUILIBRIUM by Eberhard Hopf, 1964
  8. Ergodic theory by Eberhard Hopf, 1967
  9. Mathematical problems of radiative equilibrium (Cambridge tracts in mathematics and mathematical physics;no.31) by Eberhard Hopf, 1964
  10. MATHEMATICAL PROBLEMS OF RADIATIVE EQUILIBRIUM. [Cambridge Tracts in Mathemtics by Eberhard Hopf, 1934-01-01
  11. Hilft der Glaube? Heilung auf dem Schnittpunkt zwischen Theologie und Medizin. by Eugen Biser, Brigitte Fuchs, et all 2002-01-01

41. Jacques-Louis Lions
came back to life in 1951, when eberhard hopf established the longtimeexistence of weak solutions for bounded domains in three dimensions.
http://www.siam.org/siamnews/07-01/lions.htm
search:
Obituary
Jacques-Louis Lions
Jacques-Louis Lions died on May 17, 2001, at the age of 73. He is survived by his wife, Andrée, his son, Pierre-Louis, daughter-in-law, Lila, and grandson, Dorian. Jacques-Louis Lions was a scientist of remarkable prescience and immense energy, with vision that extended to the development of entire areas of the mathematical sciences. He understood that mathematics could make contributions to science, and worked to see this potential realized. The founder of the French school of applied mathematics, he also had considerable influence on mathematicians and mathematical institutions worldwide. His mathematical legacy includes 20 books and nearly 600 papers. Beyond all his personal achievements, his greatest satisfaction came from the success of his son Pierre-Louis, who was awarded a Fields Medal at the International Congress of Mathematicians in Zurich in 1994. Jacques-Louis Lions was born and grew up in Grasse, a charming town in the south of France known for the flowers it provides to the French perfume industry. His father was mayor of Grasse for nearly thirty years. Jacques-Louis's wife and lifelong companion Andrée was also born and grew up in the south of France; they met during World War II, when both were active in the Résistance.

42. Heinz Hopf
Translate this page Die Treffer zu Wiener-hopf beziehen sich nicht auf Heinz sondern auf eberhard hopf.Sucht man im Zentralblatt MATH nach Titeln, die die Wörter hopf algebra*
http://www.ub.uni-heidelberg.de/helios/fachinfo/www/math/homo-heid/hopf.htm
Heinz Hopf
Studium in Heidelberg
Hopf, Heinz (19.11.1894 - 3.6.1971)
Lexika (Printausgaben) WWW-Informationen Print-Biographien Werk Bibliographien
Lexika
Bd. 10 (1996), S. 251
Hopf, Heinz, schweizer. Mathematiker dt. Herkunft,
Werk: Topologie I (1935, mit P. ALEXANDROFF). Hopf, Akad. Wiss. Heidelberg 49,
Mathematik (Topologie). MV: Topologie m. Paul Alexandroff 35.
Z: Zahlr. Aufs. in: Math. Ann. 25-31; Math. Zs. 29; Crelles J. 30; Comment. Math. Helv. 31-55; Fund. Math. 35; Ann. of Math. 41; Courant Anniversary Vol. New York 48; Math. Nachr. 51; u.a.
MHZ: Compos. Math. 34-40; Math. Ann. seit 48.
Top
WWW-Informationen
Biographie vom St. Andrews Archiv The Mathematics Genealogy Project Heinz Hopf Top
Print-Biographien
Neue Deutsche Biographie. - Berlin
Bd. 9 (1972), S. 607
UB-Signatur: LSN A-EH 001 Dictionary of Scientific Biography. - New York
Vol. 6 (1972), p. 496-497
UB-Signatur: LSN B-AE 014 History of topology / ed. I.M. James. - Amsterdam [u.a.], 1999
Chapter 9
UB-Signatur: 2000 H 569
Aleksandrov, Pavel S.:

43. Infinite Dimensional Chaos In The Broadest Sense > GaianXaos
called the first excitation, was rigorously explored by eberhard hopf in 1942.This event, which is now commonly called a hopf bifurcation, involves the
http://www.gaianxaos.com/xaos_dynamic_insanity.htm
Infinite Dimensional Chaos
in the Broadest Sense Senior Seminal UCSC
June 2002 Abstract Dynamic Systems Theory The field of dynamics is a vast subject whose origins can be traced back roughly four hundred years to the time of Newton, Galileo, and Kepler . There were actually very few significant advances throughout the next few hundred years until the beginning of the 20 th century when new breakthroughs were made by Poincare and Liapounov . At this time, the study of dynamic behavior was primary concerned with the analytic properties of various mathematical functions. These functions served as simple models whose behavior reflected certain types of physical phenomena such as pendulums, falling bodies, and spring-mass systems. In most cases, the analytic approach to modeling a natural system involves two basic steps. Firstly, model builders have habitually used techniques which allow for an extremely complex higher dimensional system to be collapsed into a lower dimensional toy model. Secondly, the equations for these models often contain nonlinear terms, which can lead to serious difficulties in mapping the dynamics of the system. These nonlinear terms are usually linearized using a functional approximation.

44. Mathematics Unbound Abstracts
Fortunately, eberhard hopf s book, Ergodentheorie, brought much of the worktogether when published in 1937 in the Ergebnisse series.
http://www.math.virginia.edu/MathUnbound/abstracts.htm
Hermite, Darboux, and the Promotion
of German Mathematics in post-1870 France Tom Archibald
Acadia University (Canada)
France's political transition from the Second Empire to the Third Republic was accompanied by a mathematical transition of which one remarkable feature is an increased interest in German research. In this period, French mathematicians not only studied German work, they absorbed aspects of its dominant values. The shift toward German-style pure mathematics is not mirrored in other aspects of cultural life, and special factors mediating these developments must be sought, the more so because of the anti-German sentiment in France following the Franco-Prussian War of 1870-1871. In this paper, I investigate the roles of Gaston Darboux and Charles Hermite in the dissemination of German work to French audiences. This was a multifaceted effort, involving the translation and publication of both abstracts and articles, the encouragement of theses on subjects of German origin, the reform of curriculum at the Paris and elsewhere, and the cultural recognition of German mathematicians through appointments to the

45. References
24 eberhard hopf, ``An Inequality for Positive Linear Integral Operators, Journal for Mathematics and Mechanics 12 683692 (1963).
http://delta.cs.cinvestav.mx/~mcintosh/newweb/cf/node59.html
References
Claude E. Shannon, ``Mathematical Theory of Communication,'' Bell System Technical Journal W. S. McCulloch and W. Pitts, ``A logical calculus of the ideas immanent in nervous activity,'' Bulletin of Mathematical Biophysics John H. Conway, Regular algebra and finite machines , Chapman and Hall, London, 1971. R. C. Backhouse and B. A. Carré, ``Regular Algebra Applied to Path-finding Problems,'' Journal of the Institute for Mathematics and its Applications Robert L. Hemminger and Lowell W. Beineke, ``Line graphs and line digraphs,'' in Lowell W. Beineke and Robin J. Wilson, Selected Topics in Graph Theory , Academic Press, New York, 1978. (ISBN 0-12-086250-6) pp. 271-305 Paul I. Richards, ``Precedence constraints and arrow diagrams,'' SIAM Review Solomon W. Golomb, Shift Register Sequences , Holden-Day, Inc., San Francisco, 1967. Anthony Ralston, ``De Bruijn Sequences-A Model Example of the Interaction of Discrete Mathematics and Computer Science,'' Mathematics Magazine Stephen Wolfram, ``Statistical mechanics of cellular automata,''

46. Direction Des Bibliothèques, Université De Montréal
Selected Works of eberhard hopf with Commentaries. QA 377 K36 2003 Kappeler, T.KdV KAM. QA 377 V5614 2001 Vinogradov, AM
http://www.bib.umontreal.ca/MI/NAcq20040917.htm
Répertoires Moteur de recherche Plan du campus Mon portail UdeM ... Pour nous joindre
SEMAINE DU: 17 septembre 2004
MONOGRAPHIES
HD 20 .215 K453 2001
Keller, G.
Instructor's Solutions Manual for Applied Statistics with Microsoft Excel. HG 106 B53 2003
Bianconi, M.
Financial Economics, Risk and Information : An Introduction to Methods and Models. QA 76.76 D47 E93 2004
Evans, E.
Domain-Driven Design Tackling Complexity in the Heart of Software. QA 166.6 B67 2003
Borovik, A. et als (Eds)
Coxeter Matroids. QA 174 L67 2001
Ivanov, A.A. et als (Eds)
Groups, Combinatorics and Geometry, Durham 2001. QA 174.7 T35 2004 Taira, K. Semigroups, Boundary Value Problems and Markov Processes. QA 184 L3912 2002 ex.1-3 Lay, D.C. QA 184 T74 1997 ex.2 Trefethen, L.N. Numerical Linear Algebra. QA 186 K5614 2003 Kimura, T.

47. New Books
H662 2002 – Selected Works of eberhard hopf with Commentaries – Ed. by CS MorawetzQA331.7 .S74 2003 – Stein, Elias M. – Complex Analysis Princeton
http://www.sunysb.edu/library/math/book_archive.html
Math, Physics, Astronomy Library New Books List BOOK ARCHIVE March 2004
February 2004

January 2004

December 2003
...
September 2003

March 2004
Q172.5 .C45 h44 2003 - The Kolmogorov Legacy in Physics - Ed. by R. Livi -(Lecture Notes in Physics)
Q223 .A38 2003. Alley, M. The Craft of Scientific Presentations. Critical Steps to Succeed and ...
QA1 .A413 Suppl. 2001 No.1 - Mathematical Programming Regularization and Approximation - Ed. by Osipov Yuril - (Proceedings of the Institute of Mathematics, Supplementary Issue 1)
QA3 .L28 No.1834 - Yomdin, Yosel - Tame Geometry with Application in Smooth Analysis - (Lecture Notes in Mathematics)
QA43 .A53 2004 - Andreescu, T. - Mathematical Olympiad Treasures QA11 .B64 -Bourjaily, B. - Mathematics by Calculator QA166 .L34 2003 - Landman, B - Ramsey Theory on the Integers - (AMS, Student Mathematical Library Vol.24) QA199 .L43 2004 - Ablamowicz, Rafal - Lectures on Clifford (Geometric) Algebras and Application QA242.5 .A73 2001 - Arithmetic Algebraic Geometry - Ed. by Brian C. - (MS/Park City Mathematics Series - V.9)

48. Chaos,Entropy And The Arrow Of Time
The foundations of ergodic theory were laid down by John von Neumann, GeorgeBirkhoff, eberhard hopf and Paul Halmos during the 1930s and more recently
http://www.fortunecity.com/emachines/e11/86/entropy.html
web hosting domain names photo sharing
Chaos, entropy and the arrow of time
The theory of chaos uncovers a new "uncertainty principle" which governs how the real world behaves. It also explains why time goes in only one direction.
Peter Coveney
The nature of time is central not only to our understanding of the world around us, including the physics of how the Universe came into being and how it evolves, but it also affects issues such as the relation between science, culture and human perception. Yet scientists still do not have an easily understandable definition of time.
The problem is that in the everyday world, time appears to go in one direction-it has an arrow. Cups of tea cool, snowmen melt and bulls wreak havoc in china shops. We never see the reverse processes. This unrelenting march of time is captured in thermodynamics, the science of irreversible processes. But underpinning thermodynamics are supposedly more the fundamental laws of the Universe- laws of motion given by Newtonian and quantum mechanics . The equations describing these laws do not distinguish between past and future.Time appears to be a reversible quantity with no arrow.
So we have a conflict between irreversible laws of thermodynamics and the reversible mechanical laws of motion. Does the notion of an arrow of time have to be given up, or do we need to change the fundamental dynamical laws? Today, the theory of chaos can help with the answer.

49. Alexander Barvinok,
Selected Works of eberhard hopf with Commentaries This work celebrates thework of eberhard hopf, a founding father of ergodic theory, a mathematician
http://www.yurinsha.com/353/p9.htm
Alexander Barvinok, University of M ichigan, Ann Arbor, MI
A Course in Convexity
Expected publication date is December 13, 2002
Description
Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications. Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The book will benefit both teacher and student: It is easy to understand, entertaining to the reader, and includes many exercises that vary in degree of difficulty. Overall, the author demonstrates the power of a few simple unifying principles in a variety of pure and applied problems.
The notion of convexity comes from geometry. Barvinok describes here its geometric aspects, yet he focuses on applications of convexity rather than on convexity for its own sake. Mathematical applications range from analysis and probability to algebra to combinatorics to number theory. Several important areas are covered, including topological vector spaces, linear programming, ellipsoids, and lattices. Specific topics of note are optimal control, sphere packings, rational approximations, numerical integration, graph theory, and more. And of course, there is much to say about applying convexity theory to the study of faces of polytopes, lattices and polyhedra, and lattices and convex bodies.
The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computational skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. The book will also be of interest to research mathematicians, who will find some results that are recent, some that are new, and many known results that are discussed from a new perspective.

50. [KOAKIDI] Otto Rössler
eberhard hopf came, Benoît Mandelbrot of fracal fame, Bob May, the magicean, whomI secretely hold responsible for the chaos success, Jim Yorke,
http://www.koakidi.com/article.php3?id_article=194

51. Artist Hans Hopf
Artist Hans hopf Popular Music. Adolph Kurt Bohm, Wiener Staatsopernorchester,eberhard Wächter, Grace Hoffmann, Hans hopf, Leonie Rysanek
http://www.thaipro.com/shop/12u-music-Artist-Hans Hopf.htm
Artist Hans Hopf Popular Music List Price:
Our Price:
Great Recordings Of The Century
Great Recordings Of The Century - Beethoven: Symphony no 9 / Furtwangler, Schwarzkopf by: Otto Edelmann Ludwig van Beethoven Wilhelm Furtw¤ngler Elisabeth Schwarzkopf ... Hans Hopf Released: 12 January, 1999 Our Price:
Leonie Rysanek
Leonie Rysanek by: Ludwig van Beethoven Amilcare Ponchielli Giacomo Puccini Richard Strauss ... Nello Santi Released: 19 September, 2000 List Price:
Our Price:
not available
Beethoven
Beethoven: Symphony No. 9 'Choral' by: Elisabeth H¶ngen Otto Edelmann Ludwig van Beethoven Wilhelm Furtw¤ngler ... Hans Hopf Released: 23 September, 1997 List Price:
Our Price:
not available
Wagner
Wagner: Meistersinger von N¼rnberg by: Richard Wagner Hans Knappertsbusch Gerhard Stolze Gerhard Unger ... Karl Mikorey Released: 19 May, 1998 Our Price:
Salome
Salome by: Richard Strauss Adolph Kurt Bohm Wiener Staatsopernorchester Eberhard W¤chter ... Leonie Rysanek Released: 12 October, 1999 Our Price: Strauss Strauss: Salome by: Richard Strauss Karl B¶hm Wiener Staatsopernchor Gottfried Kraus ... Heinz Zednik Released: 25 January, 2000 Our Price: Richard Wagner Richard Wagner: Tannh¤user by: Gottlob Frick Richard Wagner Franz Konwitschny Karl Schmidt ... Dietrich Fischer-Dieskau Released: 01 July, 1991

52. AMS Prize - Leroy P. Steele Prizes
August 1981 To eberhard hopf for three papers of fundamental and lastingimportance Abzweigung einer periodischen Lösung von einer stationären Lösung
http://www.ams.org/prizes/steele-prize.html
Leroy P. Steele Prizes
The Leroy P. Steele Prize for Lifetime Achievement
The Leroy P. Steele Prize for Mathematical Exposition
The Leroy P. Steele Prize for Seminal Contribution to Research August 1970: To Solomon Lefschetz for his paper, A page of mathematical autobiography , Bulletin of the American Mathematical Society,volume 74 (1968), pp. 854-879. August 1971: To James B. Carrell for his paper, written jointly with Jean A. Dieudonne, Invariant theory, old and new , Advances in Mathematics, volume 4 (1970), pp. 1-80. August 1971: Algebraic geometry , Advances in Mathematics, volume 3 (1969), pp. 223-321, and for his paper, written jointly with James B. Carrell, Invariant theory, old and new , Advances in Mathematics, volume 4 (1970), pp. 1-80. August 1971: To Phillip A. Griffiths for his paper, Periods of integrals on algebraic manifolds , Bulletin of the American Mathematical Society, volume 76 (1970), pp. 228-296. August 1972: To Edward B. Curtis for his paper, Simplicial homotopy theory , Advances in Mathematics, volume 6 (1971), pp. 107-209.

53. MathComp Database - Browse - List
1, Hope, GS (Gordon Sidney), 1931. 1, hopf, eberhard, 1902-. 1, Hopgood, Adrian A.3, Hopgood, FRA (Frank Robert Albert). 1, Hopper, Andrew
http://ram0.huji.ac.il/ALEPH/ENG/JSL/JMC/COMP/SCAN-F/0442025
MathComp database - Browse - AUTHOR list - COMPUTERSCIENCE
The numbers in the list below indicate the number of documents listed under a term.
To display the documents, click on an eye . To move up or down the list, click on the arrow. Hoory, Shlomo Hopcroft, John E., 1939- Hope, Barbara Hope, G. S. (Gordon Sidney), 1931- Hopf, Eberhard, 1902- Hopgood, Adrian A. Hopgood, F. R. A. (Frank Robert Albert) Hopper, Andrew Hord, R. Michael, 1940- Hordeski, Michael F. Horebeek, Ivo van, 1959- Horn, Berthold

54. MathComp Database - Full View Of Document
to mail the record to your email account. SYSNO, 1054481. Holdings. Shelf No.106 HO. Author, hopf, eberhard, 1902-
http://ram0.huji.ac.il/ALEPH/ENG/JSL/JMC/COMP/FIND-ACC/0445749
MathComp database - Full view of document
to mail the record to your e-mail account.
SYSNO Holdings
Shelf No.
106 HO Author Hopf, Eberhard, 1902- Title Mathematical problems of radiative equilibrium
Imprint Cambridge : Cambridge University Press, 1934
Pages viii, 104 p.
Lang ENG Subject Radiative transfer Subject Astrophysics Subject 106 Mathematical ApplicationsThermodynamics, Statistical Mechanics, Analytical Theory of Heat
Series Cambridge tracts in mathematics and mathematical physics ; 031

55. Eberhard Hopf Université Montpellier II
Translate this page eberhard hopf (1902-1983). Cette image et la biographie complète en anglaisrésident sur le site de l’université de St Andrews Écosse
http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1301

56. PNAS -- Index By Author (Feb 15 1948, 34 (2))
hopf, eberhard. K. Kasner, Edward. M. Mautner, FI. P. Piotrowski, SL. R. Roman,Herschel. S. Salem, R. Shapley, Harlow
http://www.pnas.org/content/vol34/issue2/aindex.shtml
Index by Author: Feb 15 1948; 34 (2) [Table of Contents] A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
B
Buchdahl, H. A. [PDF]
C
Cicco, John De [PDF]
E
Eberlein, W. F. [PDF]
Emerson, Sterling [PDF]
H
Hopf, Eberhard [PDF]
K
Kasner, Edward [PDF]
M
Mautner, F. I. [PDF]
P
Piotrowski, S. L. [PDF]
R
Roman, Herschel [PDF]
S
Salem, R. [PDF]
Shapley, Harlow [PDF]
V
Vandiver, H. S. [PDF]
Z
Zalokar, Marko [PDF]
Zygmund, A. [PDF]
Current Issue Archives Online Submission ... Site Map

57. PNAS -- Index By Author (Feb 15 1932, 18 (2))
hopf, eberhard Huntington, Edward V. L. Lacoss, DA Lefschetz, Solomon Lotka, AJ.M. Menzies, Alan WC Murnaghan, Francis D.
http://www.pnas.org/content/vol18/issue2/aindex.shtml
Index by Author: Feb 15 1932; 18 (2) [Table of Contents] A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
A
Ackerman, John W. [PDF]
B
Bancroft, Wilder D. [PDF]
Beadle, G. W. [PDF]
Benedict, Francis G. [PDF]
Bergner, A. Dorothy [PDF]
Blakeslee, A. F. [PDF]
C
Coropatchinsky, V. [PDF]
E
Eisenhart, Luther Pfahler [PDF]
F
Fox, Edward L. [PDF]
G
Gesell, Arnold [PDF]
H
Hopf, Eberhard [PDF]
Huntington, Edward V. [PDF]
L
Lacoss, D. A. [PDF]
Lefschetz, Solomon [PDF]
Lotka, A. J. [PDF]
M
Menzies, Alan W. C. [PDF]
Murnaghan, Francis D. [PDF]
T
Thomas, Tracy Yerkes [PDF]
W
Walsh, J. L. [PDF]
Widder, D. V. [PDF]
Current Issue Archives Online Submission ... Site Map

58. Liste Historischer Mathematischer Dissertationen Von 1810 Bis 1933
Translate this page 162, hopf, eberhard (1902-1983), H, Über die Zusammenhänge zwischen gewissenhöheren Differenzenquotienten reeller Funktionen einer reellen Variablen und
http://dochost.rz.hu-berlin.de/listen/histdisslist.php3?sec=H

59. Liste Historischer Mathematischer Habilitationen Von 1810 Bis 1933
Translate this page 39, hopf, eberhard (1902-1983), Zur mathematischen Theorie desStrahlungsgleichgewichts. (Kopff, Guthnick, Schmidt), Über die Theorie derMondbewegung.
http://dochost.rz.hu-berlin.de/listen/histhabillist.php3?sec=ALLE

60. Protein Expression Laboratory
Giovanna Bergamini, Karen Croughton, Cristina Cruciat, Dirk eberhard, JulienGagneur, Sonja Ghidelli, Carsten hopf, Bettina Huhse, Raffaella Mangano,
http://web.ncifcrf.gov/rtp/PEL/highlights.asp
objectives objectives questions/feedback questions/feedback molecular technology molecular technology analytical chemistry analytical chemistry protein chemistry protein chemistry protein expression protein expression animal models animal models gene expression gene expression image analysis images analysis biomedical proteomics biomedical proteomics accessing services accessing services shipping shipping publications publications HIV/SIV Viral Load Analysis HIV/SIV Viral Load Analysis HIV-1 p24/SIV p28 ELISA Plates HIV-1 p24/SIV p28 ELISA Plates HIV/SIV Virus Production HIV/SIV Virus Production Select a Service Ad-2 Production Animal Services BIAcore Analysis Cell-free Protein Expression Confocal Microscopy Cryopreservation Electron Microscopy Eukaryotic Cell Production Genotyping Histotechnology Protein Sequencing/HPLC Mass Spectroscopy Microarray Microbial Fermentation Molecular Diagnostics mRNA Services NMR Spectroscopy Oligo Synthesis Pathology PCR Separation Sequencing Transgenic Mouse Protein Identification Protein Purification
Protein Expression Laboratory
More than 400 papers were accessible online during 2004 that used Gateway recombinational cloning. Most of these used GW to construct protein expression plasmids for use in E. coli or eukaryotic cells. Interestingly, more than 10% of the GW papers in 2004 used GW in plants, presumably because plant vectors tend to be large, which complicates cloning with restriction enzymes and ligase.

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