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Applications of Algebraic Geometry to Coding Theory, Physics and Computation (Hardcover, 2001 ed.): Ciro Ciliberto, Friedrich... Applications of Algebraic Geometry to Coding Theory, Physics and Computation (Hardcover, 2001 ed.)
Ciro Ciliberto, Friedrich Hirzebruch, Rick Miranda, Mina Teicher
R2,992 Discovery Miles 29 920 Ships in 10 - 15 working days

An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.

Gesammelte Abhandlungen  -  Collected Papers III - 1988 - 2012 (English, German, Hardcover, 1st ed. 2019): Friedrich Hirzebruch Gesammelte Abhandlungen - Collected Papers III - 1988 - 2012 (English, German, Hardcover, 1st ed. 2019)
Friedrich Hirzebruch; Edited by Joachim Schwermer, Silke Wimmer-Zagier, Don Zagier
R5,083 Discovery Miles 50 830 Ships in 12 - 17 working days

The present volume contains Friedrich Hirzebruch's works from 1987 until 2012. It is the continuation of the two volumes "Friedrich Hirzebruch, Gesammelte Abhandlungen", published by Springer-Verlag in 1987. The volume, edited by Joachim Schwermer, Silke Wimmer-Zagier and Don Zagier, includes all of Friedrich Hirzebruch's mathematical publications from this period as well as two lecture reports written by him. These are supplemented by a number of articles and addresses containing historical or biographical material, as well as obituaries or appreciations of people who were mathematically or personally close to him.

Gesammelte Abhandlungen - Collected Papers II - 1963 - 1987 (English, German, Paperback, 2014. Reprint 2014 of the 1987... Gesammelte Abhandlungen - Collected Papers II - 1963 - 1987 (English, German, Paperback, 2014. Reprint 2014 of the 1987 edition)
Friedrich Hirzebruch
R1,983 Discovery Miles 19 830 Ships in 10 - 15 working days

Friedrich Hirzebruch (1927 -2012) was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure of his generation. Hirzebruch's first great mathematical achievement was the proof, in 1954, of the generalization of the classical Riemann-Roch theorem to higher dimensional complex manifolds, now known as the Hirzebruch-Riemann-Roch theorem. This used the new techniques of sheaf cohomology and was one of the centerpieces of the explosion of new results in geometry and topology during the 1950s. Further generalization of this led to the Grothendieck-Riemann-Roch theorem, and the Atiyah-Singer index theorem. He received many awards and honors, including the Wolf prize in 1988, the Lobachevsky prize in 1990, and fifteen honorary doctorates. These two volumes collect the majority of his research papers, which cover a variety of topics.

In zwei Banden sind fast alle Veroffentlichungen enthalten, die F. Hirzebruch verfasst hat."

Gesammelte Abhandlungen - Collected Papers I - 1951-1962 (English, German, Paperback, 1987. Reprint 2013 of the 1987 edition):... Gesammelte Abhandlungen - Collected Papers I - 1951-1962 (English, German, Paperback, 1987. Reprint 2013 of the 1987 edition)
Friedrich Hirzebruch
R1,985 Discovery Miles 19 850 Ships in 10 - 15 working days

Friedrich Hirzebruch (1927 2012) was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure of his generation. Hirzebruch s first great mathematical achievement was the proof, in 1954, of the generalization of the classical Riemann-Roch theorem to higher dimensional complex manifolds, now known as the Hirzebruch-Riemann-Roch theorem. This used the new techniques of sheaf cohomology and was one of the centerpieces of the explosion of new results in geometry and topology during the 1950s. Further generalization of this led to the Grothendieck-Riemann-Roch theorem, and the Atiyah-Singer index theorem. He received many awards and honors, including the Wolf prize in 1988, the Lobachevsky prize in 1990, and fifteen honorary doctorates. These two volumes collect the majority of his research papers, which cover a variety of topics."

Seminar on New Results in Nonlinear Partial Differential Equations - A Publication of the Max-Planck-Institut fur Mathematik,... Seminar on New Results in Nonlinear Partial Differential Equations - A Publication of the Max-Planck-Institut fur Mathematik, Bonn (Paperback, Softcover reprint of the original 1st ed. 1987)
Friedrich Hirzebruch; Anthony Tromba
R2,772 Discovery Miles 27 720 Ships in 10 - 15 working days

This book consists almost entirely of papers delivered at the Seminar on partial differential equations held at Max-Planck-Institut in the spring of 1984. They give an insight into important recent research activities. Some further developments are also included.

Miscellanea Mathematica (English, French, German, Paperback, Softcover reprint of the original 1st ed. 1991): P.J. Hilton,... Miscellanea Mathematica (English, French, German, Paperback, Softcover reprint of the original 1st ed. 1991)
P.J. Hilton, Friedrich Hirzebruch, Reinhold Remmert; Contributions by M. Atiyah, F.L. Bauer, …
R1,465 Discovery Miles 14 650 Ships in 10 - 15 working days

Mathematics has a certain mystique, for it is pure and ex- act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in- dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz G-tze, who has dedicated his life to scientific pu- blishing, took up this challenge with his typical enthusi- asm. This Festschrift celebrates his invaluable contribu- tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz G-tze's life-longsupport of mathematics.

Applications of Algebraic Geometry to Coding Theory, Physics and Computation (Paperback, 2001 ed.): Ciro Ciliberto, Friedrich... Applications of Algebraic Geometry to Coding Theory, Physics and Computation (Paperback, 2001 ed.)
Ciro Ciliberto, Friedrich Hirzebruch, Rick Miranda, Mina Teicher
R2,915 Discovery Miles 29 150 Ships in 10 - 15 working days

An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.

Numbers (Paperback, 1st Corrected ed. 1991. Corr. 2nd printing 1996): Heinz-Dieter Ebbinghaus Numbers (Paperback, 1st Corrected ed. 1991. Corr. 2nd printing 1996)
Heinz-Dieter Ebbinghaus; Edited by John H. Ewing; Introduction by K. Lamotke; Translated by H.L.S. Orde; Hans Hermes, …
R2,353 Discovery Miles 23 530 Ships in 10 - 15 working days

This is a book about numbers - all kinds of numbers, from integers to p-adics, from rationals to octonions, from reals to infinitesimals. Who first used the standard notation for Â? Why was Hamilton obsessed with quaternions? What was the prospect for "quaternionic analysis" in the 19th century? This is the story about one of the major threads of mathematics over thousands of years. It is a story that will give the reader both a glimpse of the mystery surrounding imaginary numbers in the 17th century and also a view of some major developments in the 20th.

Topological Methods in Algebraic Geometry - Reprint of the 1978 Edition (Paperback, Reprint of the 1st ed): Friedrich Hirzebruch Topological Methods in Algebraic Geometry - Reprint of the 1978 Edition (Paperback, Reprint of the 1st ed)
Friedrich Hirzebruch; Translated by R. L. E. Schwarzenberger; Appendix by R. L. E. Schwarzenberger, A Borel
R1,592 Discovery Miles 15 920 Ships in 10 - 15 working days

In recent years new topological methods, especially the theory of sheaves founded by J. LERAY, have been applied successfully to algebraic geometry and to the theory of functions of several complex variables. H. CARTAN and J. -P. SERRE have shown how fundamental theorems on holomorphically complete manifolds (STEIN manifolds) can be for mulated in terms of sheaf theory. These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete. They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete. J. -P. SERRE has obtained important results on algebraic manifolds by these and other methods. Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic. K. KODAIRA and D. C. SPENCER have also applied sheaf theory to algebraic geometry with great success. Their methods differ from those of SERRE in that they use techniques from differential geometry (harmonic integrals etc. ) but do not make any use of the theory of STEIN manifolds. M. F. ATIYAH and W. V. D. HODGE have dealt successfully with problems on integrals of the second kind on algebraic manifolds with the help of sheaf theory. I was able to work together with K. KODAIRA and D. C. SPENCER during a stay at the Institute for Advanced Study at Princeton from 1952 to 1954."

Manifolds and Modular Forms (Hardcover, 1992 Ed.): Friedrich Hirzebruch, Thomas Berger, Rainer Jung Manifolds and Modular Forms (Hardcover, 1992 Ed.)
Friedrich Hirzebruch, Thomas Berger, Rainer Jung; Translated by Peter Landweber
R2,044 Discovery Miles 20 440 Ships in 10 - 15 working days

During the winter term 1987/88 I gave a course at the University of Bonn under the title "Manifolds and Modular Forms." Iwanted to develop the theory of "Elliptic Genera" and to leam it myself on this occasion. This theory due to Ochanine, Landweber, Stong and others was relatively new at the time. The word "genus" is meant in the sense of my book "Neue Topologische Methoden in der Algebraischen Geometrie" published in 1956: A genus is a homomorphism of the Thom cobordism ring of oriented compact manifolds into the complex numbers. Fundamental examples are the signature and the A-genus. The A-genus equals the arithmetic genus of an algebraic manifold, provided the first Chem class of the manifold vanishes. According to Atiyah and Singer it is the index of the Dirac operator on a compact Riemannian manifold with spin structure. The elliptic genera depend on a parameter. For special values of the parameter one obtains the signature and the A-genus. Indeed, the universal elliptic genus can be regarded as a modular form with respect to the subgroup r (2) of the modular group; the two cusps o giving the signature and the A-genus. Witten and other physicists have given motivations for the elliptic genus by theoretical physics using the free loop space of a manifold.

Arbeitstagung Bonn 1984 - Proceedings of the Meeting Held by the Max-Planck-Institut Fur Mathematik, Bonn, June 15-22, 1984... Arbeitstagung Bonn 1984 - Proceedings of the Meeting Held by the Max-Planck-Institut Fur Mathematik, Bonn, June 15-22, 1984 (English, German, Paperback, 1985 ed.)
Friedrich Hirzebruch, Joachim Schwermer, Silke Suter
R1,076 Discovery Miles 10 760 Ships in 10 - 15 working days
Prospects in Mathematics. (AM-70), Volume 70 (Paperback): Friedrich Hirzebruch, Lars Hoermander, John Milnor, Jean-Pierre... Prospects in Mathematics. (AM-70), Volume 70 (Paperback)
Friedrich Hirzebruch, Lars Hoermander, John Milnor, Jean-Pierre Serre, I. M. Singer
R1,595 Discovery Miles 15 950 Ships in 12 - 17 working days

Five papers by distinguished American and European mathematicians describe some current trends in mathematics in the perspective of the recent past and in terms of expectations for the future. Among the subjects discussed are algebraic groups, quadratic forms, topological aspects of global analysis, variants of the index theorem, and partial differential equations.

Ein Jahrhundert Mathematik 1890 - 1990 - Festschrift Zum Jubilaum Der DMV (German, Paperback, Softcover Reprint of the Original... Ein Jahrhundert Mathematik 1890 - 1990 - Festschrift Zum Jubilaum Der DMV (German, Paperback, Softcover Reprint of the Original 1st 1990 ed.)
Gerd Fischer, Friedrich Hirzebruch, Winfried Scharlau, Willi Toernig
R3,408 Discovery Miles 34 080 Ships in 10 - 15 working days

Zum Anlass des 100. Geburtstages der Deutschen Mathematiker-Vereinigung erscheint diese Festschrift, bestehend aus neunzehn Beitragen, in denen anerkannte Fachwissenschaftler die Entwicklung ihres jeweiligen mathematischen Fachgebietes beschreiben und dabei auch kritische Ruckschau auf die Geschichte der Deutschen Mathematiker-Vereinigung seit ihrer Grundung 1890 halten. Insbesondere der erste Beitrag setzt sich intensiv mit der Historie der Mathematik und der Mathematiker im Dritten Reich auseinander."Mit diesem Band wird ein wichtiger Beitrag zur bisher wenig entwickelten Geschichtsschreibung der neueren Mathematik geleistet. (R. Siegmund-Schultze in "Deutsche Literatur-Zeitung" 1,2/1992, Bd. 113)

Einfuhrung in die Funktionalanalysis (German, Paperback, 1991 ed.): Friedrich Hirzebruch, Winfried Scharlau Einfuhrung in die Funktionalanalysis (German, Paperback, 1991 ed.)
Friedrich Hirzebruch, Winfried Scharlau
R707 Discovery Miles 7 070 Ships in 10 - 15 working days
Codierungstheorie Und Ihre Beziehung Zu Geometrie Und Zahlentheorie. Primzahlen: Theorie Und Anwendung - 335. Sitzung Am 5.... Codierungstheorie Und Ihre Beziehung Zu Geometrie Und Zahlentheorie. Primzahlen: Theorie Und Anwendung - 335. Sitzung Am 5. November 1986 in Dusseldorf (F. Hirzebruch) / 359. Sitzung Am 7. Juni 1989 in Dusseldorf (D. Zagier) (German, Paperback, 1989 ed.)
Friedrich Hirzebruch
R1,521 Discovery Miles 15 210 Ships in 10 - 15 working days
0(n) - Mannigfaltigkeiten, Exotische Spharen Und Singularitaten (German, Paperback, 1968 ed.): Friedrich Hirzebruch, Karl H.... 0(n) - Mannigfaltigkeiten, Exotische Spharen Und Singularitaten (German, Paperback, 1968 ed.)
Friedrich Hirzebruch, Karl H. Mayer
R1,061 Discovery Miles 10 610 Ships in 10 - 15 working days
Neue Topologische Methoden in der Algebraischen Geometrie (German, Paperback, 2. Aufl. 1962): Friedrich Hirzebruch Neue Topologische Methoden in der Algebraischen Geometrie (German, Paperback, 2. Aufl. 1962)
Friedrich Hirzebruch
R1,559 Discovery Miles 15 590 Ships in 10 - 15 working days
Neue Topologische Methoden in der Algebraischen Geometrie (German, Paperback, 1956 ed.): Friedrich Hirzebruch Neue Topologische Methoden in der Algebraischen Geometrie (German, Paperback, 1956 ed.)
Friedrich Hirzebruch
R1,554 Discovery Miles 15 540 Ships in 10 - 15 working days
Zahlen (German, Paperback, 3. verb. Aufl. 1992): Klaus Lamotke Zahlen (German, Paperback, 3. verb. Aufl. 1992)
Klaus Lamotke; Heinz-Dieter Ebbinghaus, Hans Hermes, Friedrich Hirzebruch, Max Koecher, …
R1,168 Discovery Miles 11 680 Ships in 12 - 17 working days

Die Schwierigkeit Mathematik zu lernen und zu lehren ist jedem bekannt, der einmal mit diesem Fach in Beruhrung gekommen ist. Begriffe wie "reelle oder komplexe Zahlen, Pi" sind zwar jedem gelaufig, aber nur wenige wissen, was sich wirklich dahinter verbirgt. Die Autoren dieses Bandes geben jedem, der mehr wissen will als nur die Hulle der Begriffe, eine meisterhafte Einfuhrung in die Magie der Mathematik und schlagen einzigartige Brucken fur Studenten.

Die Rezensenten der ersten beiden Auflagen uberschlugen sich."

Topological Methods in Algebraic Geometry (English, German, Hardcover, 2nd Corr Print of the ed.): Friedrich Hirzebruch Topological Methods in Algebraic Geometry (English, German, Hardcover, 2nd Corr Print of the ed.)
Friedrich Hirzebruch
R1,812 Discovery Miles 18 120 Out of stock
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