Number Theory by Helmut Hasse
From the reviews: ...a fine book [...] When it appeared in 1949 it was a pioneer. But Hasse has something extra to offer.[...] Hasse proved that miracles do happen in his five beautiful papers on quadratic forms of 1923-1924. [...]It is trite but true: Every number-theorist should have this book on his or her shelf.-
Introduction to Calculus and Analysis I
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Finite Geometries
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Elliptic Partial Differential Equations of Second Order
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Function Theory in the Unit Ball of Cn
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The Analysis of Linear Partial Differential Operators III
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Combinatorial Group Theory
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Algebraic Geometry I
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Complex Manifolds and Deformation of Complex Structures
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Geometric Measure Theory
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Multiple Integrals in the Calculus of Variations
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Stability Theory of Dynamical Systems
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Lectures on Celestial Mechanics
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The Analysis of Linear Partial Differential Operators I
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Algebraic Surfaces
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Diffusion Processes and their Sample Paths
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Transformation Groups in Differential Geometry
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Topological Methods in Algebraic Geometry
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C*-Algebras and W*-Algebras
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The Theory of Stochastic Processes II
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Combinatorial Theory
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The Theory of Stochastic Processes I
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Theory of Stein Spaces
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Homology
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The Theory of Stochastic Processes III
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An Introduction to the Geometry of Numbers
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Introduction to Calculus and Analysis II/2
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Introduction to Quadratic Forms
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Entropy, Large Deviations, and Statistical Mechanics
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Hamiltonian Methods in the Theory of Solitons
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Einstein Manifolds
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Classical Potential Theory and Its Probabilistic Counterpart
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K-Theory
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Algebraic Topology - Homotopy and Homology
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Problems and Theorems in Analysis I
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Probability in Banach Spaces
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The Analysis of Linear Partial Differential Operators IV
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Lectures on Algebraic Topology
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Problems and Theorems in Analysis II
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Interacting Particle Systems
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The Analysis of Linear Partial Differential Operators II
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Practical Quantum Mechanics
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Perturbation Theory for Linear Operators
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Introduction to Calculus and Analysis II/1
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Functional Analysis
Biography of Helmut Hasse (1898-1979) Born on August 25, 1898 in Kassel, Germany, Helmut Hasse studied at the University of Gottingen after WWI. Of his teachers there including Landau, Hilbert and Ehmy Noether, Hecke influenced him most. In 1820, Hasse went to Marburg, and under the direction of Kurt Hensel, discovered what is now known as the Hasse principle, or "local-global" principle, in algebraic number theory. He held further positions at the universities in Kiel and Hall prior to 1933. With the troubles of 1933, Hermann Weyl, who had succeeded Hilbert in the foremost chair or mathematics in Germany, resigned and Helmut Hasse was appointed in this place. The following year, Hasse became director of the Mathematical Institute at Gottingen. From 1939 to 1945, Hasse worked in Berlin for the navy on problems in ballistics. He returned to Gottingen but was soon dismissed by the British occupation forces. In 1946 he took a research position at the Berlin Academy. Thereafter, he held positions at the Humboldt University in East Berlin, and, from 1950 until retirement in 1966, at the University of Hamburg. At Halle, Hasse obtained fundamental results on the structure of central simple algebras over local fields. In Marburg, he did joint work with Brauer and Emmy Noether on simple algebras, also on elliptic curves and topological fields. In particular, he proved the analogon of the Riemann Hypothesis for zeta functions of elliptic curves. Both of Hasse's famous books Auber die Klassenzahl abelscher Zahlkorper und Zahlentheorie appeared during his years in Berlin.
| SKU | Unavailable |
| ISBN 13 | 9783540427490 |
| ISBN 10 | 354042749X |
| Title | Number Theory |
| Author | Helmut Hasse |
| Series | Classics In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer |
| Year published | 2002-01-10 |
| Number of pages | 640 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |