Modular Forms: Basics and Beyond by Goro Shimura
This is an advanced book on modular forms. One of the principal new features of this book is the theory of modular forms of half-integral weight, another being the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types.-
The Higher Infinite
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Fredholm Theory in Topological Vector Spaces
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Combinatorial Set Theory of C*-Algebras
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Classical Lie Algebras at Infinity
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Representation Theory of Finite Group Extensions
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Geometric Approximation Theory
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Determinants, Grobner Bases and Cohomology
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Topics in Global Real Analytic Geometry
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Mathematical Methods for Elastic Plates
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Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians
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The Weierstrass Sigma Function in Higher Genus and Applications to Integrable Equations
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The Riordan Group and Applications
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Domination in Graphs: Core Concepts
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Real Algebraic Varieties
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Curvature Measures of Singular Sets
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Structure and Regularity of Group Actions on One-Manifolds
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Superconcentration and Related Topics
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Extremal Polynomials and Riemann Surfaces
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Simplicial Partitions with Applications to the Finite Element Method
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Modular Forms
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Microstructured Materials: Inverse Problems
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Projective and Cayley-Klein Geometries
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Monotone Complete C*-algebras and Generic Dynamics
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Logical Foundations of Mathematics and Computational Complexity
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Arithmetic of Quadratic Forms
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Hardy Spaces on the Euclidean Space
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Functional Analytic Techniques for Diffusion Processes
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Harnack's Inequality for Degenerate and Singular Parabolic Equations
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Structure and Geometry of Lie Groups
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Inverse Linear Problems on Hilbert Space and their Krylov Solvability
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The Absolute Galois Group of a Semi-Local Field
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Hardy Operators, Function Spaces and Embeddings
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Random Fields and Geometry
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Positive Polynomials
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Classical Fine Potential Theory
From the reviews:
“The book under review is a welcome addition to the existing literature on modular formsBeing written by one of the main contributors to this subject it is designed with great care and love to detailed proofs. … The book is complete in the sense that all statements are clearly formulated and proven in a very rigorous way. … use this book as a guided tour through much of Shimura’s work. Without any doubt this journey is rewarding.” (Stefan Kühnlein, Zentralblatt MATH, Vol. 1234, 2012)
Goro Shimura is currently a professor emeritus of mathematics at Princeton University.
| SKU | Unavailable |
| ISBN 13 | 9781489993557 |
| ISBN 10 | 148999355X |
| Title | Modular Forms: Basics and Beyond |
| Author | Goro Shimura |
| Series | Springer Monographs In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2014-01-25 |
| Number of pages | 178 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |