Modular Forms by Toshitsune Miyake
This book is a translation of the earlier book written by Koji Doi and the author, who revised it substantially for this English edition. It offers the basic knowledge of elliptic modular forms necessary to understand recent developments in number theory. It also treats the unit groups of quaternion algebras, rarely dealt with in books;-
The Higher Infinite
-
Fredholm Theory in Topological Vector Spaces
-
Combinatorial Set Theory of C*-Algebras
-
Classical Lie Algebras at Infinity
-
Representation Theory of Finite Group Extensions
-
Geometric Approximation Theory
-
Determinants, Grobner Bases and Cohomology
-
Topics in Global Real Analytic Geometry
-
Mathematical Methods for Elastic Plates
-
Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians
-
The Weierstrass Sigma Function in Higher Genus and Applications to Integrable Equations
-
The Riordan Group and Applications
-
Domination in Graphs: Core Concepts
-
Real Algebraic Varieties
-
Curvature Measures of Singular Sets
-
Structure and Regularity of Group Actions on One-Manifolds
-
Superconcentration and Related Topics
-
Extremal Polynomials and Riemann Surfaces
-
Simplicial Partitions with Applications to the Finite Element Method
-
Microstructured Materials: Inverse Problems
-
Projective and Cayley-Klein Geometries
-
Monotone Complete C*-algebras and Generic Dynamics
-
Logical Foundations of Mathematics and Computational Complexity
-
Arithmetic of Quadratic Forms
-
Hardy Spaces on the Euclidean Space
-
Functional Analytic Techniques for Diffusion Processes
-
Harnack's Inequality for Degenerate and Singular Parabolic Equations
-
Structure and Geometry of Lie Groups
-
Inverse Linear Problems on Hilbert Space and their Krylov Solvability
-
Modular Forms: Basics and Beyond
-
The Absolute Galois Group of a Semi-Local Field
-
Hardy Operators, Function Spaces and Embeddings
-
Random Fields and Geometry
-
Positive Polynomials
-
Classical Fine Potential Theory
From the reviews of the first edition:
"Toshitune Miyake’s book is a useful introductory book on the subject of modular forms… Some key features of Miyake’s book are that it is accessible, well written, and well organized. … As a result, Miyake’s book is both an excellent first text from which to learn the subject and a very good reference. I have found myself returning to the book repeatedly for tidbits that are hard to find in the literature. … Miyake’s book is an excellent introduction to … modular forms." (Eknath Ghate, SIAM Review, Vol. 48 (3), 2006)
| SKU | Unavailable |
| ISBN 13 | 9783662221884 |
| ISBN 10 | 3662221888 |
| Title | Modular Forms |
| Author | Toshitsune Miyake |
| Series | Springer Monographs In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer |
| Year published | 2019-08-19 |
| Number of pages | 338 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |