Fourier Analysis: Volume 1, Theory by Adrian Constantin
Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study.-
Hyperbolic Geometry from a Local Viewpoint
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Undergraduate Algebraic Geometry
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The Prime Number Theorem
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Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean type
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Notes on Hamiltonian Dynamical Systems
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LMSST: 24 Lectures on Elliptic Curves
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A Brief Guide to Algebraic Number Theory
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Designs, Graphs, Codes and their Links
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The Laplacian on a Riemannian Manifold
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Logic, Induction and Sets
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Fourier Analysis on Finite Groups and Applications
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Introduction to Combinators and (lambda) Calculus
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Representation Theorems in Hardy Spaces
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Introduction to Approximate Groups
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The Block Theory of Finite Group Algebras
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Hyperbolic Geometry
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Random Graphs, Geometry and Asymptotic Structure
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Undergraduate Commutative Algebra
- Nearly Invariant Subspaces and their Applications
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Differential Topology
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Celestial Mechanics
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Sets and Transfinite Algebra
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The Shrikhande Graph
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Topics in Cyclic Theory
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An Introduction to the Theory of Graph Spectra
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Clifford Algebras: An Introduction
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The Riemann Hypothesis for Function Fields
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Introduction to Banach Algebras, Operators, and Harmonic Analysis
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Fast Track to Forcing
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The Block Theory of Finite Group Algebras: Volume 1
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Computational Algebraic Geometry
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Lectures on Kahler Geometry
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Semigroups of Linear Operators
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An Introduction to Noncommutative Noetherian Rings
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The Calculus of Braids
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A Gentle Introduction to Homological Mirror Symmetry
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Set Theory
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Tensor Products of C*-Algebras and Operator Spaces
'[Fourier Analysis: Volume l - Theory is] fabulous … Constantin structures his exercise sets beautifully, I think: they are abundant and long, covering a spectrum of levels of difficulty; each set is followed immediately by a section of hints (in one-one correspondence); finally the hints sections are followed by very detailed and well-written solutions (also bijectively)Can there be any clearer homage to the maxim that to learn mathematics one has to get one's hands really dirty? To boot, attention to detail is ubiquitous: it's everywhere in Constantin's presentation of proofs and arguments, as well as examples, all throughout the narrative itself. The entire presentation is very much to the point and the student who works through this book will come out knowing some real mathematics very well.' Michael Berg, MAA Reviews
Adrian Constantin is currently Professor of Mathematics at the University of Vienna. He is an ISI Highly Cited Researcher and was invited to be plenary speaker at the 6th European Congress of Mathematics. He has received a number of international awards, including the Fluid Dynamics Research prize of the Japanese Society of Fluid Mechanics, the F. W. Bessel Research Award of the Humboldt Foundation (Germany), and the G. Gustafsson Prize of the Royal Swedish Academy of Sciences.
| SKU | Unavailable |
| ISBN 13 | 9781107044104 |
| ISBN 10 | 1107044103 |
| Title | Fourier Analysis: Volume 1, Theory |
| Author | Adrian Constantin |
| Series | London Mathematical Society Student Texts |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2016-06-02 |
| Number of pages | 368 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |