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Fourier Integral Operators
Duistermaat, J.J.;
 

This volume is a useful introduction to the subject of Fourier Integral Operators and is based on the author's classic set of notes. Covering a range of topics from...

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Analytic D-Modules and Applications
Bjork, Jan-Erik; Bj Rk, Jan-Erik
 
This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough...
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Numerical Solution of Stochastic...
Kloeden, Peter E.; Platen, Eckhard
 

The numerical analysis of stochastic differential equations (SDEs) differs significantly from that of ordinary differential equations. This book provides an easily...

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Symplectic Methods in Harmonic...
Gosson, Maurice A. de;
 
The novel approach to deformation quantization outlined in this text makes use of established tools in time-frequency analysis. As one of the first volumes to discuss mathematical physics using Feichtinger's...
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Ramsey Theory : Yesterday, Today, and...
Soifer, Alexander;
 
This book explores the theory's history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the...
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Functional Analysis Methods for...
Gupur, Geni;
 

The main goal of this book is to introduce readers to functional analysis methods, in particular, time dependent analysis, for reliability models. Understanding the...

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Linear Chaos
Linear Chaos (Paperback)
Gresse-Erdmann, Karl-G.; Peris...
 
It is commonly believed that chaos is linked to non-linearity, however many (even quite natural) linear dynamical systems exhibit chaotic behavior. The study of these...
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The Kepler Conjecture
Lagarias, Jeffrey C.;
 
The Kepler conjecture, one of geometry's oldest unsolved problems. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the cannonball packing...
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A Short Course on Operator Semigroups
Klaus-Jochen Engel; Rainer Nagel
 
The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want...
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A Course in Calculus and Real Analysis
Ghorpade, Sudhir R.; Limaye, Balmohan...
 

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural ...

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Essentials of Integration Theory for...
Stroock, Daniel W.;
 
'A Concise Introduction to the Theory of Integration' was once a best-selling Birkhäuser title which published 3 editions. This manuscript is a substantial revision ...
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The Fundamental Theorem of Algebra
Fine, Benjamin; Rosenberger, Gerhard
 
The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three...
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Inverse Problems for Partial...
Isakov, Victor;
 
A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of...
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Problems in Real Analysis : Advanced...
Radulescu, Teodora-Liliana; ...
 

Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim...

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Lectures on Morse Homology
Banyaga, Augustin; Hurtubise, David
 

This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy...

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D-Modules, Perverse Sheaves, and...
Hotta, Ryoshi; Takeuchi, Kiyoshi;...
 

D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and...

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