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Index Theory with Applications to Mathematics and Physics

Index Theory with Applications to Mathematics and Physics describes, explains, and explores the Index Theorem of Atiyah and Singer, one;

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Geometric and Topological Methods for Quantum Field Theory

series of topics on geometry, topology, algebra, number theory methods and their applications to quantum field theory, the book covers topics;

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Discrete Mathematics and Applications

Advances in discrete mathematics are presented in this book with applications in theoretical mathematics and interdisciplinary research;

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Clifford Algebras

numbers and the quaternions. They are famously used in proofs of the Atiyah-Singer index theorem, to provide double covers (spin groups) of the;

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Clifford Algebras: An Introduction

numbers and the quaternions. They are famously used in proofs of the Atiyah-Singer index theorem, to provide double covers (spin groups) of the;

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Handbook of Quantum Field Theory

is a compilation of some present applications of Quantum Field Theory to these mentioned fields of modern physics and mathematics, in order to;

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Higher Index Theory

Index theory studies the solutions to differential equations on geometric spaces, their relation to the underlying geometry and topology;

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Topics in Operator Theory

area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse;

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Random Matrix Models and their Applications

Random matrices arise from, and have important applications to, number theory, probability, combinatorics, representation theory, quantum;

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Twistors in Mathematics and Physics

Twistor theory has become a diverse subject as it has spread from its origins in theoretical physics to applications in pure mathematics;

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Mathematical Sciences Research Institute Publications

Random matrices arise from, and have important applications to, number theory, probability, combinatorics, representation theory, quantum;

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Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its;

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Mathematics for Chemistry and Physics

Chemistry and physics share a common mathematical foundation. From elementary calculus to vector analysis and group theory, Mathematics;

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Applied Functional Analysis

, and gauge theory in elementary particle physics. The presentation is self-contained and requires only that readers be familiar with some basic;

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Atomicity through Fractal Measure Theory

theory. Applications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the;

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Recent Advances in Constructive Approximation Theory

post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to;

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Recent Advances in Constructive Approximation Theory

post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to;

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Tensor analysis with Applications

another. Albert Einstein found it to be an excellent tool for the presentation of his general theory of relativity and consequently tensor;

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Topics in Operator Theory

interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse;

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Noncommutative Geometry And Physics 3 - Proceedings Of The Noncommutative Geometry And Physics 2008, On K-theory And D-branes & Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformation Quantization And Noncommutative Geometry

of mathematics with actual and potential applications to a variety of domains in physics ranging from solid state to quantization of gravity. The;

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A User's Guide To Operator Algebras

The subject of operator algebras has experienced tremendous growth in recent years with significant applications to areas within algebraic;

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Functional Integrals

of fields of modern mathematics, such as analysis, the theory of differential and integral equations, probability theory and the theory of random;

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Topology and Condensed Matter Physics

introduced in a form accessible to physicists, and the use of topology in quantum, statistical and solid state physics has been developed with an;

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Differential Equations

This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical;

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Tensors and Manifolds

This book is a new edition of Tensors and Manifolds: With Applications to Mechanics and Relativity which was published in 1992. It;

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Partial Differential Equations Of First Order And Their Applications To Physics (2nd Edition)

Applied Sciences. The intention is to provide mathematicians with a wide view of the applications of this branch in physics, and to give;

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Theory of Distributions

physics. Introduces the theory, explicates mathematical structures and the Hilbert-space aspects, and presents applications to typical boundary;

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