The Mathematics of Arbitrage
This long-awaited book aims at a rigorous mathematical treatment of the theory of pricing and hedging of derivative securities ...
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The Mathematics of Minkowski Space-Time : With an Introduction to Commutative Hypercomplex Numbers
Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special ...
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The Mathematics of the Bose Gas and its Condensation
This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem.It ...
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The Maximum Principle
Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in ...
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The Method of Approximate Inverse: Theory and Applications
Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that ...
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The Method of Intrinsic Scaling : A Systematic Approach to Regularity for Degenerate and Singular PDEs
This set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is ...
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The Monodromy Group
In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs ...
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The Monodromy Group
In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs ...
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The Nature of Statistical Evidence
The purpose of this book is to discuss whether statistical methods make sense. That is a fair question, at the heart of the ...
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The Novikov Conjecture
These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and ...
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The Numerate Leader: How to Pull Game-Changing Insights from Statistical Data / Thomas A. King
The Numerate Leader: How to Pull Game-Changing Insights from Statistical Data is a cutting-edge book that helps the reader ...
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The Physics of Phase Transitions
The physics of phase transitions is an important area at the crossroads of several fields that play central roles in materials ...
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The Random-Cluster Model
The random-cluster model has emerged in recent years as a key tool in the mathematical study of ferromagnetism. It may be ...
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The Riemann Hypothesis
The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, ...
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The Rise and Development of the Theory of Series up to the Early 1820s
The theory of series in the 17th and 18th centuries poses several interesting problems to historians. Most of the results ...
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The Schur Complement and Its Applications
The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of ...
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The Shaping of Arithmetic after C.F. Gausss Disquisitiones Arithmeticae
A book that traces the profound effect Gauss’s masterpiece has had on mathematics over the past two centuries. … The ...
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The Spatial Distribution of Microbes in the Environment
This volume highlights recent advances that have contributed to our understanding of spatial patterns and scale issues in ...
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The State Space Method
The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods ...
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The Statistical Analysis of Functional MRI Data
One of the most intriguing questions facing modern science is the inner workings of the human brain. Functional magnetic ...
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