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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations(AMS-210)

Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations: (AMS-210)

Jérémie Szeftel and Sergiu Klainerman

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691212425
eISBN:
9780691218526
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691212425.001.0001
Subject:
Mathematics, Geometry / Topology

One of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations. An affirmative answer to this question would provide strong theoretical ... More

A Hierarchy of Turing DegreesA Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definability (AMS-206)

A Hierarchy of Turing Degrees: A Transfinite Hierarchy of Lowness Notions in the Computably Enumerable Degrees, Unifying Classes, and Natural Definability (AMS-206)

Rod Downey and Noam Greenberg

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691199665
eISBN:
9780691200217
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691199665.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

Computability theory is a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The field has developed growing connections in diverse areas of ... More

Berkeley Lectures on p-adic Geometry(AMS-207)

Berkeley Lectures on p-adic Geometry: (AMS-207)

Peter Scholze and Jared Weinstein

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691202082
eISBN:
9780691202150
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202082.001.0001
Subject:
Mathematics, Geometry / Topology

This book presents an important breakthrough in arithmetic geometry. In 2014, this book's author delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory ... More

Delay-Adaptive Linear Control

Delay-Adaptive Linear Control

Yang Zhu and Miroslav Krstic

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691202549
eISBN:
9780691203317
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202549.001.0001
Subject:
Mathematics, Applied Mathematics

Actuator and sensor delays are among the most common dynamic phenomena in engineering practice, and when disregarded, they render controlled systems unstable. Over the past sixty years, predictor ... More

Introductory Lectures on Equivariant Cohomology(AMS-204)

Introductory Lectures on Equivariant Cohomology: (AMS-204)

Loring W. Tu

Published in print:
2020
Published Online:
January 2021
ISBN:
9780691191751
eISBN:
9780691197487
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691191751.001.0001
Subject:
Mathematics, Educational Mathematics

Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been introduced into ... More

Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions(AMS-203)

Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions: (AMS-203)

Anantharam Raghuram and Günter Harder

Published in print:
2019
Published Online:
September 2020
ISBN:
9780691197890
eISBN:
9780691197937
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691197890.001.0001
Subject:
Mathematics, Number Theory

This book studies the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of ... More

Arithmetic and GeometryTen Years in Alpbach (AMS-202)

Arithmetic and Geometry: Ten Years in Alpbach (AMS-202)

Gisbert Wüstholz and Clemens Fuchs (eds)

Published in print:
2019
Published Online:
May 2020
ISBN:
9780691193779
eISBN:
9780691197548
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691193779.001.0001
Subject:
Mathematics, Geometry / Topology

This book presents highlights of recent work in arithmetic algebraic geometry by some of the world's leading mathematicians. Together, these 2016 lectures—which were delivered in celebration of the ... More

Reverse MathematicsProofs from the Inside Out

Reverse Mathematics: Proofs from the Inside Out

John Stillwell

Published in print:
2019
Published Online:
May 2020
ISBN:
9780691196411
eISBN:
9781400889037
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691196411.001.0001
Subject:
Mathematics, History of Mathematics

Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. Reverse mathematics began as a technical field of mathematical logic, but its main ideas have ... More

Statistical Inference via Convex OptimizationProofs from the Inside Out

Statistical Inference via Convex Optimization: Proofs from the Inside Out

John Stillwell

Published in print:
2019
Published Online:
September 2020
ISBN:
9780691197296
eISBN:
9780691200316
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691197296.001.0001
Subject:
Mathematics, Computational Mathematics / Optimization

Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. Reverse mathematics began as a technical field of mathematical logic, but its main ideas have ... More

The Master Equation and the Convergence Problem in Mean Field Games(AMS-201)

The Master Equation and the Convergence Problem in Mean Field Games: (AMS-201)

Pierre Cardaliaguet, François Delarue, Jean-Michel Lasry, and Pierre-Louis Lions

Published in print:
2019
Published Online:
May 2020
ISBN:
9780691190716
eISBN:
9780691193717
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691190716.001.0001
Subject:
Mathematics, Applied Mathematics

This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical ... More

The Norm Residue Theorem in Motivic Cohomology

The Norm Residue Theorem in Motivic Cohomology

Christian Haesemeyer and Charles A. Weibel

Published in print:
2019
Published Online:
January 2020
ISBN:
9780691191041
eISBN:
9780691189635
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691191041.001.0001
Subject:
Mathematics, Geometry / Topology

This book presents the complete proof of the Bloch–Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these ... More

Formal Verification of Control System Software

Formal Verification of Control System Software

Pierre-Loïc Garoche

Published in print:
2019
Published Online:
January 2020
ISBN:
9780691181301
eISBN:
9780691189581
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181301.001.0001
Subject:
Mathematics, Applied Mathematics

The verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive. The failure of controller software can ... More

Quantum Mechanics

Quantum Mechanics

Stanley Chang

Published in print:
2019
Published Online:
May 2021
ISBN:
9780691160498
eISBN:
9780691200354
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691160498.001.0001
Subject:
Mathematics, Geometry / Topology

Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. This book offers a modern look at this important mathematical discipline and some of its ... More

The Plaid Model(AMS-198)

The Plaid Model: (AMS-198)

Richard Evan Schwartz

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.001.0001
Subject:
Mathematics, Educational Mathematics

Outer billiards provides a toy model for planetary motion and exhibits intricate and mysterious behavior even for seemingly simple examples. It is a dynamical system in which a particle in the plane ... More

Weil's Conjecture for Function FieldsVolume I (AMS-199)

Weil's Conjecture for Function Fields: Volume I (AMS-199)

Dennis Gaitsgory and Jacob Lurie

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691182148
eISBN:
9780691184432
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691182148.001.0001
Subject:
Mathematics, Mathematical Finance

A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at ... More

The Mathematics of Various Entertaining SubjectsResearch in Games, Graphs, Counting, and Complexity, Volume 2

The Mathematics of Various Entertaining Subjects: Research in Games, Graphs, Counting, and Complexity, Volume 2

Jason Rosenhouse and Jennifer Beineke (eds)

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691171920
eISBN:
9781400889136
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691171920.001.0001
Subject:
Mathematics, History of Mathematics

The history of mathematics is filled with major breakthroughs resulting from solutions to recreational problems. Problems of interest to gamblers led to the modern theory of probability, for example, ... More

Office Hours with a Geometric Group Theorist

Office Hours with a Geometric Group Theorist

Dan Margalit and Matt Clay (eds)

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691158662
eISBN:
9781400885398
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691158662.001.0001
Subject:
Mathematics, Geometry / Topology

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. This ... More

Noncooperative Game TheoryAn Introduction for Engineers and Computer Scientists

Noncooperative Game Theory: An Introduction for Engineers and Computer Scientists

João P. Hespanha

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175218
eISBN:
9781400885442
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175218.001.0001
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This book is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. The book shows that such design challenges can be ... More

Asymptotic Differential Algebra and Model Theory of Transseries

Asymptotic Differential Algebra and Model Theory of Transseries

Matthias Aschenbrenner, Lou van den Dries, and Joris van der Hoeven

Published in print:
2017
Published Online:
October 2017
ISBN:
9780691175423
eISBN:
9781400885411
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175423.001.0001
Subject:
Mathematics, Computational Mathematics / Optimization

Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a ... More

The Fascinating World of Graph Theory

The Fascinating World of Graph Theory

Ping Zhang, Gary Chartrand, and Arthur Benjamin

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175638
eISBN:
9781400852000
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175638.001.0001
Subject:
Mathematics, Applied Mathematics

Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, ... More

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