Topological phases of quantum materials and brane charges in M-theory are measured by extraordinary cohomology theories defined on orbifold spacetimes.
Topological phases of quantum materials and brane charges in M-theory are measured by extraordinary cohomology theories defined on orbifold spacetimes.
This book addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies.
An introduction to the state of the art in the study of Kahler groupsThis book gives an authoritative and up-to-date introduction to the study of fundamental groups of compact Kahler manifolds, known as Kahler groups.
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject.
'Guillemin and Haines goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms.
These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject.
'Guillemin and Haines goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms.
This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications.
This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications.
This book offers a comprehensive and self-contained introduction to the geometric and algebraic foundations essential for modern theoretical physics, engineering, and materials science.
This book offers a comprehensive and self-contained introduction to the geometric and algebraic foundations essential for modern theoretical physics, engineering, and materials science.
This volume is based on the talks presented at the "e;New Frontiers in Homogenization and Fractional Calculus"e; conference, held at CRM-Barcelona on March 24–25, 2025.
This volume is based on the talks presented at the "e;New Frontiers in Homogenization and Fractional Calculus"e; conference, held at CRM-Barcelona on March 24–25, 2025.
This monograph presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations, including curvature flow equations.
This monograph presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations, including curvature flow equations.
"e;Symplectic Geometric Algorithms for Hamiltonian Systems"e; will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc.
This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("e;H-surfaces"e;) and its analytical framework.
Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory.
In Hypo-Analytic Structures Franois Treves provides a systematic approach to the study of the differential structures on manifolds defined by systems of complex vector fields.
A classic treatment of curvature and Betti numbers from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.
A classic work from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.
The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic?
A classic treatment of minimal submanifolds from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.
One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years.
The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory.
This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics.
A classic treatment of the Atiyah-Singer index theorem from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.
John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P.
Questo libro è scritto per studenti della laurea magistrale in Fisica o in Matematica che desiderano apprendere i fondamenti della teoria classica dei campi, con particolare riguardo al linguaggio matematico ed alle applicazioni fisiche.
Questo libro è scritto per studenti della laurea magistrale in Fisica o in Matematica che desiderano apprendere i fondamenti della teoria classica dei campi, con particolare riguardo al linguaggio matematico ed alle applicazioni fisiche.
Anschauliche Geometrie - wohl selten ist ein Mathematikbuch seinem Titel so gerecht geworden wie dieses außergewöhnliche Werk von Hilbert und Cohn-Vossen.
This textbook offers a self-contained introduction to the theory of connections on vector bundles that is accessible to both advanced undergraduate students and graduate students.
This textbook offers a self-contained introduction to the theory of connections on vector bundles that is accessible to both advanced undergraduate students and graduate students.
Geometría diferencial de curvas y superficies es un texto dirigido a estudiantes de educación superior, que estén empezando su ciclo de profesionalización en programas académicos de ciencias e ingenierías, y que tengan conocimientos previos de cálculo en varias variables y álgebra lineal; y se enfoca más en aspectos geométricos que en aspectos de análisis o de topología, con el objetivo de desarrollar en el estudiante su intuición geométrica.
Few people outside of mathematics are aware of the varieties of mathemat- ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others.
Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory.
