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totalt 194 träffar
Mathematical Methods of Classical Mechanics
Updated version of a classic text (first published 1974 in Russian, and 1978 in English translation) by a man who for several decades has been universally acknowledged to stand at …
Deformation Theory
In the fall semester of 1979 I gave a course on deformation theory at Berkeley. My goal was to understand completely Grothendieck’s local study of the Hilbert scheme using the …
A Course in Functional Analysis
Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, …
Commutative Algebra II
From the Preface: 'topics are: valuation theory; theory of polynomial and power series rings (including generalizations to graded rings and modules); local algebra...the …
Cohomology of Groups
As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of …
Holomorphic Functions and Integral Representations in Several Complex Variables
The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the …
Gröbner Bases
This book covers Grobner bases theory embedded in an introduction to commutative algebra from a computational point of view. The book explains how the Buchberger algorithm and the …
Nonsmooth Analysis and Control Theory
In the last decades the subject of nonsmooth analysis has grown rapidly due to the recognition that nondifferentiable phenomena are more widespread, and play a more important role, …
Problems in Analytic Number Theory
This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior …
Number Theory in Function Fields
Elementary number theory is concerned with the arithmetic properties of the ring of integers, Z, and its field of fractions, the rational numbers, Q. Early on in the development of …
An Introduction to Knot Theory
This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Knots can be studied at many levels …
Fundamentals of Differential Geometry
The present book aims to give a fairly comprehensive account of the fundamentals of differential manifolds and differential geometry. The size of the book influenced where to stop, …