Geometry

Analytic number theory and part of the spectral theory ofoperators (differential, pseudo-differential, elliptic,etc.

The ancient Greeks believed that everything in the Universe should be describable in terms of geometry.

This textbook introduces the special theory of relativity at a level which is accessible to undergraduate students and even high school students with a strong foundation in algebra.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela.

This text is a high-level introduction to the modern theory of dynamical systems; an analysis-based, pure mathematics course textbook in the basic tools, techniques, theory and development of both the abstract and the practical notions of mathematical modelling, using both discrete and continuous concepts and examples comprising what may be called the modern theory of dynamics.

Traditionally, Lie theory is a tool to build mathematical models for physical systems.

This book will allow you to travel through time and space.

Real analytic sets in Euclidean space (Le.

In one of the most stunning expositions of mathematical publishing, Oliver Byrne combines Euclid's geometric theories with vibrant colour proofs, turning what was already a cornerstone academic text into a pedagogical work of art.

This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry.

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.

This text presents the classical theory of conics in a modern form.

This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids.

Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists.

Locally symmetric spaces are generalizations of spaces of constant curvature.

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This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections.

Within traditional decision theory, common decision principles -- e.

This book is intended to be an introduction to Diophantine geometry.

Projective geometry, and the Cayley-Klein geometries embedded into it, were originated in the 19th century.

This book, Di?

This book tells the story of the first computer exploration of Klein''s vision of infinitely repeated reflections, featuring extraordinary images.

This coherent introduction provides a new perspective on group actions on R-trees.

Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry.

Was ist Geometrie?

Ramsey theory is a relatively "e;new,"e; approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measure theory.

The seventh book of Pappus's Collection, his commentary on the Domain (or Treasury) of Analysis, figures prominently in the history of both ancient and modern mathematics: as our chief source of information concerning several lost works of the Greek geometers Euclid and Apollonius, and as a book that inspired later mathematicians, among them Viete, Newton, and Chasles, to original discoveries in their pursuit of the lost science of antiquity.

This book provides a multitude of geometric constructions usually encountered in civil engineering and surveying practice.

The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.

The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry.

The so-called boundary element methods BEM, i.

Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstract algebra, algebraic geometry and representation theory.

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology.

This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry.

This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Over the last 15 years important results have been achieved in the field of Hilbert Modular Varieties.

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.

This book, first published in 2006, details how limit processes can be represented algebraically.

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout.