Geometry

It has been hard for me to escape the imprint of my early, strong, but scattered trains of thought.

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This is a book that the author wishes had been available to him when he was student.

This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups.

This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces.

Progress in low-dimensional topology has been very quick in the last three decades, leading to the solutions of many difficult problems.

Multivariable analysis is an important subject for mathematicians, both pure and applied.

Divisor Theory in Module Categories

Originally written in Russian and used in the Gelfand Correspondence School, "e;Lines and Curves"e; has since become a classic: the exposition maintains mathematical rigor while balancing creative storytelling and unusual examples of geometric properties.

The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume.

This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems.

This volume contains 18 research papers on algebraic geometry, algebraic number theory and algebraic groups.

This text is designed to update the Differential Geometry course by making it more relevant to today's students.

DeMYSTiFieD is your solution for tricky subjects like trigonometryIf you think a Cartesian coordinate is something from science fiction or a hyperbolic tangent is an extreme exaggeration, you need Trigonometry DeMYSTiFieD, Second Edition, to unravel this topic's fundamental concepts and theories at your own pace.

Presented in this monograph is the current state-of-the-art in the theory of convex structures.

This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry.

A comprehensive account, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces.

The book, based on the INdAM Workshop "e;Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology"e; provides a bridge between different communities of mathematicians who utilize splines in their work.

This 2003 book investigates interplay between algebra and geometry.

The Hardy-Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists.

A gentle introduction to the geometry of convex sets in n-dimensional spaceGeometry of Convex Sets begins with basic definitions of the concepts of vector addition and scalar multiplication and then defines the notion of convexity for subsets of n-dimensional space.

Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems.

Interest in the study of geometry is currently enjoying a resurgence-understandably so, as the study of curves was once the playground of some very great mathematicians.

A comprehensive look at convexity and its mathematical ramifications.

No detailed description available for "e;Dirichlet Forms and Stochastic Processes"e;.

The aim of the book is to give a broad introduction of topology to undergraduate students.

This Lecture Notes volume is the fruit of two research-level summer schools jointly organized by the GTEM node at Lille University and the team of Galatasaray University (Istanbul): "e;Geometry and Arithmetic of Moduli Spaces of Coverings (2008)"e; and "e;Geometry and Arithmetic around Galois Theory (2009)"e;.

This classic text appears here in a new edition for the first time in four decades.

This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.

This book arose from a conference on "e;Singularities and Computer Algebra"e; which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel's 70th birthday.

"e;Still waters run deep.

Fractal geometry is used to model complicated natural and technical phenomena in various disciplines like physics, biology, finance, and medicine.

Aus den Rezensionen: "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch!

Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM).

Lecture notes and research papers on optimal transportation, its applications, and interactions with other areas of mathematics.

There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions.

Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number theory, and analysis, stimulated in part by Hurwitz's proof of the isoperimetric inequality using Fourier series.

This volume is a collection of research surveys on the Distance Geometry Problem (DGP) and its applications.

Whoever you are!

Algorithms in algebraic geometry go hand in hand with software packages that implement them.

Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.

This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces.