Geometry

Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry.

Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range.

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.

The book consists of a presentation from scratch of cycle space methodology in complex geometry.

One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition.

Articles from leading researchers to introduce the reader to cutting-edge topics in integrable systems theory.

This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanta, Romania, on August 26-September 1, 2018.

This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics.

Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects.

Geometric Measure Theory, Fourth Edition, is an excellent text for introducing ideas from geometric measure theory and the calculus of variations to beginning graduate students and researchers.

This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere.

Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory.

This book explores determinantal ideals of square matrices from the perspective of commutative algebra, with a particular emphasis on linear matrices.

An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition .

A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.

Comprehensive coverage of the foundations, applications, recent developments, and future of conformal differential geometry Conformal Differential Geometry and Its Generalizations is the first and only text that systematically presents the foundations and manifestations of conformal differential geometry.

Design of Hydrodynamic Machines provides a broad, yet concise, theoretical background on the relationship between fluid dynamics and geometry.

Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro.

A collection of articles giving overviews and open questions in singularities and their computational aspects.

From Combinatorics to Philosophy: The Legacy of G.

Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics.

Tough Test Questions?

"e;Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark.

This book introduces the reader to each phase of the subject, step-by-step to enable one to use the various automated drafting devices, instruments and technique of application.

Bornologies and Functional Analysis

This book serves as an illuminating introduction to the intricacies of the geometry of numbers.

From its birth (in Babylon?

Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries.

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to the study of some problems considered in nonlinear analysis, in geometry, and in applied mathematics.

This book provides a panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity.

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces.

The Nordic Summer School 1985 presented to young researchers the mathematical aspects of the ongoing research stemming from the study of field theories in physics and the differential geometry of fibre bundles in mathematics.

Mathematics develops both due to demands of other sciences and due to its internal logic.

In this second edition, the main additions are a section devoted to surfaces with constant negative curvature, and an introduction to conformal geometry.

This monograph is based on the author's results on the Riemannian ge- ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators (rulings) in a Riemannian space of nonnegative curvature.

Smooth Topological Design of Continuum Structures focuses on the use of a newly-proposed topology algorithm for structural optimization called Smooth-Edged Material Distribution for Optimizing Topology (SEMDOT).

In this book, the general theory of submanifolds in a multidimensional projective space is constructed.

Based on the conference/workshop on Continuum Theory and Dynamical Systems held in Lafayette, Louisiana, this reference illustrates the current expansion of knowledge on the relationship between these subjects.

A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.

These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization.

As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics.

One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting.

Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc.

During the last few years, the field of nonlinear problems has undergone great development.

Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications.

Field Arithmetic explores Diophantine fields through their absolute Galois groups.

This textbook presents the theory of Metric Spaces necessary for studying analysis beyond one real variable.