Geometry

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.

This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions.

This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary.

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).

William Thurston's ideas have altered the course of twentieth century mathematics, and they continue to have a significant influence on succeeding generations of mathematicians.

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

The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics.

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.

This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds.

This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting "e;Homological and Computational Methods in Commutative Algebra"e; held in Cortona (Italy) from May 30 to June 3, 2016 .

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.

This volume presents a panorama of the diverse activities organized by V.

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.

Advances in science and technology necessitate the use of increasingly-complicated dynamic control processes.

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.

This book is based on lectures on geometry at the University of Bergen, Norway.

This volume contains the courses and lectures given during the workshop on Differential Geometry and Topology held at Alghero, Italy, in June 1992.

This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics.

The book is a self-contained introduction to the results and methods in classical invariant theory.

It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms.

Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis.

The main objective of the book is to teach how to practically construct periodic tessellations with stars and rosettes using an Interactive Geometry Software (IGS).

This book is an enhanced and expanded English edition of the treatise "e;Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,"e; published by the Accademia delle Scienze di Torino in volume no.

This volume of proceedings contains research results within the framework of the fields of Chaos, Fractals and Complexity, written by experienced professors, young researchers, and applied scientists.

This 2003 volume consists of the first two volumes of Mukai''s series on moduli theory.

This book presents the reader with a fresh and unconventional approach to teaching crystallographic symmetry.

This book is the second volume of a work on complex analytic cycles and the results, stated without proof in the first volume, are proved here.

This book is an introduction to modern methods of symplectic topology.

'The book is well-illustrated, earlier chapters with monochrome portraits of Mandelbrot, his family and those who influenced him, and later ones with striking colour pictures not only of the Mandelbrot set and other computer generated fractals, but also of areal fractals including cloud formations and rural and mountain scenes .

The study of hypersurface quadrilateral singularities can bereduced to the study of elliptic K3 surfaces with a singularfiber of type I * 0 (superscript *, subscript 0), andtherefore these notes consider, besides the topics of thetitle, such K3 surfaces too.

This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields.

This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space.

The aim of this book is to describe Calabi's original work on Kahler immersions of Kahler manifolds into complex space forms, to provide a detailed account of what is known today on the subject and to point out some open problems.