Geometry

This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces.

This volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications.

This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda's 60th birthday.

This monograph strives to introduce a solid foundation on the usage of Grobner bases in ring theory by focusing on noncommutative associative algebras defined by relations over a field K.

This volume consists of research papers and expository survey articles presented by the invited speakers of the conference on "e;Harmony of Grobner Bases and the Modern Industrial Society"e;.

Stochastic analysis on Riemannian manifolds without boundary has been well established.

The aim of the Sino-Japan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan.

The present volume grew out of an international conference on affine algebraic geometry held in Osaka, Japan during 3-6 March 2011 and is dedicated to Professor Masayoshi Miyanishi on the occasion of his 70th birthday.

We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra.

Noncommutative differential geometry is a novel approach to geometry, aimed in part at applications in physics.

Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples.

Although contact geometry and topology is briefly discussed in V I Arnol'd's book "e;Mathematical Methods of Classical Mechanics "e;(Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.

This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors.

This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms.

Karl Gustafson is the creator of the theory of antieigenvalue analysis.

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

This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010.

The aim of this book is to examine the geometry of our world and, by blending theory with a variety of every-day examples, to stimulate the imagination of the readers and develop their geometric intuition.

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.

Welcome to the world of scale symmetry, the last elementary symmetry and the least explored!

This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis.

Fractalize That!

Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales.

'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers.

In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics.

This book provides a systematic account of several breakthroughs in the modern theory of zeta functions.

This volume contains original papers and announcements of recent results presented by the main participants of the 5th International Colloquium on Differential Geometry and its Related Fields (ICDG2016).

This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism.

'Everyone interested in geometric dissections, and this kind of puzzles, either mathematically or recreationally will embrace this publication.

A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry - except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y.

Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology.

Harmonic mappings have played in recent years and will likely to play in the future an important role in Differential Geometry and Theoretical Physics, where they are known as s-models.

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature - gravitational, electromagnetic, strong nuclear, and weak nuclear.

This book is a collection of the lectures and talks presented in the Tohoku Forum for Creativity in the thematic year 2015 'Fundamental Problems in Quantum Physics: Strings, Black Holes and Quantum Information', and related events in the period 2014-2016.

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum.

Curious Curves is self-contained and unified in presentation.

Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering.

This book is by far the most comprehensive treatment of point and space groups, and their meaning and applications.

Nonlinearities exist in all process control systems.

This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used.

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities.

This book covers selected topics in geometry, algebra, calculus and probability theory.

This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc.

This textbook presents various automatic techniques based on Grobner bases elimination to prove well-known geometrical theorems and formulas.

This is a first textbook that is entirely focused on the up-to-date developments of null curves with their applications to science and engineering.

The purpose of this book is to introduce the reader to two interesting topics in geometry which have developed over the last fifteen years, namely, total mean curvature and submanifolds of finite type.

This book develops the mathematics of differential geometry in a way more intelligible to physicists and other scientists interested in this field.

Essentials of integral geometry in a homogenous space are presented and the focus is on the basic results and applications.

This volume discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification of conics and quadrics, and geometric transformations.

This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980.