Geometry

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors.

This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity.

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

Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry.

The first contribution covers the theory of finite groups of Lie type, which is an important field of current mathematical research.

These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties.

A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold.

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program.

This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu- larities of stable differentiable mappings.

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds.

Vector Measures and Control Systems

The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties.

The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.

The book is devoted to recent research in the global variational theory on smooth manifolds.

An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems.

Symmetry and Pattern in Projective Geometry is a self-contained study of projective geometry which compares and contrasts the analytic and axiomatic methods.

This proceedings is a collection of articles in several complex variables with emphasis on geometric methods and results, which includes several survey papers reviewing the development of the topics in these decades.

The book explores the geometric and kinematic design of the various types of gears most commonly used in practical applications, also considering the problems concerning their cutting processes.

In the two-volume set 'A Selection of Highlights' we present basics of mathematics in an exciting and pedagogically sound way.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

This collection of contributions originates from the well-established conference series "e;Fractal Geometry and Stochastics"e; which brings together researchers from different fields using concepts and methods from fractal geometry.

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

"e;Mirrors and Reflections"e; presents a systematic and elementary introduction to the properties of finite groups generated by reflections.

This book reports on an original approach to problems of loci.

I had mixed feelings when I thought how I should prepare the book for the second edition.

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

From the reviews: "e;This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry.

Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry.

This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non- Euclidean Geometry.

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.

Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics.

Essential mathematical insights into one of the most important and challenging open problems in general relativity-the stability of black holesOne of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations.

This encyclopedia presents an all-embracing collection of analytical surface classes.

Learning at home is now the new normal.

Issues of matching and searching on elementary discrete structures arise pervasively in computer science and many of its applications, and their relevance is expected to grow as information is amassed and shared at an accelerating pace.

This book deals with two subjects.

This book describes in detail the basic context of the Banach setting and the most important Lie structures found in finite dimension.

New mathematical research in arithmetic dynamicsIn The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics.