Geometry

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

This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds.

This book is intended to be an introduction to Diophantine geometry.

In honour of the 65th birthday of Professor M Obata a workshop was held at Keio University.

The golden age of mathematics-that was not the age of Euclid, it is ours.

This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed.

Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures.

The workshop was set up in order to stimulate the interaction between (finite and algebraic) geometries and groups.

Quasitopoi generalize topoi, a concept of major importance in the theory of Categoreis, and its applications to Logic and Computer Science.

A thoroughly revised introduction to non-commutative geometry.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

The present volume is the culmination often years' work separately and joint- ly.

This book can be seen as a continuation of Equations and Inequalities: El- ementary Problems and Theorems in Algebra and Number Theory by the same authors, and published as the first volume in this book series.

Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual to design them.

The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps.

This is the first existing volume that collects lectures on this important and fast developing subject in mathematics.

This book's subject lies in the nexus of partial differential equations, operator theory, and complex analysis.

The study of geometry can play an important role in stimulating mathematical imagination and intuition, particularly in its relation to algebra.

This book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections.

This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function).

This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021.

This second volume shows how factorization algebras arise from interacting field theories, both classical and quantum.

The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics.

Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.

This book is an introductory graduate-level textbook on the theory of smooth manifolds.

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

A comprehensive overview of modern Banach space theory.

This volume is based on four advanced courses held at the Centre de Recerca Matematica (CRM), Barcelona.

Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress.

Nolan Wallach's mathematical research is remarkable in both its breadth and depth.

Fluid Mechanics: A Geometrical Point of View emphasizes general principles of physics illustrated by simple examples in fluid mechanics.

Functional Analysis: Surveys and Recent Results

This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University.

This book offers a review of the vibrant areas of geometric representation theory and gauge theory, which are characterized by a merging of traditional techniques in representation theory with the use of powerful tools from algebraic geometry, and with strong inputs from physics.

This second edition provides a thorough introduction to contemporary convex function theory with many new results.

Fill in any gaps in your knowledge with this overview of key topics in undergraduate mathematics, now with four new chapters.

The general theory of relativity, as formulated by Albert Einstein in 1915, provided an astoundingly original perspective on the physical nature of gr- itation, showing that it could be understood as a feature of a curvature in the four-dimensional continuum of space-time.

Nature is full of spidery patterns: lightning bolts, coastlines, nerve cells, termite tunnels, bacteria cultures, root systems, forest fires, soil cracking, river deltas, galactic distributions, mountain ranges, tidal patterns, cloud shapes, sequencing of nucleotides in DNA, cauliflower, broccoli, lungs, kidneys, the scraggly nerve cells that carry signals to and from your brain, the branching arteries and veins that make up your circulatory system.

This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties.

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

The theories of V.

This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference.

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.

Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories.

This book presents, in a clear and structured way, the set function \mathcal{T} and how it evolved since its inception by Professor F.

Dank sich zahlreich ergebender Anwendungsmöglichkeiten gewinnt das Proximity-Konzept zunehmend an Stellenwert in der Topologie und findet insbesondere auch in der theoretischen Physik Beachtung.