Geometry

A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.

Develops the modern theory of symmetrization including applications to geometry, PDEs, and real and complex analysis.

47 brauchen nur den Nennern so groß zu wählen, daß das Intervall [0, 1/n] kleiner wird als das fragliche Intervall [A, B], dann muß mindestens einer der Brüche mfn innerhalb des Intervalls liegen.

This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations.

This encyclopedia contains trigonometric identity proofs for some three hundred identities.

Die Nichtstandard-Mathematik hat in den letzten Jahren einen gewaltigen Aufschwung erfahren und die Entwicklungen in den verschiedenartigsten Gebieten beeinflußt und befruchtet.

Topics include transformations, lighting and shading, ray tracing, radiosity, texture mapping, colour theory, and aspects of animation.

This book presents original research applying mathematics to musical rhythm, with a focus on computational methods, theoretical approaches, analysis of rhythm in folk and global music traditions, syncopation, and maximal evenness.

A gentle introduction to the geometry of convex sets in n-dimensional spaceGeometry of Convex Sets begins with basic definitions of the concepts of vector addition and scalar multiplication and then defines the notion of convexity for subsets of n-dimensional space.

Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.

The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way.

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The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics.

Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the construction of a Laplacian on the Sierpinski gasket and related fractals.

Discover and understand mathematical theorems through paper folding, starting with high school algebra and geometry through to more advanced concepts.

In connection with the "e;Philosophy of Science"e; research program conducted by the Deutsche Forschungsgemeinschaft a colloquium was held in Munich from 18th to 20th May 1919.

One of the basic ideas in differential geometry is that the study of analytic properties of certain differential operators acting on sections of vector bundles yields geometric and topological properties of the underlying base manifold.

The three-volume set, consisting of LNCS 10116, 10117, and 10118, contains carefully reviewed and selected papers presented at 17 workshops held in conjunction with the 13th Asian Conference on Computer Vision, ACCV 2016, in Taipei, Taiwan in November 2016.

Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations.

This book presents a differential geometric method for designing nonlinear observers for multiple types of nonlinear systems, including single and multiple outputs, fully and partially observable systems, and regular and singular dynamical systems.

This book focuses on the study of the volume of vector fields on Riemannian manifolds.

Hit the geometry wall?

An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision.

An engaging graduate-level introduction that bridges analysis and geometry.

This book contains a collection of papers presented at the 2nd Tbilisi Salerno Workshop on Mathematical Modeling  in March 2015.

The first comprehensive and up-to-date account of discriminant equations and their applications.

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

A unified account of a powerful classical method, illustrated by applications in number theory.

"e;Of chief interest to mathematicians, but physicists and others will be fascinated .

The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics.

This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field.

Having trouble with geometry?

An introduction to the ideas of geometry and includes generous helpings of simple explanations and examples.

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

This proceedings is a collection of articles on Topology and Teichmuller Spaces.

This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity.

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras.

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

A pioneering new nonlinear approach to a fundamental question in algebraic geometryOne of the crowning achievements of nineteenth-century mathematics was the proof that the geometry of lines in space uniquely determines the Cartesian coordinates, up to a linear ambiguity.

This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas.

This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces.

The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'.

This book is a tribute to the memory of Yuri Ivanovich Manin, who passed away on January 7, 2023.

Hofstadter's Law: It always takes longer than you think it will take, even if you take into account Hofstadter's Law.

Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution.

This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations.