Geometry

It is often said that mathematics and music go together, and that people with a special aptitude for mathematics often have similar gifts in music.

In 1884, Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures-who think and speak and have all too human emotions.

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This book, Di?

Barron's two-book Regents Geometry Power Pack provides comprehensive review, actual administered exams, and practice questions to help students prepare for the Geometry Regents exam.

This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications.

This textbook provides a second course in complex analysis with a focus on geometric aspects.

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

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

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?

In these notes we consider two kinds of nonlinear evolution problems of von Karman type on Euclidean spaces of arbitrary even dimension.

Im Vordergrund dieser völlig überarbeiteten und erweiterten Neuauflage stehen die eigentlichen "stochastischen" Ideen und ihre praktischen Anwendungen, insbesondere in der Statistik, ohne daß mathematische Strenge und Schönheit zu kurz kommen.

This book develops and applies a theory of the ambient metric in conformal geometry.

Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way.

This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance.

This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties.

Extending Griffiths' classical theory of period mappings for compact Kahler manifolds, this book develops and applies a theory of period mappings of "e;Hodge-de Rham type"e; for families of open complex manifolds.

Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces.

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This textbook is intended for a course in algebraic topology at the beginning graduate level.

Concise and modern introduction to differential topology with a hands-on approach and plentiful examples and exercises.

The discoveries of the past decade have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology.

Ramsey theory is a relatively "e;new,"e; approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measure theory.

Das vorliegende Buch zielt auf eine Vertiefung und Erweiterung geometrischer Kenntnisse von Studierenden der Mathematik und der Physik nach dem Grundstudium, und zwar an Hand unterschiedlicher, attraktiver, elementar-zugänglicher Themen der Geometrie.

This book presents an original approach to the theory of finite groups, placing finite sporadic groups on an equal footing.

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

Die Theorie der Linearen Algebra hat inzwischen die engen Grenzen geometrischer Problemstellungen weit hinter sich gelassen.

The focus of this monograph is converting-reshaping-one 3D convex polyhedron to another via an operation the authors call "e;tailoring.

Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics.

This graduate level text covers an exciting and active area of research at the crossroads of several different fields in Mathematics and Physics.

Over the last two decades, topological ideas have found increasingly more applications in quantum field theory.

A mathematician, like a painter or a poet, is a maker of patterns.

This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples.

J.

[From the foreword by B.

Now in its third decade, the Colorado Mathematical Olympiad (CMO), founded by the author, has become an annual state-wide competition, hosting many hundreds of middle and high school contestants each year.

This volume presents lectures given at the Wisla 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisla, Poland, and was organized by the Baltic Institute of Mathematics.

Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

Gorenstein homological algebra is an important area of mathematics, with applications in commutative and noncommutative algebra, model category theory, representation theory, and algebraic geometry.