Geometry

There are many technical and popular accounts, both in Russian and in other languages, of the non-Euclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography.

This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry.

This volume offers a new English translation, introduction, and detailed commentary on Sefer Meyasher 'Aqov, (The Rectifying of the Curved), a 14th-century Hebrew treatise on the foundation of geometry.

This book is based on the full year Ph.

Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying point sets.

In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration.

This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover.

Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems.

Designed for intermediate graduate studies, this text will broaden students' core knowledge of differential geometry providing foundational material to relevant topics in classical differential geometry.

Der Weg hinein ist der Weg hinaus.

This book collects the lecture notes of the Summer School on Convex Geometry, held in Cetraro, Italy, from August 30th to September 3rd, 2021.

Details some of the most recent developments at the interface of topology and geometric group theory.

This brief focuses on the structural properties of nonlinear time-delay systems.

Computational Geometry is a new discipline of computer science that deals with the design and analysis of algorithms for solving geometric problems.

This volume covers a broad range of subjects in modern geometry and related branches of mathematics, physics and computer science.

Wieder ein anderes Mal, als ich vor der Tafel stand und mit Kreide allerlei Figuren zeich- te, kam mir plotzlich der Gedanke: Warum ist die Symmetrie den Augen angenehm?

This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space.

This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018.

This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria.

Important lectures on differential topology by acclaimed mathematician John MilnorThese are notes from lectures that John Milnor delivered as a seminar on differential topology in 1963 at Princeton University.

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions.

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

This book provides a self-contained proof of the Mordell conjecture (Faltings''s theorem) and a concise introduction to Diophantine geometry.

This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.

In this book, the optimal transportation problem (OT) is described as a variational problem for absolutely continuous stochastic processes with fixed initial and terminal distributions.

The field of computational learning theory arose out of the desire to for- mally understand the process of learning.

Nonlinear Optimization is an intriguing area of study where mathematical theory, algorithms and applications converge to calculate the optimal values of continuous functions.

This volume contains contributions by the main participants of the 4th International Colloquium on Differential Geometry and its Related Fields (ICDG2014).

The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces.

The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries.

The thoroughly revised and updated second edition of this acclaimed text has several new and expanded sections and more than 1,100 exercises.

This text gives a comprehensive introduction to the "e;common core"e; of convex geometry.

Die Theorie der Linearen Algebra, ursprünglich aus der analytischen Geometrie hervorgegangen, hat heute die engen Grenzen geometrischer Problemstellungen weit überschritten und ist für nahezu alle Gebiete der Mathematik von grundlegender Bedeutung.

This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces.

A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.

This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory.

This book on symmetric geometric patterns of Islamic art has educational, aesthetic, cultural and practical purposes.

This volume arose from a semester at CIRM-Luminy on "e;Thermodynamic Formalism: Applications to Probability, Geometry and Fractals"e; which brought together leading experts in the area to discuss topical problems and recent progress.

This book is based on the lectures given at the Oberwolfach Seminar on Tropical Algebraic Geometry in October 2004.

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view.

This book provides an overview of the latest progress on rationality questions in algebraic geometry.

The book contains papers from the proceedings of the 3rd International Meeting of Origami Science, Math, and Education, sponsored by OrigamiUSA.