Geometry

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "e;the theory of elliptic curves is rich, varied, and amazingly vast,"e; and as a consequence, "e;many important topics had to be omitted.

An overview of different theories of motivic integration and their applications.

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A modern, comprehensive review of abstract regular polytopes.

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research.

This book is a monograph on unitals embedded in ?

Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics.

The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "e;The Geometry of Hamiltonian Systems"e; which was held at MSRl from June 5 to 16, 1989.

In a broad sense Design Science is the grammar of a language of images rather than of words.

This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics- and in theoretical physics such as quantum field theory and string theory.

This book is meant to be an introduction to Riemannian geometry.

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.

Recent Progress of Algebraic Geometry in Japan

This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics.

Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

Hewitt-Nachbin Spaces

Providing a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories.

This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years.

Algebraic Geometry and its Applications will be of interest not only to mathematicians but also to computer scientists working on visualization and related topics.

This book provides a conceptual and computational framework to study how the nervous system exploits the anatomical properties of limbs to produce mechanical function.

This text is designed to update the Differential Geometry course by making it more relevant to today's students.

The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics.

Written for game programmers and developers, this book covers GPU techniques and supporting applications that are commonly used in games and similar real-time 3D applications.

Transportation problems belong to the domains mathematical program- ming and operations research.

A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.

Since the volume may be of interest to a broad variety of people, it is arranged in parts that require different levels of mathematical background.

This book is intended as a first rigorous course in geometry.

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics.

Rational homotopy is a very powerful tool for differential topology and geometry.

The problem of finding minimal surfaces, i.

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

Semi-infinite optimization is a vivid field of active research.

The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories.

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras.

The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable).

The main tools of involutive systems of complex vector fields together with the major results from last twenty five years.

The first fully self-contained introduction to geometric algebra by two leading experts in the field.

Over the past two decades, the once small local Colorado Springs Mathematics Olympiad, founded by the author himself, has now become an annual state-wide competition, hosting over one-thousand high school contenders each year.

This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016.

This book collects papers presented in the Invited Workshop, "e;Liutex and Third Generation of Vortex Definition and Identification for Turbulence,"e; from CHAOS2020, June 9-12, 2020, which was held online as a virtual conference.

Comprehensive introduction to the theory of algebraic group schemes over fields, based on modern algebraic geometry, with few prerequisites.

Learn about the most important mathematical ideas, theorems, and movements in The Maths Book.

This 2003 book connects topology and algebra using modern techniques.

The contributions in this volume-dedicated to the work and mathematical interests of Oleg Viro on the occasion of his 60th birthday-are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap among analysis, geometry, and topology.

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals.

This textbook provides a coherent, integrated look at various topics from undergraduate analysis.

Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.

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