Reconstructive Integral Geometry

This book covers facts and methods for the reconstruction of a function in a real affine or projective space from data of integrals, particularly over lines, planes, and spheres. Recent results are collected stressing explicit analytic methods. Another f...

 Global Analysis in Mathematical Physics Geometric and Stochastic Models

This book gives a common treatment to three areas of application of Global analysis to Mathematical Physics previously considered quite distant from each other. These areas are the geometry of manifolds applied to classical mechanics, stochastic different...

 Frobenius Splitting Methods in Geometry and Representation Theory

The theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments. Key...

 Mathematics for the Nonmathematician

Erudite and entertaining overview follows development of mathematics from ancient Greeks, through Middle Ages and Renaissance to the present. Chapters focus on Logic and Mathematics, the Number, the Fundamental Concept, Differential Calculus, the Theory o...

 Tropical Algebraic Geometry

These notes present a polished introduction to tropical geometry and contain some applications of this rapidly developing and attractive subject. It consists of three chapters which complete each other and give a possibility for non-specialists to make th...

 Worlds Out of Nothing A Course in the History of Geometry in the 19th Century

Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to ...

 Geometric Methods in Algebra and Number Theory

The transparency and power of geometric constructions has been a source of inspiration to generations of mathematicians. The beauty and persuasion of pictures, communicated in words or drawings, continues to provide the intuition and arguments for working...

 Fractal geometry Mathematical foundations and applications

Since its original publication in 1990, Kenneth Falconer's Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in ...

 A Course in Metric Geometry

"Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dyn...

 An Invitation to Quantum Cohomology Kontsevich's Formula for Rational Plane Curves

This book is an elementary introduction to stable maps and quantum cohomology, starting with an introduction to stable pointed curves, and culminating with a proof of the associativity of the quantum product. The viewpoint is mostly that of enumerative ge...

 From Geometry to Quantum Mechanics In Honor of Hideki Omori

This volume is composed of invited expository articles by well-known mathematicians in differential geometry and mathematical physics that have been arranged in celebration of Hideki Omori's recent retirement from Tokyo University of Science and in honor ...

 Spherical CR Geometry and Dehn Surgery

This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. The first is the construction of large numbers of...

 Lectures on Kahler Geometry

Kähler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained graduate text provides a concise and accessible introduction to the topic. The book begins with ...

 Combinatorial and Computational Geometry

During the past few decades, the gradual merger of Discrete Geometry and the newer discipline of Computational Geometry has provided enormous impetus to mathematicians and computer scientists interested in geometric problems. This volume, which contains 3...

 Visual Computing Geometry, Graphics and Vision

From the Foreword by Professor Leonidas J. Guibas "Geometry, graphics, and vision all deal in some form with the shape of objects, their motions, as well as the transport of light and its interactions with objects. This book clearly shows how much they...

 Computers, Rigidity, and Moduli The Large-Scale Fractal Geometry of Riemannian Moduli Space

This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logic...

 Geometry for Computer Graphics Formulae, Examples and Proofs

Geometry is the cornerstone of computer graphics and computer animation, and provides the framework and tools for solving problems in two and three dimensions. This may be in the form of describing simple shapes such as a circle, ellipse, or parabola, or ...

 Applied Geometry for Computer Graphics and CAD

Focussing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). An introduction to transformations of the plane and three-dimensional space ...

 Handbook of Mathematics and Computational Science

Introduction 1. Numerical computation (arithmetics and numerics) 2. Equations and inequalities (algebra) 3. Geometry and trigonometry in the plane 4. Solid geometry 5. Functions 6. Vector analysis 7. Coordinate systems 8. Analytic geometr...

 Computational Line Geometry

The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of devel...

  3ds Max 4 Training CD

VTC Training use a simple method to transfer knowledge - narrated QuickTime movies that take a user through the steps of learning complex software applications. Each VTC CD contains many hours of these movies, created by skilled trainers who are experts i...

 Algorithms in real algebraic geometry Volume 10

In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware...

  Handbook of Geometric Programming Using Open Geometry GL

The Springer Handbook on Geometric Programming Using Open Geometry GL is a reference book on the practice of geometric programming with the help of a comprehensive library of geometric methods based on OpenGL routines, the industry standard open-source gr...

 Open Geometry Open GL + Advanced geometry

This book is about graphics programming using C++, with applications taking advantage of a well-documented, versatile, and robust library that is based on OpenGL. It presents both a programming course that emphasizes object-oriented thinking and a well-do...

 Programming challenges The programming contest training manual

Programming Challenges presents 150 of the best programming problems to motivate the study of algorithms, programming, and other topics in computer science. The book provides a concrete understanding of algorithmic techniques, such as backtracking and dyn...

 Java 3d Programming

Guiding programmers through the important design and implementation phases of developing a successful Java 3D application, this reference provides guidance on whether to use Java 3D, user interface design, geometry creation, scene manipulation, or final o...

 Fractals, Graphics and Mathematics Education

Fractal Geometry is a recent edition to the collection of mathematical tools for describing nature, and is the first to focus on roughness. Fractal geometry also appears in art, music and literature, most often without being consciously included by the ar...