Geometry

The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields.

In 1961 the second author deliv1lred a series of lectures at Haverford Col- lege on the subject of "e;Rational Points on Cubic Curves.

This textbook provides a thorough introduction to the differential geometry of parametrized curves and surfaces, along with a wealth of applications to specific architectural elements.

An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition .

This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three.

This volume is dedicated to the memory of Shoshichi Kobayashi, and gathers contributions from distinguished researchers working on topics close to his research areas.

This work reviews the most important results regarding the use of the a-point in Scheduling Theory.

This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics.

This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins.

Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas.

A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces.

The modern theory of Kleinian groups starts with the work of Lars Ahlfors and Lipman Bers; specifically with Ahlfors' finiteness theorem, and Bers' observation that their joint work on the Beltrami equation has deep implications for the theory of Kleinian groups and their deformations.

This proceedings volume contains articles related to the research presented at the 2019 Simons Symposium on p-adic Hodge theory.

This book is based on a series of lectures given by the author at SISSA, Trieste, within the PhD courses Techniques in enumerative geometry (2019) and Localisation in enumerative geometry (2021).

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The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines.

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

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Written by a world expert on the subject, this is the first complete reference on the mathematics of origami.

Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century.

This classic work has been fundamentally revised to take account of recent developments in general topology.

This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces.

This modern translation of Sophus Lie's and Friedrich Engel's "e;Theorie der Transformationsgruppen I"e; will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text.

The ambitious program for the birational classification of higher-dimensional complex algebraic varieties initiated by Shigeru Iitaka around 1970 is usually called the Iitaka program.

This book is an exposition of recent progress on the Donaldson-Thomas (DT) theory.

Critical Issues in Mathematics Education presents the significant contributions of Professor Alan Bishop within the mathematics education research community.

This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria.

This monograph could be used for a graduate course on symplectic geometry as well as for independent study.

This volume collects papers based on lectures given at the XXXIX Workshop on Geometric Methods in Physics, held in Bialystok, Poland in June 2022.

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta-a doyen of history of mathematics-written on a variety of important topics pertaining to mathematics and astronomy in India.

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug.

The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996.

The theories of V.

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

This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, "e;Fractals and Related Fields II,"e; held in June 2011.

This textbook offers graduate students a concise introduction to the classic notions of convex optimization.

There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions.

This book is an enhanced and expanded English edition of the treatise "e;Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,"e; published by the Accademia delle Scienze di Torino in volume no.

This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988.

This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis.

The book gives an exposition of the standard model of elementary particles based on coordinate-free differential geometric foundations.

Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem.