Geometry

This book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry.

The bestselling book that has helped millions of readers solve any problemA must-have guide by eminent mathematician G.

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry.

DeMYSTiFieD is your solution for tricky subjects like trigonometryIf you think a Cartesian coordinate is something from science fiction or a hyperbolic tangent is an extreme exaggeration, you need Trigonometry DeMYSTiFieD, Second Edition, to unravel this topic's fundamental concepts and theories at your own pace.

This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe.

This proceedings volume gathers together selected works from the 2018 "e;Asymptotic, Algebraic and Geometric Aspects of Integrable Systems"e; workshop that was held at TSIMF Yau Mathematical Sciences Center in Sanya, China, honoring Nalini Joshi on her 60th birthday.

The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry.

This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point.

This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry.

Focussing on the mathematics related to the recent proof of ergodicity of the (Weil-Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research.

The ancient Greeks believed that everything in the Universe should be describable in terms of geometry.

As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense.

This book examines the problem of maintenance planning and scheduling in industrial production systems.

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 introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems.

In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS).

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation.

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion.

This book consists of two lecture notes on geometric flow equations (O.

Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry.

This volume explores the interplay between mathematical and physical research and the interactions of twentieth-century scientists within their academic communities.

This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000.

This book aims at gathering roboticists, control theorists, neuroscientists, and mathematicians, in order to promote a multidisciplinary research on movement analysis.

The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications.

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 consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Bedlewo, Poland in September 2015.

This book provides concise descriptions of the various solutions of transition curves, which can be used in geometric design of roads and highways.

This second edition has been completely restructured, resulting in a compelling description of vector analysis from its first appearance as a byproduct of Hamilton's quaternions to the use of vectors in solving geometric problems.

This book gives a systematic presentation of real algebraic varieties.

This book is a remarkable contribution to the literature on dynamical systems and geometry.

In this book, Cathleen Heil addresses the question of how to conceptually understand children's spatial thought in the context of geometry education.

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics.

What is spectral action, how to compute it and what are the known examples?

Up-to-date research in metric diffusion along compact foliations is presented in this book.

This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles.

This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical.

This textbook, the first of its kind, presents the fundamentals of distance geometry:  theory, useful methodologies for obtaining solutions, and real world applications.

Differential and complex geometry are two central areas of mathematics with a long and intertwined history.

This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry.

This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics.

Can artificial intelligence learn mathematics?

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

This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20-24, 2019.

This book presents a differential geometric method for designing nonlinear observers for multiple types of nonlinear systems, including single and multiple outputs, fully and partially observable systems, and regular and singular dynamical systems.

This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field.

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 volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic.

This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis.