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Recommended For You

The Golden Geometry of the Interior Design of the Great Pyramid

by Themistocles Politof ...

A golden-ratio-based geometric model unveils the Great Pyramid’s sophisticated design and accounts with astonishing accuracy for all details of its internal and external architecture. The model values match the measurements of W.F. Petrie or G. Dormion within 1 cm or 5', respectively for the lengths and angles, and in multiple cases exactly (within 1 mm or 1'). The model yields mathematical ... Read more

10,99 €

A golden-ratio-based geometric model unveils the Great Pyramid’s sophisticated design and accounts with astonishing accuracy for all details of its internal and external architecture. The model values match the measurements of W.F. Petrie or G. Dormion within 1 cm or 5', respectively for the lengths and angles, and in multiple cases exactly (within 1 mm or 1'). The model yields mathematical
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How to Solve It

A New Aspect of Mathematical Method

by G. Polya ...

Series series Princeton Science Library
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have ... Read more

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A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have
... Read more
Non-Euclidean Geometry (illustrated)

by Henry P. Manning ...

Non-Euclidean Geometry is now recognized as an important branch of Mathematics. Those who teach Geometry should have some knowledge of this subject, and all who are interested in Mathematics will find much to stimulate them and much for them to enjoy in the novel results and views that it presents. This book is an attempt to give a simple and direct account of the Non-Euclidean Geometry, and ... Read more

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Non-Euclidean Geometry is now recognized as an important branch of Mathematics. Those who teach Geometry should have some knowledge of this subject, and all who are interested in Mathematics will find much to stimulate them and much for them to enjoy in the novel results and views that it presents. This book is an attempt to give a simple and direct account of the Non-Euclidean Geometry, and
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Studying Virtual Math Teams

Gerry Stahl's eLibrary, #4

by Gerry Stahl ...

Series Book 4 - Gerry Stahl's eLibrary
Beginning in 2002, a group of researchers and online-math-education-service providers began the Virtual Math Teams (VMT) Project. The mission of the VMT Project is to provide a new opportunity for students to engage in mathematical discourse. There are three primary goals in this project:· 1. As service providers, we want to provide a stimulating online service for use by student teams from around ... Read more

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Beginning in 2002, a group of researchers and online-math-education-service providers began the Virtual Math Teams (VMT) Project. The mission of the VMT Project is to provide a new opportunity for students to engage in mathematical discourse. There are three primary goals in this project:· 1. As service providers, we want to provide a stimulating online service for use by student teams from around
... Read more
Constant Mean Curvature Surfaces with Boundary

by Rafael López ...

Series series Mathematics and Statistics (R0)
The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods ... Read more

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The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods
... Read more
Total Mean Curvature And Submanifolds Of Finite Type (2nd Edition)

by Bang-yen Chen ...

Series Book 27 - Series In Pure Mathematics
During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a comprehensive account of the latest updates and new results that cover total mean curvature and submanifolds of finite type. The longstanding biharmonic conjecture of the author's and the generalized ... Read more

34,55 €

During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a comprehensive account of the latest updates and new results that cover total mean curvature and submanifolds of finite type. The longstanding biharmonic conjecture of the author's and the generalized
... Read more
One-Cocycles and Knot Invariants

by Thomas Fiedler ...

Series Book 73 - Series on Knots and Everything
One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discrete combinatorial analysis in knot theory in order to solve a global tetrahedron equation. This new technique is then used to construct combinatorial 1-cocycles in a certain moduli space of knot diagrams. The construction of the moduli space makes use of the meridian and the ... Read more

81,93 €

One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discrete combinatorial analysis in knot theory in order to solve a global tetrahedron equation. This new technique is then used to construct combinatorial 1-cocycles in a certain moduli space of knot diagrams. The construction of the moduli space makes use of the meridian and the
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Discrete Geometry and Symmetry

Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays

Edited by Marston D. E. Conder, Antoine Deza, Asia Ivić Weiss ...

Series series Springer Nature Proceedings excluding Computer Science
This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference “Geometry and Symmetry” in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded ... Read more

133,55 €

This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry. Most of the chapters were collected at the conference “Geometry and Symmetry” in Veszprém, Hungary from 29 June to 3 July 2015. The conference was dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays, acknowledging their highly regarded
... Read more
Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces

by Marek Golasiński, Juno Mukai ...

This is a monograph that details the use of Siegel’s method and the classical results of homotopy groups of spheres and Lie groups to determine some Gottlieb groups of projective spaces or to give the lower bounds of their orders. Making use of the properties of Whitehead products, the authors also determine some Whitehead center groups of projective spaces that are relevant and new within this ... Read more

47,69 €

This is a monograph that details the use of Siegel’s method and the classical results of homotopy groups of spheres and Lie groups to determine some Gottlieb groups of projective spaces or to give the lower bounds of their orders. Making use of the properties of Whitehead products, the authors also determine some Whitehead center groups of projective spaces that are relevant and new within this
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An Invitation to Web Geometry

by Luc Pirio, Jorge Vitório Pereira ...

Series Book 2 - IMPA Monographs
This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses ... Read more

47,69 €

This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses
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Approaching the Kannan-Lovász-Simonovits and Variance Conjectures

by Jesús Bastero, David Alonso-Gutiérrez ...

Series series Mathematics and Statistics (R0)
Focusing on two central conjectures of Asymptotic Geometric Analysis, the Kannan-Lovász-Simonovits spectral gap conjecture and the variance conjecture, these Lecture Notes present the theory in an accessible way, so that interested readers, even those who are not experts in the field, will be able to appreciate the treated topics. Offering a presentation suitable for professionals with little ... Read more

33,38 €

Focusing on two central conjectures of Asymptotic Geometric Analysis, the Kannan-Lovász-Simonovits spectral gap conjecture and the variance conjecture, these Lecture Notes present the theory in an accessible way, so that interested readers, even those who are not experts in the field, will be able to appreciate the treated topics. Offering a presentation suitable for professionals with little
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Interactions with Lattice Polytopes

Magdeburg, Germany, September 2017

Edited by Alexander M. Kasprzyk, Benjamin Nill ...

Series series Springer Nature Proceedings excluding Computer Science
This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symmetry, symplectic geometry, discrete geometry, and algebraic combinatorics, the common theme is the study of lattice polytopes. These fascinating ... Read more

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This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symmetry, symplectic geometry, discrete geometry, and algebraic combinatorics, the common theme is the study of lattice polytopes. These fascinating
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Period Mappings with Applications to Symplectic Complex Spaces

by Tim Kirschner ...

Series series Mathematics and Statistics (R0)
Extending Griffiths’ classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of “Hodge-de Rham type” for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Frölicher spectral sequence associated to a ... Read more

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Extending Griffiths’ classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of “Hodge-de Rham type” for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Frölicher spectral sequence associated to a
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Numeri Complessi e Geometria Euclidea

by Nicola Bellini ...

Si attribuisce ai complessi una natura puramente geometrica che ha tardato a mettersi in luce per questioni storico -culturali. A partire dalla geometria euclidea si introducono i numeri complessi come punti del piano (enti puramente geometrici) attraverso due operazioni che traducano le trasformazioni fondamentali del piano euclideo di traslazione, omotetia e rotazione. Il calcolo geometrico che ... Read more

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Si attribuisce ai complessi una natura puramente geometrica che ha tardato a mettersi in luce per questioni storico -culturali. A partire dalla geometria euclidea si introducono i numeri complessi come punti del piano (enti puramente geometrici) attraverso due operazioni che traducano le trasformazioni fondamentali del piano euclideo di traslazione, omotetia e rotazione. Il calcolo geometrico che
... Read more
Grothendieck Construction of Bipermutative-Indexed Categories

by Donald Yau ...

The Grothendieck construction provides an explicit link between indexed categories and opfibrations. It is a fundamental concept in category theory and related fields with far-reaching applications. Bipermutative categories are categorifications of rings. They play a central role in algebraic K-theory and infinite loop space theory.This monograph is a detailed study of the Grothendieck ... Read more

68,18 €

The Grothendieck construction provides an explicit link between indexed categories and opfibrations. It is a fundamental concept in category theory and related fields with far-reaching applications. Bipermutative categories are categorifications of rings. They play a central role in algebraic K-theory and infinite loop space theory.This monograph is a detailed study of the Grothendieck
... Read more
An Introduction to Differential Manifolds

by Jacques Lafontaine ...

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, ... Read more

47,69 €

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields,
... Read more
Complex Numbers from A to ... Z

by Titu Andreescu, Dorin Andrica ...

Series series Mathematics and Statistics (R0)
It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to … Z introduces the reader to this fascinating subject that from the time of L. Euler has become one of the most utilized ideas in mathematics.The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers ... Read more

62,00 €

It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to … Z introduces the reader to this fascinating subject that from the time of L. Euler has become one of the most utilized ideas in mathematics.The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers
... Read more
Complex Geometry and Dynamics

The Abel Symposium 2013

Edited by Marius Irgens, John Erik Fornæss, Erlend Fornæss Wold ...

Series series Springer Nature Proceedings excluding Computer Science
This book focuses on complex geometry and covers highly active topics centered around geometric problems in several complex variables and complex dynamics, written by some of the world’s leading experts in their respective fields.This book features research and expository contributions from the 2013 Abel Symposium, held at the Norwegian University of Science and Technology Trondheim on July 2-5, ... Read more

85,85 €

This book focuses on complex geometry and covers highly active topics centered around geometric problems in several complex variables and complex dynamics, written by some of the world’s leading experts in their respective fields.This book features research and expository contributions from the 2013 Abel Symposium, held at the Norwegian University of Science and Technology Trondheim on July 2-5,
... Read more
Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data

Edited by Bernhard Burgeth, Anna Vilanova, Carl-Fredrik Westin ...

Series series Springer Nature Proceedings excluding Computer Science
Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties.Part I, Tensor Data Visualization, ... Read more

133,55 €

Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties.Part I, Tensor Data Visualization,
... Read more
Conformal Vector Fields, Ricci Solitons and Related Topics

by Ramesh Sharma, Sharief Deshmukh ...

Series series Mathematics and Statistics (R0)
This book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and warped product geometry, and their applications in geometry and physics. It then explores the properties of conformal vector fields and conformal transformations, including their fixed points, essentiality and the Lichnerowicz conjecture. Later chapters focus on the study of ... Read more

104,93 €

This book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and warped product geometry, and their applications in geometry and physics. It then explores the properties of conformal vector fields and conformal transformations, including their fixed points, essentiality and the Lichnerowicz conjecture. Later chapters focus on the study of
... Read more
Empowering Novel Geometric Algebra for Graphics and Engineering

7th International Workshop, ENGAGE 2022, Virtual Event, September 12, 2022, Proceedings

Edited by Eckhard Hitzer, George Papagiannakis, Petr Vasik ...

Series series Springer Nature Proceedings Computer Science
This book constitutes the proceedings of the Workshop Empowering Novel Geometric Algebra for Graphics and Engineering, ENGAGE 2022, held in conjunction with Computer Graphics International conference, CGI 2022, which took place virtually, in September 2022.The 10 full papers included in this volume were carefully reviewed and selected from 12 submissions. The workshop focused specifically on ... Read more

52,46 €

This book constitutes the proceedings of the Workshop Empowering Novel Geometric Algebra for Graphics and Engineering, ENGAGE 2022, held in conjunction with Computer Graphics International conference, CGI 2022, which took place virtually, in September 2022.The 10 full papers included in this volume were carefully reviewed and selected from 12 submissions. The workshop focused specifically on
... Read more
The Geometry of Schemes

by David Eisenbud, Joe Harris ...

Series series Mathematics and Statistics (R0)
This text is intended to fill the gap between texts on classical algebraic geometry and the full-blown accounts of the theory of schemes. The text focuses on interesting examples, with a minimum of machinery, to show what is happening in the field. Included is a large number of exercises, spread throughout the text. The prerequisites for reading this book are modest: a little commutative algebra ... Read more

62,00 €

This text is intended to fill the gap between texts on classical algebraic geometry and the full-blown accounts of the theory of schemes. The text focuses on interesting examples, with a minimum of machinery, to show what is happening in the field. Included is a large number of exercises, spread throughout the text. The prerequisites for reading this book are modest: a little commutative algebra
... Read more
Extrinsic Geometry of Foliations

by Vladimir Rovenski, Paweł Walczak ...

Series series Mathematics and Statistics (R0)
This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature for the case of mixed curvature of foliations is examined. The book is divided into five chapters that deal with integral and ... Read more

104,93 €

This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature for the case of mixed curvature of foliations is examined. The book is divided into five chapters that deal with integral and
... Read more
Beauville Surfaces and Groups

Edited by Ingrid Bauer, Shelly Garion, Alina Vdovina ...

Series series Springer Nature Proceedings excluding Computer Science
This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces. It is the first time that these objects are discussed from the points of view of algebraic geometry as well as group theory. The book also includes various open problems and conjectures related to these surfaces.Beauville surfaces are a class of rigid regular surfaces of general type, ... Read more

85,85 €

This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces. It is the first time that these objects are discussed from the points of view of algebraic geometry as well as group theory. The book also includes various open problems and conjectures related to these surfaces.Beauville surfaces are a class of rigid regular surfaces of general type,
... Read more

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Recommended For You

Geometry eBooks

The Golden Geometry of the Interior Design of the Great Pyramid

How to Solve It

Non-Euclidean Geometry (illustrated)

Studying Virtual Math Teams

Constant Mean Curvature Surfaces with Boundary

Total Mean Curvature And Submanifolds Of Finite Type (2nd Edition)

One-Cocycles and Knot Invariants

Discrete Geometry and Symmetry

Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces

An Invitation to Web Geometry

Approaching the Kannan-Lovász-Simonovits and Variance Conjectures

Interactions with Lattice Polytopes

Period Mappings with Applications to Symplectic Complex Spaces

Numeri Complessi e Geometria Euclidea

Grothendieck Construction of Bipermutative-Indexed Categories

An Introduction to Differential Manifolds

Complex Numbers from A to ... Z

Complex Geometry and Dynamics

Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data

Conformal Vector Fields, Ricci Solitons and Related Topics

Empowering Novel Geometric Algebra for Graphics and Engineering

The Geometry of Schemes

Extrinsic Geometry of Foliations

Beauville Surfaces and Groups