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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

16,10 €

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
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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

2,67 €

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
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

Free

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
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Radon Transforms and the Rigidity of the Grassmannians

by Jacques Gasqui, Hubert Goldschmidt ...

Series Book 156 - Annals of Mathematics Studies
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. Its primary focus is the spectral rigidity problem: Can the metric of a given Riemannian symmetric space of compact type be characterized by means of the spectrum of its ... Read more

104,61 €

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. Its primary focus is the spectral rigidity problem: Can the metric of a given Riemannian symmetric space of compact type be characterized by means of the spectrum of its
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Loving Math

Advanced Problems with Solutions, Applications and Comments

by Lewis Forsheit ...

This book was written for high school students and teachers who love exploring beyond standard math curricula for a deeper understanding of the principles and applications of mathematics. It is also for anyone who loves the pursuit of a problem solution, including both professional and amateur mathematicians. The vehicle that transports us through this exploration is the study and solution of ... Read more

7,30 €

This book was written for high school students and teachers who love exploring beyond standard math curricula for a deeper understanding of the principles and applications of mathematics. It is also for anyone who loves the pursuit of a problem solution, including both professional and amateur mathematicians. The vehicle that transports us through this exploration is the study and solution of
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Recent Progress in Mathematics

Edited by Nam-Gyu Kang, Jaigyoung Choe, Kyeongsu Choi, Sang-hyun Kim ...

Series series Mathematics and Statistics (R0)
This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction. Four of the chapters are expository in nature while one is based more directly on research. All deal with important areas of mathematics, however, such as algebraic geometry, topology, partial differential equations, Riemannian ... Read more

47,69 €

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction. Four of the chapters are expository in nature while one is based more directly on research. All deal with important areas of mathematics, however, such as algebraic geometry, topology, partial differential equations, Riemannian
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Multiplicative Ideal Theory and Factorization Theory

Commutative and Non-commutative Perspectives

Edited by Scott Chapman, Marco Fontana, Alfred Geroldinger, Bruce Olberding ...

Series series Springer Nature Proceedings excluding Computer Science
This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non ... Read more

152,63 €

This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non
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Arc Schemes And Singularities

by David Bourqui, Johannes Nicaise, Julien Sebag ...

This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety. Since the arc scheme is an infinite dimensional object, new tools ... Read more

69,10 €

This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety. Since the arc scheme is an infinite dimensional object, new tools
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Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian

by Hajime Urakawa ...

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lichnerowicz-Obata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and Payne-Pólya ... Read more

75,57 €

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lichnerowicz-Obata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and Payne-Pólya
... Read more
Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda's 60th Birthday

by Sadahiro Maeda, Yoshihiro Ohnita, Qing-ming Cheng ...

This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such as differential geometers) who are interested in ... Read more

41,01 €

This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such as differential geometers) who are interested in
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Lie Methods in Deformation Theory

by Marco Manetti ...

Series series Mathematics and Statistics (R0)
This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory. We believe it is the first textbook devoted to this subject, although the first chapters are also covered in other sources with a different perspective.Deformation theory is an important subject in algebra and algebraic geometry, with an origin that dates ... Read more

143,09 €

This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory. We believe it is the first textbook devoted to this subject, although the first chapters are also covered in other sources with a different perspective.Deformation theory is an important subject in algebra and algebraic geometry, with an origin that dates
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Geometrie – Anschauung und Begriffe

Vorstellen, Verstehen, Weiterdenken. Eine Einführung für Studierende.

by Jost-Hinrich Eschenburg ...

Dieses Buch behandelt die Geometrie des Anschauungsraums in allen ihren Aspekten. Wie in jedem Teilgebiet der Mathematik geht es darum, das Verborgene auf das Offensichtliche zurückzuführen; die Besonderheit der Geometrie ist, dass das Offensichtliche manchmal im wörtlichen Sinne vor Augen liegt.Ausgehend von der Anschauung werden räumliche Konzepte in das bereits vorhandene mathematische Gerüst ... Read more

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Dieses Buch behandelt die Geometrie des Anschauungsraums in allen ihren Aspekten. Wie in jedem Teilgebiet der Mathematik geht es darum, das Verborgene auf das Offensichtliche zurückzuführen; die Besonderheit der Geometrie ist, dass das Offensichtliche manchmal im wörtlichen Sinne vor Augen liegt.Ausgehend von der Anschauung werden räumliche Konzepte in das bereits vorhandene mathematische Gerüst
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Combinatorial Algebraic Geometry

Selected Papers From the 2016 Apprenticeship Program

Edited by Bernd Sturmfels, Gregory G. Smith ...

Series Book 80 - Fields Institute Communications
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. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian ... Read more

114,47 €

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. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian
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Undergraduate Convexity: Problems And Solutions

by Mikkel Slot Nielsen, Victor Ulrich Rohde ...

This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude of solution methods and aspects of convex sets and convex functions. Companion Textbook here ... Read more

24,16 €

This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude of solution methods and aspects of convex sets and convex functions. Companion Textbook here
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Infinity Operads And Monoidal Categories With Group Equivariance

by Donald Yau ...

This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action operad. A group operad is a planar operad with an action operad equivariant structure. In the first three parts of this monograph, we establish a foundation for group operads and for their higher coherent analogues called infinity group ... Read more

101,22 €

This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action operad. A group operad is a planar operad with an action operad equivariant structure. In the first three parts of this monograph, we establish a foundation for group operads and for their higher coherent analogues called infinity group
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Minimal Surfaces: Integrable Systems and Visualisation

m:iv Workshops, 2016–19

Edited by Tim Hoffmann, Martin Kilian, Katrin Leschke, Francisco Martin ...

Series series Springer Nature Proceedings excluding Computer Science
This book collects original peer-reviewed contributions to the conferences organised by the international research network “Minimal surfaces: Integrable Systems and Visualization” financed by the Leverhulme Trust. The conferences took place in Cork, Granada, Munich and Leicester between 2016 and 2019. Within the theme of the network, the presented articles cover a broad range of topics and explore ... Read more

133,55 €

This book collects original peer-reviewed contributions to the conferences organised by the international research network “Minimal surfaces: Integrable Systems and Visualization” financed by the Leverhulme Trust. The conferences took place in Cork, Granada, Munich and Leicester between 2016 and 2019. Within the theme of the network, the presented articles cover a broad range of topics and explore
... Read more
Trivalent Discrete Surfaces and Carbon Structures

by Hisashi Naito ...

Series series Mathematics and Statistics (R0)
This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature.In this regard, the ... Read more

42,92 €

This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature.In this regard, the
... Read more
Geometry Part 2

by BarCharts,Inc ...

This guide picks up where the Geometry Part 1 guide left off. It contains information on: geometric principles & formulas, polygon relationships, circles, trapezoids, parallelograms, rhombuses, central & inscribed angles, triangles & parallel line diagrams plus much more! ... Read more

4,87 €

This guide picks up where the Geometry Part 1 guide left off. It contains information on: geometric principles & formulas, polygon relationships, circles, trapezoids, parallelograms, rhombuses, central & inscribed angles, triangles & parallel line diagrams plus much more!
... Read more
Discrete Geometry and Optimization

Edited by Károly Bezdek, Yinyu Ye, Antoine Deza ...

Series Book 69 - Fields Institute Communications
Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in ... Read more

85,85 €

Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in
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Helix Structures in Quantum Cohomology of Fano Varieties

by Giordano Cotti, Boris A. Dubrovin, Davide Guzzetti ...

Series series Mathematics and Statistics (R0)
This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM). This conjecture asserts the equivalence, for a Fano variety, between the semisimplicity condition of its quantum cohomology and the existence of full exceptional collections in its derived category of coherent sheaves. ... Read more

66,77 €

This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM). This conjecture asserts the equivalence, for a Fano variety, between the semisimplicity condition of its quantum cohomology and the existence of full exceptional collections in its derived category of coherent sheaves.
... Read more
In The Search For Beauty: Unravelling Non-euclidean Geometry

by Voldemar Smilga ...

This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about ... Read more

24,05 €

This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about
... Read more
An Invitation to Alexandrov Geometry

CAT(0) Spaces

by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin ...

Series series Mathematics and Statistics (R0)
Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards ... Read more

62,00 €

Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards
... Read more
Mathematical Theory of Optics

by R. K. Luneburg ...

Mathematical Theory of Optics by Dr. Rudolf K. Luneburg stands as a monumental work in the field of optical theory, offering a rigorous and innovative approach to understanding instrumental optics through the lens of Maxwell's electromagnetic equations. First presented as a lecture series at Brown University in 1944, and later refined into these notes, Luneburg's work connects geometrical optics ... Read more

24,05 €

Mathematical Theory of Optics by Dr. Rudolf K. Luneburg stands as a monumental work in the field of optical theory, offering a rigorous and innovative approach to understanding instrumental optics through the lens of Maxwell's electromagnetic equations. First presented as a lecture series at Brown University in 1944, and later refined into these notes, Luneburg's work connects geometrical optics
... 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

Radon Transforms and the Rigidity of the Grassmannians

Loving Math

Recent Progress in Mathematics

Multiplicative Ideal Theory and Factorization Theory

Arc Schemes And Singularities

Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian

Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda's 60th Birthday

Lie Methods in Deformation Theory

Geometrie – Anschauung und Begriffe

Combinatorial Algebraic Geometry

Undergraduate Convexity: Problems And Solutions

Infinity Operads And Monoidal Categories With Group Equivariance

Minimal Surfaces: Integrable Systems and Visualisation

Trivalent Discrete Surfaces and Carbon Structures

Geometry Part 2

Discrete Geometry and Optimization

Helix Structures in Quantum Cohomology of Fano Varieties

In The Search For Beauty: Unravelling Non-euclidean Geometry

An Invitation to Alexandrov Geometry

Mathematical Theory of Optics