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Recommended For You

Proof!

How the World Became Geometrical

by Amir Alexander ...

A "lucid and convincingly argued" narrative of how ancient geometric principles continue to shape the contemporary world ( Publishers Weekly).On a cloudy day in 1413, a balding young man stood at the entrance to the Cathedral of Florence, facing the ancient Baptistery across the piazza. As puzzled passers-by looked on, he raised a small painting to his face, then held a mirror in front of the ... Read more

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A "lucid and convincingly argued" narrative of how ancient geometric principles continue to shape the contemporary world ( Publishers Weekly).On a cloudy day in 1413, a balding young man stood at the entrance to the Cathedral of Florence, facing the ancient Baptistery across the piazza. As puzzled passers-by looked on, he raised a small painting to his face, then held a mirror in front of the
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Shape

The Hidden Geometry of Information, Biology, Strategy, Democracy, and EverythingElse

by Jordan Ellenberg ...

**An instant New York Times Bestseller!“Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” *—*The New York TimesFrom the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better ... Read more

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**An instant New York Times Bestseller!“Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” *—*The New York TimesFrom the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better
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Measurement

by Paul Lockhart ...

Lockhart’s Mathematician’s Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living. ... Read more

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Lockhart’s Mathematician’s Lament outlined how we introduce math to students in the wrong way. Measurement explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living.
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String, Straightedge and Shadow: The Story of Geometry

by Julia E. Diggins ...

In this beautifully illustrated classic reader, Julia E. Diggins masterfully recreates the story of geometry. Using three simple tools — the string, the straightedge, and the shadow — early mathematicians discovered the basic principles and constructions of elementary geometry.This book reveals how these discoveries related to the ancient civilizations of Mesopotamia, Egypt, and Greece. Diggins ... Read more

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In this beautifully illustrated classic reader, Julia E. Diggins masterfully recreates the story of geometry. Using three simple tools — the string, the straightedge, and the shadow — early mathematicians discovered the basic principles and constructions of elementary geometry.This book reveals how these discoveries related to the ancient civilizations of Mesopotamia, Egypt, and Greece. Diggins
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Lost in Math

How Beauty Leads Physics Astray

by Sabine Hossenfelder ...

In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science.Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine ... Read more

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In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science.Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine
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General Relativity

The Theoretical Minimum

by Leonard Susskind, André Cabannes ...

Series series The Theoretical Minimum
**The latest volume in the New York Times–bestselling physics series explains Einstein’s masterpiece: the general theory of relativity **He taught us classical mechanics, quantum mechanics, and special relativity. Now, physicist Leonard Susskind, assisted by a new collaborator, mathematician André Cabannes, returns to tackle Einstein’s general theory of relativity. Starting from the equivalence ... Read more

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**The latest volume in the New York Times–bestselling physics series explains Einstein’s masterpiece: the general theory of relativity **He taught us classical mechanics, quantum mechanics, and special relativity. Now, physicist Leonard Susskind, assisted by a new collaborator, mathematician André Cabannes, returns to tackle Einstein’s general theory of relativity. Starting from the equivalence
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Gears

Volume 2: Analysis of Load Carrying Capacity and Strength Design

by Vincenzo Vullo ...

Series series Engineering (R0)
This book explores the geometric and kinematic design of the various types of gears most commonly used in practical applications, also considering the problems concerning their cutting processes. The cylindrical spur and helical gears are first considered, determining their main geometric quantities in the light of interference and undercut problems, as well as the related kinematic parameters. ... Read more

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This book explores the geometric and kinematic design of the various types of gears most commonly used in practical applications, also considering the problems concerning their cutting processes. The cylindrical spur and helical gears are first considered, determining their main geometric quantities in the light of interference and undercut problems, as well as the related kinematic parameters.
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Volume Conjecture for Knots

by Hitoshi Murakami, Yoshiyuki Yokota ...

Series Book 30 - SpringerBriefs in Mathematical Physics
The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of the knot complement. Here the colored Jones polynomial is a generalization of the celebrated Jones polynomial and is defined by using a so-called R-matrix that is associated with the N-dimensional representation of the Lie algebra sl(2;C). The volume ... Read more

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The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of the knot complement. Here the colored Jones polynomial is a generalization of the celebrated Jones polynomial and is defined by using a so-called R-matrix that is associated with the N-dimensional representation of the Lie algebra sl(2;C). The volume
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Hyperbolicity of Projective Hypersurfaces

by Simone Diverio, Erwan Rousseau ...

Series Book 5 - IMPA Monographs
This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces. This is a very active field, not least because of the fascinating relations with complex algebraic and arithmetic geometry. Foundational works of Serge Lang and Paul A. Vojta, among others, resulted in precise conjectures regarding the interplay of these ... Read more

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This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces. This is a very active field, not least because of the fascinating relations with complex algebraic and arithmetic geometry. Foundational works of Serge Lang and Paul A. Vojta, among others, resulted in precise conjectures regarding the interplay of these
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Differential Geometry

Connections, Curvature, and Characteristic Classes

by Loring W. Tu ...

Series series Mathematics and Statistics (R0)
This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for ... Read more

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This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle. Along the way we encounter some of the high points in the history of differential geometry, for
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DIFFERENTIAL CALCULUS

A Mathematical Analysis for Applied Sciences

by Alix Aurora Fuentes Medina ...

The textbook "DIFFERENTIAL CALCULUS. A Mathematical Analysis for Applied Sciences" is dedicated to all university students in distance or face-to-face programs who need to learn Differential Calculus to use its contents in Applied Sciences. The relevant contributions of this textbook focus on the Pedagogy for the Development of Autonomous Learning together with the logical and complete selection ... Read more

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The textbook "DIFFERENTIAL CALCULUS. A Mathematical Analysis for Applied Sciences" is dedicated to all university students in distance or face-to-face programs who need to learn Differential Calculus to use its contents in Applied Sciences. The relevant contributions of this textbook focus on the Pedagogy for the Development of Autonomous Learning together with the logical and complete selection
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Sliding-rolling Contact And In-hand Manipulation

by Lei Cui, Jian S Dai ...

Robots interact with the world through curves and surfaces — the subjects of study in differential geometry. This book applies the moving-frame method, developed extensively by Élie Cartan, and the adjoint approach, conceived by Ernesto Cesàro, to study the kinematics of two surfaces subject to rolling contact and sliding-rolling contact to demonstrate the applications in robotic in-hand ... Read more

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Robots interact with the world through curves and surfaces — the subjects of study in differential geometry. This book applies the moving-frame method, developed extensively by Élie Cartan, and the adjoint approach, conceived by Ernesto Cesàro, to study the kinematics of two surfaces subject to rolling contact and sliding-rolling contact to demonstrate the applications in robotic in-hand
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La mia Matematica

Teoremi geometrici e regole aritmetiche

by Luigi Orabona ...

Il libro tratta di nuovi teoremi di geometria sul triangolo rettangolo di Luigi Orabona, nonché di varie regole aritmetiche scoperte dallo stesso autore.Luigi Orabona è nato a Parete (CE) il 25 febbraio 1943 e risiede a Nardò (LE), cittadina natìa di sua moglie Lisa Beatrice. Dopo 36 anni d'insegnamento nella Scuola Elementare, oramai pensionato, si trasferisce nel 2006 da Varese nel suo paese ... Read more

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Il libro tratta di nuovi teoremi di geometria sul triangolo rettangolo di Luigi Orabona, nonché di varie regole aritmetiche scoperte dallo stesso autore.Luigi Orabona è nato a Parete (CE) il 25 febbraio 1943 e risiede a Nardò (LE), cittadina natìa di sua moglie Lisa Beatrice. Dopo 36 anni d'insegnamento nella Scuola Elementare, oramai pensionato, si trasferisce nel 2006 da Varese nel suo paese
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Curvature Measures of Singular Sets

by Jan Rataj, Martina Zähle ...

Series series Mathematics and Statistics (R0)
The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric ... Read more

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The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric
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Nevanlinna Theory And Its Relation To Diophantine Approximation (Second Edition)

by Min Ru ...

This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields. ... Read more

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This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields.
... Read more
Exploring Classical Greek Construction Problems with Interactive Geometry Software

by Ad Meskens, Paul Tytgat ...

Series series Mathematics and Statistics (R0)
In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the ... Read more

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In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the
... Read more
Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles, The

by Richard Wentworth, Graeme Wilkin ...

Series Book 36 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles ... Read more

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In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles
... Read more
On the Geometry of Some Special Projective Varieties

by Francesco Russo ...

Series series Mathematics and Statistics (R0)
Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal ... Read more

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Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal
... Read more
Analysis on Polish Spaces and an Introduction to Optimal Transportation

by D. J. H. Garling ...

Series Book 89 - London Mathematical Society Student Texts
A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains many important special results. This book provides a detailed account of analysis and measure theory on Polish spaces, including results about spaces ... Read more

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A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains many important special results. This book provides a detailed account of analysis and measure theory on Polish spaces, including results about spaces
... Read more
Decomposition of Jacobians by Prym Varieties

by Herbert Lange, Rubí E. Rodríguez ...

Series series Mathematics and Statistics (R0)
This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. The authors give a general theorem on how to decompose the Jacobian which works in many cases and apply it for several groups, as for groups of small order and some series of groups. In many cases, these components are given by Prym ... Read more

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This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. The authors give a general theorem on how to decompose the Jacobian which works in many cases and apply it for several groups, as for groups of small order and some series of groups. In many cases, these components are given by Prym
... Read more
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
... Read more
Vectors in Two or Three Dimensions

by Ann Hirst ...

Series series Modular Mathematics Series
Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout.Properties of vectors are initially introduced before moving on to vector algebra ... Read more

PHP2,711.59

Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout.Properties of vectors are initially introduced before moving on to vector algebra
... Read more
The Variational Theory of Geodesics

by M. M. Postnikov ...

Series series Dover Books on Mathematics
Riemannian geometry is a fundamental area of modern mathematics and is important to the study of relativity. Within the larger context of Riemannian mathematics, the active subdiscipline of geodesics (shortest paths) in Riemannian spaces is of particular significance. This compact and self-contained text by a noted theorist presents the essentials of modern differential geometry as well as basic ... Read more

PHP884.79

Riemannian geometry is a fundamental area of modern mathematics and is important to the study of relativity. Within the larger context of Riemannian mathematics, the active subdiscipline of geodesics (shortest paths) in Riemannian spaces is of particular significance. This compact and self-contained text by a noted theorist presents the essentials of modern differential geometry as well as basic
... Read more
Introduction To The Geometrical Analysis Of Vector Fields, An: With Applications To Maximum Principles And Lie Groups

by Stefano Biagi, Andrea Bonfiglioli ...

This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following ... Read more

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This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following
... Read more

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Recommended For You

Geometry eBooks

Proof!

Shape

Measurement

String, Straightedge and Shadow: The Story of Geometry

Lost in Math

General Relativity

Gears

Volume Conjecture for Knots

Hyperbolicity of Projective Hypersurfaces

Differential Geometry

DIFFERENTIAL CALCULUS

Sliding-rolling Contact And In-hand Manipulation

La mia Matematica

Curvature Measures of Singular Sets

Nevanlinna Theory And Its Relation To Diophantine Approximation (Second Edition)

Exploring Classical Greek Construction Problems with Interactive Geometry Software

Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles, The

On the Geometry of Some Special Projective Varieties

Analysis on Polish Spaces and an Introduction to Optimal Transportation

Decomposition of Jacobians by Prym Varieties

Period Mappings with Applications to Symplectic Complex Spaces

Vectors in Two or Three Dimensions

The Variational Theory of Geodesics

Introduction To The Geometrical Analysis Of Vector Fields, An: With Applications To Maximum Principles And Lie Groups