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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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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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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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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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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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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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Recent Developments in Commutative Algebra

Levico Terme, Trento 2019

by Claudia Polini, Claudiu Raicu, Matteo Varbaro, Mark E. Walker ...

Series series Mathematics and Statistics (R0)
This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations.Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation ... Read more

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This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations.Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation
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Euler's Gem

The Polyhedron Formula and the Birth of Topology

by David S. Richeson, David S. Richeson ...

Series series Princeton Science Library
How a simple equation reshaped mathematicsLeonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved ... Read more

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How a simple equation reshaped mathematicsLeonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved
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The Cohomology of Monoids

by Antonio M. Cegarra, Jonathan Leech ...

Series series Mathematics and Statistics (R0)
This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original monograph in the Memoirs of the American Mathematical Society dates back to 1975. This book is an organized, accessible, and self-contained account of this cohomology that includes more recent significant developments that were previously scattered among various publications, along ... Read more

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This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original monograph in the Memoirs of the American Mathematical Society dates back to 1975. This book is an organized, accessible, and self-contained account of this cohomology that includes more recent significant developments that were previously scattered among various publications, along
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Lectures On The Theory Of Group Properties Of Differential Equations

by Lev Vasilyevich Ovsyannikov, Nail H Ibragimov ...

These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the ... Read more

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These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the
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Drinfeld Modules

by Mihran Papikian ...

Series series Mathematics and Statistics (R0)
This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory.After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are ... Read more

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This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory.After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are
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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
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Topics On Real And Complex Singularities

by Satoshi Koike, Toshizumi Fukui, Laurentiu Paunescu, Adam Harris, Alexander Isaev ...

A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point, or a singular point. The purpose of singularity ... Read more

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A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point, or a singular point. The purpose of singularity
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Esercizi svolti di Matematica: Geometria Analitica

by Alessio Mangoni, Dott. Alessio Mangoni ...

Series Book 5 - Esercizi svolti di Matematica
In questo libro sono presentati vari esercizi sulla geometria analitica che vengono successivamente svolti passo a passo. Sono presenti grafici e figure illustrative che aiutano a risolvere gli esercizi. Il libro è indicato per tutti gli studenti delle scuole superiori e licei. Gli argomenti su cui si basano gli esercizi sono, in generale, la retta nel piano, le coniche, parabola, circonferenza, ... Read more

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In questo libro sono presentati vari esercizi sulla geometria analitica che vengono successivamente svolti passo a passo. Sono presenti grafici e figure illustrative che aiutano a risolvere gli esercizi. Il libro è indicato per tutti gli studenti delle scuole superiori e licei. Gli argomenti su cui si basano gli esercizi sono, in generale, la retta nel piano, le coniche, parabola, circonferenza,
... Read more
Handbook of Geometry and Topology of Singularities VII

Edited by José Luis Cisneros-Molina, Lê Dũng Tráng, José Seade ...

Series series Mathematics and Statistics (R0)
This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research.This volume consists of fourteen chapters that provide an in-depth and reader-friendly introduction to various important aspects of singularity theory. The ... Read more

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This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research.This volume consists of fourteen chapters that provide an in-depth and reader-friendly introduction to various important aspects of singularity theory. The
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Singularities and Computer Algebra

Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday

Edited by Wolfram Decker, Gerhard Pfister, Mathias Schulze ...

Series series Mathematics and Statistics (R0)
This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, ... Read more

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This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems,
... Read more
Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry

by Bang-yen Chen, Ye-lin Ou ...

The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results.Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus ... Read more

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The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results.Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus
... Read more
Playing with Infinity

Turtles, Patterns, and Pictures

by Hans Zantema ...

Series series AK Peters/CRC Recreational Mathematics Series
This is a book about infinity — specifically the infinity of numbers, and how one kind of infinity is greater than all the rest. Along the way the author will demonstrate how infinity can be made to create beautiful ‘art’, and how this process can help us to understand the fundamental nature of numbers. This book will provide a fascinating read for anyone interested in number theory, infinity, ... Read more

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This is a book about infinity — specifically the infinity of numbers, and how one kind of infinity is greater than all the rest. Along the way the author will demonstrate how infinity can be made to create beautiful ‘art’, and how this process can help us to understand the fundamental nature of numbers. This book will provide a fascinating read for anyone interested in number theory, infinity,
... Read more
All Sides to an Oval

Properties, Parameters and Borromini's Mysterious Construction

by Angelo Alessandro Mazzotti ...

Series series Mathematics and Statistics (R0)
This is the second edition of the only book dedicated to the Geometry of Polycentric Ovals. It includes problem solving constructions and mathematical formulas. For anyone interested in drawing or recognizing an oval, this book gives all the necessary construction, representation and calculation tools. More than 30 basic construction problems are solved, with references to Geogebra animation ... Read more

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This is the second edition of the only book dedicated to the Geometry of Polycentric Ovals. It includes problem solving constructions and mathematical formulas. For anyone interested in drawing or recognizing an oval, this book gives all the necessary construction, representation and calculation tools. More than 30 basic construction problems are solved, with references to Geogebra animation
... Read more
How Many Zeroes?

Counting Solutions of Systems of Polynomials via Toric Geometry at Infinity

by Pinaki Mondal ...

Series Book 2 - CMS/CAIMS Books in Mathematics
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. The text collects and synthesizes a number of works on Bernstein’s theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary, ... Read more

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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. The text collects and synthesizes a number of works on Bernstein’s theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary,
... Read more
Arithmetic Geometry, Number Theory, and Computation

Edited by Jennifer S. Balakrishnan, Noam Elkies, Brendan Hassett, Bjorn Poonen, Andrew V. Sutherland, John Voight ...

Series series Springer Nature Proceedings excluding Computer Science
This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces ... Read more

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This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces
... Read more
Note di Geometria Analitica dello Spazio

by Raffaele Monaco, Joe Raiola ...

In questo volume abbiamo sviluppato gli argomenti fondamentali della geometria analitica dello spazio tridimensionale.  Evitando un eccessivo rigore matematico, queste pagine risultano di semplice comprensione e adatte a tutti coloro che si avvicinano per la prima volta a questa “geometria spaziale”; sia a studenti liceali (i cui nuovi programmi comprendono un accenno di tale geometria) e sia a ... Read more

PHP174.29 or Free with Kobo Plus

In questo volume abbiamo sviluppato gli argomenti fondamentali della geometria analitica dello spazio tridimensionale.  Evitando un eccessivo rigore matematico, queste pagine risultano di semplice comprensione e adatte a tutti coloro che si avvicinano per la prima volta a questa “geometria spaziale”; sia a studenti liceali (i cui nuovi programmi comprendono un accenno di tale geometria) e sia a
... Read more
Geometry and Analysis on Finsler Spaces

by Qiaoling Xia ...

Series Book 17 - Nankai Tracts in Mathematics
Finsler geometry is just Riemannian geometry without a quadratic restriction. It has applications in many fields of natural sciences, including physics, psychology, and ecology. The book is intended to provide basic materials on Finsler geometry for readers and to bring them to the frontiers of active research on related topics.This book is comprised of three parts. In Part I (Chapters 1–4), the ... Read more

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Finsler geometry is just Riemannian geometry without a quadratic restriction. It has applications in many fields of natural sciences, including physics, psychology, and ecology. The book is intended to provide basic materials on Finsler geometry for readers and to bring them to the frontiers of active research on related topics.This book is comprised of three parts. In Part I (Chapters 1–4), the
... Read more
Superschool on Derived Categories and D-branes

Edmonton, Canada, July 17-23, 2016

Edited by Matthew Ballard, Charles Doran, David Favero, Eric Sharpe ...

Series series Springer Nature Proceedings excluding Computer Science
This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike.These proceedings provide a pleasant and broad ... Read more

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This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike.These proceedings provide a pleasant and broad
... Read more

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Recommended For You

Geometry eBooks

Proof!

General Relativity

Measurement

Lost in Math

Shape

String, Straightedge and Shadow: The Story of Geometry

Recent Developments in Commutative Algebra

Euler's Gem

The Cohomology of Monoids

Lectures On The Theory Of Group Properties Of Differential Equations

Drinfeld Modules

Decomposition of Jacobians by Prym Varieties

Topics On Real And Complex Singularities

Esercizi svolti di Matematica: Geometria Analitica

Handbook of Geometry and Topology of Singularities VII

Singularities and Computer Algebra

Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry

Playing with Infinity

All Sides to an Oval

How Many Zeroes?

Arithmetic Geometry, Number Theory, and Computation

Note di Geometria Analitica dello Spazio

Geometry and Analysis on Finsler Spaces

Superschool on Derived Categories and D-branes