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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

PHP1,148.89

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
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

PHP500.59

**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
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

PHP840.49

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
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

PHP430.57 or Free with Kobo Plus

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
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
... Read more
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
... Read more
Guts of Surfaces and the Colored Jones Polynomial

by David Futer, Efstratia Kalfagianni, Jessica Purcell ...

Series series Mathematics and Statistics (R0)
This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial ... Read more

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This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial
... Read more
Introduction to Geometry and Topology

Translated by Walker Stern ...

by Werner Ballmann ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the ... Read more

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This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the
... Read more
Algebraic Groups

The Theory of Group Schemes of Finite Type over a Field

by J. S. Milne ...

Series Book 170 - Cambridge Studies in Advanced Mathematics
Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic geometry. The first eight chapters study general algebraic group schemes over a field and ... Read more

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Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic geometry. The first eight chapters study general algebraic group schemes over a field and
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Geometry, Topology and Operator Algebras

Global Analysis, Invariants and Their Significance in Theoretical Physics

Edited by Alexander Cardona, Andrés F. Reyes Lega ...

Series series Physics and Astronomy (R0)
This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications. Originating from lectures presented by experts during two summer schools held in Villa de Leyva, Colombia, the book reflects the synergy between global analysis, operator algebras, and their role in modern ... Read more

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This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications. Originating from lectures presented by experts during two summer schools held in Villa de Leyva, Colombia, the book reflects the synergy between global analysis, operator algebras, and their role in modern
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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

Topics from Differential Geometry and Geometric Analysis of Surfaces

by Steffen Fröhlich ...

Series series Mathematics and Statistics (R0)
This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It ... Read more

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This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensional Euclidean spaces, in particular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It
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p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects

Edited by Bhargav Bhatt, Martin Olsson ...

Series series Springer Nature Proceedings excluding Computer Science
This proceedings volume contains articles related to the research presented at the 2019 Simons Symposium on p-adic Hodge theory. This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning non-abelian aspects This volume contains both original research articles as well as articles that contain both new research as well as survey some of these recent ... Read more

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This proceedings volume contains articles related to the research presented at the 2019 Simons Symposium on p-adic Hodge theory. This symposium was focused on recent developments in p-adic Hodge theory, especially those concerning non-abelian aspects This volume contains both original research articles as well as articles that contain both new research as well as survey some of these recent
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Zeta Functions Of Reductive Groups And Their Zeros

by Lin Weng ...

This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the ... Read more

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This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology theory, and the
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Differential Geometry and General Relativity

Volume 1

by Canbin Liang, Bin Zhou ...

Translated by Bin Zhou, Weizhen Jia ...

Series series Physics and Astronomy (R0)
This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to ... Read more

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This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to
... Read more
Mathematical Challenges in a New Phase of Materials Science

Kyoto, Japan, August 2014

Edited by Yasumasa Nishiura, Motoko Kotani ...

Series series Springer Nature Proceedings excluding Computer Science
This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction ... Read more

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This volume comprises eight papers delivered at the RIMS International Conference "Mathematical Challenges in a New Phase of Materials Science", Kyoto, August 4–8, 2014. The contributions address subjects in defect dynamics, negatively curved carbon crystal, topological analysis of di-block copolymers, persistence modules, and fracture dynamics. These papers highlight the strong interaction
... Read more
Set Function T

An Account on F. B. Jones' Contributions to Topology

by Sergio Macías ...

Series series Mathematics and Statistics (R0)
This book presents, in a clear and structured way, the set function \mathcal{T} and how it evolved since its inception by Professor F. Burton Jones in the 1940s. It starts with a very solid introductory chapter, with all the prerequisite material for navigating through the rest of the book. It then gradually advances towards the main properties, Decomposition theorems, \mathcal{T}-closed sets, ... Read more

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This book presents, in a clear and structured way, the set function \mathcal{T} and how it evolved since its inception by Professor F. Burton Jones in the 1940s. It starts with a very solid introductory chapter, with all the prerequisite material for navigating through the rest of the book. It then gradually advances towards the main properties, Decomposition theorems, \mathcal{T}-closed sets,
... Read more
Analysis For Diffusion Processes On Riemannian Manifolds

by Feng-yu Wang ...

Series Book 18 - Advanced Series On Statistical Science And Applied Probability
Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula ... Read more

PHP3,049.19

Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula
... Read more
Instanton Counting, Quantum Geometry and Algebra

by Taro Kimura ...

Series series Physics and Astronomy (R0)
This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual Yang–Mills equation in four dimensions.In the first ... Read more

PHP8,395.99

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual Yang–Mills equation in four dimensions.In the first
... Read more
Differential Geometry and Lie Groups

A Second Course

by Jean Gallier, Jocelyn Quaintance ...

Series series Mathematics and Statistics (R0)
This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing. Analytic and algebraic perspectives augment core topics, with the authors taking care to motivate each new concept. Whether working toward theoretical or applied questions, readers will appreciate this accessible exploration of the mathematical concepts behind many ... Read more

PHP3,874.79

This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing. Analytic and algebraic perspectives augment core topics, with the authors taking care to motivate each new concept. Whether working toward theoretical or applied questions, readers will appreciate this accessible exploration of the mathematical concepts behind many
... Read more
Gaṇitānanda

Selected Works of Radha Charan Gupta on History of Mathematics

Edited by K. Ramasubramanian ...

Series series Mathematics and Statistics (R0)
This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics pertaining to mathematics and astronomy in India. It is divided into ten parts. Part I presents three articles offering an overview of Professor Gupta’s oeuvre. The four articles in Part II convey the importance of ... Read more

PHP10,333.69

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics pertaining to mathematics and astronomy in India. It is divided into ten parts. Part I presents three articles offering an overview of Professor Gupta’s oeuvre. The four articles in Part II convey the importance of
... Read more
Geometry at the Quantum Scale

Understanding the Geometric Language of Relativistic Quantum Mechanics

by Marcos D. Maia, Edmundo M. Monte ...

Series series Physics and Astronomy (R0)
This book presents a single geometric language for the fundamental physics that has been discovered from the beginning of the twentieth century to the present day. The first two chapters give a brief summary of the four known fundamental forces, namely the three known gauge forces (the electromagnetic and the two nuclear forces) and the gravitational force. These chapters also summarize the main ... Read more

PHP7,750.09

This book presents a single geometric language for the fundamental physics that has been discovered from the beginning of the twentieth century to the present day. The first two chapters give a brief summary of the four known fundamental forces, namely the three known gauge forces (the electromagnetic and the two nuclear forces) and the gravitational force. These chapters also summarize the main
... Read more
Lectures on Geometry

by Lucian Bădescu, Ettore Carletti ...

Series series Mathematics and Statistics (R0)
This is an introductory textbook on geometry (affine, Euclidean and projective) suitable for any undergraduate or first-year graduate course in mathematics and physics. In particular, several parts of the first ten chapters can be used in a course of linear algebra, affine and Euclidean geometry by students of some branches of engineering and computer science. Chapter 11 may be useful as an ... Read more

PHP4,520.69

This is an introductory textbook on geometry (affine, Euclidean and projective) suitable for any undergraduate or first-year graduate course in mathematics and physics. In particular, several parts of the first ten chapters can be used in a course of linear algebra, affine and Euclidean geometry by students of some branches of engineering and computer science. Chapter 11 may be useful as an
... Read more
Smooth Manifolds

by Claudio Gorodski ...

Series series Mathematics and Statistics (R0)
This concise and practical textbook presents the essence of the theory on smooth manifolds. A key concept in mathematics, smooth manifolds are ubiquitous: They appear as Riemannian manifolds in differential geometry; as space-times in general relativity; as phase spaces and energy levels in mechanics; as domains of definition of ODEs in dynamical systems; as Lie groups in algebra and geometry; and ... Read more

PHP3,551.79

This concise and practical textbook presents the essence of the theory on smooth manifolds. A key concept in mathematics, smooth manifolds are ubiquitous: They appear as Riemannian manifolds in differential geometry; as space-times in general relativity; as phase spaces and energy levels in mechanics; as domains of definition of ODEs in dynamical systems; as Lie groups in algebra and geometry; and
... Read more
Pure Math: Discovering the Beauty of Abstract Mathematics

by Lexa N. Palmer ...

Pure Math: Discovering the Beauty of Abstract Mathematics offers a unique approach to exploring the captivating world of pure mathematics. It's where logic meets imagination, and abstract thought gives rise to profound beauty. This book takes you beyond the formulas and calculations, uncovering the hidden elegance that lies at the heart of mathematical structures, patterns, and theories.From the ... Read more

PHP430.57

Pure Math: Discovering the Beauty of Abstract Mathematics offers a unique approach to exploring the captivating world of pure mathematics. It's where logic meets imagination, and abstract thought gives rise to profound beauty. This book takes you beyond the formulas and calculations, uncovering the hidden elegance that lies at the heart of mathematical structures, patterns, and theories.From the
... 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

Guts of Surfaces and the Colored Jones Polynomial

Introduction to Geometry and Topology

Algebraic Groups

Geometry, Topology and Operator Algebras

Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

p-adic Hodge Theory, Singular Varieties, and Non-Abelian Aspects

Zeta Functions Of Reductive Groups And Their Zeros

Differential Geometry and General Relativity

Mathematical Challenges in a New Phase of Materials Science

Set Function T

Analysis For Diffusion Processes On Riemannian Manifolds

Instanton Counting, Quantum Geometry and Algebra

Differential Geometry and Lie Groups

Gaṇitānanda

Geometry at the Quantum Scale

Lectures on Geometry

Smooth Manifolds

Pure Math: Discovering the Beauty of Abstract Mathematics