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Lost in Math

How Beauty Leads Physics Astray

de 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 ... Leer más

Antes $11.09 USD Ahora $2.00 USD

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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The Metaphysics of the Pythagorean Theorem

Thales, Pythagoras, Engineering, Diagrams, and the Construction of the Cosmos out of Right Triangles

de Robert Hahn ...

Series series SUNY series in Ancient Greek Philosophy
Explores Thales's speculative philosophy through a study of geometrical diagrams.Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and ... Leer más

$35.09 USD

Explores Thales's speculative philosophy through a study of geometrical diagrams.Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was an older contemporary of Pythagoras, posited the principle of a unity from which all things come, and
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Analytic Aspects of Convexity

Edición de Gabriele Bianchi, Andrea Colesanti, Paolo Gronchi ...

Series series Mathematics and Statistics (R0)
This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will ... Leer más

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This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will
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Classical and Quantum Physics

60 Years Alberto Ibort Fest Geometry, Dynamics, and Control

Edición de G. Marmo, David Martín de Diego, Miguel Muñoz Lecanda ...

Series series Springer Nature Proceedings excluding Computer Science
This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas.Most of Albertos’s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply ... Leer más

$94.39 USD

This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas.Most of Albertos’s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply
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Intersection Homology & Perverse Sheaves

with Applications to Singularities

de Laurenţiu G. Maxim ...

Series series Mathematics and Statistics (R0)
This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further ... Leer más

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This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further
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Solid Analytic Geometry

de Abraham Adrian Albert ...

Series series Dover Books on Mathematics
The first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses or supplementary study.Chapters 1 and 2 contain a treatment of the equations of lines and planes. Subsequent ... Leer más

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The first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses or supplementary study.Chapters 1 and 2 contain a treatment of the equations of lines and planes. Subsequent
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Lectures on Analytic and Projective Geometry

de Dirk J. Struik ...

Series series Dover Books on Mathematics
Based on a historic approach taken by instructors at MIT, this text is geared toward junior and senior undergraduate courses in analytic and projective geometry. Starting with concepts concerning points on a line and lines through a point, it proceeds to the geometry of plane and space, leading up to conics and quadrics developed within the context of metrical, affine, and projective ... Leer más

$14.39 USD

Based on a historic approach taken by instructors at MIT, this text is geared toward junior and senior undergraduate courses in analytic and projective geometry. Starting with concepts concerning points on a line and lines through a point, it proceeds to the geometry of plane and space, leading up to conics and quadrics developed within the context of metrical, affine, and projective
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Technical Calculus with Analytic Geometry

de Judith L. Gersting ...

Series series Dover Books on Mathematics
This well-thought-out text, filled with many special features, is designed for a two-semester course in calculus for technology students with a background in college algebra and trigonometry. The author has taken special care to make the book appealing to students by providing motivating examples, facilitating an intuitive understanding of the underlying concepts involved, and by providing much ... Leer más

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This well-thought-out text, filled with many special features, is designed for a two-semester course in calculus for technology students with a background in college algebra and trigonometry. The author has taken special care to make the book appealing to students by providing motivating examples, facilitating an intuitive understanding of the underlying concepts involved, and by providing much
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Analytical Geometry of Three Dimensions

de William H. McCrea ...

Series series Dover Books on Mathematics
Brief but rigorous, this text is geared toward advanced undergraduates and graduate students. It covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations of the second degree, quadric in Cartesian coordinates, and intersection of quadrics.Mathematician, physicist, and astronomer, William H. McCrea conducted research in many areas and is best known for his ... Leer más

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Brief but rigorous, this text is geared toward advanced undergraduates and graduate students. It covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations of the second degree, quadric in Cartesian coordinates, and intersection of quadrics.Mathematician, physicist, and astronomer, William H. McCrea conducted research in many areas and is best known for his
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Introduction to Differentiable Manifolds

de Louis Auslander, Robert E. MacKenzie ...

Series series Dover Books on Mathematics
The first book to treat manifold theory at an introductory level, this text surveys basic concepts in the modern approach to differential geometry. The first six chapters define and illustrate differentiable manifolds, and the final four chapters investigate the roles of differential structures in a variety of situations.Starting with an introduction to differentiable manifolds and their tangent ... Leer más

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The first book to treat manifold theory at an introductory level, this text surveys basic concepts in the modern approach to differential geometry. The first six chapters define and illustrate differentiable manifolds, and the final four chapters investigate the roles of differential structures in a variety of situations.Starting with an introduction to differentiable manifolds and their tangent
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Symmetry Discovered

Concepts and Applications in Nature and Science

de Joe Rosen ...

Series series Dover Books on Mathematics
Symmetry provides an insight into the way nature works and is often used by scientists and technologists to help solve problems. Symmetry has numerous other applications as well — with more being discovered all the time in science, the arts and other fields of human endeavor.This classic work provides an excellent introduction to the basic concepts and terminology (including, optionally, group ... Leer más

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Symmetry provides an insight into the way nature works and is often used by scientists and technologists to help solve problems. Symmetry has numerous other applications as well — with more being discovered all the time in science, the arts and other fields of human endeavor.This classic work provides an excellent introduction to the basic concepts and terminology (including, optionally, group
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Convex Surfaces

de Herbert Busemann ...

Series series Dover Books on Mathematics
In this self-contained geometry text, the author describes the main results of convex surface theory, providing all definitions and precise theorems. The first half focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. The second part examines intrinsic geometry and the realization of intrinsic metrics.Starting with a brief overview of notations and terminology, the text ... Leer más

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In this self-contained geometry text, the author describes the main results of convex surface theory, providing all definitions and precise theorems. The first half focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. The second part examines intrinsic geometry and the realization of intrinsic metrics.Starting with a brief overview of notations and terminology, the text
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Introduction to Tensor Analysis and the Calculus of Moving Surfaces

de Pavel Grinfeld ...

Series series Mathematics and Statistics (R0)
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds.Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once ... Leer más

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This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds.Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once
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Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects

LMS-CMI Research School, London, July 2018

Edición de Frank Neumann, Ambrus Pál ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry.The contributions to this volume are based on original lectures by leading researchers at the LMS-CMI Research School on ‘Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects’ and the Nelder Fellow Lecturer Series, which both took place at Imperial College London in ... Leer más

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This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry.The contributions to this volume are based on original lectures by leading researchers at the LMS-CMI Research School on ‘Homotopy Theory and Arithmetic Geometry - Motivic and Diophantine Aspects’ and the Nelder Fellow Lecturer Series, which both took place at Imperial College London in
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Concentration of Measure for the Analysis of Randomized Algorithms

de Alessandro Panconesi, Devdatt P. Dubhashi ...

Randomized algorithms have become a central part of the algorithms curriculum, based on their increasingly widespread use in modern applications. This book presents a coherent and unified treatment of probabilistic techniques for obtaining high probability estimates on the performance of randomized algorithms. It covers the basic toolkit from the Chernoff–Hoeffding bounds to more sophisticated ... Leer más

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Randomized algorithms have become a central part of the algorithms curriculum, based on their increasingly widespread use in modern applications. This book presents a coherent and unified treatment of probabilistic techniques for obtaining high probability estimates on the performance of randomized algorithms. It covers the basic toolkit from the Chernoff–Hoeffding bounds to more sophisticated
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Fast Track: Geometry

Essential Review for AP, Honors, and Other Advanced Study

de The Princeton Review ...

Series series High School Subject Review
GET UP TO SPEED WITH FAST TRACK: GEOMETRY! Covering the most important material taught in high school geometry classes, this essential review book gets readers on the fast track to class success, with critical information presented in an easy-to-follow quick-study format!Inside this book, you'll find:• Clear, concise summaries of the most important concepts, formulas, and geometric skills• ... Leer más

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GET UP TO SPEED WITH FAST TRACK: GEOMETRY! Covering the most important material taught in high school geometry classes, this essential review book gets readers on the fast track to class success, with critical information presented in an easy-to-follow quick-study format!Inside this book, you'll find:• Clear, concise summaries of the most important concepts, formulas, and geometric skills•
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Algebraic, Complex, and Arithmetic Dynamics

Edición de Laura DeMarco, Mattias Jonsson ...

Series series Springer Nature Proceedings excluding Computer Science
This book grew out of a series of three Simons Symposia in 2019, 2022, and 2024, that focused on the interactions between three types of dynamics—algebraic, complex, and arithmetic—and their connections to the closely related areas of algebraic, complex, and arithmetic geometry. Dynamical systems play a key role both in pure mathematics and its applications. These meetings brought experts together ... Leer más

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This book grew out of a series of three Simons Symposia in 2019, 2022, and 2024, that focused on the interactions between three types of dynamics—algebraic, complex, and arithmetic—and their connections to the closely related areas of algebraic, complex, and arithmetic geometry. Dynamical systems play a key role both in pure mathematics and its applications. These meetings brought experts together
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Shaping Space

Exploring Polyhedra in Nature, Art, and the Geometrical Imagination

Edición de Marjorie Senechal ...

Series series Mathematics and Statistics (R0)
Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: Shaping Space—Exploring Polyhedra in Nature, Art, and the Geometrical Imagination is an exuberant survey of polyhedra and at the same time a hands-on, mind-boggling introduction to one of the oldest and most fascinating branches of mathematics.Some of the world’s leading geometers present a treasury of ideas ... Leer más

$49.29 USD

Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: Shaping Space—Exploring Polyhedra in Nature, Art, and the Geometrical Imagination is an exuberant survey of polyhedra and at the same time a hands-on, mind-boggling introduction to one of the oldest and most fascinating branches of mathematics.Some of the world’s leading geometers present a treasury of ideas
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Introductory Topology: Exercises And Solutions (Second Edition)

de Mohammed Hichem Mortad ...

'The book is well written, and there is a welcome breadth in the choice of topics. I think this book is a valuable resource. Students who meticulously work through all the problems in the book in an intelligent way, will surely gain considerable insight into the subject; teachers who donâ€™t tell their students about it will find it a valuable source for exam questions.'The Mathematical GazetteThe ... Leer más

$34.19 USD

'The book is well written, and there is a welcome breadth in the choice of topics. I think this book is a valuable resource. Students who meticulously work through all the problems in the book in an intelligent way, will surely gain considerable insight into the subject; teachers who donâ€™t tell their students about it will find it a valuable source for exam questions.'The Mathematical GazetteThe
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Empirical Theories

Empirical Theories Notes

de John Tabu Irungu ...

Series Libro 31 - Empirical Theories
Mathematical Proofs that a Circle is a Polygon, and a Sphere is not RoundNote: '•' is a multiplication sign, not the bullet. And superscripts and subscripts are not usable in this description, so I have used the long version of 'powers of ten' and long version of squared and cubed, the actual words not the notation. The forward slash is obviously a division sign.The obvious one: Area Formula of ... Leer más

$180.00 USD

Mathematical Proofs that a Circle is a Polygon, and a Sphere is not RoundNote: '•' is a multiplication sign, not the bullet. And superscripts and subscripts are not usable in this description, so I have used the long version of 'powers of ten' and long version of squared and cubed, the actual words not the notation. The forward slash is obviously a division sign.The obvious one: Area Formula of
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Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry

de Jean Gallier, Jocelyn Quaintance ...

For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co ... Leer más

$53.09 USD

For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co
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Kitchen Science Fractals: A Lab Manual For Fractal Geometry

de Michael Frame, Nial Neger ...

This book provides a collection of 44 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional ... Leer más

$34.19 USD

This book provides a collection of 44 simple computer and physical laboratory experiments, including some for an artist's studio and some for a kitchen, that illustrate the concepts of fractal geometry. In addition to standard topics — iterated function systems (IFS), fractal dimension computation, the Mandelbrot set — we explore data analysis by driven IFS, construction of four-dimensional
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Chasles and the Projective Geometry

The Birth of a Global Foundational Programme for Mathematics, Mechanics and Philosophy

de Paolo Bussotti ...

Series series Mathematics and Statistics (R0)
This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-century geometry. Through an in-depth analysis of Chasles' extensive body of work, the author examines six pivotal arguments which collectively reshape the foundations of geometry. Chasles introduces a novel form of polarity, termed "parabolic," to the graphic context, so expressing the metric ... Leer más

$178.29 USD

This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-century geometry. Through an in-depth analysis of Chasles' extensive body of work, the author examines six pivotal arguments which collectively reshape the foundations of geometry. Chasles introduces a novel form of polarity, termed "parabolic," to the graphic context, so expressing the metric
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Comparison Finsler Geometry

de Shin-ichi Ohta ...

Series series Mathematics and Statistics (R0)
This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds. Generalizing the weighted Ricci curvature into the Finsler setting, the author systematically derives the fundamental geometric and analytic inequalities in the Finsler context. Relying only upon knowledge of differentiable manifolds, this treatment offers an accessible entry point to ... Leer más

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This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds. Generalizing the weighted Ricci curvature into the Finsler setting, the author systematically derives the fundamental geometric and analytic inequalities in the Finsler context. Relying only upon knowledge of differentiable manifolds, this treatment offers an accessible entry point to
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eBooks de Geometría

Lost in Math

The Metaphysics of the Pythagorean Theorem

Analytic Aspects of Convexity

Classical and Quantum Physics

Intersection Homology & Perverse Sheaves

Solid Analytic Geometry

Lectures on Analytic and Projective Geometry

Technical Calculus with Analytic Geometry

Analytical Geometry of Three Dimensions

Introduction to Differentiable Manifolds

Symmetry Discovered

Convex Surfaces

Introduction to Tensor Analysis and the Calculus of Moving Surfaces

Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects

Concentration of Measure for the Analysis of Randomized Algorithms

Fast Track: Geometry

Algebraic, Complex, and Arithmetic Dynamics

Shaping Space

Introductory Topology: Exercises And Solutions (Second Edition)

Empirical Theories

Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry

Kitchen Science Fractals: A Lab Manual For Fractal Geometry

Chasles and the Projective Geometry

Comparison Finsler Geometry