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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

$11.09 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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Differential Geometry Of Curves And Surfaces

de Masaaki Umehara, Kotaro Yamada, Wayne Rossman ...

'In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual and interesting course. The primary function of this book will be as a text for a more conventional course in the classical theory of curves and surfaces.'MAA ReviewsThis engrossing volume on curve and surface theories is the result of many ... Leer más

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'In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual and interesting course. The primary function of this book will be as a text for a more conventional course in the classical theory of curves and surfaces.'MAA ReviewsThis engrossing volume on curve and surface theories is the result of many
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Analytic Function Theory of Several Variables

Elements of Oka’s Coherence

de Junjiro Noguchi ...

Series series Mathematics and Statistics (R0)
The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert–Remmert's two volumes, GL227(236) (Theory of Stein spaces) and GL265 (Coherent analytic sheaves) with a ... Leer más

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The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert–Remmert's two volumes, GL227(236) (Theory of Stein spaces) and GL265 (Coherent analytic sheaves) with a
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How Many Zeroes?

Counting Solutions of Systems of Polynomials via Toric Geometry at Infinity

de Pinaki Mondal ...

Series Libro 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, ... Leer más

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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,
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Geometry by Its Transformations

Lessons Centered on the History from 1800-1855

de Christopher Baltus ...

Series series Mathematics and Statistics (R0)
This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid’s Elements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Möbius transformation, ... Leer más

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This textbook combines the history of synthetic geometry, centered on the years 1800-1855, with a theorem-proof exposition of the geometry developed in those years. The book starts with the background needed from Euclid’s Elements, followed by chapters on transformations, including dilation (similitude), homology, homogeneous coordinates, projective geometry, inversion, the Möbius transformation,
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A história e saga da constante π

Da antiguidade aos segredos do universo

de Cloves Rocha Sampaio Júnior ...

Em A história e saga da constante π: Da antiguidade aos segredos do universo, Cloves Rocha Sampaio Júnio conduz o leitor por uma jornada fascinante através dos mistérios de π, o número que intrigou matemáticos por milênios. Com uma abordagem inovadora, o autor desafia as percepções tradicionais ao propor uma compreensão racional e repetitiva de π, utilizando métodos matemáticos avançados e o ... Leer más

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Em A história e saga da constante π: Da antiguidade aos segredos do universo, Cloves Rocha Sampaio Júnio conduz o leitor por uma jornada fascinante através dos mistérios de π, o número que intrigou matemáticos por milênios. Com uma abordagem inovadora, o autor desafia as percepções tradicionais ao propor uma compreensão racional e repetitiva de π, utilizando métodos matemáticos avançados e o
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Exercícios de Geometria dos Sólidos

de Simone Malacrida ...

Neste livro, são realizados exercícios sobre os seguintes tópicos matemáticos:figuras sólidas de rotação: esfera, cone, cilindropoliedros: cubo, prisma e paralelepípedo.Também são apresentadas dicas teóricas iniciais para a compreensão da execução dos exercícios. ... Leer más

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Neste livro, são realizados exercícios sobre os seguintes tópicos matemáticos:figuras sólidas de rotação: esfera, cone, cilindropoliedros: cubo, prisma e paralelepípedo.Também são apresentadas dicas teóricas iniciais para a compreensão da execução dos exercícios.
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Geometry of CR-Submanifolds and Applications

de Bang-Yen Chen, Mohammad Hasan Shahid, Gabriel-Eduard Vîlcu ...

Series series Mathematics and Statistics (R0)
This book attempts to present a comprehensive survey of the geometry of CR-submanifolds. The theory of submanifolds is one of the most interesting topics in differential geometry. The topic is introduced by Aurel Bejancu as a generalization of holomorphic and totally real submanifolds of almost Hermitian manifolds, in 1978. Afterward, the study of CR-submanifolds became a very active research ... Leer más

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This book attempts to present a comprehensive survey of the geometry of CR-submanifolds. The theory of submanifolds is one of the most interesting topics in differential geometry. The topic is introduced by Aurel Bejancu as a generalization of holomorphic and totally real submanifolds of almost Hermitian manifolds, in 1978. Afterward, the study of CR-submanifolds became a very active research
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Bernhard Riemann — On the Hypotheses Which Lie at the Bases of Geometry

de Jürgen Jost ...

Series series Mathematics and Statistics (R0)
This book presents William Clifford’s English translation of Bernhard Riemann’s seminal text, accompanied by detailed mathematical, historical, and philosophical commentary. It explores Riemann’s revolutionary ideas on space, placing them within the broader framework developed by later thinkers such as Helmholtz, Ricci, Weyl, and Einstein. A historical introduction situates Riemann’s work in its ... Leer más

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This book presents William Clifford’s English translation of Bernhard Riemann’s seminal text, accompanied by detailed mathematical, historical, and philosophical commentary. It explores Riemann’s revolutionary ideas on space, placing them within the broader framework developed by later thinkers such as Helmholtz, Ricci, Weyl, and Einstein. A historical introduction situates Riemann’s work in its
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Integral Inequalities and Generalized Convexity

de Shashi Kant Mishra, Nidhi Sharma, Jaya Bisht ...

The e-book+ version of the book, Integral Inequalities and Generalized Convexity, complements the other versions of the book. The e-book+ version provides the user with additional features to enhance the user’s understanding of this reference text. The four short videos recorded by the author and embedded in appropriate sections of the book outline and explain the key features of the book which ... Leer más

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The e-book+ version of the book, Integral Inequalities and Generalized Convexity, complements the other versions of the book. The e-book+ version provides the user with additional features to enhance the user’s understanding of this reference text. The four short videos recorded by the author and embedded in appropriate sections of the book outline and explain the key features of the book which
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Numeri Complessi e Geometria Euclidea

de Nicola Bellini ...

Si attribuisce ai complessi una natura puramente geometrica che ha tardato a mettersi in luce per questioni storico -culturali. A partire dalla geometria euclidea si introducono i numeri complessi come punti del piano (enti puramente geometrici) attraverso due operazioni che traducano le trasformazioni fondamentali del piano euclideo di traslazione, omotetia e rotazione. Il calcolo geometrico che ... Leer más

$11.64 USD o gratis con Kobo Plus

Si attribuisce ai complessi una natura puramente geometrica che ha tardato a mettersi in luce per questioni storico -culturali. A partire dalla geometria euclidea si introducono i numeri complessi come punti del piano (enti puramente geometrici) attraverso due operazioni che traducano le trasformazioni fondamentali del piano euclideo di traslazione, omotetia e rotazione. Il calcolo geometrico che
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Automated Inequality Proving And Discovering

de Bican Xia, Lu Yang ...

This is the first book that focuses on practical algorithms for polynomial inequality proving and discovering. It is a summary of the work by the authors and their collaborators on automated inequality proving and discovering in recent years. Besides brief introduction to some classical results and related work in corresponding chapters, the book mainly focuses on the algorithms initiated by the ... Leer más

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This is the first book that focuses on practical algorithms for polynomial inequality proving and discovering. It is a summary of the work by the authors and their collaborators on automated inequality proving and discovering in recent years. Besides brief introduction to some classical results and related work in corresponding chapters, the book mainly focuses on the algorithms initiated by the
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Spectral Theory of Infinite-Area Hyperbolic Surfaces

de David Borthwick ...

Series series Mathematics and Statistics (R0)
This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum. ... Leer más

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This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum.
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A Short Course in Differential Topology

de Bjørn Ian Dundas ...

Series series Cambridge Mathematical Textbooks
Manifolds are abound in mathematics and physics, and increasingly in cybernetics and visualization where they often reflect properties of complex systems and their configurations. Differential topology gives us the tools to study these spaces and extract information about the underlying systems. This book offers a concise and modern introduction to the core topics of differential topology for ... Leer más

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Manifolds are abound in mathematics and physics, and increasingly in cybernetics and visualization where they often reflect properties of complex systems and their configurations. Differential topology gives us the tools to study these spaces and extract information about the underlying systems. This book offers a concise and modern introduction to the core topics of differential topology for
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Theta Functions And Knots

de Razvan Gelca ...

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan Gelca and Alejandro Uribe, which converts Weil's representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be ... Leer más

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This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan Gelca and Alejandro Uribe, which converts Weil's representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be
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Motivic Integration

de Antoine Chambert-Loir, Johannes Nicaise, Julien Sebag ...

Series series Mathematics and Statistics (R0)
This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first ... Leer más

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This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first
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Topological Quantum Field Theories from Subfactors

de Vijay Kodiyalam ...

Series series Chapman & Hall/CRC Research Notes in Mathematics Series
Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible. Topological Quant ... Leer más

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Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible. Topological Quant
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Varietà Differenziabili

de Francesco D'Andrea ...

La Geometria Differenziale è una disciplina che combina gli strumenti dell’Analisi Matematica, dell’Algebra Lineare e della Topologia con lo scopo di studiare oggetti geometrici che generalizzano, in dimensione arbitraria, le curve e le superfici dello spazio Euclideo. Tali oggetti prendono il nome di varietà differenziabili.La geometria differenziale è fondamentale per la comprensione della ... Leer más

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La Geometria Differenziale è una disciplina che combina gli strumenti dell’Analisi Matematica, dell’Algebra Lineare e della Topologia con lo scopo di studiare oggetti geometrici che generalizzano, in dimensione arbitraria, le curve e le superfici dello spazio Euclideo. Tali oggetti prendono il nome di varietà differenziabili.La geometria differenziale è fondamentale per la comprensione della
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Local Cohomology

An Algebraic Introduction with Geometric Applications

de M. P. Brodmann, R. Y. Sharp ...

Series Libro 136 - Cambridge Studies in Advanced Mathematics
This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum ... Leer más

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This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum
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Riemannian Geometry

de Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine ...

Series series Mathematics and Statistics (R0)
From the preface:Many years have passed since the first edition. However, the encouragements of various readers and friends have persuaded us to write this third edition. During these years, Riemannian Geometry has undergone many dramatic developments. Here is not the place to relate them. The reader can consult for instance the recent book [Br5]. of our “mentor” Marcel Berger. However, Riemannian ... Leer más

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From the preface:Many years have passed since the first edition. However, the encouragements of various readers and friends have persuaded us to write this third edition. During these years, Riemannian Geometry has undergone many dramatic developments. Here is not the place to relate them. The reader can consult for instance the recent book [Br5]. of our “mentor” Marcel Berger. However, Riemannian
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Empowering Novel Geometric Algebra for Graphics and Engineering

7th International Workshop, ENGAGE 2022, Virtual Event, September 12, 2022, Proceedings

Edición de Eckhard Hitzer, George Papagiannakis, Petr Vasik ...

Series series Springer Nature Proceedings Computer Science
This book constitutes the proceedings of the Workshop Empowering Novel Geometric Algebra for Graphics and Engineering, ENGAGE 2022, held in conjunction with Computer Graphics International conference, CGI 2022, which took place virtually, in September 2022.The 10 full papers included in this volume were carefully reviewed and selected from 12 submissions. The workshop focused specifically on ... Leer más

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This book constitutes the proceedings of the Workshop Empowering Novel Geometric Algebra for Graphics and Engineering, ENGAGE 2022, held in conjunction with Computer Graphics International conference, CGI 2022, which took place virtually, in September 2022.The 10 full papers included in this volume were carefully reviewed and selected from 12 submissions. The workshop focused specifically on
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Contact Geometry of Slant Submanifolds

Edición de Bang-Yen Chen, Mohammad Hasan Shahid, Falleh Al-Solamy ...

Series series Mathematics and Statistics (R0)
This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned researchers. The notion of slant submanifolds was introduced by Prof. B.Y. Chen in 1990, and A. Lotta extended this notion in the framework of contact geometry in 1996. Numerous differential geometers have since obtained interesting results on contact ... Leer más

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This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned researchers. The notion of slant submanifolds was introduced by Prof. B.Y. Chen in 1990, and A. Lotta extended this notion in the framework of contact geometry in 1996. Numerous differential geometers have since obtained interesting results on contact
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A Geometric Journey Toward Genuine Multipartite Entanglement

de Songbo Xie ...

Series series Physics and Astronomy (R0)
This thesis proposes a novel measure of quantum entanglement that can be used to characterize the degree of entanglement of three (or more) parties. Entanglement has been studied and used in many ways since Erwin Schrödinger defined and named it in 1935, but quantifiable measures of the degree of entanglement, known as concurrence, have long been limited to two quantum parties (two qubits, for ... Leer más

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This thesis proposes a novel measure of quantum entanglement that can be used to characterize the degree of entanglement of three (or more) parties. Entanglement has been studied and used in many ways since Erwin Schrödinger defined and named it in 1935, but quantifiable measures of the degree of entanglement, known as concurrence, have long been limited to two quantum parties (two qubits, for
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Algebra 3

Homological Algebra and Its Applications

de Ramji Lal ...

Series series Infosys Science Foundation Series
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, ... Leer más

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This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology,
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eBooks de Geometría

Lost in Math

Differential Geometry Of Curves And Surfaces

Analytic Function Theory of Several Variables

How Many Zeroes?

Geometry by Its Transformations

A história e saga da constante π

Exercícios de Geometria dos Sólidos

Geometry of CR-Submanifolds and Applications

Bernhard Riemann — On the Hypotheses Which Lie at the Bases of Geometry

Integral Inequalities and Generalized Convexity

Numeri Complessi e Geometria Euclidea

Automated Inequality Proving And Discovering

Spectral Theory of Infinite-Area Hyperbolic Surfaces

A Short Course in Differential Topology

Theta Functions And Knots

Motivic Integration

Topological Quantum Field Theories from Subfactors

Varietà Differenziabili

Local Cohomology

Riemannian Geometry

Empowering Novel Geometric Algebra for Graphics and Engineering

Contact Geometry of Slant Submanifolds

A Geometric Journey Toward Genuine Multipartite Entanglement

Algebra 3