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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 ... Läs mer

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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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av G. Polya ...

Serie serie Princeton Science Library
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A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have
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av Benoit B. Mandelbrot, Richard L. Hudson ...

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av ISAAC TODHUNTER ...

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This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis,
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These Lecture Notes provide an introduction to the study of those discrete surfaces which are obtained by randomly gluing polygons along their sides in a plane. The focus is on the geometry of such random planar maps (diameter, volume growth, scaling and local limits...) as well as the behavior of statistical mechanics models on them (percolation, simple random walks, self-avoiding random walks...
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av Maxwel Vitorino da Silva ...

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Geometria Analitica

av Manlio Bordoni ...

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Non-Euclidean Laguerre Geometry and Incircular Nets

av Alexander I. Bobenko, Carl O.R. Lutz, Helmut Pottmann, Jan Techter ...

Serie serie Mathematics and Statistics (R0)
This textbook is a comprehensive and yet accessible introduction to non-Euclidean Laguerre geometry, for which there exists no previous systematic presentation in the literature. Moreover, we present new results by demonstrating all essential features of Laguerre geometry on the example of checkerboard incircular nets.Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented ... Läs mer

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This textbook is a comprehensive and yet accessible introduction to non-Euclidean Laguerre geometry, for which there exists no previous systematic presentation in the literature. Moreover, we present new results by demonstrating all essential features of Laguerre geometry on the example of checkerboard incircular nets.Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented
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Shafarevich-Tate Groups

av M.L. Brown ...

Serie serie Mathematics and Statistics (R0)
This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic. Readers will better understand how the methods of Euler systems and Kolyvagin systems can be adapted to Heegner points and CM points. Also offered is a comprehensive overview of the most important classical and recent results on these objects. Shafarevich ... Läs mer

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This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic. Readers will better understand how the methods of Euler systems and Kolyvagin systems can be adapted to Heegner points and CM points. Also offered is a comprehensive overview of the most important classical and recent results on these objects. Shafarevich
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Lectures on Differential Geometry I

Differentiable Manifolds

av Will J. Merry ...

Serie serie Mathematics and Statistics (R0)
This textbook is designed for a one-semester introductory course in Differential Geometry. It covers the fundamentals of differentiable manifolds, explores Lie groups and homogeneous spaces, and concludes with rigorous proofs of Stokes’ Theorem and the de Rham Theorem. The material closely follows the author's lectures at ETH Zürich. ... Läs mer

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This textbook is designed for a one-semester introductory course in Differential Geometry. It covers the fundamentals of differentiable manifolds, explores Lie groups and homogeneous spaces, and concludes with rigorous proofs of Stokes’ Theorem and the de Rham Theorem. The material closely follows the author's lectures at ETH Zürich.
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Commutative Algebra

Expository Papers Dedicated to David Eisenbud on the Occasion of his 75th Birthday

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Serie serie Mathematics and Statistics (R0)
This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also ... Läs mer

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This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also
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The Moment-Weight Inequality and the Hilbert–Mumford Criterion

GIT from the Differential Geometric Viewpoint

av Valentina Georgoulas, Joel W. Robbin, Dietmar Arno Salamon ...

Serie serie Mathematics and Statistics (R0)
This book provides an introduction to geometric invariant theory from a differential geometric viewpoint. It is inspired by certain infinite-dimensional analogues of geometric invariant theory that arise naturally in several different areas of geometry. The central ingredients are the moment-weight inequality relating the Mumford numerical invariants to the norm of the moment map, the negative ... Läs mer

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This book provides an introduction to geometric invariant theory from a differential geometric viewpoint. It is inspired by certain infinite-dimensional analogues of geometric invariant theory that arise naturally in several different areas of geometry. The central ingredients are the moment-weight inequality relating the Mumford numerical invariants to the norm of the moment map, the negative
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Introduction to Differential Geometry with Tensor Applications

av Dipankar De ...

Serie serie Modern Mathematics in Computer Science
INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONSThis is the only volume of its kind to explain, in precise and easy-to-understand language, the fundamentals of tensors and their applications in differential geometry and analytical mechanics with examples for practical applications and questions for use in a course setting.Introduction to Differential Geometry with Tensor Applications ... Läs mer

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INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONSThis is the only volume of its kind to explain, in precise and easy-to-understand language, the fundamentals of tensors and their applications in differential geometry and analytical mechanics with examples for practical applications and questions for use in a course setting.Introduction to Differential Geometry with Tensor Applications
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Rekommenderas för dig

Geometri E-böcker

Lost in Math

How to Solve It

General Relativity

The (Mis)Behaviour of Markets

Measurement

The Elements of Euclid for the Use of Schools and Colleges (Illustrated)

Elliptic Tales

Introduction To General Relativity And Cosmology

Shape

Geometria Leandroniana

Galois Theory, Coverings, and Riemann Surfaces

Differential Forms

THE TRIGONOMETRY BEHIND THE FLIGHT OF AN AEROPLANE

Positive Definite Matrices

Mathematizing Space

Peeling Random Planar Maps

Geometria analítica

Geometria Analitica

Non-Euclidean Laguerre Geometry and Incircular Nets

Shafarevich-Tate Groups

Lectures on Differential Geometry I

Commutative Algebra

The Moment-Weight Inequality and the Hilbert–Mumford Criterion

Introduction to Differential Geometry with Tensor Applications