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The (Mis)Behaviour of Markets

A Fractal View of Risk, Ruin and Reward

by Benoit B. Mandelbrot, Richard L. Hudson ...

This international bestseller, which foreshadowed a market crash, explains why it could happen again if we don't act now. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf or static in a computer connection to a few simple mathematical properties. With his fractal tools, Mandelbrot has got to the bottom of how financial markets really work. He finds they ... Read more

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This international bestseller, which foreshadowed a market crash, explains why it could happen again if we don't act now. Fractal geometry is the mathematics of roughness: how to reduce the outline of a jagged leaf or static in a computer connection to a few simple mathematical properties. With his fractal tools, Mandelbrot has got to the bottom of how financial markets really work. He finds they
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Geometry of Grief

Reflections on Mathematics, Loss, and Life

by Michael Frame ...

" With poignancy and audacity, Frame builds an unexpected bridge between mathematical beauty and human sorrow, illuminating both." —Francis Su, author of Mathematics for Human FlourishingWe all know the euphoria of intellectual epiphany—the thrill of sudden understanding. But coupled with that excitement is a sense of loss: a moment of epiphany can never be repeated. In Geometry of Grief *, ... Read more

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" With poignancy and audacity, Frame builds an unexpected bridge between mathematical beauty and human sorrow, illuminating both." —Francis Su, author of Mathematics for Human FlourishingWe all know the euphoria of intellectual epiphany—the thrill of sudden understanding. But coupled with that excitement is a sense of loss: a moment of epiphany can never be repeated. In Geometry of Grief *,
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The Maths Book

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by DK ...

Series series DK Big Ideas
Learn about the most important mathematical ideas, theorems, and movements in The Maths Book.Part of the fascinating Big Ideas series, this book tackles tricky topics and themes in a simple and easy to follow format. Learn about Maths in this overview guide to the subject, great for novices looking to find out more and experts wishing to refresh their knowledge alike! The Maths Book brings a fresh ... Read more

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Learn about the most important mathematical ideas, theorems, and movements in The Maths Book.Part of the fascinating Big Ideas series, this book tackles tricky topics and themes in a simple and easy to follow format. Learn about Maths in this overview guide to the subject, great for novices looking to find out more and experts wishing to refresh their knowledge alike! The Maths Book brings a fresh
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Sacred Geometry

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Series series Sacred
Sacred Geometry exists all around us in the natural world, from the unfurling of a rose bud to the pattern of a tortoise shell, the sub-atomic to the galactic. A pure expression of number and form, it is the language of creation and navigates the unseen dimensions beyond our three-dimensional reality.Since its discovery, humans have found many ways - stone circles, mandalas, labyrinths, temples- ... Read more

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Sacred Geometry exists all around us in the natural world, from the unfurling of a rose bud to the pattern of a tortoise shell, the sub-atomic to the galactic. A pure expression of number and form, it is the language of creation and navigates the unseen dimensions beyond our three-dimensional reality.Since its discovery, humans have found many ways - stone circles, mandalas, labyrinths, temples-
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Shape

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The international bestseller - a whip-smart, entertaining exploration of the geometry that underlies our world, from the author of How Not to Be WrongHow should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play chess? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school ... Read more

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Exact Trigonometric Table for all Angles

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Breaking Classical Rules in Trigonometry-Mission 2050.Exact radical values of all integer angles and polygon based on newly developed method named as Precise-Rewritten method of exact values in trigonometry. ... Read more

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All the Math You Missed

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Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity explains the basic points and a few key results of all the most important undergraduate ... Read more

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Beginning graduate students in mathematical sciences and related areas in physical and computer sciences and engineering are expected to be familiar with a daunting breadth of mathematics, but few have such a background. This bestselling book helps students fill in the gaps in their knowledge. Thomas A. Garrity explains the basic points and a few key results of all the most important undergraduate
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The Golden Geometry of the Interior Design of the Great Pyramid

by Themistocles Politof ...

A golden-ratio-based geometric model unveils the Great Pyramid’s sophisticated design and accounts with astonishing accuracy for all details of its internal and external architecture. The model values match the measurements of W.F. Petrie or G. Dormion within 1 cm or 5', respectively for the lengths and angles, and in multiple cases exactly (within 1 mm or 1'). The model yields mathematical ... Read more

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A golden-ratio-based geometric model unveils the Great Pyramid’s sophisticated design and accounts with astonishing accuracy for all details of its internal and external architecture. The model values match the measurements of W.F. Petrie or G. Dormion within 1 cm or 5', respectively for the lengths and angles, and in multiple cases exactly (within 1 mm or 1'). The model yields mathematical
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Geometry Of The Octonions, The

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There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric ... Read more

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There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric
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A First Course in Computational Algebraic Geometry

by Wolfram Decker, Gerhard Pfister ...

Series series AIMS Library of Mathematical Sciences
A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the ... Read more

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Measurement

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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. ... Read more

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A Tale of Two Fractals

by A.A. Kirillov ...

Series series Mathematics and Statistics (R0)
Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. ... Read more

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Automorphisms in Birational and Affine Geometry

Levico Terme, Italy, October 2012

Edited by Ivan Cheltsov, Ciro Ciliberto, Hubert Flenner, James McKernan, Yuri G. Prokhorov, Mikhail Zaidenberg ...

Series series Springer Nature Proceedings excluding Computer Science
The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona ... Read more

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The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona
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Polynomial Automorphisms and the Jacobian Conjecture

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by Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola ...

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This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000. Many new exciting results have been obtained in the past two decades, including the solution of Nagata's Conjecture, the complete solution of Hilbert's fourteenth problem, the equivalence of the Jacobian Conjecture and the Dixmier Conjecture, the symmetric reduction of the ... Read more

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Growing up like a Beautiful Flower | baby & Toddler Size & Shape

by Baby Professor ...

Introduce the concept of growth to babies and toddlers with this size and shape book. Using flowers as an example, your kids will surely have a familiar taste on the subject. This will make the learning more conducive and effective. You are your children’s best teacher. Give them this educational material for their growth as well. ... Read more

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Introduce the concept of growth to babies and toddlers with this size and shape book. Using flowers as an example, your kids will surely have a familiar taste on the subject. This will make the learning more conducive and effective. You are your children’s best teacher. Give them this educational material for their growth as well.
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Geometry Through Stories

You Can Master Geometry

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Series Book 2 - Math Mastery
The Fun Way to Master GeometryYour journey into the world of math continues with "Geometry Through Stories," the next exciting installment in Jenny Kellett's groundbreaking educational adventure series.This is no ordinary textbook; it's a thrilling ride through the captivating world of geometry, disguised as a page-turning mystery story. Our intrepid adventurers find themselves in a world where ... Read more

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The Fun Way to Master GeometryYour journey into the world of math continues with "Geometry Through Stories," the next exciting installment in Jenny Kellett's groundbreaking educational adventure series.This is no ordinary textbook; it's a thrilling ride through the captivating world of geometry, disguised as a page-turning mystery story. Our intrepid adventurers find themselves in a world where
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A Guide to Penrose Tilings

by Francesco D'Andrea ...

Series series Mathematics and Statistics (R0)
This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s. Quasi-periodic tilings of the plane, of which Penrose tilings are the most famous example, started as recreational mathematics and soon attracted the interest of scientists for their possible application in the description of quasi ... Read more

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This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s. Quasi-periodic tilings of the plane, of which Penrose tilings are the most famous example, started as recreational mathematics and soon attracted the interest of scientists for their possible application in the description of quasi
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Convexity and Discrete Geometry Including Graph Theory

Mulhouse, France, September 2014

Edited by Karim Adiprasito, Imre Bárány, Costin Vilcu ...

Series series Springer Nature Proceedings excluding Computer Science
This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7–11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance ... Read more

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This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7–11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance
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Geometry

A Very Short Introduction

by Maciej Dunajski ...

Series series Very Short Introductions
The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof - deductive reasoning from a set of axioms - first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean ... Read more

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The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof - deductive reasoning from a set of axioms - first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean
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Affine Algebraic Geometry

Geometry of Polynomial Rings

by Masayoshi Miyanishi ...

Series Book 11 - Series on University Mathematics
Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric properties are well described by the finiteness or the vanishing of sheaf cohomologies on such varieties. For non-complete varieties like affine algebraic varieties, sheaf cohomology does not work well and research progress used to be slow, although affine spaces and polynomial ... Read more

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Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric properties are well described by the finiteness or the vanishing of sheaf cohomologies on such varieties. For non-complete varieties like affine algebraic varieties, sheaf cohomology does not work well and research progress used to be slow, although affine spaces and polynomial
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Advances in Architectural Geometry 2014

Edited by Philippe Block, Jan Knippers, Niloy J. Mitra, Wenping Wang ...

Series series Springer Nature Proceedings excluding Computer Science
This book contains 24 technical papers presented at the fourth edition of the Advances in Architectural Geometry conference, AAG 2014, held in London, England, September 2014. It offers engineers, mathematicians, designers, and contractors insight into the efficient design, analysis, and manufacture of complex shapes, which will help open up new horizons for architecture.The book examines ... Read more

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This book contains 24 technical papers presented at the fourth edition of the Advances in Architectural Geometry conference, AAG 2014, held in London, England, September 2014. It offers engineers, mathematicians, designers, and contractors insight into the efficient design, analysis, and manufacture of complex shapes, which will help open up new horizons for architecture.The book examines
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Structural Aspects Of Quantum Field Theory (In 2 Volumes)

by Gerhard Grensing ...

'The book is primarily addressed to physicists. Nevertheless, as numerous examples are known in which exploration of the land where physics and mathematics overlap (and which quantum field theory definitely belongs to) resulted in important developments in mathematics, many mathematicians may also find this book interesting and even inspiring.'MathSciNetThis book is devoted to the subject of ... Read more

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'The book is primarily addressed to physicists. Nevertheless, as numerous examples are known in which exploration of the land where physics and mathematics overlap (and which quantum field theory definitely belongs to) resulted in important developments in mathematics, many mathematicians may also find this book interesting and even inspiring.'MathSciNetThis book is devoted to the subject of
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Open Problems in the Geometry and Analysis of Banach Spaces

by Antonio J. Guirao, Vicente Montesinos, Václav Zizler ...

This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and ... Read more

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This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and
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INTRODUCCIÓN AL ANÁLISIS MATEMÁTICO (2a Edición)

by Jesús Armando Venero Baldeón, Ana María Vargas Loayza de Venero ...

Este libro está dirigido a los alumnos del primer ciclo de las carreras de ingeniería. Trata el álgebra de proposiciones lógicas, la teoría de conjuntos, el sistema de los números reales, los conjuntos acotados, las ecuaciones e inecuaciones algebraicas así como la técnica de inducción matemática y las propiedades de las sumatorias. El otro objetivo de este libro es el estudio de los vectores y ... Read more

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Este libro está dirigido a los alumnos del primer ciclo de las carreras de ingeniería. Trata el álgebra de proposiciones lógicas, la teoría de conjuntos, el sistema de los números reales, los conjuntos acotados, las ecuaciones e inecuaciones algebraicas así como la técnica de inducción matemática y las propiedades de las sumatorias. El otro objetivo de este libro es el estudio de los vectores y
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Geometry Of The Octonions, The

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INTRODUCCIÓN AL ANÁLISIS MATEMÁTICO (2a Edición)