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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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All the Math You Missed

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by Thomas A. Garrity ...

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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Geometry Of The Octonions, The

by Tevian Dray, Corinne A Manogue ...

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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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
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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

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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.
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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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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.
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The Maths Book

Big Ideas Simply Explained

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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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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Shape

The Hidden Geometry of Absolutely Everything

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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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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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Sacred Geometry

How to use cosmic patterns to power up your life

by Jemma Foster ...

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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Discrete Geometry and Optimization

Edited by Károly Bezdek, Yinyu Ye, Antoine Deza ...

Series Book 69 - Fields Institute Communications
Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in ... Read more

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Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in
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Helix Structures in Quantum Cohomology of Fano Varieties

by Giordano Cotti, Boris A. Dubrovin, Davide Guzzetti ...

Series series Mathematics and Statistics (R0)
This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM). This conjecture asserts the equivalence, for a Fano variety, between the semisimplicity condition of its quantum cohomology and the existence of full exceptional collections in its derived category of coherent sheaves. ... Read more

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This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM). This conjecture asserts the equivalence, for a Fano variety, between the semisimplicity condition of its quantum cohomology and the existence of full exceptional collections in its derived category of coherent sheaves.
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In The Search For Beauty: Unravelling Non-euclidean Geometry

by Voldemar Smilga ...

This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about ... Read more

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This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about
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An Invitation to Alexandrov Geometry

CAT(0) Spaces

by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin ...

Series series Mathematics and Statistics (R0)
Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards ... Read more

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Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards
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Mathematical Theory of Optics

by R. K. Luneburg ...

Mathematical Theory of Optics by Dr. Rudolf K. Luneburg stands as a monumental work in the field of optical theory, offering a rigorous and innovative approach to understanding instrumental optics through the lens of Maxwell's electromagnetic equations. First presented as a lecture series at Brown University in 1944, and later refined into these notes, Luneburg's work connects geometrical optics ... Read more

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Mathematical Theory of Optics by Dr. Rudolf K. Luneburg stands as a monumental work in the field of optical theory, offering a rigorous and innovative approach to understanding instrumental optics through the lens of Maxwell's electromagnetic equations. First presented as a lecture series at Brown University in 1944, and later refined into these notes, Luneburg's work connects geometrical optics
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Bridging Mathematics, Statistics, Engineering and Technology

Contributions from the Fall 2011 Seminar on Mathematical Sciences and Applications

Edited by Bourama Toni, Keith Williamson, Nasser Ghariban, Dawit Haile, Zhifu Xie ...

Series series Springer Nature Proceedings excluding Computer Science
This volume contains the invited contributions from talks delivered in the Fall 2011 series of the Seminar on Mathematical Sciences and Applications 2011 at Virginia State University. Contributors to this volume, who are leading researchers in their fields, present their work in a way to generate genuine interdisciplinary interaction. Thus all articles therein are selective, self-contained, and ... Read more

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This volume contains the invited contributions from talks delivered in the Fall 2011 series of the Seminar on Mathematical Sciences and Applications 2011 at Virginia State University. Contributors to this volume, who are leading researchers in their fields, present their work in a way to generate genuine interdisciplinary interaction. Thus all articles therein are selective, self-contained, and
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Algebra Lineare e Geometria Quiz risolti d'esame

by Luciano Gualandri ...

Questa raccolta di esercizi e quiz vuole aiutare gli studenti a riguardare, fissare e fare propri i contenuti della teoria di Algebra Lineare e Geometria, nei corsi delle Lauree di primo livello di tipo ingegneristico e scientifico. ... Read more

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Questa raccolta di esercizi e quiz vuole aiutare gli studenti a riguardare, fissare e fare propri i contenuti della teoria di Algebra Lineare e Geometria, nei corsi delle Lauree di primo livello di tipo ingegneristico e scientifico.
... Read more
Geometry by Construction:

Object Creation and Problem-Solving in Euclidean and Non-Euclidean Geometries

by Michael McDaniel ...

College geometry students, professors interested in undergraduate research and secondary geometry teachers will find three rich environments in this textbook. The first chapter contains many of the standards of Euclidean college geometry. The second and third chapters introduce non-Euclidean models where some Euclidean rules hold and others do not. With emphases on constructions and proofs, the ... Read more

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College geometry students, professors interested in undergraduate research and secondary geometry teachers will find three rich environments in this textbook. The first chapter contains many of the standards of Euclidean college geometry. The second and third chapters introduce non-Euclidean models where some Euclidean rules hold and others do not. With emphases on constructions and proofs, the
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Analytic, Algebraic and Geometric Aspects of Differential Equations

Będlewo, Poland, September 2015

Edited by Galina Filipuk, Yoshishige Haraoka, Sławomir Michalik ...

Series series Springer Nature Proceedings excluding Computer Science
This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also ... Read more

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This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also
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Directions in Number Theory

Proceedings of the 2014 WIN3 Workshop

Edited by Ellen E. Eischen, Ling Long, Rachel Pries, Katherine E. Stange ...

Series series Springer Nature Proceedings excluding Computer Science
Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a ... Read more

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Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a
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The Hidden Geometry of Life: Alchemy of Creation Blending Sacred Geometry, Light, Sound, Elements and Intent

The Gateway Series, #2

by Karen L French ...

Series Book 2 - The Gateway Series
2nd edition of the this best selling classic text by Karen L FrenchDelve into the creative process, into the heart of existence and its composition of geometry, energy of light, vibrant colours, and the Classical Elements of water, fire, earth and air. Wonder at how nature exploits all these things in her myriad of creations. Discover how sound carries the geometric code in its waves of vibration ... Read more

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2nd edition of the this best selling classic text by Karen L FrenchDelve into the creative process, into the heart of existence and its composition of geometry, energy of light, vibrant colours, and the Classical Elements of water, fire, earth and air. Wonder at how nature exploits all these things in her myriad of creations. Discover how sound carries the geometric code in its waves of vibration
... Read more
Lectures on Nonsmooth Differential Geometry

by Nicola Gigli, Enrico Pasqualetto ...

Series series Mathematics and Statistics (R0)
This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces – known as RCD spaces – satisfying a synthetic lower Ricci curvature bound. Examples of the main topics ... Read more

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This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces – known as RCD spaces – satisfying a synthetic lower Ricci curvature bound. Examples of the main topics
... Read more

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Recommended For You

Geometry eBooks

The (Mis)Behaviour of Markets

All the Math You Missed

Geometry Of The Octonions, The

A First Course in Computational Algebraic Geometry

Measurement

A Tale of Two Fractals

The Maths Book

Geometry of Grief

Shape

Exact Trigonometric Table for all Angles

The Golden Geometry of the Interior Design of the Great Pyramid

Sacred Geometry

Discrete Geometry and Optimization

Helix Structures in Quantum Cohomology of Fano Varieties

In The Search For Beauty: Unravelling Non-euclidean Geometry

An Invitation to Alexandrov Geometry

Mathematical Theory of Optics

Bridging Mathematics, Statistics, Engineering and Technology

Algebra Lineare e Geometria Quiz risolti d'esame

Geometry by Construction:

Analytic, Algebraic and Geometric Aspects of Differential Equations

Directions in Number Theory

The Hidden Geometry of Life: Alchemy of Creation Blending Sacred Geometry, Light, Sound, Elements and Intent

Lectures on Nonsmooth Differential Geometry