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The Gravity of Math

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**"A must-read.”―Avi Loeb, New York Times–bestselling author of ExtraterrestrialOne of the preeminent mathematicians of the past half century shows how physics and math were combined to give us the theory of gravity and the dizzying array of ideas and insights that has come from it**Mathematics is far more than just the language of science. It is a critical underpinning of nature. The famed ... Read more

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**"A must-read.”―Avi Loeb, New York Times–bestselling author of ExtraterrestrialOne of the preeminent mathematicians of the past half century shows how physics and math were combined to give us the theory of gravity and the dizzying array of ideas and insights that has come from it**Mathematics is far more than just the language of science. It is a critical underpinning of nature. The famed
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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.
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Trigonometry

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by Glen Van Brummelen ...

Series series Very Short Introductions
Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures. Most of what we see of the subject in school comes from these heavenly origins; 15th century astronomer Regiomontanus called it "the foot of the ladder to the stars". In this Very Short Introduction Glen Van Brummelen shows how trigonometry ... Read more

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Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures. Most of what we see of the subject in school comes from these heavenly origins; 15th century astronomer Regiomontanus called it "the foot of the ladder to the stars". In this Very Short Introduction Glen Van Brummelen shows how trigonometry
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Introduction To Algebraic Coding Theory

by Tzuong-tsieng Moh ...

Series Book 3 - Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes
In this age of technology where messages are transmitted in sequences of 0's and 1's through space, errors can occur due to noisy channels. Thus, self-correcting code is vital to eradicate these errors when the number of errors is small. It is widely used in industry for a variety of applications including e-mail, telephone, and remote sensing (for example, photographs of Mars).An expert in ... Read more

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In this age of technology where messages are transmitted in sequences of 0's and 1's through space, errors can occur due to noisy channels. Thus, self-correcting code is vital to eradicate these errors when the number of errors is small. It is widely used in industry for a variety of applications including e-mail, telephone, and remote sensing (for example, photographs of Mars).An expert in
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Simply Riemann

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Series Book 17 - Great Lives
“Jeremy Gray is one of the world’s leading historians of mathematics, and an accomplished author of popular science. In Simply Riemann he combines both talents to give us clear and accessible insights into the astonishing discoveries of Bernhard Riemann—a brilliant but enigmatic mathematician who laid the foundations for several major areas of today’s mathematics, and for Albert Einstein’s General ... Read more

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“Jeremy Gray is one of the world’s leading historians of mathematics, and an accomplished author of popular science. In Simply Riemann he combines both talents to give us clear and accessible insights into the astonishing discoveries of Bernhard Riemann—a brilliant but enigmatic mathematician who laid the foundations for several major areas of today’s mathematics, and for Albert Einstein’s General
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Differential Forms

by Victor Guillemin, Peter Haine ...

'Guillemin and Haineâ€™s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, the authors emphasize connections between differential forms and topology while making connections to single and multivariable calculus via the change of variables formula, vector space duals, physics; ... Read more

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'Guillemin and Haineâ€™s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, the authors emphasize connections between differential forms and topology while making connections to single and multivariable calculus via the change of variables formula, vector space duals, physics;
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Simply Maths

by DK ...

Series series DK Simply
Understanding maths has never been easier.Combining bold, elegant graphics with easy-to-understand text, Simply Maths is the perfect introduction to the subject for those who are short of time but hungry for knowledge.Covering more than 90 key mathematical concepts from prime numbers and fractions to quadratic equations and probability experiments, each pared-back, single-page entry explains the ... Read more

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Understanding maths has never been easier.Combining bold, elegant graphics with easy-to-understand text, Simply Maths is the perfect introduction to the subject for those who are short of time but hungry for knowledge.Covering more than 90 key mathematical concepts from prime numbers and fractions to quadratic equations and probability experiments, each pared-back, single-page entry explains the
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String, Straightedge and Shadow: The Story of Geometry

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In this beautifully illustrated classic reader, Julia E. Diggins masterfully recreates the story of geometry. Using three simple tools — the string, the straightedge, and the shadow — early mathematicians discovered the basic principles and constructions of elementary geometry.This book reveals how these discoveries related to the ancient civilizations of Mesopotamia, Egypt, and Greece. Diggins ... Read more

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In this beautifully illustrated classic reader, Julia E. Diggins masterfully recreates the story of geometry. Using three simple tools — the string, the straightedge, and the shadow — early mathematicians discovered the basic principles and constructions of elementary geometry.This book reveals how these discoveries related to the ancient civilizations of Mesopotamia, Egypt, and Greece. Diggins
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Time Travel To Ancient Math & Physics

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Time Travel is the companion book to Mindkind: Math & Physics for the New Millennium. There we are provided with a new math and physics to carry us forward into the future. In Time Travel, we go back in time to take an insightful look at ancient civilizations and the science and mathematics they used.The reader is transported all the way back to the creation of the universe and then bounced ... Read more

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Time Travel is the companion book to Mindkind: Math & Physics for the New Millennium. There we are provided with a new math and physics to carry us forward into the future. In Time Travel, we go back in time to take an insightful look at ancient civilizations and the science and mathematics they used.The reader is transported all the way back to the creation of the universe and then bounced
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Euclid's Window

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Through Euclid's Window, Leonard Mlondinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. This new, refreshing, alternative history of maths reveals how simple questions anyone might ask about space in the living room or in some other galaxy have been the hidden engine of science ... Read more

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Through Euclid's Window, Leonard Mlondinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. This new, refreshing, alternative history of maths reveals how simple questions anyone might ask about space in the living room or in some other galaxy have been the hidden engine of science
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Computations with Modular Forms

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Edited by Gebhard Böckle, Gabor Wiese ...

Series series Springer Nature Proceedings excluding Computer Science
This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment.The 14 papers offer readers both, instructional courses on the latest algorithms for ... Read more

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This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment.The 14 papers offer readers both, instructional courses on the latest algorithms for
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Number Theory: Arithmetic In Shangri-la - Proceedings Of The 6th China-japan Seminar

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Series Book 8 - Series On Number Theory And Its Applications
This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory — additive problems, divisor problems, Diophantine equations — to elliptic ... Read more

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This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory — additive problems, divisor problems, Diophantine equations — to elliptic
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Series series Mathematics and Statistics (R0)
Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas ... Read more

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Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas
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Recent Progress on the Donaldson–Thomas Theory

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Series Book 43 - SpringerBriefs in Mathematical Physics
This book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi–Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov–Witten/Donaldson–Thomas conjecture on curve-counting theories, ... Read more

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This book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi–Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov–Witten/Donaldson–Thomas conjecture on curve-counting theories,
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Lectures on Matrix Field Theory

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Series series Physics and Astronomy (R0)
These lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.The book initially focuses on the matrix formulation of non-commutative and fuzzy spaces, followed by a description of the non-perturbative treatment of the corresponding field theories. As an example, the phase structure of non-commutative phi-four theory is ... Read more

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These lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.The book initially focuses on the matrix formulation of non-commutative and fuzzy spaces, followed by a description of the non-perturbative treatment of the corresponding field theories. As an example, the phase structure of non-commutative phi-four theory is
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Current Developments in Hodge Theory

Proceedings of Hodge Theory at IMSA

Edited by Phillip Griffiths, Ludmil Katzarkov, Carlos Simpson ...

Series series Springer Nature Proceedings excluding Computer Science
This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors’ participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami.One of the main themes is the study of moduli spaces and their compactifications. Several articles speak of the singularities occuring ... Read more

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This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors’ participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami.One of the main themes is the study of moduli spaces and their compactifications. Several articles speak of the singularities occuring
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Una rappresentazione geometrico-matematica del passato, del presente e del futuro escatologico della storia mondiale

by Federico Tambara ...

Un fascino non soltanto di carattere scientifico ma anche "esoterico" permea questo libro che investiga in vari campi della conoscenza raggiunta fino ad oggi. I lettori sufficientemente seri e motivati potranno fare scoperte interessanti e spesso sorprendenti quasi ad ogni pagina del presente Studio di Ricerca. In ultimo, nella CONCLUSIONE dell'opera, un ipotetico intervistatore (ben preparato ... Read more

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Minimal Free Resolutions over Complete Intersections

by David Eisenbud, Irena Peeva ...

Series series Mathematics and Statistics (R0)
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957.The theory extends the theory of matrix factorizations of a non ... Read more

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This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957.The theory extends the theory of matrix factorizations of a non
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Recent Trends in Combinatorics

Edited by Andrew Beveridge, Jerrold R. Griggs, Leslie Hogben, Gregg Musiker, Prasad Tetali ...

Series series Mathematics and Statistics (R0)
This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part ... Read more

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This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part
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Projective Geometry

Solved Problems and Theory Review

by Elisabetta Fortuna, Roberto Frigerio, Rita Pardini ...

Series series Mathematics and Statistics (R0)
This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward and modern language. The goal is not only to establish the notation and terminology used, but also to offer the reader a quick survey of the subject matter. In the second part, the book presents more than 200 solved problems, for many of which several alternative solutions are ... Read more

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This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward and modern language. The goal is not only to establish the notation and terminology used, but also to offer the reader a quick survey of the subject matter. In the second part, the book presents more than 200 solved problems, for many of which several alternative solutions are
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Lectures on Sphere Arrangements – the Discrete Geometric Side

by Károly Bezdek ...

Series Book 32 - Fields Institute Monographs
This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems ideal for graduate students and researchers in ... Read more

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This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate and early graduate students, as well as interested researchers. It contains more than 40 open research problems ideal for graduate students and researchers in
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Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond

by George Stacey Staples ...

Clifford algebras have many well-known applications in physics, engineering, and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph-theoretic applications such as enumerating minimal cost paths in dynamic networks. This book provides a foundational working knowledge of zeon algebras, their properties, and their potential ... Read more

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Clifford algebras have many well-known applications in physics, engineering, and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph-theoretic applications such as enumerating minimal cost paths in dynamic networks. This book provides a foundational working knowledge of zeon algebras, their properties, and their potential
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Manifolds And Local Structures: A General Theory

by Marco Grandis ...

Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable 'elementary spaces', by means of partial homeomorphisms that fix the gluing conditions and form a sort of 'intrinsic atlas', instead of the more usual system of charts living in an external framework.An 'intrinsic manifold' is defined here as such ... Read more

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Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable 'elementary spaces', by means of partial homeomorphisms that fix the gluing conditions and form a sort of 'intrinsic atlas', instead of the more usual system of charts living in an external framework.An 'intrinsic manifold' is defined here as such
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Geometry eBooks

The Gravity of Math

Exact Trigonometric Table for all Angles

Trigonometry

Introduction To Algebraic Coding Theory

Simply Riemann

Differential Forms

Simply Maths

String, Straightedge and Shadow: The Story of Geometry

Time Travel To Ancient Math & Physics

Euclid's Window

Computations with Modular Forms

Number Theory: Arithmetic In Shangri-la - Proceedings Of The 6th China-japan Seminar

Geometry of Continued Fractions

Algebra Lineare e Geometria. Esercizi e temi d'esame con svolgimento

Recent Progress on the Donaldson–Thomas Theory

Lectures on Matrix Field Theory

Current Developments in Hodge Theory

Una rappresentazione geometrico-matematica del passato, del presente e del futuro escatologico della storia mondiale

Minimal Free Resolutions over Complete Intersections

Recent Trends in Combinatorics

Projective Geometry

Lectures on Sphere Arrangements – the Discrete Geometric Side

Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond

Manifolds And Local Structures: A General Theory