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Recommended For You

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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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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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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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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Infinite Group Theory: From The Past To The Future

by Paul Baginski, Benjamin Fine, Anthony Gaglione ...

The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest. ... Read more

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The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.
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Lectures On The Geometry Of Manifolds (Third Edition)

by Liviu I Nicolaescu ...

The goal of this book is to introduce the reader to some of the main techniques, ideas and concepts frequently used in modern geometry. It starts from scratch and it covers basic topics such as differential and integral calculus on manifolds, connections on vector bundles and their curvatures, basic Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (tube and Crofton ... Read more

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The goal of this book is to introduce the reader to some of the main techniques, ideas and concepts frequently used in modern geometry. It starts from scratch and it covers basic topics such as differential and integral calculus on manifolds, connections on vector bundles and their curvatures, basic Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (tube and Crofton
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エジプトのピラミッドへの再訪

by モスタファ・ガダッラ ...

ピラミッドの内外部、建造方法およびその目的を解き明かす。この日本語訳版は、ギザのピラミッド以前に建設された、サッカラにあるジェゼル王の階段「ピラミッド」および3つのスネフェルピラミッドと同様、ギザ台地にある古代エジプトのピラミッドに関する完全な情報を提供する。本書には、これらのピラミッドの位置と内側と外側の寸法、ピラミッドの歴史とその建設者たち、建築理論、その目的と機能に関する理論、ピラミッドの設計に組み込まれた神聖幾何学など多くの項目が含まれる。「ピラミッド・テキスト」についても言及し、ピラミッド時代のファラオに続く偉大なファラオたちの事績についても言及する。 ... Read more

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ピラミッドの内外部、建造方法およびその目的を解き明かす。この日本語訳版は、ギザのピラミッド以前に建設された、サッカラにあるジェゼル王の階段「ピラミッド」および3つのスネフェルピラミッドと同様、ギザ台地にある古代エジプトのピラミッドに関する完全な情報を提供する。本書には、これらのピラミッドの位置と内側と外側の寸法、ピラミッドの歴史とその建設者たち、建築理論、その目的と機能に関する理論、ピラミッドの設計に組み込まれた神聖幾何学など多くの項目が含まれる。「ピラミッド・テキスト」についても言及し、ピラミッド時代のファラオに続く偉大なファラオたちの事績についても言及する。
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Geometry Of Crystallographic Groups

by Andrzej Szczepanski ...

Series Book 4 - Algebra And Discrete Mathematics
Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups of a crystal (which we imagine to extend to infinity in all directions). The book is divided into two parts. In the first part, the basic theory of crystallographic groups is developed from the very ... Read more

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Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups of a crystal (which we imagine to extend to infinity in all directions). The book is divided into two parts. In the first part, the basic theory of crystallographic groups is developed from the very
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The Interesting Golden Ratio

A Simple Mathematical Approach

by Vincent Siu ...

This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclids propositions in The Elements, the golden ratio and its related geometry such as the pentagon, pentagram and Vesica Piscis are constructed and determined graphically. Then the value of the ratio is solved by quadratic equations, and depending on the initial ... Read more

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This book uses simple geometry, trigonometry and algebra to explain how to construct and calculate the golden ratio. Starting from Euclids propositions in The Elements, the golden ratio and its related geometry such as the pentagon, pentagram and Vesica Piscis are constructed and determined graphically. Then the value of the ratio is solved by quadratic equations, and depending on the initial
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Numbers

by Henry F. De Francesco ...

In preparing this monograph I had three objectives. First, I wanted to introduce the reader to some topics in mathematics that seldom receive coverage in typical high school and college math programs. The topics include axioms, sets, logic, truth tables and plausible reasoning. In the sections on logic and plausible reasoning, I wanted the reader to see how to transition from formal (mathematical) ... Read more

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In preparing this monograph I had three objectives. First, I wanted to introduce the reader to some topics in mathematics that seldom receive coverage in typical high school and college math programs. The topics include axioms, sets, logic, truth tables and plausible reasoning. In the sections on logic and plausible reasoning, I wanted the reader to see how to transition from formal (mathematical)
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Differential Geometry And Kinematics Of Continua

by John D Clayton ...

This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms, ... Read more

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This book provides definitions and mathematical derivations of fundamental relationships of tensor analysis encountered in nonlinear continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest are anholonomic aspects arising from a multiplicative decomposition of the deformation gradient into two terms,
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Invariants And Pictures: Low-dimensional Topology And Combinatorial Group Theory

by Vassily Olegovich Manturov, Denis Fedoseev, Seongjeong Kim, Igor Nikonov ...

Series Book 66 - Series On Knots And Everything
This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds. Equivalence relations arising in low-dimensional topology and combinatorial group theory inevitably lead to the study of invariants, and good invariants should be strong and apparent. An interesting case of ... Read more

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This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds. Equivalence relations arising in low-dimensional topology and combinatorial group theory inevitably lead to the study of invariants, and good invariants should be strong and apparent. An interesting case of
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Geometry For Kids (Speedy Study Guide)

by Speedy Publishing ...

Introducing important core mathematical concepts in an accessible and engaging format, geometry study guides for kids can help young students make the transition into higher maths with confidence. A good geometry study guide introduces the mathematical properties of triangles, circles, squares and other geometrical staples and teaches children how to use them, both in real world applications and ... Read more

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Introducing important core mathematical concepts in an accessible and engaging format, geometry study guides for kids can help young students make the transition into higher maths with confidence. A good geometry study guide introduces the mathematical properties of triangles, circles, squares and other geometrical staples and teaches children how to use them, both in real world applications and
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Geometric Inequalities: In Mathematical Olympiad And Competitions

by Gangsong Leng, Yongming Liu ...

Series Book 12 - Mathematical Olympiad Series
In China, lots of excellent maths students take an active interest in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they won the first place almost every year.The author is one of the coaches of China's ... Read more

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In China, lots of excellent maths students take an active interest in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they won the first place almost every year.The author is one of the coaches of China's
... Read more
Combinatorial And Toric Homotopy: Introductory Lectures

by Alastair Darby, Jelena Grbic, Zhi Lu, Jie Wu ...

Series Book 35 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology ... Read more

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This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology
... Read more
Introduction To The Theory Of Wave Maps And Related Geometric Problems, An

by Manoussos G Grillakis, Dan-andrei Geba ...

The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention of mathematicians for more than thirty years now. In the study of its various issues, such as the well-posedness theory, the formation of singularities, and the stability of the solitons, in order to obtain optimal results, one has to use intricate tools coming not only ... Read more

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The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention of mathematicians for more than thirty years now. In the study of its various issues, such as the well-posedness theory, the formation of singularities, and the stability of the solitons, in order to obtain optimal results, one has to use intricate tools coming not only
... Read more
All About Physics and Math

by gregory holmberg ...

Today, the measurably descriptive knowledge of imperial civilization is too narrow, that is, whatever instrument is invented, it will have to be based on either a measurable description of some 1-body systems, note that, the loops and nodes of an electric-circuit is a 1-body system, or a variation on an existing instrument, because that is all that the inertially-based measurably descriptive ... Read more

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Today, the measurably descriptive knowledge of imperial civilization is too narrow, that is, whatever instrument is invented, it will have to be based on either a measurable description of some 1-body systems, note that, the loops and nodes of an electric-circuit is a 1-body system, or a variation on an existing instrument, because that is all that the inertially-based measurably descriptive
... Read more
Pre-Algebra Concepts 2nd Edition, Mastering Essential Math Skills

20 minutes a day to success

by Richard W Fisher ...

Series series Mastering Essential Math Skills
Used by hundreds of thousands of students each yearAlso, check out our new title, No-Nonsense Algebra Practice Workbook.The perfect companion to the No-Nonsense Algebra text. Practice problems for each lesson in the text! A perfect combination to ensure mastery of all algebra topics.Pre-Algebra Concepts includes free online video tutorials. One for each lesson in the book. Lessons are presented in ... Read more

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Used by hundreds of thousands of students each yearAlso, check out our new title, No-Nonsense Algebra Practice Workbook.The perfect companion to the No-Nonsense Algebra text. Practice problems for each lesson in the text! A perfect combination to ensure mastery of all algebra topics.Pre-Algebra Concepts includes free online video tutorials. One for each lesson in the book. Lessons are presented in
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Multifaceted Nature Of Creativity In The Teaching Of Geometry, The

by Dorit Patkin, Atara Shriki, Ilana Levenberg ...

Geometry is one of the most ancient branches of mathematics. In order to 'understand geometry', learners should be able to infer in a deductive way as well as be endowed with enhanced visual competences. These prerequisites render plane geometry and solid geometry challenging for both teaching and learning. Hence, it is essential to consider creative ways for teaching the various branches of ... Read more

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Geometry is one of the most ancient branches of mathematics. In order to 'understand geometry', learners should be able to infer in a deductive way as well as be endowed with enhanced visual competences. These prerequisites render plane geometry and solid geometry challenging for both teaching and learning. Hence, it is essential to consider creative ways for teaching the various branches of
... Read more
Lecture Notes On Generalized Heegaard Splittings

by Martin Scharlemann, Jennifer Schultens, Toshio Saito ...

This book is part of the series of three books arise from lectures organized by Hitoshi Murakami at RIMS, Kyoto University in the summer of 2001. The lecture series was aimed at a broad audience that included many graduate students. Its purpose lay in familiarizing the audience with the basics of 3-manifold theory and introducing some topics of current research. The first portion of the lecture ... Read more

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This book is part of the series of three books arise from lectures organized by Hitoshi Murakami at RIMS, Kyoto University in the summer of 2001. The lecture series was aimed at a broad audience that included many graduate students. Its purpose lay in familiarizing the audience with the basics of 3-manifold theory and introducing some topics of current research. The first portion of the lecture
... Read more
Geometry In Our Three-dimensional World

by Alfred S Posamentier, Bernd Thaller, Christian Dorner, Guenter Maresch, Christian Spreitzer, David Stuhlpfarrer, Robert Geretschlager ...

Series Book 25 - Problem Solving In Mathematics And Beyond
The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from ... Read more

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The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from
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Mathematical Recreations & Essays

Twelfth Edition

by H.S.M. Coxeter, W. W. Rouse Ball ...

Series series Heritage
For over eighty years this delightful classic has provided entertainment through mathematical problems commonly known as recreations. Although they often involve fundamental mathematical methods and notions, their chief appeal is as games or puzzles rather than the usefulness of their conclusions.This new edition upholds the original, but the terminology and treatment of problems have been updated ... Read more

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For over eighty years this delightful classic has provided entertainment through mathematical problems commonly known as recreations. Although they often involve fundamental mathematical methods and notions, their chief appeal is as games or puzzles rather than the usefulness of their conclusions.This new edition upholds the original, but the terminology and treatment of problems have been updated
... Read more
Dynamical And Complex Systems

by Shaun Bullett, Tom Fearn, Frank Smith ...

Series Book 5 - Ltcc Advanced Mathematics Series
This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems. It is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as applied dynamical systems, Lotka-Volterra dynamical systems, applied dynamical systems theory, dynamical systems in cosmology, aperiodic order, and complex systems dynamics ... Read more

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This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems. It is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as applied dynamical systems, Lotka-Volterra dynamical systems, applied dynamical systems theory, dynamical systems in cosmology, aperiodic order, and complex systems dynamics
... Read more

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Recommended For You

Geometry eBooks

The Golden Geometry of the Interior Design of the Great Pyramid

The Maths Book

Geometry of Grief

Geometry Of The Octonions, The

Sacred Geometry

Infinite Group Theory: From The Past To The Future

Lectures On The Geometry Of Manifolds (Third Edition)

エジプトのピラミッドへの再訪

Geometry Of Crystallographic Groups

The Interesting Golden Ratio

Numbers

Differential Geometry And Kinematics Of Continua

Invariants And Pictures: Low-dimensional Topology And Combinatorial Group Theory

Geometry For Kids (Speedy Study Guide)

Geometric Inequalities: In Mathematical Olympiad And Competitions

Combinatorial And Toric Homotopy: Introductory Lectures

Introduction To The Theory Of Wave Maps And Related Geometric Problems, An

All About Physics and Math

Pre-Algebra Concepts 2nd Edition, Mastering Essential Math Skills

Multifaceted Nature Of Creativity In The Teaching Of Geometry, The

Lecture Notes On Generalized Heegaard Splittings

Geometry In Our Three-dimensional World

Mathematical Recreations & Essays

Dynamical And Complex Systems