In one of the most stunning expositions of mathematical publishing, Oliver Byrne combines Euclid's geometric theories with vibrant colour proofs, turning what was already a cornerstone academic text into a pedagogical work of art.

First published in 1847, Oliver Byrne's Elements of Euclid is an innovative educational masterpiece. Uniquely beautiful in its presentation, Byrne's edition was the first attempt to illustrate the classic books of mathematical theorems written by the ancient Greek mathematician, Euclid of Alexandria, in 300BC.

Scattered across each page in brilliant reds, blues and yellows are triangles, squares and circles combined in a myriad of combinations with intersecting lines and numbers. These intricate figures express the proofs of many of the iconic geometric equations that form the bedrock of mathematical study.

This stunning example of numerical visual study greatly influenced the history of mathematics, with Euclid's text being used in classrooms until the late nineteenth century. It has also proven to be an indispensable inspiration for following twentieth-century art movements, with avant-garde groups like De Stijl and The Bauhaus using Byrne's iconic colour, line work and form in many of their works.

A facsimile edition of this legacy work has been painstakingly restored for a new generation to enjoy. Taking special care to conserve the colours, shapes and text as they were printed on publication in the hope to recapture the magic of this beautiful volume for future readers, both inside and outside of the classroom.

A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over them

Charles Darwin was driven to distraction by plant spirals, growing so exasperated that he once begged a friend to explain the mystery if you wish to save me from a miserable death. The legendary naturalist was hardly alone in feeling tormented by these patterns. Plant spirals captured the gaze of Leonardo da Vinci and became Alan Turing's final obsession. This book tells the stories of the physicists, mathematicians, and biologists who found themselves magnetically drawn to Fibonacci spirals in plants, seeking an answer to why these beautiful and seductive patterns occur in botanical forms as diverse as pine cones, cabbages, and sunflowers.

Do Plants Know Math? takes you down through the centuries to explore how great minds have been captivated and mystified by Fibonacci patterns in nature. It presents a powerful new geometrical solution, little known outside of scientific circles, that sheds light on why regular and irregular spiral patterns occur. Along the way, the book discusses related plant geometries such as fractals and the fascinating way that leaves are folded inside of buds. Your neurons will crackle as you begin to see the connections. This book will inspire you to look at botanical patterns--and the natural world itself--with new eyes.

Featuring hundreds of gorgeous color images, Do Plants Know Math? includes a dozen creative hands-on activities and even spiral-plant recipes, encouraging readers to explore and celebrate these beguiling patterns for themselves.

Paul 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, Lockhart 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.

In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.

Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can do the math in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.

Combining scooped-out die-cuts with raised, shaped elements, two new TouchThinkLearn books offer youngest learners an irresistible opportunity to explore their universe in a hands-on, multisensory way. See the image, trace its shape, say its name: these modes of perception combine in a dynamic way to stimulate understanding of essential concepts. Contemplate a circle by touching the raised surface of an owl hooting at night on one side, and the form of a moon rising on the other. Featuring a format unlike any other, these groundbreaking books translate abstract thought into tangible knowledge.

The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy student and teacher sewn softcover edition in one volume, with minimal notes and a new index/glossary.

Is there a secret visual language all around us? What's so special about the shape of the Great Pyramid? Why is there something so sexy about circles? How many ways can you tile the plane?

Lavishly illustrated by the author, this enchanting small introduction to one of the oldest and most widely-used ancient traditions on Earth will forever change the way you look at a triangle, arch, window, fabric repeat, ceramic pattern, graphic design, painting, spiral, or flower.

Why on do cars have the same symmetry as dragonflies? Is there really a beautiful swirling pattern lurking in every dripping tap? What do insect eggs have in common with planets, and why? In this exquisite book, the smallest and most concise on the subject, designer David Wade introduces the main principles of symmetry, and shows how, despite opinions over exactly what it is, symmetry can be found in almost every corner of science, nature and human culture.

The bestselling scientific series continues to expand! Fans of Chris Ferrie's Organic Chemistry for Babies, Rocket Science for Babies, and 8 Little Planets will love this introduction to the Pythagorean Theorem for babies and toddlers!

It only takes a small spark to ignite a child's mind.

Written by an expert, with mathematical information from an expert, this is the perfect book for enlightening the next generation of geniuses.

From the #1 science author for kids comes this next installment in the bestselling Baby University series! Pythagorean Theorem for Babies gives babies (and grownups!) the answers to the common question: what is the Pythagorean Theorem and how can I prove it?

With a tongue-in-cheek approach that adults will love, this installment of the Baby University board book series is the perfect way to introduce basic concepts to even the youngest mathematician. After all, it's never too early to start loving Math!

If you're looking for the perfect math or science gift, or more Baby University books for your little one, look no further! Pythagorean Theorem for Babies offers fun early learning for your little mathematician!

How do you draw a heptagon? What about a heptakaidecagon? How do you fit circles perfectly into triangles? And around them? If the computer is down - could you do it with ruler and compass?

In this unique pocket book, Andrew Sutton guides you through the once treasured principles of ruler and compass constructions, used for centuries by architects, carpenters, stonemasons, and master craftsmen. Designed to last until the lights go out, this is a timeless book.

This accessible introduction to sacred geometry illuminates the beauty and power of nature and explains how we can draw on this mystical energy to enrich our everyday lives.

Sacred geometry is founded on the belief that everything is connected through the shapes and symmetries that we see repeated in nature all around us, from snowflakes and shells to crystals and honeycombs. These beautiful patterns are part of the mystic architecture of the universe - some even see them as the signature of a deity woven throughout creation.

This beginner's guide clearly explains what sacred geometry is and how it manifests in the natural world. Then, by learning how to harness the power of sacred shapes, you can find healing, energy, peace and oneness with the universe.

The Little Book of Sacred Geometry will help you appreciate the cosmic significance of these principles and grasp fascinating insights such as:

• How the study of sacred geometry has developed since ancient times
• What the numerous sacred shapes look like
• What key concepts, such as the golden ratio, refer to

How sacred geometrical practices can be applied in your life

This engaging review guide and workbook is the ideal tool for sharpening your Geometry skills


This review guide and workbook will help you strengthen your Geometry knowledge, and it will enable you to develop new math skills to excel in your high school classwork and on standardized tests. Clear and concise explanations will walk you step by step through each essential math concept. 500 practical review questions, in turn, provide extensive opportunities for you to practice your new skills. If you are looking for material based on national or state standards, this book is your ideal study tool


Features:


- Aligned to national standards, including the Common Core State Standards, as well as the standards of non-Common Core states and Canada
- Designed to help you excel in the classroom and on standardized tests
- Concise, clear explanations offer step-by-step instruction so you can easily grasp key concepts
- You will learn how to apply Geometry to practical situations
- 500 review questions provide extensive opportunities for you to practice what you've learned

Whether you're a student or an adult looking to refresh your knowledge, Barron's Painless Geometry provides review and practice in an easy, step-by-step format.

An essential resource for:

• Virtual Learning
• Homeschool
• Learning pods
• Supplementing classes/in-person learning

Inside you'll find:

• Comprehensive coverage of geometry, including characteristics of distinct shapes, relationships between parallel and perpendicular lines, geometric principles that can solve real-world problems, and much more
• Diagrams, charts, instructive math illustrations, proofs, and experiments
• Painless tips, common pitfalls, and math talk boxes that translate complex math speak into easy-to-understand language
• Brain Tickler quizzes and answers throughout each chapter to test your progress

The Teacher's Bundle includes the 84-page Teacher's Guide, 36-page hardcover student book, and access to digital formats.

In the valuable Teacher's Guide, Christopher Danielson gives you everything you need to start your students questioning, arguing and wondering about the shapes in the accompanying Mathical-award-winning children's picture book, Which One Doesn't Belong?

Christopher draws from both research and classroom experience to teach you how students' geometric thinking develops. In clear, approachable language, Christopher discusses the mathematical ideas likely to emerge on each page and helps you anticipate and understand students' likely answers. Through classroom stories from different grade levels, he models listening to, talking about, and delighting in students' ideas about shapes. Finally, Christopher gives you all the practical information you'll need to implement Which One Doesn't Belong? as a classroom routine, from how to launch rich discussions to how to create new sets to match your instructional goals. Reading the Teacher's Guide alongside your copy of Which One Doesn't Belong? will help you and your students discover the beauty of geometry and mathematics together.

Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean n-space and which lead to the ordinary topology. Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness. Throughout the text, Dr. Mendelson, a former Professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as The Golden Ratio, was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!

The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.

Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective geometry. 1960 edition.

In one of the most stunning expositions of mathematical publishing, Oliver Byrne combines Euclid's geometric theories with vibrant colour proofs, turning what was already a cornerstone academic text into a pedagogical work of art.



First published in 1847, Oliver Byrne's Elements of Euclid is an innovative educational masterpiece. Uniquely beautiful in its presentation, Byrne's edition was the first attempt to illustrate the classic books of mathematical theorems written by the ancient Greek mathematician, Euclid of Alexandria, in 300BC.

Scattered across each page in brilliant reds, blues and yellows are triangles, squares and circles combined in a myriad of combinations with intersecting lines and numbers. These intricate figures express the proofs of many of the iconic geometric equations that form the bedrock of mathematical study.

This stunning example of numerical visual study greatly influenced the history of mathematics, with Euclid's text being used in classrooms until the late nineteenth century. It has also proven to be an indispensable inspiration for following twentieth-century art movements, with avant-garde groups like De Stijl and The Bauhaus using Byrne's iconic colour, line work and form in many of their works.

A facsimile edition of this legacy work has been painstakingly restored for a new generation to enjoy. Taking special care to conserve the colours, shapes and text as they were printed on publication in the hope to recapture the magic of this beautiful volume for future readers, both inside and outside of the classroom.

Presents Book One of Euclid's Elements for students in humanities and for general readers. This treatment raises deep questions about the nature of human reason and its relation to the world. Dana Densmore's Questions for Discussion are intended as examples, to urge readers to think more carefully about what they are watching unfold, and to help them find their own questions in a genuine and exhilarating inquiry.