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Geometry & Topology


Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology (Wooden Books)

Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology (Wooden Books) Lowest new price: $12.95
Lowest used price: $11.17
List price: $22.00
Author: Miranda Lundy
Brand: Miranda Lundy

The quadrivium-the classical curriculum-comprises the four liberal arts of number, geometry, music, and cosmology. It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and cosmology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.


Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.

Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

Features:

  • Quadrivium

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How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library)

How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library) Lowest new price: $12.94
Lowest used price: $10.00
List price: $19.95
Author: G. Polya
Brand: Polya G

A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out―from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft―indeed, brilliant―instructions on stripping away irrelevancies and going straight to the heart of the problem.

Features:

  • How to Solve It A New Aspect of Mathematical Method Princeton Science Library

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Mastering Essential Math Skills GEOMETRY

Mastering Essential Math Skills GEOMETRY Lowest new price: $12.56
Lowest used price: $15.56
List price: $21.95
Author: Richard W. Fisher
Brand: Richard W Fisher

Used by hundreds of thousands of students each year

Perfect Math For Students Who Are Math Challenged
Lessons are presented in a format that everyone can understand.
Each Lesson flows smoothly and logically to the next
Each lesson is short, concise, and to the point

Lots of examples with step-by -step solutions

Each lesson includes valuable Helpful Hints
Review is built into each lesson. Students will retain what they have learned
Each lesson includes Problem Solving. This ensures that students will learn to apply their math skills to real-life situations.

Topics
  • Points, Lines, and Planes
  • Parallel & Intersecting Lines
  • Types of Angles
  • Measuring & Constructing Angles
  • Polygons
  • Classification of Triangles
  • Perimeter of Polygons
  • Problem Solving Involving Perimeter of Polygons
  • Circles
  • Circumference of Circles
  • Problem Solving Involving Circumference of Circles
  • The Pythagorean Theorem
  • Area of Polygons
  • Area of Circles
  • Problem Solving Involving Area
  • Solid Figures
  • Surface Area
  • Volume
  • Final Review and Tests
  • Solutions
  • Glossary

Features:

  • Mastering Essential Math Skills Geometry

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TouchThinkLearn: Shapes

TouchThinkLearn: Shapes Lowest new price: $8.36
Lowest used price: $2.35
List price: $14.99
Author: Xavier Deneux
Brand: Deneux Xavier

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.

Features:

  • Touchthinklearn Shapes

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Geometry

Geometry Lowest new price: Too low to display
Lowest used price: $20.44
List price: $100.50
Author: Ray C. Jurgensen
Brand: Houghton Mifflin McDougal Littell
Model: 395977274

An excelent book for learning geometry.

Features:

  • Geometry

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Tutor in a Book's Geometry

Tutor in a Book's Geometry Lowest new price: $25.80
Lowest used price: $15.46
List price: $29.99
Author: Jo Greig
Brand: Brand: Tutor in a Book

Need help with Geometry? Designed to replicate the services of a skilled private tutor, the new and improved Tutor in a Book's Geometry is at your service! TIB's Geometry is an extremely thorough, teen tested and effective geometry tutorial.

TIB’s Geometry includes more than 500 of the right, well-illustrated, carefully worked out and explained proofs and problems. Throughout TIB’s Geometry, there is ongoing, specific guidance as to the most effective solution and test taking strategies. Recurring patterns, which provide solutions to proofs, are pointed out, explained and illustrated using the visual aids that students find so helpful. Also included are dozens of graphic organizers, which help students understand, remember and recognize the connections between concepts.

TIB’s author Jo Greig intended this book to level the playing field between the students who have tutors and those that don't. As a long time, very successful private mathematics tutor and teacher, Jo Greig knew exactly how best to accomplish this! TIB’s Geometry 294 pages are packed with every explanation, drawing, hint and memory tool possible! Not only does it have examples of the right proofs and problems, it also manages to impart every bit of the enthusiasm that great tutors impart to their private tutoring students. Ms. Greig holds a bachelors' degree in mathematics. Dr. J. Shiletto, the book's mathematics editor, holds a Ph.D in mathematics.

Features:

  • Used Book in Good Condition

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Introduction to Topology: Third Edition (Dover Books on Mathematics)

Introduction to Topology: Third Edition (Dover Books on Mathematics) Lowest new price: $7.00
Lowest used price: $1.99
List price: $14.95
Author: Bert Mendelson
Brand: Bert Mendelson

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.

Features:

  • Introduction to Topology

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Painless Geometry (Painless Series)

Painless Geometry (Painless Series) Lowest new price: $2.25
Lowest used price: $1.41
List price: $9.99
Author: Lynette Long
Brand: Long, Lynette, Ph.D.

The author demonstrates how solving geometric problems amounts to fitting parts together to solve interesting puzzles. Students discover relationships that exist between parallel and perpendicular lines; analyze the characteristics of distinct shapes such as circles, quadrilaterals, and triangles; and learn how geometric principles can solve real-world problems. Titles in Barron's Painless Series are written especially for middle school and high school students who are having a difficult time with a specific subject. In many cases, a student is confused by the subject's complexity and details. Still other students simply finds a subject uninteresting, an attitude that usually results in lower grades. Painless titles offer informal, student-friendly approaches to each subject, emphasizing interesting details, supplementing the text with amusing insights, and outlining potential pitfalls clearly and step by step. Students begin to understand how disparate details all fit together to form a clear picture. Timelines, ideas for interesting projects, and "Brain Tickler" quizzes in many of these titles help to take the pain out of study and improve each student's grades.

Features:

  • Painless Geometry
  • Lynette Long, PhD.
  • Paperback
  • Barron's

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Tangrams: 330 Puzzles (Dover Recreational Math)

Tangrams: 330 Puzzles (Dover Recreational Math) Lowest new price: $6.89
Lowest used price: $2.00
List price: $8.95
Author: Ronald C. Read
Brand: Ronald C Read

What is a tangram? It is more easily seen and understood than defined in words. But to put it briefly, it is a geometric dissection puzzle in which seven standard pieces (five triangles, one square, one rhomboid) are used to make images of various objects. The origin of the name is not known, but the game itself is of Chinese origin, and for centuries it has been one of the most popular diversions in the Orient.
The tangram is not entirely new to America, since Yankee sea captains brought books of tangram puzzles back from Canton and Shanghai. Edgar Allan Poe was a devotee, while on the other side of the world Napoleon is said to have whiled away his time with them. Around the turn of the twentieth century, the two great modern puzzlers, H. E. Dudeney and Sam Loyd, greatly enlarged the traditional field of tangram situations.
This collection gathers together nearly 330 tangrams, the best creations of both Chinese and Occidental puzzle devisers. Included are some of the most striking Oriental puzzles, carefully selected from rare nineteenth-century books and some of the most inventive and imaginative inventions of Loyd and Dudeney. Although individual tangrams have always been favorite members of most collections of mathematical amusements, to our knowledge this is the first book devoted entirely to this popular form in many decades.
Some of the tangrams in this collection are relatively easy and can be solved without too much brain-straining. Others are difficult, and many demand quite a bit of mental sweat before they are resolved. All, however, are delightful concoctions in recreational form-perception and will provide many hours of pleasure.

Features:

  • Tangrams 330 Puzzles

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Which One Doesn't Belong?: A Shapes Book

Which One Doesn't Belong?: A Shapes Book Lowest new price: $15.84
Lowest used price: $17.99
List price: $16.67
Author: Christopher Danielson
Brand: Danielson Christopher

Which One Doesn’t Belong? has won the Mathical Book Prize, which will be presented to Christopher Danielson at the National Math Festival in Washington, DC on April 22, 2017. The Mathical Book Prize is an annual award for fiction and nonfiction books that inspire children of all ages to see math in the world around them.

Every colorful page of Christopher Danielson’s children’s picture book, Which One Doesn’t Belong?, contains a thoughtfully designed set of four shapes. Each of the shapes can be a correct answer to the question “Which one doesn’t belong?” Because all their answers are right answers, students naturally shift their focus to justifications and arguments based on the shapes’ geometric properties.
 
In the companion teacher’s guide,(978-1-62531-081-1)  Danielson shows how to facilitate rich discussions and teach mathematical argumentation using Which One Doesn’t Belong? He models how to listen closely and respectfully to students’ ideas about shapes. Danielson synthesizes research about how children learn geometry, discusses the role of geometry in the mathematics curriculum, and gives plenty of practical advice about different ways to implement Which One Doesn’t Belong? in classrooms. He also discusses the mathematical ideas likely to emerge on each page and—drawing from his direct experience using Which One Doesn’t Belong? at several different grade levels—helps teachers anticipate and think about students’ likely answers.
 
Most curricula treat geometry as little more than vocabulary lessons. Which One Doesn’t Belong? and its accompanying guide are powerful, flexible resources teachers can use to provoke lively discussions and deep learning about shapes with students of all ages.

Features:

  • Which One Doesn t Belong A Shapes Book

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