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Geometry & Topology


Which One Doesn't Belong?: A Shapes Book

Which One Doesn't Belong?: A Shapes Book Lowest new price: $15.84
Lowest used price: $11.06
List price: $16.67
Author: Christopher Danielson

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.

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The Humongous Book of Geometry Problems

The Humongous Book of Geometry Problems Lowest new price: $11.56
Lowest used price: $2.00
List price: $21.95
Author: W. Michael Kelley
Brand: Alpha Books

An ingenious problem-solving solution for befuddled math students.

A bestselling math book author takes what appears to be a typical geometry workbook, full of solved problems, and makes notes in the margins adding missing steps and simplifying concepts so that otherwise baffling solutions are made perfectly clear. By learning how to interpret and solve problems as they are presented in courses, students become fully prepared to solve any obscure problem. No more solving by trial and error!

• Includes 1000 problems and solutions
• Annotations throughout the text clarify each problem and fill in missing steps needed to reach the solution, making this book like no other geometry workbook on the market
• The previous two books in the series on calculus and algebra sell very well

Features:

  • Alpha Books

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Sacred Geometry: Philosophy & Practice (Art and Imagination)

Sacred Geometry: Philosophy & Practice (Art and Imagination) Lowest new price: $12.62
Lowest used price: $6.90
List price: $19.95
Author: Robert Lawlor
Brand: imusti

An introduction to the geometry which, as modern science now confirms, underlies the structure of the universe.

The thinkers of ancient Egypt, Greece and India recognized that numbers governed much of what they saw in their world and hence provided an approach to its divine creator. Robert Lawlor sets out the system that determines the dimension and the form of both man-made and natural structures, from Gothic cathedrals to flowers, from music to the human body. By also involving the reader in practical experiments, he leads with ease from simple principles to a grasp of the logarithmic spiral, the Golden Proportion, the squaring of the circle and other ubiquitous ratios and proportions.

Art and Imagination: These large-format, gloriously-illustrated paperbacks cover Eastern and Western religion and philosophy, including myth and magic, alchemy and astrology. The distinguished authors bring a wealth of knowledge, visionary thinking and accessible writing to each intriguing subject. 202 illustrations and diagrams, 56 in two colors

Features:

  • Thames & Hudson

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Algebra and Trigonometry with Analytic Geometry (College Algebra and Trigonometry)

Algebra and Trigonometry with Analytic Geometry (College Algebra and Trigonometry) Lowest new price: $177.42
Lowest used price: $90.86
List price: $299.95
Author: Earl W. Swokowski
Brand: Brooks / Cole

Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this book popular among students year after year. This latest edition of Swokowski and Cole's ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY retains these features. The problems have been consistently praised for being at just the right level for precalculus students. The book also provides calculator examples, including specific keystrokes that show how to use various graphing calculators to solve problems more quickly. Perhaps most important--this book effectively prepares readers for further courses 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: $9.25
Lowest used price: $4.34
List price: $14.95
Author: Bert Mendelson
Brand: Dover Publications

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:

  • Dover Publications

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The Thirteen Books of the Elements, Vol. 1: Books 1-2

The Thirteen Books of the Elements, Vol. 1: Books 1-2 Lowest new price: $6.90
Lowest used price: $3.00
List price: $18.95
Author: Thomas L. Heath

This is the definitive edition of one of the very greatest classics of all time — the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses almost 2,500 years of mathematical and historical study upon Euclid.
This unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the Elements, plus a critical apparatus that analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical analyses of Euclid’s ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes.
“The textbook that shall really replace Euclid has not yet been written and probably never will be.” — Encyclopaedia Britannica.
Volume 1. 151-page Introduction: life and other works of Euclid; Greek and Islamic commentators; surviving mss., scholia, translations; bases of Euclid’s thought. Books I and II of the Elements, straight lines, angles, intersection of lines, triangles, parallelograms, etc.
Volume 2. Books III-IX: Circles, tangents, segments, figures described around and within circles, rations, proportions, magnitudes, polygons, prime numbers, products, plane and solid numbers, series of rations, etc.
Volume 3. Books X to XIII: planes, solid angles, etc.; method of exhaustion in similar polygons within circles, pyramids, cones, cylinders, spheres, etc. Appendix: Books XIV, XV, sometimes ascribed to Euclid.

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Geometry (Holt McDougal Larson Geometry)

Geometry (Holt McDougal Larson Geometry) Lowest new price: Too low to display
Lowest used price: $6.33
List price: $141.07
Author: Ron Larson

A good source of knowlege for geometry students. There is some wear and tear inflicted on the book, but not enough to keep it form functioning as a learning guide and source.

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The Original Area Mazes: 100 Addictive Puzzles to Solve with Simple Math―and Clever Logic!

The Original Area Mazes: 100 Addictive Puzzles to Solve with Simple Math―and Clever Logic! Lowest new price: $3.17
Lowest used price: $3.89
List price: $8.95
Author: Naoki Inaba

The rules are simple . . . The math is easy . . .The puzzles get harder and harder!

Once you match wits with area mazes, you’ll be hooked! Your quest is to navigate a network of rectangles to find a missing value.

Just Remember:
  • Area = length × width
  • Use spatial reasoning to find helpful relationships
  • Whole numbers are all you need. You can always get the answer without using fractions!

Originally invented for gifted students, area mazes (menseki meiro), have taken all of Japan by storm. Are you a sudoku fanatic? Do you play brain games to stay sharp? Did you love geometry . . . or would you like to finally show it who’s boss? Feed your brain some area mazes—they could be just what you’re craving!

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Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics)

Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics) Lowest new price: $17.62
Lowest used price: $16.41
List price: $29.95
Author: Manfredo P. do Carmo

One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems.
The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.

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Calculus with Trigonometry and Analytic Geometry

Calculus with Trigonometry and Analytic Geometry Lowest new price: Too low to display
Lowest used price: $34.49
List price: $97.65
Author: John H. Saxon

New

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