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Geometry & Topology


Common Core Math Workouts, Grade 7

Common Core Math Workouts, Grade 7 Lowest new price: $2.99
Lowest used price: $2.62
List price: $9.99
Author: Karice Mace
Brand: Mark Twain
Model: 404221

Each page in Common Core Math Workouts for grade 7 contains two “workouts”; one for skills practice and one for applying those skills to solve a problem. These workouts make great warm-up or assessment exercises. They can be used to set the stage and teach the content covered by the standards. They can also be used to assess what students have learned after the content has been taught. Content is aligned with the Common Core State Standards for Mathematics and includes Geometry, Ratio and Proportional Relationships. The Number System, Expressions and Equations, and Statistics and Probability. The workbooks in the Common Core Math Workouts series are designed to help teachers and parents meet the challenges set forth by the Common Core State Standards. They are filled with skills practice and problem-solving practice exercises that correspond to each standard. With a little time each day, your students will become better problem solvers and will acquire the skills they need to meet the mathematical expectations for their grade level.

Features:

  • Book, Math Book, Math Review
  • Math Practice - Review

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Algebraic Topology

Algebraic Topology Lowest new price: $32.99
Lowest used price: $24.51
List price: $44.99
Author: Allen Hatcher
Brand: imusti

In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

Features:

  • Cambridge University Press

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Geometric Algebra with Applications in Engineering (Geometry and Computing)

Geometric Algebra with Applications in Engineering (Geometry and Computing) Lowest new price: $61.99
Lowest used price: $96.90
List price: $89.95
Author: Christian Perwass

The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms.

This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation.

Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials.

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High School Geometry Unlocked: Your Key to Mastering Geometry (High School Subject Review)

High School Geometry Unlocked: Your Key to Mastering Geometry (High School Subject Review) Lowest new price: $10.11
Lowest used price: $5.88
List price: $14.99
Author: Princeton Review
Brand: Princeton Review

UNLOCK THE SECRETS OF GEOMETRY with THE PRINCETON REVIEW.

Geometry can be a daunting subject. That’s why our new High School Unlocked series focuses on giving you a wide range of key techniques to help you tackle subjects like Geometry. If one method doesn't "click" for you, you can use an alternative approach to understand the concept or problem, instead of painfully trying the same thing over and over without success. Trust us—unlocking geometric secrets doesn't have to hurt!

With this book, you’ll discover the link between abstract concepts and their real-world applications and build confidence as your skills improve. Along the way, you’ll get plenty of practice, from fully guided examples to independent end-of-chapter drills and test-like samples.

Everything You Need to Know About Geometry.
• Complex concepts explained in clear, straightforward ways
• Walk-throughs of sample problems for all topics
• Clear goals and self-assessments to help you pinpoint areas for further review
• Step-by-step examples of different ways to approach problems

Practice Your Way to Excellence.

• Drills and practice questions in every chapter
• Complete answer explanations to boost understanding
• ACT- and SAT-like questions for hands-on experience with how Geometry may appear on major exams

High School Geometry Unlocked covers:
• translation, reflection, and rotation
• congruence and theorems
• the relationship between 2-D and 3-D figures
• trigonometry
• circles, angles, and arcs
• probability
• the algebra-geometry connection
... and more!

Features:

  • Princeton Review

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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: $40.49
List price: $97.65
Author: John H. Saxon

Rare book

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Anthology of Post-Tonal Music

Anthology of Post-Tonal Music Lowest new price: $115.23
Lowest used price: $85.99
Author: Miguel Roig-Francoli Tonal Harmony

This collection of 41 selections and excerpts represents a wide range of music from the 20th Century. Designed for use with Understanding Post-Tonal Music by Miguel Roig-Francoli, it can also stand alone as an anthology for study and analysis in other music theory courses.

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Which One Doesn't Belong?: A Shapes Book, Teacher's Guide with Student Book

Which One Doesn't Belong?: A Shapes Book, Teacher's Guide with Student Book Lowest new price: $33.33
Lowest used price: $27.67
List price: $33.33
Author: Christopher Danielson

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

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, 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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Collected Papers of John Milnor

Collected Papers of John Milnor Lowest new price: $94.55
Lowest used price: $68.00
List price: $83.00
Author: John W. Milnor

The development of algebraic topology in the 1950's and 1960's was deeply influenced by the work of Milnor. In this collection of papers the reader finds those original papers and some previously unpublished works. The book is divided into four parts: Homotopy Theory, Homology and Cohomology, Manifolds, and Expository Papers. Introductions to each part provide some historical context and subsequent development. Of particular interest are the articles on classifying spaces, the Steenrod algebra, the introductory notes on foliations and the surveys of work on the Poincare conjecture. Together with the previously published volumes I-III of the Collected Works by John Milnor, volume IV provides a rich portion of the most important developments in geometry and topology from those decades. This volume is highly recommended to a broad mathematical audience, and, in particular, to young mathematicians who will certainly benefit from their acquaintance with Milnor's mode of thinking and writing.

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Pipe Fitter's Math Guide

Pipe Fitter's Math Guide Lowest new price: $19.28
Lowest used price: $13.42
List price: $30.95
Author: Johnny E. Hamilton
Brand: Hamilton, Johnny E.

For those who work with cylinders, a geometric understanding of the shapes involved and how they fit together are crucial for excellence in their trade. This book allows pipe fitters to connect their work to its logical base—math. The straightforward tone, multitude of illustrations, and example problems will help even those with underdeveloped math skills learn the calculations. Forty-one sets of exercises with answers give the reader ample practice as well as applying the math skills.

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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: $1.99
Lowest used price: $1.58
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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