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Geometry & Topology

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Geometry the Easy Way

Sales rank: 2316

These books are ideal student self-help supplements. They offer valuable overviews of course work and extra help with difficult subject areas. Covers the "how" and "why" of geometry. Includes hundreds of examples and exercises with solutions. Includes more than 700 drawings, graphs,and tables.
Geometry

Sales rank: 5243
Geometry for Enjoyment & Challenge

Sales rank: 10818
Geometry Workbook For Dummies (For Dummies (Math & Science))

Sales rank: 6938

Geometry is one of the oldest mathematical subjects in history. Unfortunately, few geometry study guides offer clear explanations, causing many people to get tripped up or lost when trying to solve a proof—even when they know the terms and concepts like the back of their hand. However, this problem can be fixed with practice and some strategies for slicing through all the mumbo-jumbo and getting right to the heart of the proof.

Geometry Workbook For Dummies ensures that practice makes perfect, especially when problems are presented without the stiff, formal style that you’d find in your math textbook. Written with a commonsense, street-smart approach, this guide gives you the step-by-step process to solve each proof, along with tips, shortcuts, and mnemonic devices to make sure the solutions stick. It also gives you plenty of room to work out your solutions, providing you with space to breathe and a clear head. This book provides you with the tools you need to solve all types of geometry problems, including:

  • Congruent triangles
  • Finding the area, angle, and size of quadrilaterals
  • Angle-arc theorems and formulas
  • Touching radii and tangents
  • Connecting radii and chords
  • Parallel, perpendicular, and intersecting lines and planes
  • Slope, distance, and midpoint formulas
  • Line and circle equations
  • Handling rotations, reflections, and other transformations

Packed with tons of strategies for solving proofs and a review of key concepts, Geometry Workbook For Dummies is the ultimate study aid for students, parents, and anyone with an interest in the field.
The Golden Ratio: The Story of PHI, the World's Most Astonishing Number

Release Date: 2003-09-23

Sales rank: 9329

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.


From the Hardcover edition.
Geometry for Dummies

Sales rank: 15652

You know that geometry is a math thing, right? You remember that much from school. You also probably remember that it has something to do with circles, squares, diameters, angles, and all those other terms that floated in (and probably right out of ) your head as you were cramming for all those geometry tests way back when. But your math teacher probably never told you that you'd actually use that stuff in real life – if he had, maybe you would have paid more attention!

Well, don't fret. You're in the same boat as almost everyone else. Geometry has about a million (a rough estimate) uses in real life – for example, you may have some home improvement projects you want to tackle; you have to know how to cut the wood at certain angles to make them fit together. ( Bet you didn't realize that carpenters have to be experts at geometry as well!) With a basic knowledge of geometry, building some bookshelves for your kid's room becomes so much easier.

Geometry For Dummies can give you that basic understanding of geometry, and you might actually have a little fun along the way. Written in a breezy, easy-to-understand, non-textbook-like style, this book helps you with all your geometrical dilemmas.

In Geometry For Dummies, you'll find out about the following topics and more:

  • Understanding lines and angles
  • Working up a geometry proof
  • All those funny shapes: circles, rectangles, triangles, and the ever versatile polygon
  • Having your Pi and eating it, too
  • Taking the next step into trigonometry
  • Doing someone a solid: Exploring prisms, pyramids, cylinders, cones, and spheres
  • Top Ten list of cool careers that use geometry and tips for making geometry easier
  • Appendices with formulas, theorems, and other helpful geometry resources

So whatever your reason for wanting to learn geometry – a home improvement project, helping your kid with his or her homework, or just a fascination with funny shapes – Geometry For Dummies is just what you need to recall what you learned in school and put it to good use.
Elementary Geometry For College Students

Sales rank: 119917

Building on the success of its first three editions, the Fourth Edition of this market-leading text covers the important principles and real-world applications of plane geometry, with additional chapters on solid geometry, analytic geometry, and an introduction to trigonometry. Strongly influenced by both NCTM and AMATYC standards, the text takes an inductive approach that includes integrated activities and tools to promote hands-on application and discovery.

  • New! Tables provide visual connections between figures and concepts and help students better assess their level of mastery and test readiness.
  • New! Chapter Tests have been added to the end of every chapter.
  • New! Proofs have been varied to include written and visual proofs, as well as comparisons, to support students with different learning styles.
  • New! Exercise sets in the Student Study Guide, with cross-references to the text, offer additional practice and review.
  • New! Technology-related margin features encourage the use of the Geometer's Sketchpad, graphing calculators, and further explorations.
  • New! Coverage now includes Section 2.6, Symmetry and Transformations.
  • New! Technology Package includes the HM ClassPrep CD with computerized test bank (powered by Diploma).
  • Updated! The number of Exercises and Explorations has been increased.
  • Highly visual approach begins with the presentation of an idea, followed by the examination and development of a theory, verification of the theory through deduction, and finally, application of the principles to the real world.
  • Discovery features reinforce the text's inductive approach: activities integrated throughout enable students to discover geometry concepts on their own, and section tools provide with hands-on application of geometric concepts
  • Applications reinforce the connection of geometry to the real world: high-interest Chapter Openers introduce the principal notion of the chapter and relate to the real world and A Perspective On... sections conclude each chapter, providing sketches that are interesting, sometimes historical, and always informative.
  • Summaries of constructions, postulates, and theorems are provided, and an easy-to-navigate numbering system for postulates and theorems provides a user-friendly structure. In response to user feedback, paragraph proofs feature more prominently in this edition.
  • Comprehensive appendices include Algebra Review and An Introduction to Logic. A glossary of terms, a summary of applications in the text, and selected answers are also provided in the back of the text.
Schaum's Outline of Geometry

Sales rank: 21842

Three million high school students and 172, 000 college students enroll in geometry classes every year. Schaum's Outline of Geometry, Third Edition, is fully updated to reflect the many changes in geometry curriculum, including new terminology and notation and a new chapter on how to use the graphing calculator.
Geometry (Cliffs Quick Review)

Sales rank: 42036

CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions.

From planes, points, and postulates to squares, spheres, and slopes — and everything in between — CliffsQuickReview Geometry can help you make sense of it all. This guide introduces each topic, defines key terms, and walks you through each sample problem step-by-step. Begin with a review of fundamental ideas such as theorems, angles, and intersecting lines. In no time, you'll be ready to work on other concepts such as

  • Triangles and polygons: Classifying and identifying; features and properties; the Triangle Inequality Theorem; the Midpoint Theorem; and more
  • Perimeter and area: Parallelograms, trapezoids, regular polygons, circles
  • Similarity: Ratio and proportion; properties of proportions; similar triangles
  • Right triangles
  • Circles: Central angles and arcs; inscribed angles; chords, secants, tangents; arc length, sectors
  • Geometric solids and coordinate geometry

CliffsQuickReview Geometry acts as a supplement to your textbook and to classroom lectures. Use this reference in any way that fits your personal style for study and review — you decide what works best with your needs. Here are just a few ways you can search for topics:

  • Use the free Pocket Guide full of essential information
  • Get a glimpse of what you’ll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter
  • Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know
  • Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center
  • Use the glossary to find key terms fast.

With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades.
The Geometer's Sketchpad (R): Student Edition

Sales rank: 16185

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