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Six Gems Of Geometry Brings a Literal Understanding of How to Get From Point A to Point B - and Why
Six Gems Of Geometry Brings a Literal Understanding of How to Get From Point A to Point B - and Why
Terms of geometry which are familiar to people of all levels and interests become more meaningful when the basics are explained, leading to greater understanding.
OR ,
Portland,
United States of America
(prbd.net)
08/11/2010
Portland, OR - November 04, 2010 -- Six gems of geometry by Thomas Reale leads the reader through that sector of mathematics that caused so much challenge and discouragement in school in order to provide a greater awareness of the mechanics and reasons behind it. Reale's presentation serves a general audience equally as well as it will supplement the study of geometry by students in secondary schools.
By detailing the paths and purposes of his six Six gems of geometry, Reale lays before the reader the roots and origins of geometry, combined with the importance of their associations, clarifying how all the elements work together. While leaning on the classic work of Euclid, Six gems of geometry additionally presents a bridge into more modern processes.
Starting with Gem One: Basic Constructions, Six gems of geometry ( http://bit.ly/SixGemsOfGeometry ) introduces and explains the methods by which form can be captured from void. Using the basics from Euclid's Elements, written around 300 BCE, the reader quickly learns exactly why some techniques are considered to be classic, yet stand the test of centuries due to their reliability and consistency.
Gem Two: The Pythagorean Theorem addresses axioms such as the Parallel Axiom, angles in a circle, and proofing. Easy-to-absorb explanations, combined with a generous use of diagrams, assist in the student and reader's progress.
Gem Three: Area Of Triangles, brings the abstract of distance and measurement into the concrete. The obvious is used to give a greater comprehension of the more detailed. The use and role of squares and their areas serve as the means to bring a sharper vision to the mechanics of the triangle.
Gem Four: The Perpendicular Bisector continues the proof of foundations, which lend a greater sense of understanding. Reale's detailing of Euclid's concepts and roots assist the student in the growth of their comprehension. As the perpendicular bisector leads to the isosceles and equilateral triangles, the proof process takes the reader to the Isosceles Triangle Theorem.
Gem Five: The Coordinate System explains the process that proves a satisfaction of Euclid's axioms. Beginning with the simple x-axis and y-axis, Six gems of geometry advances into lines with their equations, angles, slopes and the algebraic criterion for constructability. Finally, a presentation of the practice and role of Isometics along with its elements of transformation, translations and rotations offers a grasp of how Euclid sought to bring the idea of motion into his proofs.
Gem Six: Vectors presents the role of this tool in Euclidean geometry. Reale explains that once vectors are used to create real vector spaces, all theorems of Euclidean geometry can be proven. Direction, linear independence, the inner product and cosine, along with their formula and rule conclude the presentation contained in Six gems of geometry.
In order to further the students' achievement and to affirm their advancement, Six gems of geometry ( http://bit.ly/SixGemsOfGeometry ) includes exercises for the reader to complete at the conclusion of each chapter.
Interspersed throughout his book, Reale takes the reader back in time to an imagined meeting and conversation between Euclid, Sir Isaac Newton, and the ancient Gods, where the schools of mathematics converge with each other. The man of the origins leads the man of the now to a challenge placed before him by the Gods. The future of all alignment then rests upon his understanding and ability to execute.
Six gems of geometry deconstructs the challenging impression initially made by this area of mathematics. By building on the visual, along with an easy-to-absorb presentation of the descriptive, Thomas Reale helps students and readers take a firm grasp of the "what's" of geometry to better understand the "why's".
About The Author
Tomas Reale studied English Literature at Northern Arizona University, and at Reed College studied Arts and Liberal Studies with a focus on Mathematics. He is the author and illustrator of Oodles and Oodles of Ooze. Reale currently lives and writes in Portland, Oregon.
About PSIpress:
PSIpress is a new, wholly independent publisher. Our mission is to help members of the science-minded community realize their full potential as published authors, and to help them enjoy the process. We take pride in the quality of our books, placing a great deal of emphasis on personal contact with our authors to ensure a successful publishing experience. For further details on Six gems of geometry please visit http://www.PerfSciPress.com or call 503-724-8656.
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