Practical Geometry (Part Two) PDF Download
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Author: Kwang S. Ko
Publisher: Createspace Independent Publishing Platform
ISBN: 9781523362011
Category :
Languages : en
Pages : 196
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Book Description
This is a study guide written primarily for middle and high schoolers in order for them to learn relevant math concepts at their level. There is an introduction before each chapter that describes what will be covered. Chapter 7 discusses similarity, which explains the ratio between two numbers, discern proportions and their properties, identifies the properties of similar polygons, and proves that two triangles can be similar with different postulates and theorems, as well as learning how to identify dilations and its properties. Chapter 8 covers right triangles, which demonstrates how to solve problems involving similar triangles formed by the altitude that is perpendicular to the hypotenuse, finding the lengths of the sides of a triangle with the Pythagorean Theorem, using side lengths to classify triangles and angles measures and finding their length in special right triangles, and to find the magnitude and direction of a vector. Chapter 9 deals with circles that discuss segments and lines related to circles, use properties of tangents, arcs, and chords of a circle as well as the properties of inscribed angles and inscribed polygons of a circle, and finding and graphing the equation of a circle. Chapter 10 teaches areas of polygons and circles, which can describe the angle measures of polygons, the areas of regular polygons as well as the perimeters and areas of similar figures, the circumference and arc length of circles, and the areas of circles and their sectors. Each concept has a step-by-step explanation on how to approach the problems. Afterwards, there is a self- test that assesses the knowledge of the student, and at the end of the book, there is a review test that examines the student's knowledge of all the previous chapters.
Author: Kwang S. Ko
Publisher: Createspace Independent Publishing Platform
ISBN: 9781523362011
Category :
Languages : en
Pages : 196
Get Book Here
Book Description
This is a study guide written primarily for middle and high schoolers in order for them to learn relevant math concepts at their level. There is an introduction before each chapter that describes what will be covered. Chapter 7 discusses similarity, which explains the ratio between two numbers, discern proportions and their properties, identifies the properties of similar polygons, and proves that two triangles can be similar with different postulates and theorems, as well as learning how to identify dilations and its properties. Chapter 8 covers right triangles, which demonstrates how to solve problems involving similar triangles formed by the altitude that is perpendicular to the hypotenuse, finding the lengths of the sides of a triangle with the Pythagorean Theorem, using side lengths to classify triangles and angles measures and finding their length in special right triangles, and to find the magnitude and direction of a vector. Chapter 9 deals with circles that discuss segments and lines related to circles, use properties of tangents, arcs, and chords of a circle as well as the properties of inscribed angles and inscribed polygons of a circle, and finding and graphing the equation of a circle. Chapter 10 teaches areas of polygons and circles, which can describe the angle measures of polygons, the areas of regular polygons as well as the perimeters and areas of similar figures, the circumference and arc length of circles, and the areas of circles and their sectors. Each concept has a step-by-step explanation on how to approach the problems. Afterwards, there is a self- test that assesses the knowledge of the student, and at the end of the book, there is a review test that examines the student's knowledge of all the previous chapters.
Author: BarCharts, Inc
Publisher:
ISBN: 9781423234715
Category : Geometry
Languages : en
Pages : 0
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Book Description
Guaranteed to boost test scores and grades. The essentials of this branch of mathematics are an important foundation that future more advanced math is built upon. Using this as a review and reinforcement tool is quick and easy to do daily or weekly, keeping all concepts fresh once you move deeper into the subject. For complete coverage, get the Geometry Part 2 QuickStudy guide and use the two guides to study, reference, review and ace the grade. 6-page laminated guide includes: Geometric Formulas Undefined Terms Defined Terms Space Shapes Lines Planes Line Segments Rays Angles Suggested uses: Quick Reference - instead of digging into the textbook to find a core answer you need while studying, use the guide to reinforce quickly and repeatedly Memory - refreshing your memory repeatedly is a foundation of studying, have the core answers handy so you can focus on understanding the concepts Test Prep - no student should be cramming, but if you are, there is no better tool for that final review
Author: Ulrich Görtz
Publisher: Springer Science & Business Media
ISBN: 3834897221
Category : Mathematics
Languages : en
Pages : 615
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Book Description
This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.
Author: S. B. Kizlik
Publisher:
ISBN: 9781572225329
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Coverage of the fundamental structure of geometry. Part 1 of two guides on geometry.
Author: Igor Rostislavovich Shafarevich
Publisher: Springer Science & Business Media
ISBN: 9783540575542
Category : Mathematics
Languages : en
Pages : 292
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Book Description
The second volume of Shafarevich's introductory book on algebraic geometry focuses on schemes, complex algebraic varieties and complex manifolds. As with Volume 1 the author has revised the text and added new material, e.g. a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as in theoretical physics.
Author: Speedy Publishing
Publisher: Speedy Publishing LLC
ISBN: 1681856018
Category : Mathematics
Languages : en
Pages : 6
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Book Description
Simply put, geometry is known as the study of shapes. But if you dig deeper into the concept, you will find that it's actually more than that. This quick study guide provides an in-dept analysis of this mathematical concept. It was written with the intent to remind you of the basics in order to smoothly transition to the more complex geometric theories. Grab a copy now!
Author: Gerd Rudolph
Publisher: Springer Science & Business Media
ISBN: 9400753454
Category : Science
Languages : en
Pages : 766
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Book Description
Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.
Author: Andreĭ Petrovich Kiselev
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 192
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Book Description
This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
Author: Richard Rusczyk
Publisher: Aops Incorporated
ISBN: 9781934124086
Category : Juvenile Nonfiction
Languages : en
Pages : 557
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Book Description
Author: Kirk Weiler
Publisher:
ISBN: 9781944719234
Category :
Languages : en
Pages :
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Book Description
