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Geometry Part 1
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Book Synopsis Algebraic Geometry by : Ulrich Görtz
Download or read book Algebraic Geometry written by Ulrich Görtz and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometry Part 1 written by BarCharts, Inc and published by . This book was released on 2017-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Kiselev's Geometry by : Andreĭ Petrovich Kiselev
Download or read book Kiselev's Geometry written by Andreĭ Petrovich Kiselev and published by . This book was released on 2008 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :Kwang S. Ko Publisher :Createspace Independent Publishing Platform ISBN 13 :9781523362011 Total Pages :196 pages Book Rating :4.3/5 (62 download)
Book Synopsis Practical Geometry (Part Two) by : Kwang S. Ko
Download or read book Practical Geometry (Part Two) written by Kwang S. Ko and published by Createspace Independent Publishing Platform. This book was released on 2016-01-13 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometry Part 1 written by S. B. Kizlik and published by . This book was released on 2001-02-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coverage of the fundamental structure of geometry. Part 1 of two guides on geometry.
Book Synopsis A School Geometry by : Henry Sinclair Hall
Download or read book A School Geometry written by Henry Sinclair Hall and published by . This book was released on 1908 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Igor Rostislavovich Shafarevich Publisher :Springer Science & Business Media ISBN 13 :9783540575542 Total Pages :292 pages Book Rating :4.5/5 (755 download)
Book Synopsis Basic Algebraic Geometry 2 by : Igor Rostislavovich Shafarevich
Download or read book Basic Algebraic Geometry 2 written by Igor Rostislavovich Shafarevich and published by Springer Science & Business Media. This book was released on 1994 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Geometry Part 1 (Speedy Study Guides) by : Speedy Publishing
Download or read book Geometry Part 1 (Speedy Study Guides) written by Speedy Publishing and published by Speedy Publishing LLC. This book was released on 2015-05-25 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!
Book Synopsis Geometry: A Comprehensive Course by : Dan Pedoe
Download or read book Geometry: A Comprehensive Course written by Dan Pedoe and published by Courier Corporation. This book was released on 2013-04-02 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Book Synopsis Differential Geometry and Mathematical Physics by : Gerd Rudolph
Download or read book Differential Geometry and Mathematical Physics written by Gerd Rudolph and published by Springer Science & Business Media. This book was released on 2012-11-09 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Basics of Triangles by : Smita Suvadarsini
Download or read book Basics of Triangles written by Smita Suvadarsini and published by Smita Suvadarsini. This book was released on 2021-06-25 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the concepts of fundamentals of triangles (on a 2D plane) in a lucid way for middle school and high school students. The topics start from knowing about angles, parallel lines to the medians, perpendicular bisectors and angle bisectors of a triangle as well as finding the areas of different triangles and also, knowing orthocenter, circumcenter etc. of a triangle. Each concept in a chapter includes various examples to help you understand those concepts in a deeper way. This book is made with the aim of helping you learn geometry of triangles in a much simpler way without much prior knowledge. Hope you enjoy this book and it helps you in learning more about geometry!
Book Synopsis Common Core Geometry by : Kirk Weiler
Download or read book Common Core Geometry written by Kirk Weiler and published by . This book was released on 2018-04 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Kwang S. Ko Publisher :Createspace Independent Publishing Platform ISBN 13 :9781523267361 Total Pages :228 pages Book Rating :4.2/5 (673 download)
Book Synopsis Practical Geometry (Part One) by : Kwang S. Ko
Download or read book Practical Geometry (Part One) written by Kwang S. Ko and published by Createspace Independent Publishing Platform. This book was released on 2016-01-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 1 introduces basic geometry, and analyzes different kinds of angles and establishes fundamental terms about geometry. Chapter 2 discusses inductive and deductive reasoning, the conditional statement and its various forms, and the properties of equality for solving algebraic equation. Chapter 3 deals with the perpendicular and parallel lines including the properties of perpendicular and parallel lines that are given with distinctive pairs of angle relationships. Chapter 4 covers congruent triangles classified by their sides and angles, congruent figures and their corresponding parts are identified, and how to prove triangles to be congruent through different postulates and theorems. Chapter 5 instructs on triangles, which discusses the properties of perpendicular and angle bisectors, the properties of medians and altitudes of triangles, and the properties of midsegments of triangles. Chapter 6 analyzes quadrilaterals based on limited information, classifies the different kinds of quadrilaterals, and covers the different properties of quadrilaterals, which includes, but are not limited to parallelograms, squares, and trapezoids. 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 grasps the student's knowledge all the previous chapters.
Book Synopsis Excursions in Geometry by : Charles Stanley Ogilvy
Download or read book Excursions in Geometry written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1990-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
Download or read book Algebra and Geometry written by Hongxi Wu and published by American Mathematical Soc.. This book was released on 2020-09-08 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. The first part of this volume is devoted to the study of standard algebra topics: quadratic functions, graphs of equations of degree 2 in two variables, polynomials, exponentials and logarithms, complex numbers and the fundamental theorem of algebra, and the binomial theorem. Having translations and the concept of similarity at our disposal enables us to clarify the study of quadratic functions by concentrating on their graphs, the same way the study of linear functions is greatly clarified by knowing that their graphs are lines. We also introduce the concept of formal algebra in the study of polynomials with complex coefficients. The last three chapters in this volume complete the systematic exposition of high school geometry that is consistent with CCSSM. These chapters treat the geometry of the triangle and the circle, ruler and compass constructions, and a general discussion of axiomatic systems, including non-Euclidean geometry and the celebrated work of Hilbert on the foundations. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne
Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Book Synopsis A Course in Metric Geometry by : Dmitri Burago
Download or read book A Course in Metric Geometry written by Dmitri Burago and published by American Mathematical Society. This book was released on 2022-01-27 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
