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Intermediate Algebra & Analytic Geometry
Author: William R. Gondin
Publisher: Elsevier
Published: 2014-05-12
Total Pages: 288
ISBN-13: 1483278204
DOWNLOAD EBOOK →Intermediate Algebra & Analytic Geometry Made Simple focuses on the principles, processes, calculations, and methodologies involved in intermediate algebra and analytic geometry. The publication first offers information on linear equations in two unknowns and variables, functions, and graphs. Discussions focus on graphic interpretations, explicit and implicit functions, first quadrant graphs, variables and functions, determinate and indeterminate systems, independent and dependent equations, and defective and redundant systems. The text then examines quadratic equations in one variable, systems involving quadratics, and determinants. Topics include determinants of higher order, application of Cramer's rule, second-order determinants, systems linear in quadratic terms, systems treatable by substitution, systems with a linear equation, and other systems treated by comparison. The manuscript ponders on trigonometric functions and equations, straight lines, and points, distances, and slopes, including intersection points of lines, perpendicular distances, angles between lines, positions of points, inverse trigonometric functions, and trigonometric equations. The publication is a valuable source of data for readers interested in intermediate algebra and analytic geometry.
Advanced Euclidean Geometry
Author: Roger A. Johnson
Publisher: Courier Corporation
Published: 2013-01-08
Total Pages: 338
ISBN-13: 048615498X
DOWNLOAD EBOOK →This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Introduction to Geometry
Author: Richard Rusczyk
Publisher: Aops Incorporated
Published: 2007-07-01
Total Pages: 557
ISBN-13: 9781934124086
DOWNLOAD EBOOK →Methods of Geometry
Author: James T. Smith
Publisher: John Wiley & Sons
Published: 2011-03-01
Total Pages: 486
ISBN-13: 1118031032
DOWNLOAD EBOOK →A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures: Ample exercises designed to promote effective problem-solvingstrategies Insight into novel uses of Euclidean geometry More than 300 figures accompanying definitions and proofs A comprehensive and annotated bibliography Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.
Challenging Problems in Geometry
Author: Alfred S. Posamentier
Publisher: Courier Corporation
Published: 2012-04-30
Total Pages: 275
ISBN-13: 0486134865
DOWNLOAD EBOOK →Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
Intermediate Geometry Problems
Author: Kiran R. Desai, Ph.d.
Publisher: Createspace Independent Publishing Platform
Published: 2011-11-30
Total Pages: 58
ISBN-13: 9781463552367
DOWNLOAD EBOOK →The problems in this book are suggested for evaluating the concepts taught in the intermediate geometry class. The problems are of a highly visual nature and meant to be challenging. The problems are designed to lead to a merging of geometry and art at the middle school level.The problems presented in this book include:* Visual problems to determine area of various iterative polygon based shapes* Visual representation of solid objects to determine their volume* Visual medley of circles, squares, and triangles to determine their relationships* Determining properties of angles, triangles, square, and rhombus * Visual problems for determining equivalence of geometric properties of polygonal shapes* Determination of area of objects using reference objects as basic elements* Visual representations of lines and triangles to solve problems based on equations* Identifying intersection points for an underlying visual diagram* Application of Pythagorean Theorem to problems represented visually* Applications of factorization and LCM to problems on area and volume* Changes to area of triangles based on various construction techniques* Inferences for area or angle measures of unknown elements in constructed diagramsAlso available at CreateSpace eStore: https://www.createspace.com/3623925
Euclidean Geometry in Mathematical Olympiads
Author: Evan Chen
Publisher: American Mathematical Soc.
Published: 2021-08-23
Total Pages: 311
ISBN-13: 1470466201
DOWNLOAD EBOOK →This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.
Arithmetic Geometry and Automorphic Forms
Author: James W. Cogdell
Publisher: International Pressof Boston Incorporated
Published: 2011
Total Pages: 557
ISBN-13: 9781571462299
DOWNLOAD EBOOK →Intermediate Geometry
