Covering everything a student would encounter in a high school or college course, Idiot's Guides: Geometry explains concepts in the easiest possible manner. Content includes everything from the basics of geometry; reasoning and proof; triangles; quadrilaterals; area and volume; similarity, perpendicular and parallel lines; and much more. This all-new book integrates a practice problems section to reinforce lessons. In addition, a glossary of geometry terms, postulates, and theorem...

• Follows a standard course curriculum• Includes both polar coordinates and complex numbers, unlike the competition

Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. ...

WHO IS MR.W?Dennis Irwin Weichman (MR. W) holds a Bachelors degree and Masters degree in mathematics from the University of Western Ontario. His series of Math Study Guides capture his teaching methodology best practices from 30 years as a high school teacher and 20 years as a private math tutor.It all started with the idea of simplifying the process of teaching math using a step by step approach. MR. W's Math Study Guides will lead you through each step to enable a better ...

It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to … Z introduces the reader to this fascinating subject that from the time of L. Euler has become one of the most utilized ideas in mathematics.The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interp...

This solutions manual thoroughly goes through the exercises found in Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. Several solutions are accompanied by detailed illustrations and intuitive explanations. This book will pave the way for students to easily grasp the multitude of solution methods and aspects of convex sets and convex functions. Companion Textbook here

The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter.We begin with the linear theory, then give the definition of symplectic manifolds and some basic examples, review advanced calculus, discuss Hamiltonian systems, tour rapidly group and the basics of contact geometry, and solve problems in chapter 8. The material just described can be use...

Can geometry be exciting?It can for those who can appreciate the beauty of numbers and their relationships.This eBook contains a meticulous geometric investigation of the 5 Platonic Solids and 5 other important polyhedra, as well as reference charts for each solid.Poly (many) hedron (face) means "many faces." Polyhedra are 3 dimensional figures with 4 or more faces, or sides.These polyhedra are reflections of Nature herself, and a study of them provides insigh...

An easily accessible introduction to over three centuries of innovations in geometryPraise for the First Edition“. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICEThis fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory lev...

Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author discusses the profound discoveries of the astonishing features of these 3-manifolds, helping the rea...

This book constitutes revised selected papers from the 41st International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2015, held in Garching, Germany, in June 2015.The 32 papers presented in this volume were carefully reviewed and selected from 79 submissions. They were organized in topical sections named: invited talks; computational complexity; design and analysis; computational geometry; structural graph theory; graph drawing; and fixed parameter tractability.