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  • Presents an in-depth analysis of geometry of part surfaces and provides the tools for solving complex engineering problems Geometry of Surfaces: A Practical Guide for Mechanical Engineers is a comprehensive guide to applied geometry of surfaces with focus on practical applications in various areas of mechanical engineering. The book is divided into three parts on Part Surfaces, Geometry of Contact of Part Surfaces and Mapping of the Contacting Part Surfaces. Geometry of Surfaces: A Practical Guide for Mechanical Engineers combines differential geometry and gearing theory and presents new developments in the elementary theory of enveloping surfaces. Written by a leading expert of the field, this book also provides the reader with the tools for solving complex engineering problems in the field of mechanical engineering. Presents an in-depth analysis of geometry of part surfaces Provides tools for solving complex engineering problems in the field of mechanical engineering Combines differential geometry and gearing theory Highlights new developments in the elementary theory of enveloping surfaces Essential reading for researchers and practitioners in mechanical, automotive and aerospace engineering industries; CAD developers; and graduate students in Mechanical Engineering.
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  • Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout. The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes: Multiple entertaining and elegant geometry problems at the end of each section for every level of study Fully worked examples with exercises to facilitate comprehension and retention Unique topical coverage, such as the theorems of Ceva and Menalaus and their applications An approach that prepares readers for the art of logical reasoning, modeling, and proofs The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.
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  • Эта книга — репринт оригинального издания, созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.
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  • Just the critical concepts you need to score high in geometry This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams. Get down to the basics – get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonals Conquer proofs with confidence – follow easy-to-grasp instructions for understanding the components of a formal geometry proof Take triangles in strides – learn how to take in a triangles sides, analyze its angles, work through an SAS proof, and apply the Pythagorean Theorem Polish up on polygons – get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much more Open the book and find: Plain-English explanations of geometry terms Tips for tackling geometry proofs The seven members of the quadrilateral family Straight talk on circles Essential triangle formulas The lowdown on 3-D: spheres, cylinders, prisms, and pyramids Ten things to use as reasons in geometry proofs Learn to: Core concepts about the geometry of shapes and geometry proofs Critical theorems, postulates, and definitions The principles and formulas you need to know
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  • You, too, can understand geometry – just ask Dr. Math! Are things starting to get tougher in geometry class? Dont panic. Dr. Math–the popular online math resource–is here to help you figure out even the trickiest of your geometry problems. Students just like you have been turning to Dr. Math for years asking questions about math problems, and the math doctors at The Math Forum have helped them find the answers with lots of clear explanations and helpful hints. Now, with Dr. Math Presents More Geometry, youll learn just what it takes to succeed in this subject. Youll find the answers to dozens of real questions from students in a typical geometry class. Youll also find plenty of hints and shortcuts for using coordinate geometry, finding angle relationships, and working with circles. Pretty soon, everything from the Pythagorean theorem to logic and proofs will make more sense. Plus, youll get plenty of tips for working with all kinds of real-life problems. You wont find a better explanation of high school geometry anywhere!
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