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This book is a self-contained introduction to the fundamental and interesting topics of geometry. The topics covered include the definitions and properties of 2D and 3D shapes, the basic concepts and formulas of perimeter, area and volume, the Pick’s formula, the Cavalieri’s principles, the basic geometric transformations, the concepts of tessellations, the Euler’s polyhedral formula, and the methods of construction of regular polygons and regular polyhedra. Complemented by diagrams, pictures, examples and exercises, the materials covered are suitable for an introductory course on geometry and will appeal to school students, teachers, junior undergraduate students, mathematics instructors or lecturers alike.
Book Synopsis Essential Concepts of Geometry (Second Edition) by : Man Yiu Kwong
Download or read book Essential Concepts of Geometry (Second Edition) written by Man Yiu Kwong and published by 香港教育圖書公司. This book was released on 2019-08-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained introduction to the fundamental and interesting topics of geometry. The topics covered include the definitions and properties of 2D and 3D shapes, the basic concepts and formulas of perimeter, area and volume, the Pick’s formula, the Cavalieri’s principles, the basic geometric transformations, the concepts of tessellations, the Euler’s polyhedral formula, and the methods of construction of regular polygons and regular polyhedra. Complemented by diagrams, pictures, examples and exercises, the materials covered are suitable for an introductory course on geometry and will appeal to school students, teachers, junior undergraduate students, mathematics instructors or lecturers alike.
Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.
Book Synopsis Fundamental Concepts of Geometry by : Bruce E. Meserve
Download or read book Fundamental Concepts of Geometry written by Bruce E. Meserve and published by Courier Corporation. This book was released on 2014-12-08 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.
No descriptive material is available for this title.
Book Synopsis Basic Concepts of Geometry by : Walter Prenowitz
Download or read book Basic Concepts of Geometry written by Walter Prenowitz and published by Rowman & Littlefield. This book was released on 2012-10-04 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: No descriptive material is available for this title.
This textbook is designed to provide students with the sound foundation in geometry that is necessary to pursue further courses in college mathematics. It is written for college students who have no previous experience with plane Euclidean geometry and for those who need a refresher in the subject.
Book Synopsis Essentials of Geometry for College Students by : Margaret L. Lial
Download or read book Essentials of Geometry for College Students written by Margaret L. Lial and published by Addison-Wesley Longman. This book was released on 2003-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed to provide students with the sound foundation in geometry that is necessary to pursue further courses in college mathematics. It is written for college students who have no previous experience with plane Euclidean geometry and for those who need a refresher in the subject.
Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: The second edition has been comprehensively revised over three years Errors have been corrected and some proofs marginally improved The substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given Provides a modern and coherent exposition of geometry with trigonometry for many audiences across mathematics Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for many chapters Generalizations of this material, such as to solid euclidean geometry and conic sections, when combined with calculus, would lead to applications in science, engineering, and elsewhere
Book Synopsis Geometry with Trigonometry by : Patrick D Barry
Download or read book Geometry with Trigonometry written by Patrick D Barry and published by Woodhead Publishing. This book was released on 2015-12-24 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: The second edition has been comprehensively revised over three years Errors have been corrected and some proofs marginally improved The substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given Provides a modern and coherent exposition of geometry with trigonometry for many audiences across mathematics Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for many chapters Generalizations of this material, such as to solid euclidean geometry and conic sections, when combined with calculus, would lead to applications in science, engineering, and elsewhere
This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra. Topics include: A Brief History of Geometry 1. Basic Geometry Concepts 2. More about Angles 3. Triangles 4. More about Triangles: Similarity and Congruence 5. Quadrilaterals 6. Polygons 7. Area and Perimeter 8. Circles 9. Volume and Surface Area 10. Basic Trigonometry
Book Synopsis Geometry by : Alan Bass
Download or read book Geometry written by Alan Bass and published by . This book was released on 2007-04-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra. Topics include: A Brief History of Geometry 1. Basic Geometry Concepts 2. More about Angles 3. Triangles 4. More about Triangles: Similarity and Congruence 5. Quadrilaterals 6. Polygons 7. Area and Perimeter 8. Circles 9. Volume and Surface Area 10. Basic Trigonometry
Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.
Book Synopsis Basic Concepts of Synthetic Differential Geometry by : R. Lavendhomme
Download or read book Basic Concepts of Synthetic Differential Geometry written by R. Lavendhomme and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry. From rudimentary analysis the book moves to such important results as: a new proof of De Rham's theorem; the synthetic view of global action, going as far as the Weil characteristic homomorphism; the systematic account of structured Lie objects, such as Riemannian, symplectic, or Poisson Lie objects; the view of global Lie algebras as Lie algebras of a Lie group in the synthetic sense; and lastly the synthetic construction of symplectic structure on the cotangent bundle in general. Thus while the book is limited to a naive point of view developing synthetic differential geometry as a theory in itself, the author nevertheless treats somewhat advanced topics, which are classic in classical differential geometry but new in the synthetic context. Audience: The book is suitable as an introduction to synthetic differential geometry for students as well as more qualified mathematicians.
This is the new Geometry 2nd Edition, a completely edited version including a handy glossary and resource center. Geometry is one of the most useful topics in math. If you look around, you will see geometry in houses, cars, furniture, toys, roads and freeways, and much more. To design and build things, a great deal of geometry is used. Working through this book will provide you with a strong, basic understanding of geometry. Enjoy the journey. Perfect for students who are math challenged. Lessons are presented in a format that everyone can understand. Each lesson flows smoothly and logically to the next. Each lesson is short, concise, and to the point. Lots of examples with step-by-step solutions. Each lesson includes a valuable Helpful Hints section. Review is built into each lesson. Students will retain what they have learned! Each lesson includes Problem Solving. This ensures that students will learn to apply their math skills to real-life situations. Includes free access to video tutorials. Just go to www.mathessentials.net and click on the Videos button. Topics: Points, Lines, and Planes Parallel & Intersecting Lines Types of Angles Measuring & Constructing Angles Polygons Classification of Triangles Perimeter of Polygons Problem Solving Involving Perimeter of Polygons Circles Circumference of Circles Problem Solving Involving Circumference of Circles The Pythagorean Theorem Area of Polygons Area of Circles Problem Solving Involving Area Solid Figures Surface Area Volume Final Review and Tests Solutions Glossary
Book Synopsis Mastering Essential Math Skills by : Richard Fisher
Download or read book Mastering Essential Math Skills written by Richard Fisher and published by . This book was released on 2021-07-19 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the new Geometry 2nd Edition, a completely edited version including a handy glossary and resource center. Geometry is one of the most useful topics in math. If you look around, you will see geometry in houses, cars, furniture, toys, roads and freeways, and much more. To design and build things, a great deal of geometry is used. Working through this book will provide you with a strong, basic understanding of geometry. Enjoy the journey. Perfect for students who are math challenged. Lessons are presented in a format that everyone can understand. Each lesson flows smoothly and logically to the next. Each lesson is short, concise, and to the point. Lots of examples with step-by-step solutions. Each lesson includes a valuable Helpful Hints section. Review is built into each lesson. Students will retain what they have learned! Each lesson includes Problem Solving. This ensures that students will learn to apply their math skills to real-life situations. Includes free access to video tutorials. Just go to www.mathessentials.net and click on the Videos button. Topics: Points, Lines, and Planes Parallel & Intersecting Lines Types of Angles Measuring & Constructing Angles Polygons Classification of Triangles Perimeter of Polygons Problem Solving Involving Perimeter of Polygons Circles Circumference of Circles Problem Solving Involving Circumference of Circles The Pythagorean Theorem Area of Polygons Area of Circles Problem Solving Involving Area Solid Figures Surface Area Volume Final Review and Tests Solutions Glossary
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Book Synopsis The Foundations of Geometry by : David Hilbert
Download or read book The Foundations of Geometry written by David Hilbert and published by Read Books Ltd. This book was released on 2015-05-06 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles. The book begins with elementary ideas about points, lines, and distance, gradually introducing more advanced concepts such as congruent triangles and geometric inequalities. At the core of the text, the author simultaneously develops the classical formulas for spherical and hyperbolic geometry within the axiomatic framework. He explains how the trigonometry of the right triangle, including the Pythagorean theorem, is developed for classical non-Euclidean geometries. Previously accessible only to advanced or graduate students, this material is presented at an elementary level. The book also explores other important concepts of modern geometry, including affine transformations and circular inversion. Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einstein’s relativity, and theories of cosmology.
Book Synopsis College Geometry by : David C. Kay
Download or read book College Geometry written by David C. Kay and published by CRC Press. This book was released on 2011-06-24 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles. The book begins with elementary ideas about points, lines, and distance, gradually introducing more advanced concepts such as congruent triangles and geometric inequalities. At the core of the text, the author simultaneously develops the classical formulas for spherical and hyperbolic geometry within the axiomatic framework. He explains how the trigonometry of the right triangle, including the Pythagorean theorem, is developed for classical non-Euclidean geometries. Previously accessible only to advanced or graduate students, this material is presented at an elementary level. The book also explores other important concepts of modern geometry, including affine transformations and circular inversion. Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einstein’s relativity, and theories of cosmology.
