Geometry with Trigonometry
eBook - PDF

Geometry with Trigonometry

  1. 256 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Geometry with Trigonometry

About this book

This book addresses a neglected mathematical area where basic geometry underpins undergraduate and graduate courses. Its interdisciplinary portfolio of applications includes computational geometry, differential geometry, mathematical modelling, computer science, computer-aided design of systems in mechanical, structural and other engineering, and architecture. Professor Barry, from his long experience of teaching and research, here delivers a modern and coherent exposition of this subject area for varying levels in mathematics, applied mathematics, engineering mathematics and other areas of application. Euclidean geometry is neglected in university courses or scattered over a number of them. This text emphasises a systematic and complete build-up of material, moving from pure geometrical reasoning aided by algebra to a blend of analytic geometry and vector methods with trigonometry, always with a view to efficiency. The text starts with a selection of material from the essentials of Euclidean geometry at A level, and ends with an introduction to trigonometric functions in calculus.Very many geometric diagrams are provided for a clear understanding of the text, with abundant Problem Exercises for each chapter. Students, researchers and industrial practitioners would benefit from this sustained mathematisation of shapes and magnitude from the real world of science which can raise and help their mathematical awareness and ability.- Provides a modern and coherent exposition of geometry with trigonometry for varying levels in mathematics, applied mathematics, engineering mathematics and other areas of application- Describes computational geometry, differential geometry, mathematical modelling, computer science, computer-aided design of systems in mechanical, structural and other engineering, and architecture- Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for each chapter

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Yes, you can access Geometry with Trigonometry by Patrick D Barry in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Woodhead Publishing
Year
2001
eBook ISBN
9780857099686
Topic
Mathematics
Subtopic
Geometry
Index
Mathematics

Table of contents

  1. Front Cover
  2. Geometry with Trigonometry
  3. Copyright Page
  4. Table of Contents
  5. About the author
  6. Dedication
  7. Preface
  8. Glossary
  9. Chapter 1. Preliminaries
  10. Chapter 2. Basic shapes of geometry
  11. Chapter 3. Distance; degree-measure of an angle
  12. Chapter 4. Congruence of triangles; parallel lines
  13. Chapter 5. The parallel axiom; Euclidean geometry
  14. Chapter 6. Cartesian coordinates; applications
  15. Chapter 7. Circles; their basic properties
  16. Chapter 8. Translations; axial symmetries; isometries
  17. Chapter 9. Trigonometry; cosine and sine; addition formulae
  18. Chapter 10. Complex coordinates; rotations, duo-angles
  19. Chapter 11. Vector and complex-number methods
  20. Chapter 12. Trigonometric functions in calculus
  21. Appendix; List of axioms
  22. Bibliography
  23. Index