James T Smith

Methods of Geometry

• Gebundenes Buch

Produktbeschreibung

A practical, accessible introduction to advanced geometry Exceptionally well-written and filled with historical and bibliographic notes, Methods of Geometry presents a practical and proof-oriented approach. The author develops a wide range of subject areas at an intermediate level and explains how theories that underlie many fields of advanced mathematics ultimately lead to applications in science and engineering. Foundations, basic Euclidean geometry, and transformations are discussed in detail and applied to study advanced plane geometry, polyhedra, isometries, similarities, and symmetry. An excellent introduction to advanced concepts as well as a reference to techniques for use in independent study and research, Methods of Geometry also features: * Ample exercises designed to promote effective problem-solving strategies * 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 upper bound principle, and equivalence relations

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Produktdetails

• Verlag: Wiley
• Seitenzahl: 486
• Erscheinungstermin: 10. Januar 2000
• Englisch
• Abmessung: 240mm x 161mm x 31mm
• Gewicht: 918g
• ISBN-13: 9780471251835
• ISBN-10: 0471251836
• Artikelnr.: 21793529

Autorenporträt

Lynnfred Smith is a new author who is fascinated with history and science fiction. In 2019, while working for a well-known airline, Lynnfred found himself drawn to write books because of significant present day events which affects our lives daily. He wrote the book Narratives: The Continuing Generational Pandemic in August 2020 to introduce the public to the Ma'riine 4 book series beginning with his new novel Ma'riine: Extinction Level Event 6 (The Medusa Syndrome).

Inhaltsangabe

Foundations.
Elementary Euclidean Geometry.
Exercises on Elementary Geometry.
Some Triangle and Circle Geometry.
Plane Isometries and Similarities.
Three Dimensional Isometries and Similarities.
Symmetry.
Appendices.
Bibliography.
Index.

Rezensionen

"It should be emphasized that the book is filled with historicaland bibliographic notes, good motivations and a number ofexercises. Altogether, it can be regarded as a good approach to aspecial part of geometry on an intermediate level." (ZentralblattMath, Volume 955, No 5, 2001)

"Fine interweaving of history, foundations, and geometry.... Usefulas a source of exercises." (American Mathematical Monthly, November2001)