Methods of GeometryJohn Wiley & Sons, 1 Μαρ 2011 - 486 σελίδες A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures: * Ample exercises designed to promote effective problem-solvingstrategies * 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 upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department. |
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Αποτελέσματα 1 - 5 από τα 89.
Σελίδα xi
... first upper-division course with an algebraic flavor. All topics mentioned in the previous paragraph are indeed covered here, but if this is the first exposure to too many of them, there won't be enough time nor energy for geometry ...
... first upper-division course with an algebraic flavor. All topics mentioned in the previous paragraph are indeed covered here, but if this is the first exposure to too many of them, there won't be enough time nor energy for geometry ...
Σελίδα xii
... first weeks. That way, students aren't forced to postpone research and outlining until it's nearly too late. The first two chapters of this book raise a number of questions that could lead to excellent papers, questions to which it ...
... first weeks. That way, students aren't forced to postpone research and outlining until it's nearly too late. The first two chapters of this book raise a number of questions that could lead to excellent papers, questions to which it ...
Σελίδα 2
... first weeks. That way, you're not forced to postpone your research and outlining until it's nearly too late. The first two chapters raise a number of questions that could lead to excellent papers, questions to which the book gives no ...
... first weeks. That way, you're not forced to postpone your research and outlining until it's nearly too late. The first two chapters raise a number of questions that could lead to excellent papers, questions to which the book gives no ...
Σελίδα 12
... first developed in the seventeenth century to handle that application. The modern version of the application belongs to computer graphics. The corresponding part of analytic geometry uses homogeneous coordinates; points in the plane ...
... first developed in the seventeenth century to handle that application. The modern version of the application belongs to computer graphics. The corresponding part of analytic geometry uses homogeneous coordinates; points in the plane ...
Σελίδα 14
... first in school, then scattered among lower division calculus and physics courses. Appendix C presents an outline of the topics from this area that you'll need. It's all in one place, presented with consistent notation. A few additional ...
... first in school, then scattered among lower division calculus and physics courses. Appendix C presents an outline of the topics from this area that you'll need. It's all in one place, presented with consistent notation. A few additional ...
Περιεχόμενα
1 | |
19 | |
3 Elementary Euclidean geometry | 53 |
4 Exercises on elementary geometry | 127 |
5 Some triangle and circle geometry | 157 |
6 Plane isometrles and similarities | 227 |
7 Three dimensional isometries and similarities | 295 |
8 Symmetry | 327 |
Appendix A Equivalence relations | 423 |
Appendix B Least upper bound principle | 425 |
Appendix C Vector and matrix algebra | 429 |
Bibliography | 443 |
Index | 463 |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC algebra altitude analogous angle parameter apply AX YZ axiomatic axis bijection bisector called chapter circle classification collinear composition compute concepts congruent conjugacy conjugate Consider construct contains convex coordinate system Corollary corresponding define definition deltahedra Desargues dihedral dihedral angles distance edges equations Euclid Euclidean geometry example Exercise exterior angle theorem faces figure find finite first fixed fixpoint Flgure formula frieze group function glide reflection half turn hence Hilbert incidence axioms interior intersection isometry group isomorphic lemma line g linear mathematicians mathematics matrix methods midpoint noncollinear orthogonal orthogonal matrix parallel axiom parallelogram perpendicular plane isometries points polygonal region polyhedra polyhedron prism Proof prove radius ratio real number regular result rotation segment shown in figure similarity Suppose symmetry group tangent tetrahedron theorem theory there’s three-dimensional transformation transformational geometry triangle triangular undefined upper bound vector vertex vertices wallpaper groups