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. |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 83.
Σελίδα ix
... Appendix A Equivalence relations Appendix B Least upper bound principle Appendix C Vector and matrix algebra Bibliography Index 295 327 423 425 429 443 463 This page intentionally left blank Preface This book is a CONTENTS ix.
... Appendix A Equivalence relations Appendix B Least upper bound principle Appendix C Vector and matrix algebra Bibliography Index 295 327 423 425 429 443 463 This page intentionally left blank Preface This book is a CONTENTS ix.
Σελίδα xi
... algebra and the solution of square and nonsquare linear systems. Appendix C provides a streamlined summary of that ... algebraic flavor. All topics mentioned in the previous paragraph are indeed covered here, but if this is the first ...
... algebra and the solution of square and nonsquare linear systems. Appendix C provides a streamlined summary of that ... algebraic flavor. All topics mentioned in the previous paragraph are indeed covered here, but if this is the first ...
Σελίδα xii
... algebra; William Waln and Hugh Barber in high-school geometry and trigonometry In later work, he learned from professors Richard Brauer at Harvard, H. N. Gupta at Stanford and the University of Saskatchewan at Regina, and Friedrich ...
... algebra; William Waln and Hugh Barber in high-school geometry and trigonometry In later work, he learned from professors Richard Brauer at Harvard, H. N. Gupta at Stanford and the University of Saskatchewan at Regina, and Friedrich ...
Σελίδα 10
... Algebraic topology (8 subclasses) 57. Manifolds and cell complexes (7 subclasses) The algebraic geometry class is listed nearer other algebra classes than the rest of geometry. It's devoted to the analytic geometry of polynomial ...
... Algebraic topology (8 subclasses) 57. Manifolds and cell complexes (7 subclasses) The algebraic geometry class is listed nearer other algebra classes than the rest of geometry. It's devoted to the analytic geometry of polynomial ...
Σελίδα 13
... algebra for analytic geometry Equivalence relations and least upper bounds Familiar concepts and notation Numbering results, exercises, and figures Symbol for terminating proofs Exercises and projects Bibliography Historical and ...
... algebra for analytic geometry Equivalence relations and least upper bounds Familiar concepts and notation Numbering results, exercises, and figures Symbol for terminating proofs Exercises and projects Bibliography Historical and ...
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