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 91.
Σελίδα iii
James T. Smith. Methods of Geometry James T. Smith San Francisco State University A Wiley-Interscience Publication JOHN WILEY 8r SONS, INC. New York - Cnichester - Weinheim - Brisbane 0 Singapore - Toronto This book is printed on acid ...
James T. Smith. Methods of Geometry James T. Smith San Francisco State University A Wiley-Interscience Publication JOHN WILEY 8r SONS, INC. New York - Cnichester - Weinheim - Brisbane 0 Singapore - Toronto This book is printed on acid ...
Σελίδα iv
... Methods of geometry / James T. Smith. p. cm. “A Wiley-lnterscience publication." Includes bibliographical references. ISBN 0—47l-25183-6 (alk. paper) I. Geometry. I. Title. QA44S.SS7 2000 516—dc2l 98-10306 1098765432] This book is ...
... Methods of geometry / James T. Smith. p. cm. “A Wiley-lnterscience publication." Includes bibliographical references. ISBN 0—47l-25183-6 (alk. paper) I. Geometry. I. Title. QA44S.SS7 2000 516—dc2l 98-10306 1098765432] This book is ...
Σελίδα vii
... method 26 Euclid's Elements 29 Coordinate geometry 33 Foundation problem 35 Parallel axiom 37 Firm foundations 39 Geometry as pure mathematics 42 Exercises and projects 50 53 Incidence geometry 55 Ruler ... Methods of Geometry: Contents.
... method 26 Euclid's Elements 29 Coordinate geometry 33 Foundation problem 35 Parallel axiom 37 Firm foundations 39 Geometry as pure mathematics 42 Exercises and projects 50 53 Incidence geometry 55 Ruler ... Methods of Geometry: Contents.
Σελίδα 13
... methods to open up several fields, including a few aspects of analytic geometry and trigonometry used in more advanced courses but rarely covered adequately in introductory ones. A new approach starts with chapters 6 and 7: the geometry ...
... methods to open up several fields, including a few aspects of analytic geometry and trigonometry used in more advanced courses but rarely covered adequately in introductory ones. A new approach starts with chapters 6 and 7: the geometry ...
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 |
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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