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📒Geometry I ✍ Marcel Berger
✏Geometry I Book Summary : Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.
📒First Lessons In Geometry ✍ Thomas Hill
✏First Lessons in Geometry Book Summary :
📒Geometry ✍ Serge Lang
✏Geometry Book Summary :
📒Euclidean Geometry In Mathematical Olympiads ✍ Evan Chen
✏Euclidean Geometry in Mathematical Olympiads Book Summary : This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains as selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads, or for teachers looking for a text for an honor class.
📒Geometry Of Surfaces ✍ John Stillwell
✏Geometry of Surfaces Book Summary : The geometry of surfaces is an ideal starting point for learning geometry, for, among other reasons, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. It includes exercises and informal discussions.
📒Euclidean And Non Euclidean Geometry International Student Edition ✍ Patrick J. Ryan
✏Euclidean and Non Euclidean Geometry International Student Edition Book Summary : This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
📒Geometry Applied To The Mensuration Of Lines Surfaces Solids Heights And Distances ✍ B[enjamin] Franklin Callender
✏Geometry Applied to the Mensuration of Lines Surfaces Solids Heights and Distances Book Summary :
📒Geometry Euclid And Beyond ✍ Robin Hartshorne
✏Geometry Euclid and Beyond Book Summary : This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
📒Active Geometry ✍ A. David Thomas
✏Active Geometry Book Summary : Written by a nationally known mathematics educator, this lab manual provides activities for students using free/shareware software tools. Active Geometry offers inquiry-based, student-centered, technology-rich topical investigations into the study of geometry. The tools that Thomas includes leads students to construct, observe, conjecture, and debate their thinking. After completing the labs, students are ready for and appreciative of analytic explanations of geometric concepts.
📒Applied Descriptive Geometry ✍ Kathryn Holliday-Darr
✏Applied Descriptive Geometry Book Summary : Excellent for engineering and technology students, this text goes far beyond instruction in standard orthographic projection to clarify all the tools of descriptive geometry--and how they apply to individual fields. The text places special emphasis on applications in all the various engineering disciplines: mechanical, plastics, industrial, piping, aerospace, marine, civil, and structural. As a result, students quickly grasp the value of descriptive geometry as they apply the tools and techniques to practical problems. By organizing information around the field's central concept--line of sight--the presentation facilitates understanding in a way unmatched by any other text. The worktext format provides students with all the resources they need--text and workbook--under one cover.ALSO AVAILABLEINSTRUCTOR SUPPLEMENTS CALL CUSTOMER SUPPORT TO ORDER Instructor's Guide, ISBN: 0-7668-0118-7Keywords: Descriptive Geometry