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Author: Ilka Agricola
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 257
ISBN-13: 0821843478
DOWNLOAD EBOOKPlane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries.
Author: Julius Petersen
Publisher:
Published: 1880
Total Pages: 86
ISBN-13:
DOWNLOAD EBOOKAuthor: Henry Africk
Publisher:
Published: 2004
Total Pages: 369
ISBN-13: 9780759341906
DOWNLOAD EBOOKAuthor: John Roe
Publisher: Clarendon Press
Published: 1993
Total Pages: 324
ISBN-13: 9780198534563
DOWNLOAD EBOOKThis textbook provides an introduction to Euclidean geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.
Author: O. Bottema
Publisher: Springer Science & Business Media
Published: 2008-12-10
Total Pages: 142
ISBN-13: 0387781315
DOWNLOAD EBOOKThis small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.
Author: Amol Sasane
Publisher: World Scientific Publishing Company
Published: 2015-12-07
Total Pages: 269
ISBN-13: 9789814740432
DOWNLOAD EBOOKThe book constitutes an elementary course on Plane Euclidean Geometry, pitched at pre-university or at advanced high school level. It is a concise book treating the subject axiomatically, but since it is meant to be a first introduction to the subject, excessive rigour is avoided, making it appealing to a younger audience as well. The aim is to cover the basics of the subject, while keeping the subject lively by means of challenging and interesting exercises. This makes it relevant also for students participating in mathematics circles and in mathematics olympiads. Each section contains several problems, which are not purely drill exercises, but are intended to introduce a sense of "play" in mathematics, and inculcate appreciation of the elegance and beauty of geometric results. There is an abundance of colour pictures illustrating results and their proofs. A section on hints and a further section on detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study.
Author: C. G. Gibson
Publisher: Cambridge University Press
Published: 2003
Total Pages: 194
ISBN-13: 9780521834483
DOWNLOAD EBOOKThis book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.
Author: C. G. Gibson
Publisher: Cambridge University Press
Published: 2001-05-17
Total Pages: 236
ISBN-13: 9780521011075
DOWNLOAD EBOOKThis book is an introductory text on the differential geometry of plane curves.
Author: Victor Klee
Publisher: American Mathematical Soc.
Published: 2020-07-31
Total Pages: 352
ISBN-13: 1470454610
DOWNLOAD EBOOKVictor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
Author: Klaus Hulek
Publisher: American Mathematical Soc.
Published: 2003
Total Pages: 225
ISBN-13: 0821829521
DOWNLOAD EBOOKThis book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a one-semester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.
