Early life[ edit ] Daniel Pedoe was born in London in , the youngest of thirteen children of Szmul Abramski, a Jewish immigrant from Poland who found himself in London in the s: he had boarded a cattleboat not knowing whether it was bound for New York or London, so his final destination was one of blind chance. The family name requires some explanation. The father, Abramski, was one of the Kohanim , a priestly group, and once in Britain, he changed his surname to Cohen. Gibbins and a textbook by Godfrey and Siddons. He attended lectures by Ludwig Wittgenstein and Bertrand Russell , although he was unimpressed by the teaching style of either great man. Geometry became his main interest and, advised by Henry Baker , he started work on his doctorate and published several papers.
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Product Description "A lucid and masterly survey. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets.
Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and to help students enjoy geometry.
In addition, three appendices deal with Euclidean definitions, postulates, and propositions; the Grassmann-Pluecker coordinates of lines in S3, and the group of circular transformations.
Among the outstanding features of this book are its many worked examples and over exercises to test geometrical understanding. Customer Book Reviews Clarity and Simplicity By Skymariner on Aug 24, This text - comprised of detailed accounts of Euclidean, Affine, and Projective geometries, a thorough discussion of the Poincare model of hyperbolic geometry, and a motivating chapter on Algebraic geometry - is remarkable for its clarity and simplicity. Very little is initially expected of the reader - a sound knowledege of linear algebra, complex arithmetic and trigonometry - and the proof style is not too formal.
Throughout the text the author emphasizes the use of basic algebraic techniques as an aid to finding clear and simple proofs. In more than one case a result is proved several times, each proof illustrating a different technique.
In the first chapter, the utility of the vector approach is highlighted by using vector arithmetic, inner-products and exterior algebra to prove several classic theorems of plane geometry. In later chapters elementary group theory, Moebius transformations and linear algebra are used extensively in the discussions of the mappings of the Euclidean plane, of the mappings of the inversive plane, and of projective geometry respectively. Basically, this is a good, detailed undergraduate introduction to geometry.
Ohara on Jul 01, I would not recommend this as a first book. Another drawback to this book is that it has no answers to the exercises. There are some good written introductory books. It depends on your goals. The more I read this book, the more and more I am coming to like Geometry and appreciate the subject. It is an advanced text and you will need some mathematical maturity and experience I think to study it even though it has "Introduction" in the Title.
Both these books are pretty good but more expensive. You can get used ones, even the Dover books, for a good price or an older edition. However, some are better written and pedagogically friendlier than others.
Many of the exercises are writing proofs of the Theorems in the text, which could explain why there are no answers. Perhaps this book would be good for some as a second or third book.
Being a Russian textbook, its level of "Introductory" and "Elementary" is not the same as in the USA or some other countries. However, "Introduction" is a classic Geometry book as is the "Revisited" book for advanced study. I would start with the "Revisited" book before his "Intro" book. They are advanced books in my view and may be a good second or third book. Yet the books cited above do just as well and are more student friendly. So it is limited in its scope in my view, with much "holding of the breath" needed and time to work out the extremely challenging exercises at times.
Not something really for someone who wants to be practical, concrete, and remain at an advanced secondary school level. There are some good books on this as well. Dover has all thirteen books in three volumes. Do some shopping: there are many geometry books, even advanced ones to sample. Pick one that fits your needs and goals that you can learn from and that is not just pompous. A Customer on May 07, A wonderful book, value for money!
If you are learning geometry for interest or to prepare for competitions such as IMO, then this book is for you! The theorems and diagrams are complete and straight to the point. The author presents the informations in a succinct manner; thus it is easy for one to follow and comprehend. I guess it may be one of the most complete book on geometry in the market! It was quite helpful at times in giving second explanations of topics covered in class at a price significantly less than the class textbook.
The book is comprehensive, and reasonably well written for a math book. Inversions are well covered, and one could use this information to map from the disc model to the upper half plane model, so this was not a serious omission.
I have no regrets about buying this book. Misleading Title By Cc on Aug 06, An interesting book covering multiple topics not usually contained in the same book, this goes quite well logically from Euclidean Geometry to natural generalizations in affine and projective geometry. To finish it off, we have one of the more classical non-euclidean geometries through a discussion nowhere near complete, though of hyperbolic geometry.
It is an easily accessible and interesting read for a prospective math education major. It is of little interest, however, to any other audience. My biggest issue, though clearly seen if one were to use the table of contents, is that this is not comprehensive at either the college or high school levels. It also assumes familiarity with linear algebra, complex numbers and trigonometry.
Moreover, the material moves quickly and leaves some of its developments as exercises as opposed to actually fully developing and discussing the material.
A developed discussion of elliptic and spherical geometry is also missing. Another issue I have with this book is that its coverage of Euclidean geometry is rather boring and covers few of the more classical and widely used theorems in math contests. Pedoe seems to be halfway between going towards a traditional classical algebraic geometry approach and the use of analytic methods, which is usually frowned upon by the "elite" and "purists" as being impure, ugly, and lacking that special quality touted as "mathematical maturity.
This book is much more than the average person will ever need. A simpler approach for people like me who just want to prepare for calculus is Geometry and Trigonometry for Calculus by Peter H. Book Review By Nathan on Oct 06, This is a good geometry book far anyone looking to expand on their typical introduction geometry class in college or a college graduate in Mathematics. It does not read like a textbook, it appears the author already assumes you are a Math major or have already taken other geometry courses.
The only downside is that it reads like an encyclopedia and does less "teaching" that a regular textbook would do. Makes a great reference though! Advanced text only By Tim Josling on Jan 11, I bought this as a reference for the geometry I already knew but had largely forgotten.
I found it useless because its coverage of Euclidian geometry was scant and the approach is quite unusual and did not relate to the geometry courses I had done.
Possibly suited to someone who wants to go on to advanced geometry. Comprehensive Yummy! By Jude on Jun 15, Further studies in methicals and chemistries, I am enjoying this read!
It runs as smooth as the fastest most colorful train I will ever race. Even gives those cars new perspective. The book is not in a format that makes it quick to study and understand geometric concepts for the non-math major. In my opinion of course. I loved the use of complex numbers in developing the theory of isometries and similarities in the Euclidean plane. The representation of circles as points in 3-space yields interesting insights into coaxal systems.
The development of projective geometry, in n dimensions and then specializing to the projective plane and projective 3-space, with conics in the former and quadric surfaces in the latter, is an interesting blend of the synthetic and the analytic or "algebraic" as Pedoe calls it.
I especially appreciated the discussion of 3-space and quadrics, since so many treatments limit themselves to conics in the plane. This book is not for the novice. The exercises are excellent! What a wonderful choice of interesting and enlightening results. No dreary "working out the details of the theory" here!
There are two distinguishable differences between a fundamentals-type book vs. Fundamentals typically go more in depth than a comprehensive book. If you are looking for a book that assumes you understand some higher topics in mathematics i. This is not a "Master Math: Geometry" type book. I bought this book because of the section on projective geometry, but I also wanted a book to reference other topics as well.
Very good book for geometrist mathematicians By Sensor2 on Mar 28, Very good book for geometrist mathematicians! Try it first, after you reviewed the chapter on inversion!! Familiar ground. By Mark Lajoie on Dec 17, This is pretty good, analytic geometry through vectors. Not enough examples and problems for an introduction, I judge, but it is a nice review of the subject. Amazing intro to algebraic geometry By Physics Jock on May 14, It starts off in the geometry of the complex plane, and goes deeper.
This is a 3rd year book requiring linear algebra. For 5 bucks, this is definitely a must-have. The text is definitely not designed as a refresher of By Brian Wood on Sep 25, The text is definitely not designed as a refresher of high school Geometry. The text, while covering basic principles of proofs, does introduce a substantial amount of new material applicable for the study of higher math.
I bought this book hoping to gain a deeper understanding of why Euclid made the axioms he made, you know straight edge and compass but no ruler.
And how he went to great lengths to prove things that would be obvious had he introduced the concept of "area". School textbook By Murlonae on Oct 23, worked as needed. Great author!! By Bookgeek on May 15, Great for review!! This particular edition is in a Paperback format.
Geometry: A Comprehensive Course (Dover Books on Mathematics)
Geometry: A Comprehensive Course
Geometry: A Comprehensive Course
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