![]() That being said, I'm still a novice in comparison to many of the seasoned Geometers out there(or those who have studied geometry in depth) ![]() Obviously I am not asking for a book introducing me to the extreme basics in Euclidean geometry. In EGMO, the problems are clearly meant for those who go to IMO and math olympiads, which is not what I'm looking for, while in Dan Pedoe's book, the exercises are scant and few.Ī note about the difficulty of the books: The geometry taught in high school is boring, SAT style-dry and does not vary in both concepts and problem type. There's much more, but in general I want a somewhat comprehensive, encyclopedic text on the different theorems and techniques(without being pedantic and overtly wordy, and having enough exercises)įor reference two books whose chapters catalog and encompass what I am looking for, but are inaccessible for my current level are Evan Chen's "Euclidean Geometry in Mathematical Olympiads",Īnd Dan Pedoe's "A comprehensive course in geometry". Hopefully the book contains a complete treatise that connects concepts and techniques, while also managing workable problems Preferred style and difficulty of the materialįor example, some geometric techniques I want to learn about include homotheties, spiral similarity, inversion, projective transformations(I know this lies out the scope somewhat), complete quadrilaterals. It would be highly helpful if the book were more problem oriented, teaching specific techniques in solving geometry problems That being said, the book should not just be a collection of problems without any exposition or explanations. I do not want an book with an axiomatic treatment style for right now. Specifically, I'm searching for a recommendation in Euclidean geometry/Non-Euclidean Geometry, whether it is a book, a pdf, or a website tutorial. What I want is a personalized recommendation, (not a generalized recommendation), tailored to my level of knowledge and interest.įirst off, I am an incoming freshman going to college, and am majoring in physics, however I am interested in eventually double majoring in mathematics as well, and one area of mathematics I would really like to choose as an area of study is geometry. But I do notice similar sounding questions have been asked several times, so I want to be highly specific so as to separate this question from other similar questions, so that it does not get tagged as a duplicate or lacks specificity to the point it is vague. So this is the first time I'm using the forum here to ask a question, although I've visited this site a couple of times already. ![]() Sure that I will be learning and accessing the right material, andĪlso that which is more tailored to my interests Request for Book Recommendations: Background introductionĭisclaimers: If the tone below is a little arrogant I apologize beforehand, but I'm being very specific here because I want to make
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