Kiselev’s Geometry / Book I. Planimetry has 22 ratings and 3 reviews. Charles said: This work by Kiselev was first published in and it remained a st. Hi all. Does somebody know any source from where we can get the solutions to exercises of this book? Or at least, we could get proper hints or. Kiselev’s Geometry. Book I. Planimetry, by A. P. Kiselev Adapted from Russian by Alexander Givental ISBN viii+ pp., in x in, hardcover.
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The only outside references come at the upper storey, as for example, when he only mentions Gauss’ constructibility theorem for regular polygons without proof. The friendliest, high quality science and math community on the planet!
Aug 11, 4. First published in by A.
Kiselev’s Geometry / Book I. Planimetry by A.P. Kiselev
I’ve setup a free wordpress blog on this that’s dedicated mainly to this book. For example, “the sums of two congruent line segments are non congruent to what? The book is very much self-contained. The friends I polled who took geometry in the early s all used Kiselev’s book with an exception of experimental classes in special math schools that used the book by Fetisov.
Kiselev’s Geometry / Book I. Planimetry
Renny Karina added it Sep 05, Jason rated it it was amazing Jun 16, Amazon Rapids Fun stories for kids on the go. The book covers a bit of trigonometry also detracting from the geometry course today, precisely because trigonometry is usually revisited in algebra II and precalculus, which causes unnecessary extra material in the geometry course and unnecessary and continual review in higher level courseswhich is not sufficient for calculus but a good material and an excellent way to show some of the properties of similar figures, or in this case similar triangles.
East Dane Designer Men’s Fashion. Discussion about math, puzzles, games and fun. Does it mean this:. It is meant to be a manual for grade students but ikselev be used by anyone who needs a thorough understanding of Euclidian geometry. Allthough it seemed simple at the first look of the planimtry, I found out I was sincerely lost.
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In particular, he proves p. You just get used to them. I don’t know if I’m allowed to share it here or not, but I’ve it on my public profile here. Kiselev also goes to some length to clarify general notions, like theorem and axiom, explains the relation between a theorem and its converse, inverse, kislev contrapositive statements, and proof by contradiction.
Kiselev’s Geometry Book 1, Planimetry I removed this myself. Great content and very helpful virtual classroom. If a math book has any nonsense piece then I know the author must be an amateur or an “expert” and I reject it right away.
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Note that this book only covers 2D geometry. Fetisov while illustrating an erroneous proof notes dejectedly that the diagram planimetfy similar to the one used in an officially “approved book”. In the Translator’s Foreword, Professor Givental mentions three virtues of a good textbook precision, simplicity, conciseness formulated yet by Kiselev himself, and adds a fourth one competence in the subject.
I want to start with a ‘clean slate’ in math, because I’ve hated it in school, and now i’m falling in love planimdtry it. Thank you for that resource, seems to be a very good read! Certainly library shelves must make a place for Kiselev’s classic!
Geometric objects are introduced each in its time, not at the beginning of the book. The book is also good for experience with proofs, another topic which is slowly disappearing in all but its simplest form from high school curricula. I have to mention that Prof. Vanio rated it it was amazing Aug 27, Often in a challenging geometry problem, facing plankmetry unrelated information, a student needs to connect planimettry conditions to known facts, to explore different approaches, to rely on purely logical deduction, and finally to reach the goal and build chains of reasoning using mathematical language.
This comes after a thorough discussion of similarity pp. Unless you can spot any others. Kiselev’s Geometry Book 1, Planimetry Hi all. I think the title of the book is not relevant for searches, unless you know who Kinselev is, that is why I couldn’t find it earlier. And I don’t want to read a “two-column story”. By Alexandre Borovik, the author of ”Mathematics under the microscope” –Homeschoolmath blog. Atom topic feed Powered by FluxBB.