CK-12 Geometry - Second Edition, Volume 2 Of 2 by CK-12 Foundation

By CK-12 Foundation

CK-12’s Geometry - moment version is a transparent presentation of the necessities of geometry for the highschool pupil. subject matters comprise: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & sector, quantity, and changes. quantity 2 contains the final 6 chapters: Similarity, correct Triangle Trigonometry, Circles, Perimeter and sector, floor region and quantity, and inflexible variations.

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Embeddings and Immersions (Translations of Mathematical by Masahisa Adachi

By Masahisa Adachi

This booklet covers basic thoughts within the concept of $C^{\infty }$-imbeddings and $C^{\infty }$-immersions, emphasizing transparent intuitive knowing and containing many figures and diagrams. Adachi begins with an creation to the paintings of Whitney and of Haefliger on $C^{\infty }$-imbeddings and $C^{\infty }$-manifolds. The Smale-Hirsch theorem is gifted as a generalization of the category of $C^{\infty }$-imbeddings through isotopy and is prolonged by way of Gromov's paintings at the topic, together with Gromov's convex integration concept. ultimately, as an program of Gromov's paintings, the writer introduces Haefliger's type theorem of foliations on open manifolds. additionally defined here's the Adachi's paintings with Landweber at the integrability of just about advanced buildings on open manifolds. This ebook will be a good textual content for upper-division undergraduate or graduate classes.

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Thirteen Books of Euclid's Elements. Books X-XIII by Thomas L. Heath

By Thomas L. Heath

After learning either classics and arithmetic on the collage of Cambridge, Sir Thomas Little Heath (1861-1940) used his time clear of his activity as a civil servant to submit many works just about historic arithmetic, either well known and educational. First released in 1926 because the moment version of a 1908 unique, this publication comprises the 3rd and ultimate quantity of his three-volume English translation of the 13 books of Euclid's components, overlaying Books Ten to 13. This exact textual content may be of price to somebody with an curiosity in Greek geometry and the historical past of arithmetic.

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The First Six Books of The Elements of Euclid: and by John Casey LL.D.

By John Casey LL.D.

This version of the weather of Euclid, undertaken on the request of the principals of a few of the major schools and colleges of eire, is meant to provide a wish a lot felt through lecturers at present day the creation of a piece which, whereas giving the unrivalled unique in all its integrity, might additionally comprise the trendy conceptions and advancements of the component to Geometry over which the weather expand. A cursory exam of the paintings will exhibit that the Editor has long gone a lot additional during this latter course than any of his predecessors, for will probably be came across to comprise, not just extra real topic than is given in any of theirs with which he's familiar, but in addition a lot of a different personality, which isn't given, as far as he's conscious, in any former paintings at the topic. the nice extension of geometrical equipment lately has made this type of paintings a need for the coed, to allow him not just to learn with virtue, yet even to appreciate these mathematical writings of contemporary occasions which require a correct wisdom of common Geometry, and to which it's actually the easiest advent.

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