epub download, facebook, pocket, iOS, Joseph J. Rotman free pdf,download book, download ebook, mobi, iPhone, ebook pdf, download epub, free pdf, for PC, Read online, epub download, paperback, fb2, zip, download torrent, free ebook, paperback Journey into Mathematics: An Introduction to Proofs by Joseph J. Rotman iPhone,for mac, download pdf, book review, rariPad, Journey into Mathematics: An Introduction to Proofs fb2,kindle, ebook,
Students learn how to read and write proofs by actually reading and writing them, asserts author Joseph J. Rotman, adding that merely "reading" about mathematics is no substitute for "doing" mathematics. In addition to teaching how to interpret and construct proofs, Professor Rotman's introductory text imparts other valuable mathematical tools and illustrates the intrinsic beauty and interest of mathematics. "Journey into Mathematics "offers a coherent story, with intriguing historical and etymological asides. The three-part treatment begins with the mechanics of writing proofs, including some very elementary mathematics--induction, binomial coefficients, and polygonal areas--that allow students to focus on the proofs without the distraction of absorbing unfamiliar ideas at the same time. Once they have acquired some geometric experience with the simpler classical notion of limit, they proceed to considerations of the area and circumference of circles. The text concludes with examinations of complex numbers and their application, via De Moivre's theorem, to real numbers.