Journey Into Mathematics: An Introduction to Proofs Contributor(s): Rotman, Joseph J. (Author) |
|
ISBN: 0486453065 ISBN-13: 9780486453064 Publisher: Dover Publications OUR PRICE: $14.40 Product Type: Paperback - Other Formats Published: December 2006 Annotation: This 3-part treatment begins with the mechanics of writing proofs, proceeds to considerations of the area and circumference of circles, and concludes with examinations of complex numbers and their application, via De Moivre's theorem, to real numbers. "I recommend this as a textbook or supplemental textbook." -- Brian Rogers, The Mathematical Association of America. 1998 edition. |
Additional Information |
BISAC Categories: - Mathematics | Logic - Mathematics | Mathematical Analysis |
Dewey: 511.3 |
Series: Dover Books on Mathematics |
Physical Information: 0.49" H x 5.22" W x 8.44" (0.58 lbs) 256 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |