TY  - BOOK
AU  - Gerstein,Larry J.
TI  - Introduction to mathematical structures and proofs
T2  - Textbooks in mathematical sciences
SN  - 9783540780441
U1  - 511.3 22
PY  - 1996///]
CY  - New York
PB  - Springer, Jones and Bartlett Publishers
KW  - Logic, Symbolic and mathematical
KW  - BUEsh
KW  - GGEN
KW  - March2020
KW  - Reading book
N1  - Includes index
N2  - As a student moves from basic calculus courses into upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, and so on, a "bridge" course can help ensure a smooth transition. This is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor--and the flexible thinking--required to prove a nontrivial result. In short, this book seeks to enhance the mathematical maturity of the reader. The new material in this second edition includes a section on graph theory, several new sections on number theory (including primitive roots, with an application to card-shuffling), and a brief introduction to the complex numbers (including a section on the arithmetic of the Gaussian integers). Solutions for even numbered exercises are available on springer.com for instructors adopting the text for a course
UR  - http://www.loc.gov/catdir/enhancements/fy0815/95044881-d.html
UR  - http://www.loc.gov/catdir/enhancements/fy0815/95044881-t.html
ER  -