Author | Pugh, Charles Chapman. author |
---|---|

Title | Real Mathematical Analysis [electronic resource] / by Charles Chapman Pugh |

Imprint | New York, NY : Springer New York : Imprint: Springer, 2002 |

Connect to | http://dx.doi.org/10.1007/978-0-387-21684-3 |

Descript | XII, 440 p. online resource |

SUMMARY

Was plane geometry your favorite math course in high school? Did you like proving theorems? Are you sick of memorizing integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past presentations of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians such as Dieudonne, Littlewood and Osserman. This book is based on the honors version of a course which the author has taught many times over the last 35 years at Berkeley. The book contains an excellent selection of more than 500 exercises

CONTENT

1 Real Numbers -- 2 A Taste of Topology -- 3 Functions of a Real Variable -- 4 Function Spaces -- 5 Multivariable Calculus -- 6 Lebesgue Theory

Mathematics
Functions of real variables
Mathematics
Real Functions