Mathematical Omnibus: Thirty Lectures on Classic Mathematics

Dmitry Fuchs, Serge Tabachnikov

American Mathematical Society | 465 páginas | PDF | 7 Mb
Versão draft

links diretos:

math.psu.edu

thiqaruni.org

The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an award-winning artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.

Mathematicians Delight

W.W. Sawyer

1943 | Harmondsworth, Middlesex, Eng., New York, Penguin Books

online: archive.org

Penguin Books | 1969 | 238 páginas | PDF | 12,8 Mb

depositfiles.com

An introduction to mathematics which starts with simple arithmetic and algebra and proceeds through to graphs, logarithms, trigonometry to calculus and imaginary numbers. The author, who is internationally renowned for his innovative teaching methods, offers insights into the pleasures of mathematics that will appeal to readers of all backgrounds.

An Introduction to Mathematics

Alfred North Whitehead

1911 | London : Williams & Northgate: [New York, H. Holt 

online:  archive.org

This distinguished little book is a brisk introduction to a series of mathematical concepts, a history of their development, and a concise summary of how today's reader may use them.

The Survival of a Mathematician: From Tenure to Emeritus

Steven G. Krantz

American Mathematical Society | 2008 | 310 páginas | PDF

versão draft - online:
math.wustl.edu
141.105.33.55

A successful mathematical career involves doing good mathematics, to be sure, but also requires a wide range of skills that are not normally taught in graduate school. The purpose of this book is to provide guidance to the professional mathematician in how to develop and survive in the profession. There is information on how to begin a research program, how to apply for a grant, how to get tenure, how to teach, and how to get along with one's colleagues. After tenure, there is information on how to direct a Ph.D. student, how to serve on committees, and how to serve in various posts in the math department. There is extensive information on how to serve as Chairman. There is also material on trouble areas: sexual harassment, legal matters, disputes with colleagues, dealing with the dean, and so forth. One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration. In short, this is a survival manual for the professional mathematician--both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide.