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.

Plane Geometry

Edward Rutledge Robbins

New York ; Cincinnati : American Book Company | 1915

online:  archive.org

Geometry have been :(a) To present a book that has been written for the pupil. The object sought in the study of Geometry is not solely to train the mind to accept only those statements as truth for which convincing reasons can be provided, but to cultivate a foresight that will appreciate both the purpose in making a statement and the process of reasoning by which the ultimate truth is established. Thus, the study of this formal science should develop in the pupil the ability to pursue argument coherently, and to establish one truth by the aid of other known truths, in logical order. The more mature members of a class do not require that the reason for every declaration be given in full in the text; still, to omit it altogether, wrongs those pupils who do not know and cannot perceive the correct reason. But to ask for the reason and to print the paragraph reference meets the requirements of the various degrees of intellectual capacity and maturity in every class. The pupil who knows and knows that he knows need not consult the paragraph cited ;the pupil who does not know may learn for himself the correct reason by the reference. It is obvious that the greater progress an individual makes in assimilating the subject and in entering into its spirit, the less need there will be for the printed reference.

Recreations in Mathematics and Natural Philosophy

Jacques Ozanam

1840

online:  archive.org

842 páginas | DJVU | 35,7 Mb

filepost.com

filepost.com

4shared.com

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

What are the Odds?: Understanding the Risks : Education Kit for Stage 4 & 5 Students

Sue Thomson

Sydney : Powerhouse Museum | 2004 | 42 páginas | PDF

online: powerhousemuseum.com

Contents

Using What are the odds? Understanding the risks education kit in your teaching .... 4
Syllabus links ...... 6
Mathematics and games of chance: a snapshot ... 8
Calculating probabilities ... 10
Poker machines ......... 12
Scratch lottery tickets: Jackson’s story .........17
Scratch lotteries ....... 19
Internet gambling: Michael’s story .....22
Lotto probability ...............24
Calculating the odds doesn’t always stop gambling: Ada Lovelace ..... 27
Horseracing .......... 29
Gambling and social issues: try this quick quiz .....32
Budgets and gambling ........... 34
The costs of problem gambling ............... 36
G-line NSW ................. 37
Answers ...... 38

Circle in a Box

Sam Vandervelde

AMS | 2009 | 185 Páginas | PDF

versão draft

minerva.msri.org (link direto - incompleto - falta apêndice D)

PDF | 6 Mb
uploading.com

4shared.com

Math circles provide a setting in which mathematicians work with secondary school students who are interested in mathematics. This form of outreach, which has existed for decades in Russia, Bulgaria, and other countries, is now rapidly spreading across the United States as well. The first part of this book offers helpful advice on all aspects ofmath circle operations, culled from conversations with over a dozen directors of successful math circles. Topics include creative means for getting the word out to students, sound principles for selecting effective speakers, guidelines for securing financial support, and tips for designing an exciting math circle session. The purpose of this discussion is to enable math circle coordinators to establish a thriving group in which students can experience the delight of mathematical investigation. The second part of the book outlines ten independent math circle sessions, covering a variety of topics and difficulty levels. Each chapter contains detailed presentation notes along with a useful collection of problems and solutions. This book will be an indispensable resource for any individual involved with a math circle or anyone who would like to see one begin in his or her community. Sam Vandervelde teaches at St. Lawrence University. He launched the Stanford Math Circle and also writes and coordinates the Mandelbrot Competition, a math contest for high schools.

Link para a página do projeto: http://www.mathcircles.org/

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.

The Proof Is in the Pudding: The Changing Nature of Mathematical Proof

Steven G. Krantz

Springer-Verlag | 2010 | 240 Páginas | PDF | 3,9 Mb

filepost.com

Versão draft - online: math.wustl.edu

Krantz takes the reader on a journey around the globe and through centuries of history, exploring the many transformations that mathematical proof has undergone from its inception at the time of Euclid and Pythagoras to its versatile, present-day use. The author elaborates on the beauty, challenges and metamorphisms of thought that have accompanied the search for truth through proof. The first two chapters examine the early beginnings of concept of proof and the creation of its elegant structure and language, touching on some of the logic and philosophy behind these developments. The history then unfolds as the author explains the changing face of proofs. The more well-known proofs , the mathematicians behind them, and the world that surrounded them are all highlighted. Each story has its own unique past; there was often a philosophical, sociological, technological or competitive edge that restricted or promoted progress. But the author's commentary and insights create a seamless thread throughout the many vignettes Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to date. This is shown in noting some of the more prominent discussions currently underway, such as Gorenstein's effort to classify finance groups, Thomas Hale's resolution of the Kepler sphere-packing problem, and other modern tales. Most of the proofs are discussed in detail with figures and some equations accompanying them, allowing both the professional mathematician and those less familiar with mathematics to derive the same joy from reading this book.