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.

Chance And Choice By Card Pack And ChessBoard Vol I

 Hogben Lancelot M.A


Max Parrish And Co | 1950 


online: archive.org

Coordinate Geometry

Luther Pfahler Eisenhart 

Dover Publishing Inc. | 1939 |

online: archive.org

A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises.

College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle

Nathan Altshiller-Court

New York : Barnes & Noble | 1952

online: archive.org

Preface -- To the instructor -- To the student -- Geometric constructions -- Similitude and homothecy -- Properties of the triangle -- The quadrilateral -- The Simson line -- Transversals -- Harmonic division -- Circles -- Recent geometry of the triangle

Dover Publications | 2009 | 336 páginas | PDF | 31 Mb

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Translated into many languages, this book has been the standard university-level text for decades. Revised and enlarged by the author in 1952, it offers today's students exercises in construction problems, similitude, and homothecy, properties of the triangle and the quadrilateral, harmonic division, and circle and triangle geometry.