A Collection of Problems on Hyperbolas and Special Polygonal Numbers


Book Description

This book contains a reasonable collection of problems on hyperbolas represented by binary quadratic Diophantine equations. From the integer solutions of each of the above equations, the relations among special polygonalnumbers are obtained. The formal prerequisites for the material are minimal. It is hoped that these problems may create an interest in the hearts of researchers and lovers of mathematics who approach it with pure love for its beauty. There is no wonder that binary quadratic Diophantine equations in connection with polygonal numbers are beautiful and tricky enough to keep a mathematician occupied for entire life.







Problem-Solving Strategies


Book Description

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.




Mathematics by Experiment


Book Description

This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational P




Embracing Mathematics


Book Description

This "alternative textbook" integrates pedagogy and content exploration in ways that are unique in mathematics education, provoking new ideas for making mathematics education meaningful to teachers at all levels as well as their students.










Index to Mathematical Problems, 1980-1984


Book Description

A compendium of over 5,000 problems with subject, keyword, author and citation indexes.




Connections Maths 9


Book Description

The Connections Maths 9 Stage 5. 2 / 5. 1 Teaching and Assessment Boo k includes many resources that makes using the Connections series the mo st effective and user-friendly series available. The resources in this book include: a teaching program referenced to the st udent book syllabus notes detailed guidance on teachin g each topic outcomes clearly stated and cross-referenced to th e student books assessment ad reporting strategies ove rview and summary of every chapter and exercise in the student book relevant internet sites and further research questions all this material is also provided on CD-ROM to allow for printing and cust omising




The IMO Compendium


Book Description

"The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.