The Green Book of Mathematical Problems (Dover Books on Mathematics) by Kenneth Hardy (PDF)

Description

This convenient volume offers a popular selection of 100 practice problems — with hints and solutions — for students preparing for undergraduate-level math competitions. The challenging brainteasers will also appeal to anyone interested in problems concerning real numbers, differential equations, integrals, polynomials, sets, and other mathematical topics. The hints are very helpful and the solutions are easy to follow. Questions drawn from geometry, group theory and linear algebra involve subjects ranging from multivariate integration to finite series to infinite sums and classical analysis. The only prerequisite is a high school-level background in mathematics. Problem-solvers at varying degrees of proficiency will find this treasury of top-notch numerical puzzles an invitation to hone their mathematical skills as well as a source of stimulating entertainment.

User’s Reviews

Editorial Reviews: From the Back Cover This handy volume offers a rich selection of 100 problems–with hints and solutions– specially chosen to aid students preparing for the William Lowell Putnam and other undergraduate mathematical competitions. However, these challenging brainteasers will be of interest to anyone interested in undergraduate level mathematical problems dealing with real numbers.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This handy book is a compilation of 100 practice problems, with separated chapters for both hints and solutions to each problem. The problems are especially chosen for students preparing for undergraduate math competitions, but these challenging brain-teasers will be of interest to anyone interested in math problems dealing with real numbers, differential equations, integrals, polynomials, sets and other mathematical topics.Problems solvers at varying degrees of proficiency will find here a treasury of top-notch numerical puzzles that will offer hour of stimulating entertainment, while challenging their problem solving skills.

⭐This book is not just for preparing to take the Putnam. More broadly, the problems are a great revision set. The subjects range from multivariate integration to finite series to infinite sums and classical analysis. There are also questions drawn from geometry, group theory and linear algebra. A formidable range. The level of difficulty is suitable for a third year undergraduate maths major.Interested readers may want to scope out the companion Red Book by the same authors.

⭐great

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