download Textbooks The Stanford Mathematics Problem Book: With Hints and Solutions (Dover Books on Mathematics) Author George Polya – Andy-palmer.co.uk
I recommend it There s some cool problems in here I d give it a whirl. This Volume Features A Complete Set Of Problems, Hints, And Solutions Based On Stanford University S Well Known Competitive Examination In Mathematics It Offers Students At Both High School And College Levels An Excellent Mathematics Workbook Filled With Rigorous Problems, It Assists Students In Developing And Cultivating Their Logic And Probability Skills Edition You would expect a book with this pedigree to be good, and it is.From 1946 to 1965, Stanford University gave high school students a chance to win a scholarship by taking a difficult math test, with just four questions This book collects those questions, and their answers The subject matter varies, including algebra, geometry, and trigonometry.Most notably, the questions try to measure not achievement, but aptitude They require a sound foundation of learning, but also original thinking or a flash of insight The first question in each set is easiest a sharp high school student would probably have a reasonable shot at answering it Then the questions get difficult I found it to be a fascinating and enjoyable collection, even when that flash of insight eluded me Months after I bought it, I still open it occasionally and try a new problem. Fine on computer but the problems on the Kindle Paperwhite are too small to read Increasing the font size works for the general text but not for the actual problems So almost unusable on the Kindle. A great way to spend some time while standing in line or waiting for an appointment. Es algo b sico pero est muy bien explicado Los ejercicios tienen o bien una demostraci n o bien unas indicaciones para su resoluci n. The difficulty with rating a book like this is deciding what criteria should be used to rate the book I rated the book as 4 stars because of my reverence for George Polya Polya was a great teacher and I have read all of his books Unfortunately, this book does not teach the art of problem solving It is simply a collection of interesting and challenging mathematics problems, along with solutions The problems are very good The difficulty of the problems depends on your level of experience and knowledge I have a Ph.D in mathematics, so I find the problems to be interesting and mildly challenging A novice, or someone who is struggling to learn mathematics, may find the problems to be impossibly difficult And when you read the solutions, you might feel stupid, because there is little chance that you would have the genius required to invent the solution The book omits the human exploratory process of how to actually solve a mathematics problem Most problem books and research papers omit all the pain, suffering, and hard work that goes between the problem statement and the seemingly miraculous solution This book is a really great collection of problems, but it will NOT teach you how to create, invent, or solve these kinds of problems If you want to learn that, I suggest that you read Polya s How to Solve It, or Polya s Mathematics and Plausible Reasoning To solve mathematics problems, you need knowledge, experience, intuition, passion, hard work, good luck, and a PROCESS that works This book has none of those things Read the other two books of Polya s.