Problem-Solving Through Problems by Loren C. LarsonThe purpose of this book is to isolate and draw attention to the most important problem-solving techniques typically encountered in undergradu ate mathematics and to illustrate their use by interesting examples and problems not easily found in other sources. Each section features a single idea, the power and versatility of which is demonstrated in the examples and reinforced in the problems. The book serves as an introduction and guide to the problems literature (e.g., as found in the problems sections of undergraduate mathematics journals) and as an easily accessed reference of essential knowledge for students and teachers of mathematics. The book is both an anthology of problems and a manual of instruction. It contains over 700 problems, over one-third of which are worked in detail. Each problem is chosen for its natural appeal and beauty, but primarily to provide the context for illustrating a given problem-solving method. The aim throughout is to show how a basic set of simple techniques can be applied in diverse ways to solve an enormous variety of problems. Whenever possible, problems within sections are chosen to cut across expected course boundaries and to thereby strengthen the evidence that a single intuition is capable of broad application. Each section concludes with Additional Examples that point to other contexts where the technique is appropriate.
Subscribe to RSS
Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions. Enlarge cover.
We have at least four times as many chairs as tables. The number of chairs c is at least four times the number of tables t. Hence c 4t. Fill in the blanks. These statements follow from the quadratic formula. The square has the largest area among all rectangles with a given perimeter. Translation of The temperature was
It seems that you're in Germany. We have a dedicated site for Germany. Each section features a single idea, the power and versatility of which is demonstrated in the examples and reinforced in the problems. The book serves as an introduction and guide to the problems literature e. The book is both an anthology of problems and a manual of instruction.
Because of the relocation of math library materials during summer, , our problem solving collection has been merged with the general books stacks. New materials has not been added to this list, but this list may help with browsing and identifying appropriate subject headings. Gleason, R. Greenwood, L. Combinatorial analysis.
Everyone asks that question. Addition : Sums, place value strategies, counting up, adding and taking away, doubles, making 10's and 's, friendly sums. Expressions : Evaluating expressions, using parentheses, working with symbols, simplifying, and solving equations. Problem Solving : Guessing and checking, working backwards, drawing a picture, finding useful information. Strategies: Rearranging addition and subtraction, canceling, almost canceling, subtracting everything at once, using parentheses, and skip-counting. Reading, writing, adding, subtracting, comparing, and estimating with big numbers.