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Skip to main content The Art of Problem Solving. The Art of Problem Solving, Vol. At times it feels to me that this is a cheat book for the AMC, since it covers so many theorems that are used directly on the contests. More importantly though, this is a great book for any high school student to take their understanding of math to the next level. It covers a very wide range of topics and does not hesitate to talk about proofs and mathematical rigor, which are some things that may never appear in the standard curriculum.
See All Buying Options. Got this to give myself a challenge along with the workbook, I like the way it presented the material and the examples were excellent as a senior citizen I really have to thank my teachers who taught me to not be afraid of math from adding and subtracting to calculus. Take the challenge and test yourself. This book can be used with concurrently with precalculus.
Covered proofs, logarithms, trig, geometry, conics, polar coordinates, polynomials, functions, limits great for a precalculus class , complex numbers, vectors like things covered in calc 3 , matrices, determinants, inequalities, combinations, sequences, series, counting advanced , probability, locus, number theory, and even Diophantine equations and graph theory! Very satisfied with this book. This book is wonderful as a thorough sweep of pre-algebra.
It is somewhat intensive and if your student is not a really quick learner in the math arena then it may take two years to cover it in such a way that is truly grasped, but once it is covered he will be more than ready for algebra. Actually some of it I think would be considered already Algebra 1 in other courses. Delves more deeply into number theory than others, but it is so helpful once Algebra is being tackled.
Prealgebra Solutions Manual. It contains very concise but sufficient explanations to the solutions of the pre-algebra book. Some problems are tricky so this solution manual is a must-have.
A good balance of short, easily-digested messages and more in-depth studies that require careful attention.
The many short fables are described on page as making "the creative part of problem solving look either too easy or too mysterious. Creativity is not just a flashing insight. Such insights are nurtured in soil prepared by hard and time-consuming work". This is a lead-in to the remaining odd pages of more-realistic detailed examples. I bought this book while doing the hard work of successfully solving engineering problems at a major corporation. The book helped me to broaden my outlook.
I weeded my problem-solving library when I left engineering. I wrote this review because I wanted people to know that I found Ackoff's book as useful as Are The Art and Craft of Problem Solving.
I recently got the 2nd edition and it seems to have some additional material compared to the first edition. There is a new chapter on Geometry and with expanded treatment of calculus. Seems like there are a few more problems in each chapter. This is a must have book for those interested in competetive mathematics.
The presentation is very good -- but since the material covered is rather complex, its not easy to do self-study with this book.
The book doesn't have a solution manual -- I tried contacting the publisher to get access to their instructor site but was turned down saying that I needed to be an instructor using this as a textbook in class and so on to get access to the solutions manual. It kind of sucks when you are doing self-study to not have a way to get help. I wish Wiley will reconsider As any true artist can attest, real art does not just arrive from the soul of the artist.
Rather it is more often than not the result of hard-won struggles with all sorts of problems. Art in its creation is not linear. It develops by answering questions like, "What makes form look dimensional? It the artist is too dominating, to expressionistic, the painting can look self-indulgent. Gregg Kreutz in his "Problem Solving for Oil Painters" has assembled many of the questions that have occurred to him during his years as a painter.
He examines the characteristics of a superior painting and shows through examples what makes one picture better than another. Some of those qualities include richness, mystery, simplicity, and focus.
Kreutz appreciates Competition Math for Middle School. Covers wide area of mathematics particularly in greater depth strengthening the understanding of the concepts and developing abstract thinking of students.
Lots of explanations and practice questions. Very good book. The Art of Mathematical Problem Solving. What I like best about this book is that the author gives the reader a practical step-by-step process to follow for solving math problems.
There are many good problem solving books, but most of them focus on specific problems and tactics. This book focuses more on the "process" of how to solve a hard math problem.
Part II of the book gives a number of examples. A good process is just as important as good strategy and tactics. I noticed in my math classes that most students can solve problems that they have seen before. However, students often feel lost when they are given a math problem that doesn't look like any of the homework problems. I've been experimenting with the author's process, and it does seem to work for many of my students, or at least for the brighter ones. This is a very useful book to help prepare students for the types of questions that will be in either the AMC8 or the Math Counts competitions.
Highly recommend. The topics covered in this book include the following: 1. Perimeter and area 2. Patterns 3. Logical reasoning 4. Operations with fractions 5. Even and odd 6. The online courses are very useful, but are not free. Koomey PhD. I began to enjoy the book almost from the very beginning, the writing style is easy to follow, and its explanations are straight to the point.
I had to have this book for a college course. It served its purpose. I'm not a math person, but I did pass with a B-. There's a problem loading this menu right now. Learn more about Amazon Prime. Get free delivery with Amazon Prime.