Martin gardner is very knowledgeable, "aha! The book "A brainwave" is rich in content, from the simplest arithmetic and algebra to unfathomable topology and super-difference, covering a wide range and attracting attention with many "hot spots". Every reader can "get what he needs" and find interesting chapters suitable for his education level. The contents of this book can be divided into six categories: combination, geometry, numbers, logic, procedures and words. The content of each category is relatively broad, and there are also overlaps between different categories. Sometimes, the problems discussed in this category may be touched somewhere in the next category. For each problem, the author tries to start from an interesting story and start around the story, so that readers can solve the problem happily and stimulate their extraordinary thinking under the emotional coordination.
Each question in this book is accompanied by a brief sketch drawn by Canadian painter Mr. Jim Green, followed by a description. These explanations have deepened the problem step by step and brought us into the colorful and confusing kingdom of modern mathematics.
In the eyes of ordinary people, mathematics is often inscrutable and boring, but in Gardner's works, abstract mathematical problems become interesting. For example, if God is omnipotent, can he make a stone that he can't move? Because God is omnipotent, he can make any kind of stone, so God can make stones that he can't move, so God is not omnipotent-he can't even move his own stones. Whether and how God exists is originally a metaphysical question. So ask, inexplicably solved-really weird. This interesting question is just "Aha! It's just an example in the book A brainwave.
Advanced topics such as number theory, graph theory, probability theory, group theory, matrix, combinatorial analysis, affine geometry, projective geometry, differential science, algorithm theory, topology, etc. have always been regarded as "Chun Xue", and ordinary popular science writers always feel very headache and dare not touch it. Martin gardner, on the other hand, excavated a lot of treasures from it, which made him surpass his peers and be unique. In this respect, even Burleiman, a famous mathematical science writer in the Soviet Union, can't compare with him.
Surprisingly, martin gardner himself has never received a "formal higher mathematics education". He can become an expert because of his love for pure intellectual activities, which makes his articles full of magic.
Gardner's language is humorous, his writing is vivid and he understands the reader's psychology. His articles can meet the needs of all social strata. Aha! A brainwave is very interesting, elegant and popular, and you can "catch" it at a glance, and you don't need a lot of preparatory knowledge, so you can't help itching.