(Ebook) Mathematical Induction 101: With 101 Practice Problems by Duc Van Khanh Tran ISBN B0BRHSKRB4
This book starts with a brief introduction of mathematical induction and provides 101 practice problems of mathematical induction proofs. The problems have various levels of difficulty and cover a wide range of topics - sequences, series, products, inequality, trigonometry, floor function, derivatives, integrals, matrices, set theory, etc. Those who want to learn about mathematical induction can learn from this book, and those who are already familiar with mathematical induction can find some fun problems to practice.Reviews"In the ideal situation, every college student should learn some mathematics, with the depth and difficulty largely varying. As in the practice of most refined universities, mathematical education should never be standardized. Meanwhile, math induction is one of the key tools that students need to know. Based on my teaching experiences to many Chinese and international students, I found Tran’s book fairly interesting and accessible. Mathematical Induction 101 contains 101 carefully chosen exercise problems. I believe that Tran’s book will prove to be useful for college students in the broad range of arts and sciences. Hopefully many will appreciate the beauty and power of mathematical reasoning with mastery of math induction after using this book." - Prof. Chunwei Song, Peking University"This book provides an interesting collection of identities and inequalities that can be proved by mathematical induction. These 101 practices will be useful to learn standard techniques. Some of the topics and their solutions would also be found stimulating even for advanced students of mathematics." - Prof. Hiroaki Nakamura, Osaka University"This book provides almost all types of problems in high school and collegiate mathematics which can be solved by mathematical induction. To each problem, a self-contained and detailed solution is given. Difficulty ranges from quite elementary to somewhat complex. Among them there are many interesting ones. I am…
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