Reviews for Outlines & Highlights for Elementary Mathematics Modeling-Updated by Mary Ellen Davis, ISBN:...

The average rating for Outlines & Highlights for Elementary Mathematics Modeling-Updated by Mary Ellen Davis, ISBN:... based on 2 reviews is 3 stars.

Review # 1 was written on 2018-02-02 00:00:00 David Obrien Although the sequence of the presentation of the fundamentals of mathematics has changed over the last century, the substance has not. There is no greater evidence of this fact than this classic work by Hardy, which could be used without alteration or additional explanation as a text in modern college mathematics courses. Hardy was rightfully known as a bit of an eccentric, yet he was a brilliant pure mathematician and he will always be held in the highest regard for his actions in aiding the Indian prodigy Ramanujan. Less well known but still extremely significant is his expository writing; there are few who wrote as clearly as he did. This book was extremely influential in the teaching of mathematics over the last century. The primary subject matter is: *) Real variables *) Functions of real variables *) Complex numbers *) Limits of functions of a positive integral variable *) Limits of functions of a continuous variable *) Derivatives and integrals *) Theorems on the differential and integral calculus *) Convergence of infinite series and infinite integrals *) Logarithmic, exponential and circular functions of a real variable *) General theory of the logarithmic, exponential and circular functions There are few proofs, but an enormous number of examples. The mathematical influence of G. H. Hardy over mathematical education was and remains strong, as can be seen by reading this masterpiece. Published in Journal of Recreational Mathematics, reprinted with permission and this review appears on Amazon

Review # 2 was written on 2021-01-16 00:00:00 Kenneth So I decided to read through this book to see if it was worth studying in detail. As in a few pages a day and writing out mostly everything by hand to really learn the material. What I have found was a lot of the things covered in this book are in any modern calculus book and because of the old notation used in equations and the amount of skips in the proofs, etc. I was constantly going back to my calculus book to fill in what Hardy left out. So I said to myself I might as well be reading my calculus book than Hardy's book. The techniques on integration seem dated. If you want a book with similar integral problems look at the PDF of N. Piskunov Differential and Integral Calculus. He gives examples and steps that are very easy to follow. I learned that one of the integration techniques is called Euler substitution. Google it for yourself. Sure this book my have things others do not, but you can compare 10 modern math books and they each will have something not in the other. The problems require a skill that reading the book will not give you. Many are modern day Putnam equivalent. They are part of the Mathematical Tripos and students had to spend 3 years to prepare for the test to graduate. To do well you had to hire coaches, and their only job was to prepare you for the exam. So the problems are probably not the best for self study, unless you've had training in math competitions. I have the 10th edition 1952 and I've only been reading it for a short time but the cover is becoming frail and rough in my hands. It was perfectly smooth and I only read it in my room.