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Description
What Is Mathematics?: An Elementary Approach to Ideas and MethodsFor more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.Binding Type: Paperback
Publisher: Oxford University Press, USA
Published: 07/18/1996
ISBN: 9780195105193
Pages: 592
Weight: 1.70lbs
Size: 9.02h x 6.05w x 1.06d
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4.4 ★★★★★
Based on 5 reviews
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Product Reviews
★★★★★ 5
Great Read!!! Great story!!!
Format: Kindle
The series is long, but Ms. Wolfhart does a fantastic job of weaving this tale while bringing so much to the characters. Surprises and plot twists along the way to keep you intrigued. There is some graphic sex, but is no way the focal point. Grammar was excellent (a rare find with a lot of self publishers) with only a few noted errors. I rarely give 4 stars, let alone 5.
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Reviewed in the United States on April 30, 2021
★★★★★ 3
Sadly, DNF
Format: Kindle
I read this thru KU. I LOVED the synopsis. And then I began reading... and it was a DNF at 68% after picking it up and putting it down several times because I really loved the main female character.
*****SPOILERS*****
Pros:
The world is unique, intriguing and fun. The primary female character is bad-a** but not a b*tech or a mary sue. The primary female has depth. I really want to know what happens to her even tho it's been weeks and I don't remember her name. The villains to the point I read are pretty good -- an ever present threat of mysterious and possibly many culprits.
Cons:
Way, way too many points of view. I stopped counting at 7. It's the prime reason why I don't care about most of the characters or remember their names even when I like them. There's just too many points of view so almost none of the characters have enough book space for the author to properly develop them. This literally killed the book for me. Actually it killed my desire to read. For weeks.
The main male is more villain than hero. He agreed to marry the main female then locks her up & eschews her for her sister, all while bad mouthing her as unfit to rule when he never spent any time with her getting to know her. He is actually unfit to rule as he is blind to the woes of his own kingdom and starts off a peace mission to secure a ceasefire through marriage by murdering an inn full of people in her country for no real reason. Plus, he constantly makes promises he does not keep. And it's gross of him to pine for the sister behind the main female's back.
*****
As much as I really wanted to see what happened to the main female character, it wasn't enough for me to keep trying to slog thru this book. There was a lot of potential here that just fell short.
Hence, 3 stars.
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Reviewed in the United States on June 19, 2021
★★★★★ 5
Fae Courts with High Intrigue
Format: Kindle
This book is one that just builds and builds and then surprises you to no end. You may think you know the villains and then you are jolted in another direction. Princess Reyna is a real gem, strong of character, a fierce fighter, and loyal to her family and kingdom. Just when you think she and Lorcan, well you know, the plot is flipped. Can't wait to see where this goes in book two.
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Reviewed in the United States on July 7, 2023
★★★★★ 4
Slow, sorry but good
Format: Kindle
This was a slow moving book. Lots of character pov chapters, lots of superfluous descriptions and endless courtly appearances stalled this book to start. Once you get into the heart of the story, it takes off. Before you know it the book is done. My favorite character is Reyna. She is so strong. She is true to herself. She gets into a lot of trouble with her headstrong ways but it's entertaining. I have high hopes for Lorcan. He is honorable to a fault. Thane had turned out to be better than I thought but i still don't like him. Eislin is useless. Great plot twists at the end. I'm looking forward too book 2.
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Reviewed in the United States on June 6, 2020
★★★★★ 5
Very detailed! Beautiful world building! Strong Heroine!
Format: Kindle
Starts off a little slow and confusing with different POV’s, but starts to all come together towards the middle to make an elaborate plot line and makes it all worth it. Beautiful world building and attention to detail as well as great writing. The cliffhanger was gut wrenching! Can’t wait for the next book!
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Reviewed in the United States on March 4, 2020