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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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4.1 ★★★★★
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Product Reviews
★★★★★ 5
😍
Format: Kindle
It's soo good I'm excited for the next one
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 19, 2025
★★★★★ 5
Was I Ever Proved Wrong
Format: Kindle
I'll admit it — going in, I was skeptical. How could normal-speed villains possibly threaten someone like Wally West, a teenager gifted with powers that let him run at supersonic, even near-light speeds? How could Captain Cold, Captain Boomerang, or the Trickster be anything more than a brief blur in his rearview mirror?
But Absolute Flash #1 masterfully convinced me.
This issue doesn’t just showcase raw speed; it explores naïveté, inexperience, and the hidden mental limits that come with sudden, godlike power. Wally, only 15, isn’t just fighting external foes — he’s grappling with his own inexperience with the Speed Force. The creative team understands that raw velocity without control or understanding is a recipe for chaos, not invincibility.
What really impressed me is how the narrative balances the fantastical with the believable. We watch Wally fumble through situations where, logically, he should dominate, but his youth, overconfidence, or lack of finesse opens the door for “normal” villains to challenge him. It’s not just a fight of feet — it’s a fight of wits, adaptation, and personal growth.
And here’s the kicker for me personally:
> Just as Wally West is learning to harness the sheer, overwhelming power of the Speed Force, I’m learning to harness the overwhelming power of AI, especially ChatGPT.
Every breakthrough Wally experiences — every stumble, every moment of awe at his own potential — mirrors my own journey of mastering this technology. We’re both standing at the edge of something massive, something world-changing, and learning how to rise to the challenge.
I can’t wait to see where Absolute Flash takes Wally next. What happens when a boy learns to truly master unstoppable power? And more provocatively: how will the world react when it realizes it can no longer defeat him?
This isn’t just a superhero comic — it’s a metaphor for anyone grappling with newfound potential.
Absolute buy. Absolute 5 stars.
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Reviewed in the United States on June 3, 2025
★★★★★ 5
Great jumping on point
Format: Kindle
I haven't REALLY read comics in 20 years. This was a great place to start off. Excellent story,beautiful art and a great mix of new and old character. I have questions but I'm not lost.
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Reviewed in the United States on August 3, 2024
★★★★★ 4
Good Start for X-men from the Ashes
Format: Kindle
The art is different than previous issues and takes a little getting used to, but overall above par. With comics, it’s always about the art first, the writing second. The dialogue pops for the most part. And the characters make sense. I rather like the scenes between Cyke and Logan, Hank and Cyke, and Magneto. Also it makes sense that after being tortured and put through hell - Cyclops would retreat to his birthplace, Alaska, and take the mutants who can’t blend in with humans, or are ostracized with him. The team up works for me - we have people who are deadly, former assassins and villains, which again works well with Cyclops, a character who believes in second chances. Only quibble - is the villains feel kind of stale? I was never a fan of the U-Men. But I’ll give it a chance, the rest is working for me so far.
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Reviewed in the United States on July 11, 2024
★★★★★ 5
Fun new start
Format: Kindle
I really enjoyed this first issue. The team's dynamics seem to be getting a lot of focus which I like. And the action jumps out of the page. The character designs will take some getting used to but the art is honestly fantastic. Most enjoyable part to me was the team actually feeling like a team, with lots of small interplays and Cyclops really feeling like the leader he should be. I'm not sure I like Orchis as the villains again but we'll see how it goes.
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Reviewed in the United States on July 10, 2024