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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 ★★★★★
Based on 1874 reviews
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Product Reviews
★★★★★ 4
Nothing Exceptional but Gets the Job Done
Color: Blue, Size: 4.3-Quart, Color: Blue, Size: 4.3-Quart
I’ve owned this 4.5 Qt. Amazon Enameled Cast Iron Dutch Oven for almost two months and have used it three times to date. Upon arrival and at first glance, the gradient blue color is beautiful and super glossy; most importantly, the pot is heavy for its size - as it should be. It looks exactly like the product pictures, with a globular shape than square shape as others. Unfortunately, I also noticed that there was one pin hole and two tiny uneven protrusions on the enamel inside the pot.
I own three other enameled cast iron cookware from two other brands (photos attached for size comparison) and performance wise, this cast iron by Amazon performs equally to them. The pot isn’t exceptional or special but it gets the job done. Other than the pin holes and protrusions, I have no complaints. This isn’t my first rodeo so when heating up the pot and while cooking, I have zero issues.
I am starting the pan off at 4-Stars and will update my review as time progresses, or if I have any major issues with its durability or performance in subsequent months. For the amateur home cook, or for anyone who is new to cast iron cooking, below I’ve included tips that you may find useful while using this or any other enameled cast iron cookware.
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Regarding the 3 Photos and 1 video I've Attached:
(Note: all photos were taken with an iPhone under kitchen lights during the evening. Photos have not been edited nor enhanced.)
Photo 1: Size comparison of this Amazon Enameled Cast Iron Dutch Oven compared to three other enameled cast iron cookware that I own from two other brands. From left to right: 7 qt. Tramontina, 4.5 qt. Amazon, 3 qt. Lodge 4 qt. Tramontina.
Photos 2 and 3: fresh produce shown next to 4.5qt Amazon Dutch Oven for color and size contrast.
Video: 4.5 qt. Amazon Enameled Cast Iron Dutch Oven on gas stove over medium heat, with food cooking.
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TIPS THAT YOU MAY FIND USEFUL While Using your cast iron dutch oven:
(Note: I included these similar tips in my review of a different enameled cast iron pot from a different brand. My tips can apply to all enameled cast iron cookware)
1. If you find that you have issues with food sticking, it could be that you are not heating up your cast iron pot properly to prevent undue hot spots.
I heat my pot up gradually starting at low, then medium, then high heat. After my pot is very hot is when I add my fat/cooking oil. As the oil is heating up in the pot, I lift it and swirl the oil around to coat all sides of the pot that will come in contact with food.
2. Take into consideration the temperature of the items you are adding to your heated pot. As a general rule for cooking: when ever possible, ensure that the items you are adding to a hot pot are at room temperature, rather than ice cold from the fridge; this will assist with even cooking.
3. Also, get comfortable with adjusting your heat by lowering and raising it based on what you’ve added to the pot. In general, you will need more heat at the beginning of the cooking process, and less heat towards the end. If you cook by recipe, I highly recommend that you read all the steps ahead before starting, so that you become familiarized with all the procedures, allowing you to maneuver accordingly when you start cooking.
4. At the exception of searing meat to achieve a brown crust, deep frying, or when caramelizing onions, you should be stirring your pot (I recommend using a wooden spoon) every few minutes when cooking in cast iron that is placed over high heat. If you are braising on the stove at low heat versus braising in the oven, the frequency of your stirring will need to be adjusted. No matter how you’re cooking though, a watchful eye on the pot plus stirring, should both be a habit not an afterthought.
5. For all cooking vessels in general but especially for cast iron: after cooking, allow your pot to cool down completely before cleaning. NEVER immerse a hot cast iron pot into cold water, nor pour cold dish water into hot pot. You risk not only being scald by dangerous steam, but you also risk weakening the enamel, therefore lessening the durability of your pots over time.
6. This cookware and others like it from Tramontina and Lodge are economical and if used correctly, will perform well for most cooking; if used correctly, they should also last for years. Nonetheless, if you can afford it, authentic enameled cast iron cookware made in France by Le Creuset is the best way to go. Le Creuset is the gold standard in cast iron cookware and their quality is second to none. I definitely recommend this Amazon dutch oven but if you can afford to splurge, Le Creuset's reputation is stellar. As a professional chef, I've used them in high end kitchens and their quality and performance is premier.
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Reviewed in the United States on July 2, 2018
★★★★★ 5
Nice BIG enameled cast iron dutch oven. like LeCreuset but costs less
Color: Blue, Size: 6-Quart
This is nice quality, similar to the far more costly French LeCreuset brand. I was surprised how big this model is, possibly too big for my small kitchen and limited storage space. I store it in the oven. It would be great for baking sourdough boule bread.
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Reviewed in the United States on May 13, 2026
★★★★★ 5
Enamel finish
Color: Matte Navy, Size: 6-Quart
This is an amazing pot, got the 6 Qt
for beautiful roast dinners and for baking bread. All comes out evenly baked. Cast Iron is best and it has a nice finish for easy clean up.
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Reviewed in the United States on April 24, 2026
★★★★★ 5
Great Cookware Best purchase
Color: Blue, Size: 6-Quart
I purchased mine back in 2021 and I absolutely love it, cooks the best stew ever
easy wash and cleanup. Also great for deep frying
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Reviewed in the United States on June 6, 2026
★★★★★ 5
Great quality. Easy to clean. Nice appearance.
Color: Red, Size: 4.3-Quart
Solid, heavy pot for cooking and baking. I bought it mainly for making soups, stews and breads. I have only tried soups thus far. The pot cleaned up very easily. The bottom of the pot heated uniformly. Nothing was stuck to the pot when I was simmering on the glass top stove. I have not had the chance to bake yet, but seeing how evenly it held heat while cooking, I am thinking this will be perfect. I bought the red color. It gives a nice pop of color in my kitchen. This pot will probably last me a long time. I would buy one if I needed a replacement, or a gift for someone.
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Reviewed in the United States on November 29, 2025