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Description
Real Analysis (3rd Ed)This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the
This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.
The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.
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4.3 ★★★★★
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Product Reviews
★★★★★ 5
Simple, Comfortable, and Exactly What You Expect
Style: Rack with 3 Pairs (5, 10, and 15 Pound)
These are pretty much exactly what you want from a set of dumbbells — simple, functional, and no nonsense. The neoprene coating gives them a comfortable grip and keeps them from feeling slick in your hands, especially during longer workouts or if your hands get sweaty.
The coating also helps keep them from banging up floors or making as much noise compared to bare metal weights, which is nice if you’re working out at home.
Weight accuracy seems fine for general fitness use, and they’ve worked great for things like accessory movements, shoulder work, lighter presses, rehab-style exercises, and general muscle toning. The shape also helps keep them from rolling around everywhere when set down.
They’re not fancy, and they’re not trying to be — they’re just dependable dumbbells that do what they’re supposed to do at a fair price.
If you want straightforward hand weights for home workouts without overthinking it, these are a solid buy.
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Reviewed in the United States on May 26, 2026
★★★★★ 5
Reliable, Comfortable Dumbbells I Actually Use Every Day
Style: 12 Pound, Pair, Style: 12 Pound, Pair
I’ve been using the Amazon Basics Neoprene Dumbbell Hand Weights daily, and they’ve honestly been perfect for my routine. Whether I’m doing a quick morning workout or adding resistance to a longer session, these have held up really well.
The neoprene coating makes a big difference—it provides a comfortable, non-slip grip, even during longer workouts or when my hands get a little sweaty. They’re also easy to clean and don’t have that strong rubber smell some weights can have.
I really appreciate the hex shape too. They stay put when I set them down (no rolling across the floor), which makes switching between exercises quick and frustration-free. The weight feels evenly distributed and well-balanced, so movements feel controlled and smooth.
Overall, these are simple, no-frills dumbbells that just work. If you’re looking for reliable hand weights for everyday use—whether you’re a beginner or just need something dependable for home workouts—these are a great choice.
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Reviewed in the United States on April 14, 2026
★★★★★ 5
Great quality and perfect for home workouts!
Style: Rack with 3 Pairs (3, 5, and 8 Pound)
I’m really happy with this dumbbell set. The weights are clearly labeled (3 lb, 5 lb, and 8 lb), which makes it super convenient to switch between exercises. The neoprene coating feels comfortable in hand and provides a good grip, even during longer workouts.
The storage stand is a big plus—it keeps everything organized and saves space, which is perfect for a small home gym. The colors are also nice and make it easy to quickly grab the weight you need.
Overall, this is a great set for beginners or anyone looking to add light strength training to their routine. Highly recommend!
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Reviewed in the United States on April 13, 2026
★★★★★ 5
I’m A PT AND USING THEM IN MY CLINIC. PLS READ HONEST AND THOROUGH REVIEW.
Style: 15 Pound, Pair
I have been a PHYSICAL THERAPIST FOR 30 YEARS and I BOUGHT THESE FOR MY CLINIC. THESE WEIGHTS ARE COVERED IN A GRIPPING MATERIAL, NEOPRENE, MAKING IT COMFORTABLE and EASIER TO USE, ALLOWS YOU TO NOT LOSE YOUR GRIP, and IT IMPROVES THE SAFETY OF THE USER. I WILL BE BUYING THE 12&20 lb sets! THE VALUE FOR YOUR MONEY IS WONDERFUL!! AMAZON BASICS REALLY CAME THROUGH. It DID NOT INCLUDE AN INSTRUCTION GUIDE TO USE WEIGHTS SAFELY AND EFFECTIVELY. STELLAR FORM IS ALWAYS ESSENTIAL.
MY WEIGHTS WENT UP TO 10 POUNDS, SO I DEFINITELY NEEDED ADDITIONAL WEIGHTS for those who can SAFELY TRANSITION . I MAINLY WORK AS A MANUAL THERAPIST …USING ONLY MY HANDS, AND MY BRAIN. TO DIAGNOSE AND TREAT ACCORDINGLY.
(**ANYONE WHO HAS BEEN TO PT KNOWS THIS KIND OF ONE ON ONE TREATMENT IS UNHEARD OF**)
I IMPLEMENTED MYOFASCIAL RELEASE, TRIGGER POINT THERAPY, DEEP TISSUE MASSAGE, AND APPROPRIATE STRETCHING AND EXERCISE . ONCE PATIENTS WERE ABLE, I INITIATED THERAPEUTIC EXERCISE. I WAS GETTING SO MANY REFERRALS THAT I MOVED FROM MY SMALL SPACE AND GOT A LARGER SPACE THAT LOOKS LIKE A TYPICAL PT CLINIC. I STILL EMPLOY ONE ON ONE TREATMENT, NO JUGGLING SEVERAL PATIENTS IN AN HOUR. I HAVE HIRED HELP TO ASSIST PATIENTS WITH EXERCISE AND STRETCHING. I PURCHASED TWO ADDITIONAL SETS ITHE SET IT I DID TO FIRST CHECK THEM OUT. I ADORE THESE AND HAVE SINCE ORDERED OTHER SETS. I LOVE TO WORKOUT AND I NEEDED TO USE THESE WEIGHTS MYSELF!! THERE ARE ALSO PATIENTS OF MINE WHO WILL PROGRESS TO THESE AS WELL. I AM SUPER IMPRESSED WITH THESE WEIGHTS AND CANNOT WAIT TO RECEIVE MY TWO OTHER SETS!! YOU WILL NOT BE DISAPPOINTED.
EVEN IF YOU SWEAT, YOU ARE STILL ABLE TO HOLD ONTO THESE WEIGHTS COMFORTABLY AND SAFELY. SAFETY IS KEY, ALWAYS. I WAS EXTREMELY DELIGHTED THAT THEY ARE SOLD AS A SET BECAUSE MANY ARE SOLD SEPARATELY. THEY FIT PROPERLY ON A UNIVERSAL WEIGHT STAND, SO THEY ARE VERY EASY TO STORE. I CANT WAIT TO GET MY OTHER SETS! IT IS REALLY SAFE AND COMFORTABLE TO USE THESE WEIGHTS.
THEY DID NOT GIVE OFF AN ODD ODOR, which is A HUGE PLUS because SOME OTHER BRANDS SMELL HEAVILY OF PLASTIC OR A CHEMICAL TYPE ODOR. THERE WAS NO ODOR AT ALL. THIS IS A HUGE PLUS. I AM COMFORTABLE SAYING THAT THESE WEIGHTS WILL LAST A LONG TIME BECAUSE OF HOW WELL THEY ARE MADE. YOU CANNOT BEAT THE PRICE EITHER!!
THESE ARE ABSOLUTELY APPROPRIATE FOR PROFESSIONAL USE, AND, THEY ARE MEANT FOR PERSONAL USE AS WELL. SOMETIMES YOU JUST CANNOT GET TO THE GYM SO THIS IS WHERE THEY ARE KEY. HAND WEIGHTS HAVE THE ABILITY TO EXERCISE EACH MUSCLE OF THE TORSO AND ARMS. THERE ARE SOME EXCELLENT WEIGHT CHARTS OUT THERE TO SHOW YOU HOW TO DO THAT. IF YOU ARE GOING TO PHYSICAL THERAPY, THEN YOUR THERAPIST CAN INSTRUCT YOU AND KEEP YOU IN GOOD FORM. YOU COULD POSSIBLY HURT YOURSELF IF YOU WORKOUT INCORRECTLY. AS FAR AS THE LOWER EXTREMITIES, YOU CAN DO GROSS MOTOR EXERCISES BY HOLDING THESE WEIGHTS TO GET YOUR LEG MUSCLES BY DOING SQUATS, WALKING LUNGES, TOE RAISES, AND MORE. I DONT BELIEVE THAT MANY PEOPLE REALIZE JUST HOW MUCH YOU CAN DO FULL BODY EXERCISES WITH JUST TWO HAND WEIGHTS.
IN CONCLUSION , THESE ARE EXCELLENT WEIGHTS THAT I WOULD RECOMMEND TO MY PATIENTS OR FRIENDS. THIS IS A HIGH QUALITY PRODUCT THAT WONT BREAK YOUR PIGGY BANK. I HIGHLY RECOMMEND VERY HIGHLY!. BUY WITHOUT RESERVATION!! A+++
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Reviewed in the United States on March 23, 2025
★★★★★ 4
Perfect size and weight with compact size
Style: Rack with 3 Pairs (3, 5, and 8 Pound)
I purchased the Amazon Basics Neoprene Dumbbell Hand Weights specifically for Pilates, and they’ve been a great addition to my routine. The size and weight are perfect for controlled movements, helping with muscle toning without feeling too bulky or awkward.
The neoprene coating gives them a comfortable, non-slip grip, which is especially important during longer sessions or when your hands get a little sweaty. They feel secure and easy to hold through a full workout.
I also like the shape—they don’t roll around on the floor, which makes transitions between exercises smoother and less frustrating. They’re compact enough to store easily but still feel durable and well-made.
Overall, these are a simple, affordable, and effective option for Pilates or light strength training. I’d definitely recommend them for anyone looking to add a little resistance to their workouts without overcomplicating things.
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Reviewed in the United States on April 20, 2026