SKU: 1339398952

Math Intro Gen Relativ (2nd Ed)

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Description

Math Intro Gen Relativ (2nd Ed)The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime geometry based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition theorem proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena

The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences.

 

In the first part, the differential geometry of smooth manifolds, which is needed to present the spacetime-based gravitation theory, is developed from scratch. Here, many of the illustrating examples are the Lorentzian manifolds which later serve as spacetime models. This has the twofold purpose of making the physics forthcoming in the second part relatable, and the mathematics learnt in the first part less dry. The book uses the modern coordinate-free language of semi-Riemannian geometry. Nevertheless, to familiarise the reader with the useful tool of coordinates for computations, and to bridge the gap with the physics literature, the link to coordinates is made through exercises, and via frequent remarks on how the two languages are related.

 

In the second part, the focus is on physics, covering essential material of the 20th century spacetime-based view of gravity: energy-momentum tensor field of matter, field equation, spacetime examples, Newtonian approximation, geodesics, tests of the theory, black holes, and cosmological models of the universe.

 

Prior knowledge of differential geometry or physics is not assumed. The book is intended for self-study, and the solutions to all the 283 exercises are included.

 

The second edition corrects errors from the first edition, and includes 60 new exercises, 10 new remarks, 29 new figures, some of which cover auxiliary topics that were omitted in the first edition.

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SKU: 1339398952

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Shameeka Shaneice Ewing
Fort Morgan, US
★★★★★ 5
Worth the money!
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Absolutely amazing product!
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Reviewed in the United States on March 13, 2026
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Lane
Draper, US
★★★★★ 5
Perfect beginner set
Color: Lightgreen
Love this!!! The toothbrush heads are a little flimsy but overall really liked this for my 3 year old.
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Reviewed in the United States on February 23, 2026
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Crunchy Life
Battle Creek, US
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Color: Lightgreen
This set of water flosser and electric toothbrush are just adorable! The shapes of them fit in the hands really comfortably, but also add to the cuteness as the shapes of the animals! Yes, this is meant for kids - so the toothbrush heads are small (for little kids), and the water flosser doesn't spray terribly hard. BUT they're still very effective. I especially like the water flosser. It can be taken into the bathtub/shower while bathing, so the spray doesn't end up going places we don't want water to go. It has a small tank of water, and I recommend using room temp water (rather than cold) so that it's comfortable on the gums and teeth. Also to note, the flosser doesn't work when it's sideways or upside-down - it needs to be held upright. This set is so cute, easy to use, easy to re-charge, and very comfortable. It's also very good quality - a great purchase. I love it!
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Reviewed in the United States on March 17, 2026
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Bookmarked Opinions
Los Angeles, US
★★★★★ 4
4 year old approved!
Color: Lightgreen, Color: Lightgreen
Love that this is a complete set, down to the wall block for the charger! My daughter is 4 and absolutely loves this set. I personally feel like the toothbrush head is a tad small, but it does do the job well. Its a soft brush head, with plenty of replacement heads. The toothbrush and the flosser both arrived fully charged, and so far we havent had to recharge it, but we're only a few days in. So, it seems to have a pretty good battery life so far. (I will update my review if anything changes on that aspect) The toothbrush and flosser both stand upright independently on the counter, without tipping over. The water flosser is hard fir my daughter to do by herself. She sprays water everywhere, as theres several buttons on it and she cant seem to remember in time which button turns it off. I help her with flossing and its been going fine. Whether youre on high or low the water pressure is not too hard for a kids mouth. In fact, I think the low setting does nothing but rinse the mouth and basically teach the habit of flossing. We use the high setting and it does and OK job. I am a little old school though, and feel like nothing will top a good ole dental floss flossing, but water flossing is a safer route to avoid cutting gums or getting floss stuck between close teeth. The sound level is minimal, a fraction of the sound level my adult water flosser makes. It doesnt shake/vibrate too badly in the hand and theyre bith comfortable to hold, and size appropriate for my (4yrs) daughters hands. It comes in a really nice box, packaged perfectly, making this a great gift for your little ones. The colors and theme makes brushing teeth exciting and fun again for your littles :)
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Reviewed in the United States on October 25, 2025
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Cyclegreen
Battle Creek, US
★★★★★ 5
Great for kids
Color: Lightgreen
The HUACOCARE Kids Water Flosser and Electric Toothbrush Combo is an absolute game-changer for establishing a solid dental hygiene routine with children. The light green giraffe and monkey design is incredibly charming and immediately turned what used to be a bedtime struggle into a fun activity that my child actually looks forward to. Having both the sonic toothbrush and the water flosser in one compact unit is brilliant, as it saves counter space while ensuring that every part of their mouth gets a professional-level clean. The three gentle flossing modes and two sonic brushing modes are perfectly calibrated for younger, more sensitive gums, providing a thorough clean without any discomfort. One of the standout features of this set is how braces-friendly it is; the water flosser reaches those tricky spots around wires and brackets that a standard toothbrush simply can't touch. It is clear that a lot of thought went into the ergonomics and the "fun factor," making it a perfect gift that is both practical and engaging. Since we started using this combo, our dentist has noticed a significant improvement in plaque removal and overall gum health. If you are looking for an all-in-one solution to build healthy brushing habits and make dental care feel like less of a chore, this set is worth every penny.
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Reviewed in the United States on February 21, 2026

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