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Description
Differential FormsThere already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enough. The goal of this textbook is to be readable and usable for undergraduates. It is entirely devoted to the subject of differential forms and explores a lot of its important ramifications. In
There already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enough.
The goal of this textbook is to be readable and usable for undergraduates. It is entirely devoted to the subject of differential forms and explores a lot of its important ramifications.
In particular, our book provides a detailed and lucid account of a fundamental result in the theory of differential forms which is, as a rule, not touched upon in undergraduate texts: the isomorphism between the Čech cohomology groups of a differential manifold and its de Rham cohomology groups.
- Authoritative textbook on differential forms for undergraduates
- Includes numerous Examples and Exercises for further in-depth understanding on the presented concepts
- The first author, Victor Guillemin, is a world-renowned mathematician in the field of symplectic geometry
- His co-author, Peter Haine, is a talented doctoral student at MIT under Clark Barwick. His research interests center around homotopy theory, algebraic K-theory and algebraic geometry
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4.9 ★★★★★
Based on 1124 reviews
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Product Reviews
★★★★★ 4
“My heart bows to you and you only, Huntress.”
Format: Kindle
3.5 🌟
This book popped up in my KU recommended reading suggestions and the synopsis sounded like what I was in the mood for. I'm so glad I took a chance on it. I went into this knowing absolutely nothing about it and ended up really liking it. I love when this happens.
The main characters are likeable and I easily found myself rooting for them. There is a mystery element to each of their backstories that I enjoyed watching unfold and can't wait to get more of. Wolf, in particular, has me fixated. Love him.
I found this to be an entertaining, addictive read with a plot that moves along at a good pace. It reads so easily I found myself very reluctant to put it down. Lots of twists and turns and the angst is there. A good set up for the next book to come, for sure.
My issues with this book....the dialogue feels a bit juvenile at times and there is a repetitive over use of a particular word phrasing that I found myself giving the ole eye-roll to. There are, without a doubt, some pretty cliche moments that gave me a bit of the cringe. I think this could've certainly 100% benefited from more depth regarding the world building. Perhaps the world building was sacrificed to keep the pacing quick? Just a guess. Also, the lack of consistency of character for the FMC was really evident and so she feels quite illogical at times.
Overall, this was a fun and enjoyable read that hit the spot well enough for me. That ending certainly has me impatiently pining for book 2!
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Reviewed in the United States on June 18, 2024
★★★★★ 3
Interesting take on the genre
Format: Kindle
True rating: 3.25 ⭐️
I enjoyed the fresh take on the genre. The best way I could describe the setting and world is an apocalyptic dystopian version of Farie where vampires, fae, and angles struggle to survive in what is left of the world. It was definitely interesting throwing the academy/hunger games aspect into this world as well.
Even though I guessed the final reveal early on in the book, I kept hoping I was wrong, and it would take a surprising turn. While the "plot twists" were a bit predictable to me, I still enjoyed the ride this book took me on.
Another downfall for me was the plot holes in the world building... I.E. if society has fallen and the world is in the aftermath of war, how are there trains running around the world? Just to take young adults to the trials to get into the golden city? How is the train maintained, the tracks clear, etc?
However, I did enjoy the FMC & MMC and thought they were fleshed out nicely. I also enjoyed the side characters but wish some were developed more like Ashalin (sp?). I do find myself rooting for the MCs to succeed and find happiness together, which is obviously an important aspect for romantasy.
Overall, was this an earth-shattering, mind-bending, terrific piece of literature? No. But was it the worst thing I've read this year? Also, no. This book has, to me, the bones of a great read & just needs a bit more to push it from an alright book to a great book.
Overall ratings:
Plot- 3.5⭐️
World building 3⭐️
Spice 2.5 🌶🌶
Main characters 4 ⭐️
Supporting characters 3.5⭐️
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Reviewed in the United States on May 12, 2024
★★★★★ 5
great book
Format: Kindle
I am really excited to meet the author at the book retreat this month. I really enjoyed this world that she built and most of the female main character Huntress is so awesome. She goes through a lot in this book and the ending; wow! I wouldn't have even guessed. I highly recommend everyone to read this book.
I have been so lucky this year that almost all the books I have read have been, so far, 5 out 5 stars.
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Reviewed in the United States on June 2, 2026
★★★★★ 4
Fallen for the Fallen Angel – A Guilty Pleasure Worth Every Page
Format: Kindle
There’s something deeply irresistible about a dark academia or trial-based setting, a brooding and arrogant fallen angel, and a fierce heroine with enough sass to go toe-to-toe with him. Wings So Wicked is exactly that kind of book—and I devoured it in just a couple of days.
To be fair, the plot isn’t groundbreaking. If you’re looking for something fresh and innovative in terms of storyline, this might not be it. But if your reader heart beats faster at the mere mention of enemies-to-lovers, jealousy-fueled banter, magical trials, betrayals, and forbidden tension—you’ll feel right at home. It’s like catnip for those of us with this particular weakness.
The chemistry between the leads could have used a slightly slower burn to make the tension sizzle longer, but I still found myself completely invested in their dynamic. There are moments and phrases that feel a bit cheesy or underdeveloped, but honestly? I didn’t care. The vibes were exactly what I wanted.
This book isn’t trying to reinvent the genre—it’s here to give readers like me what we crave: high-stakes magical drama, angsty romance, and the thrill of watching a badass girl and her brooding counterpart clash and spark. If that sounds like your kind of story, Wings So Wicked will hit the mark.
Here’s hoping Book 2 turns up the heat and keeps the magic alive.
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Reviewed in the United States on May 20, 2025
★★★★★ 5
my new favorite book
Format: Kindle
Ok so I never write reviews but this book was so good I felt the need to write this. Firstly your introduced to Huntyr you see her closed off hard core badass than towards the end you see the most subtle change and growth it’s amazing and the enemies to friends to lovers was just perfect, AND THE TWIST AT THE END GOT ME GOOD! You see one spicy scene the whole book but it doesn’t even MATTER BECAUSE THE BOOK WAS THAT GOOD. I’ve read 85 books in 2023-2024 so far and I’m pround to say this is my all time favorite. I’m so excited to read more of Emily Blackwoods books, this was my first time reading one of hers and I’m glad I did because HOLY!! Well done Emily well done
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Reviewed in the United States on February 23, 2024
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