Discover Finite Markov Chains and Algorithmic Applications (London Mathematical Society Student Texts Book 52) by Olle Häggström.
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Overview: Based on a lecture course given at Chalmers University of Technology, this 2002 book is ideal for advanced undergraduate or beginning graduate students. The author first develops the necessary background in probability theory and Markov chains before applying it to study a range of randomized algorithms with important applications in optimization and other problems in computing. Amongst the algorithms covered are the Markov chain Monte Carlo method, simulated annealing, and the recent Propp-Wilson algorithm. This book will appeal not only to mathematicians, but also to students of statistics and computer science. The subject matter is introduced in a clear and concise fashion and the numerous exercises included will help students to deepen their understanding.
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MathematicsMathHoja De Ruta EstadisticaWant To Read SoonOn HoldNonfMat
Olle Häggström is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Olle Häggström can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.
Took me a few chapters to get into it, but it was worth it. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
Nicholas AdamsJune 21, 2025
An average read for me. It had some good moments, but the overall plot felt a bit disjointed in the second half. A generous 3 stars.
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Paul DiazJanuary 23, 2024
Pretty good overall. The middle dragged a tiny bit, but the ending totally made up for it. Still a good book.
Jessica RobinsonJune 09, 2024
Glad someone recommended this to me. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
Carol ParkerDecember 14, 2025
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Karen LopezNovember 22, 2024
Took me a few chapters to get into it, but it was worth it. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Still a good book.
Gary MartinezApril 14, 2024
I liked it for the most part. It held my attention, even if a few things were a little predictable. I'd probably recommend it to a friend.
Emily SanchezJuly 28, 2025
Finished it in a couple of days. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Will be looking for more from this author.
Cynthia WhiteFebruary 28, 2025
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. Would probably read it again at some point.
Sandra SmithAugust 07, 2025
Took me a few chapters to get into it, but it was worth it. It held my attention, even if a few things were a little predictable. Not bad at all.
Stephanie YoungMarch 11, 2025
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Nicholas WalkerJune 07, 2025
Glad someone recommended this to me. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Eric YoungDecember 07, 2025
Not bad, but not my favorite. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. A generous 3 stars.
Kimberly MitchellApril 29, 2025
Finished it in a couple of days. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Charles YoungDecember 04, 2024
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Glad I picked this up.
Jacob EvansJune 10, 2024
Pretty good overall. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. A solid 4 stars from me.
Betty MartinFebruary 12, 2024
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Steven ScottApril 06, 2024
Really enjoyed this one. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Sharon RobinsonDecember 15, 2024
Really enjoyed this one. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Deborah PerezMay 05, 2025
I have mixed feelings about this one. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Just right down the middle.
Richard HernandezDecember 08, 2025
Good, but not quite perfect. It held my attention, even if a few things were a little predictable. Still a good book.
Ashley ScottNovember 17, 2025
Pretty good overall. It held my attention, even if a few things were a little predictable. I'd probably recommend it to a friend.
James RobertsDecember 25, 2024
A solid read. I liked the main character, though some of the side plots were just okay. Enjoyable weekend read.
Steven GomezSeptember 30, 2025
I liked it for the most part. I liked the main character, though some of the side plots were just okay. A solid 4 stars from me.
Charles RodriguezNovember 29, 2025
Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. Glad I picked this up.
Kevin LopezMarch 04, 2024
I liked it for the most part. The middle dragged a tiny bit, but the ending totally made up for it. Enjoyable weekend read.
Nicholas PhillipsJune 15, 2025
I was pleasantly surprised. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Definitely recommend it if you like this genre.
Amanda GomezJune 20, 2024
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
Eric CarterOctober 08, 2024
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Jessica EdwardsJuly 27, 2025
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
Barbara DiazApril 08, 2025
Pretty good overall. It held my attention, even if a few things were a little predictable. I'd probably recommend it to a friend.
Richard RodriguezJanuary 07, 2024
Took me a few chapters to get into it, but it was worth it. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
Rebecca CruzDecember 10, 2025
Good, but not quite perfect. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
Cynthia ThompsonJuly 09, 2025
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Definitely recommend it if you like this genre.
Charles SmithJune 20, 2025
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Worth the time and money.
Nancy DavisNovember 11, 2024
An average read for me. Some parts were interesting, while others were a bit of a slog to get through. Just right down the middle.
Daniel TaylorJune 11, 2025
Glad someone recommended this to me. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
Nicholas ScottNovember 12, 2025
Such a great read. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Melissa FloresJuly 22, 2024
Good, but not quite perfect. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Not bad at all.
Jennifer BakerDecember 14, 2025
Really enjoyed this one. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Will be looking for more from this author.
Edward EvansNovember 09, 2025
Pretty good overall. It held my attention, even if a few things were a little predictable. A solid 4 stars from me.
Mary RodriguezAugust 10, 2025
A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
Richard RiveraMay 26, 2025
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Definitely recommend it if you like this genre.
Nancy ScottApril 01, 2025
Really enjoyed this one. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
Sarah AndersonSeptember 15, 2025
I liked it for the most part. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
Amanda CruzJune 17, 2024
Not bad, but not my favorite. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Might work better for someone else, just wasn't completely for me.
Eric GomezJune 22, 2024
Glad someone recommended this to me. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
Ashley FloresAugust 16, 2024
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Glad I picked this up.
Edward GreenJuly 26, 2025
Took me a few chapters to get into it, but it was worth it. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Enjoyable weekend read.
James GreenApril 02, 2025
Finished it in a couple of days. I loved how the story unfolded. It kept me guessing without being too confusing. Glad I picked this up.
Paul JohnsonJune 04, 2025
Took me a few chapters to get into it, but it was worth it. It held my attention, even if a few things were a little predictable. Still a good book.
Jacob MitchellOctober 19, 2024
I have mixed feelings about this one. It felt a bit repetitive in the middle. Could have been shorter. Probably won't read it again, but it was an okay way to pass the time.
Eric MooreApril 26, 2024
Good, but not quite perfect. It held my attention, even if a few things were a little predictable. Not bad at all.
Brian NelsonAugust 29, 2025
Really enjoyed this one. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Joseph ReyesMay 15, 2025
It was just alright. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. Might work better for someone else, just wasn't completely for me.
Nancy ThompsonJanuary 14, 2025
Such a great read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Worth the time and money.
Barbara ClarkNovember 10, 2024
Really enjoyed this one. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Deborah CampbellOctober 14, 2024
I was pleasantly surprised. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Deborah HernandezJanuary 24, 2024
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. A solid 4 stars from me.
Sharon GonzalezOctober 10, 2025
A very satisfying read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Will be looking for more from this author.
Sandra SmithNovember 19, 2024
A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Melissa RodriguezApril 07, 2024
A very satisfying read. I got really invested in the main character's journey. Everything just clicked for me. Definitely recommend it if you like this genre.
Carol ParkerNovember 18, 2025
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Nancy ReyesFebruary 15, 2024
Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. Glad I picked this up.
Carol ParkerJune 23, 2025
Took me a few chapters to get into it, but it was worth it. I liked the main character, though some of the side plots were just okay. Still a good book.
Barbara TurnerJuly 29, 2025
An average read for me. It felt a bit repetitive in the middle. Could have been shorter. A generous 3 stars.
Michael DiazOctober 08, 2025
Finished it in a couple of days. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Glad I picked this up.
Patricia ReyesSeptember 11, 2025
Such a great read. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Margaret HallJanuary 22, 2024
Really enjoyed this one. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Definitely recommend it if you like this genre.
David MartinezSeptember 22, 2024
A solid read. I liked the main character, though some of the side plots were just okay. Still a good book.
Laura AllenJune 30, 2025
A very satisfying read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Definitely recommend it if you like this genre.
Christopher HallAugust 16, 2024
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
John RobinsonJanuary 06, 2025
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Definitely recommend it if you like this genre.
Ryan RobertsApril 24, 2024
Pretty good overall. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Still a good book.
Barbara ClarkNovember 03, 2025
A solid read. Interesting premise and executed fairly well. Just a few slow chapters here and there. Enjoyable weekend read.
Stephanie WhiteDecember 29, 2025
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Donald RobertsFebruary 17, 2024
Really enjoyed this one. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
Mark WalkerMarch 07, 2025
Good, but not quite perfect. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Enjoyable weekend read.
Gary DavisMay 30, 2025
A solid read. I liked the main character, though some of the side plots were just okay. A solid 4 stars from me.
Donald ParkerApril 03, 2024
Good, but not quite perfect. I liked the main character, though some of the side plots were just okay. I'd probably recommend it to a friend.
Andrew GomezMarch 09, 2024
Honestly one of the better books I've read lately. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Would probably read it again at some point.
Melissa WrightSeptember 19, 2024
I was pleasantly surprised. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Kevin LopezJanuary 16, 2024
Finished it in a couple of days. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Thomas DiazMarch 17, 2025
Finished it in a couple of days. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Would probably read it again at some point.
Jennifer SmithNovember 18, 2024
Glad someone recommended this to me. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Anthony GarciaMarch 07, 2025
A very satisfying read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Will be looking for more from this author.
Paul JacksonOctober 10, 2024
Glad someone recommended this to me. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
Michael WilliamsMarch 31, 2024
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Glad I picked this up.
John CollinsJune 24, 2025
Pretty good overall. I liked the main character, though some of the side plots were just okay. Not bad at all.
Mary MartinSeptember 25, 2024
A solid read. The middle dragged a tiny bit, but the ending totally made up for it. A solid 4 stars from me.
Barbara ClarkJuly 11, 2024
A solid read. It held my attention, even if a few things were a little predictable. I'd probably recommend it to a friend.
Donna WilliamsJune 18, 2024
Pretty good overall. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
Christopher PhillipsJune 05, 2024
Honestly one of the better books I've read lately. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Cynthia TorresOctober 16, 2025
Such a great read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
Betty HarrisMarch 21, 2025
It was okay. It had some good moments, but the overall plot felt a bit disjointed in the second half. Might work better for someone else, just wasn't completely for me.
Christopher TurnerSeptember 07, 2025
I was pleasantly surprised. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
Jacob AllenJanuary 13, 2024
Really enjoyed this one. I loved how the story unfolded. It kept me guessing without being too confusing. Worth the time and money.
Karen HallJune 05, 2025
A solid read. It held my attention, even if a few things were a little predictable. Still a good book.
Elizabeth MartinezJuly 03, 2025
I was pleasantly surprised. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
Amanda LewisNovember 19, 2025
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
Nancy AdamsSeptember 03, 2024
A very satisfying read. I loved how the story unfolded. It kept me guessing without being too confusing. Glad I picked this up.
Anthony HernandezJuly 15, 2024
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. A solid 4 stars from me.
Nancy RodriguezMarch 15, 2024
Really enjoyed this one. I loved how the story unfolded. It kept me guessing without being too confusing. Worth the time and money.
Deborah RobinsonJanuary 28, 2025
A solid read. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Still a good book.
William MartinezOctober 20, 2024
A very satisfying read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
Joshua HernandezOctober 16, 2025
Really enjoyed this one. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
Kenneth YoungMay 13, 2025
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
Laura CarterSeptember 04, 2025
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
Susan KingJune 26, 2025
A solid read. Interesting premise and executed fairly well. Just a few slow chapters here and there. Still a good book.
Matthew MooreNovember 26, 2025
A solid read. The middle dragged a tiny bit, but the ending totally made up for it. I'd probably recommend it to a friend.
Sarah MooreSeptember 13, 2024
A very satisfying read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Kenneth ThompsonOctober 23, 2024
It was okay. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Probably won't read it again, but it was an okay way to pass the time.
Robert CruzOctober 16, 2024
Took me a few chapters to get into it, but it was worth it. The middle dragged a tiny bit, but the ending totally made up for it. Still a good book.
Melissa PerezOctober 13, 2025
I have mixed feelings about this one. It felt a bit repetitive in the middle. Could have been shorter. Might work better for someone else, just wasn't completely for me.
Nicholas WalkerOctober 07, 2025
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Definitely recommend it if you like this genre.
Andrew GomezJuly 06, 2024
A solid read. Interesting premise and executed fairly well. Just a few slow chapters here and there. Enjoyable weekend read.
Kevin LopezJune 03, 2025
Finished it in a couple of days. I loved how the story unfolded. It kept me guessing without being too confusing. Would probably read it again at some point.
Barbara ClarkApril 01, 2025
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Will be looking for more from this author.
Dorothy JacksonSeptember 24, 2025
Glad someone recommended this to me. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
Jessica CollinsJuly 21, 2024
Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Michael ScottJune 10, 2024
Took me a few chapters to get into it, but it was worth it. It held my attention, even if a few things were a little predictable. Still a good book.
Edward HillJune 17, 2025
Really enjoyed this one. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
Ryan AllenMay 11, 2025
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
John WhiteNovember 24, 2025
Really enjoyed this one. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
Cynthia NguyenDecember 07, 2025
A very satisfying read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Glad I picked this up.
James RobertsJune 08, 2024
Really enjoyed this one. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. A solid 5/5 for me.
Nancy KingOctober 19, 2024
Pretty good overall. It held my attention, even if a few things were a little predictable. I'd probably recommend it to a friend.
George MartinezAugust 30, 2024
Pretty good overall. It held my attention, even if a few things were a little predictable. I'd probably recommend it to a friend.
Edward RamirezOctober 08, 2024
A solid read. The middle dragged a tiny bit, but the ending totally made up for it. Enjoyable weekend read.
Lisa CampbellFebruary 06, 2025
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. Still a good book.
Michael JohnsonJuly 08, 2025
Really enjoyed this one. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
Paul JohnsonFebruary 15, 2024
Glad someone recommended this to me. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Glad I picked this up.
Kenneth CruzOctober 26, 2025
Good, but not quite perfect. I liked the main character, though some of the side plots were just okay. Not bad at all.
Eric ParkerFebruary 05, 2025
I was pleasantly surprised. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Worth the time and money.
George TaylorJuly 23, 2025
Took me a few chapters to get into it, but it was worth it. It held my attention, even if a few things were a little predictable. I'd probably recommend it to a friend.
Laura AdamsFebruary 07, 2025
Pretty good overall. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
Donald PhillipsAugust 11, 2024
Glad someone recommended this to me. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Worth the time and money.
Mark HallJuly 25, 2024
Good, but not quite perfect. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Still a good book.
Michelle RodriguezNovember 03, 2025
I have mixed feelings about this one. It felt a bit repetitive in the middle. Could have been shorter. Just right down the middle.
Amanda GomezSeptember 11, 2025
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
Patricia WrightJanuary 01, 2024
Pretty good overall. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Enjoyable weekend read.
Ryan WhiteNovember 01, 2025
Good, but not quite perfect. It held my attention, even if a few things were a little predictable. Still a good book.
Laura RobertsDecember 15, 2024
Finished it in a couple of days. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Glad I picked this up.
Susan AdamsJune 12, 2025
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
Nancy ThompsonMarch 04, 2025
Honestly one of the better books I've read lately. I loved how the story unfolded. It kept me guessing without being too confusing. Worth the time and money.
Melissa PerezDecember 25, 2025
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
Barbara WrightNovember 16, 2024
A very satisfying read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. A solid 5/5 for me.
Sarah MooreAugust 18, 2025
It was okay. It felt a bit repetitive in the middle. Could have been shorter. Might work better for someone else, just wasn't completely for me.
Barbara WrightJuly 22, 2025
Good, but not quite perfect. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Not bad at all.
Paul GreenOctober 17, 2024
I have mixed feelings about this one. It felt a bit repetitive in the middle. Could have been shorter. Probably won't read it again, but it was an okay way to pass the time.
