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A Course in Metric Geometry
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Review
"The book is well worth reading. Contributing to this are the many elementary examples with which the authors supplement the text ... Anyone who is intensely concerned with Riemmannian geometry will not pass up this book. It is so far without competition and fills a gap in the market." ---- Translated from Jahresbericht der Deutschen Mathematiker-Vereinigung
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Product details
Series: Graduate Studies in Mathematics (Book 33)
Hardcover: 417 pages
Publisher: American Mathematical Society (July 2001)
Language: English
ISBN-10: 0821821296
ISBN-13: 978-0821821299
Product Dimensions:
7.2 x 1 x 10 inches
Shipping Weight: 2 pounds (View shipping rates and policies)
Average Customer Review:
3.4 out of 5 stars
3 customer reviews
Amazon Best Sellers Rank:
#1,309,626 in Books (See Top 100 in Books)
I adopted this text for a new graduate course that I taught on Metric Geometry.The other choice was `Spaces of Nonpositive Curvature' by Bridson and Haefliger.I chose this text because it has exercises, it appears to cover nonpositive andnonnegative curvature in roughly equal proportion, and it's less than half the price of Bridson-Haefliger.Unfortunately, the book has many, many typos. Fortunately, there is an errataconsisting of ten pages that can be found by googling "burago burago ivanov errata".(Actually it's more than just a list of typos: They correct a few false proofs as well).But beware! This list of errors is not complete.My students and I have found other typos as well. Of course, a well-trainedmathematician can get past the typos, but this text is supposed to be for first year graduate students.The writing is also rough in places. For example, polyhedral complexesare not rigorously defined. The style is Russian which I like, but it'snot the best example of this type of writing. The students have told me thatthey avoid reading the text whenever possible.The one redeeming feature may be the exercises. Some of the exercisesare excellent. Also the overall choice of topics is very good.With additional work this could be a great textbook, and (five years later) I am still hoping that theauthors will take the time to go through it at least a couple of more times.For now, I have switched to Bridson-Haefliger. I have abandoned this book.
The authors present a self-contained treatment of the geometry of length spaces. They begin with the definition of length spaces, and by the final chapter cover almost all of the material in the well known survey paper by Burago, Gromov, and Perel'man. Overall, the book provides an interesting and and accessible introduction to an important class of spaces (length spaces arise as limits of sequences of Riemannian manifolds). I found it exceedingly interesting that one can build analogues of most of the concepts from Riemannian geometry using only the intrinsic metric. There is great emphasis on exposition in this book; Burago makes great effort to motivate definitions and provide interesting examples. The reader is cautioned, however, that numerous typographic errors are to be found (some in fundamental definitions).My only complaint is the uneveness of the treatment. The authors spend two chapters developing some of the basic tools of Riemannian geometry in the setting of surfaces in R^3. It seems unlikely to me that a reader who is interested in length spaces would not already have at least passing aquaintence with Riemannian geometry. This, however, is a minor point, and I can recommend the book very highly.
I am an undergraduate math student, and I encountered this book as the primary background text for a summer project in geometry. I had just been through a year or so of studying manifolds and basic Riemannian geometry, but it was my first substantial exposure to the length space approach to geometry as well as notions like curvature/Alexandrov spaces, polyhedral spaces, the hyperbolic plane, and quasi-isometries. It does a number of things very well, but it does possess some comparitively minor flaws that are nonetheless worth noting.Pros: The definitions and examples are very clearly explained and in a manner highly suitable for self-study. The exercises are challenging and they do a great deal to get the reader's hands dirty and force him/her to really process the main ideas. Most of the proofs are very well written, and the authors do a good job of demonstrating the appropriate tools and outlining the best approaches in the proofs and the examples. The authors also do a good job in general of summoning the neccessary background material without dwelling on review too extensively; you should probably have already seen the Hausdorff measure and the fundamental group before you pick up this book, but the book recalls the main concepts and results (with helpful exercises) in case your memory has faded or don't have much experience with such notions. Even the review of Riemannian geometry, which might be too long for some, is appropriate to firmly establish notation and because hyperbolic geometry and Riemannian curvature are so central to the topic of the text.Cons: Some of the key definitions and proofs (such as the triangle criterion for nonpositive/nonnegative curvature) contain typos, but for the most part they are sufficiently obvious that a critical reader will be able to figure out how to fix them with minimal confusion. While most of the proofs are easy to follow (especially the more technical proofs where lack of clarity would be a serious problem), some of the more visually-oriented proofs are very poorly written and there are precious few diagrams to compensate - see, for example, the example involving the curvature of cones over circles of various lengths. Also, the book could use some more exercises to accompany the more technical constructions. The exercises that it has are very well-chosen for the purpose of forcing the reader to internalize the relavent concepts and techniques, but some basic definition chasing to help process the harder definitions would make the process go smoother.
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Free Ebook Tandy Leather Braiding Fine Leather Book 66021-00, by David W. Morgan
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Tandy Leather Braiding Fine Leather Book 66021-00, by David W. Morgan
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Product details
Paperback: 160 pages
Publisher: Cornell Maritime Pr/Tidewater Pub; 1 edition (December 1, 2002)
Language: English
ISBN-10: 0870335448
ISBN-13: 978-0870335440
Product Dimensions:
6.8 x 0.5 x 9.8 inches
Shipping Weight: 12 ounces (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
23 customer reviews
Amazon Best Sellers Rank:
#333,504 in Books (See Top 100 in Books)
This was written by a detail person, who will tell you how to hold each finger as you braid. Great if you are comfortable with that style. Includes a number of projects, as well as brief background on leather, tools and materials. Does NOT include a great many braid patterns.
It is a really fine book. It explains how to fdo nthe different braids but te pictures could be clearer. There is the reason for the 4 star mark. I would recommend this book for a intermediate to pro leather smith as some of it has to come from knowledge already gained in the trade.
Am always looking for new things to do with leather, and look forward to seeing what I come up with.Would like to start whip making and hoping this helps out.
I like it. I think that when I have time that I can learn to do this using this book.
As described, very good
The subtitle and cover photo suggest that the book in focused on whip-making, which is not the case. While much of the text deals with the techniques that are used in whip-making, it is by no means a "how to make a whip" instructional text. Very well written with clear instructions and photographs of works in progress. Definitely recommended for people interested in leather braiding.
Well written. Easy to use.
Great leather working book.
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Free Ebook Five Little Peppers and How They Grew (Dover Children's Classics), by Margaret Sidney
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Five Little Peppers and How They Grew (Dover Children's Classics), by Margaret Sidney
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Product details
Series: Dover Children's Classics
Paperback: 224 pages
Publisher: Dover Publications (October 27, 2006)
Language: English
ISBN-10: 0486452670
ISBN-13: 978-0486452678
Product Dimensions:
5.3 x 0.4 x 8.3 inches
Shipping Weight: 7.2 ounces (View shipping rates and policies)
Average Customer Review:
4.4 out of 5 stars
250 customer reviews
Amazon Best Sellers Rank:
#317,418 in Books (See Top 100 in Books)
This is NOT the entire book. It is only part of the book and ends midway. I'm really ticked off. Also the printing is really really odd. It's an odd printing with all the text in italics.
I had this book, and all the sequels, in my Kindle for a long time. It wasn’t until the other evening, when I surprisingly came across four movies made between 1939 and 1940, based on the characters from the “Five Little Peppers†books, that I dug out the first book of the series.First, the book and the movie didn’t have much in common except for most of the characters and a few storylines. That’s the way with a lot of movie versions. And now, my book review:The author’s writing style is a bit archaic, yet charming in its own way. The reader needs to bear in mind that Margaret Sidney (the nom de plume of Harriet Mulford Stone Lothrop) wrote these books from the late nineteenth century to the early twentieth. These aren’t contemporary books, you see. Once that’s understood, the reading becomes easier.This story of a poor family whose father passed away, followed many different storylines that somehow managed to stay related to one another, yet it was disjointed some areas. Sidney’s switching names — given and nicknames alike — was distracting. Joel is Joe and Joey. Jasper is Junior and Jappy. Ben is Ebeneezer. Mrs. Pepper is Mammy and Mamsie. Polly is really Mary and Phronsie is really Sophronia, and thankfully they both stay “Polly†and “Phronsie,†respectfully, throughout.All in all, this is a good book that’s appropriate for young readers and older ones. It’s a good lesson in writing style, some interesting dialect, and the lives of a poor family who keeps positive and moral despite adversity.I look forward to keep plodding through the remaining books I have of this series.
I was delighted to discover I could instantly download to my Kindle what I presume is the Project Gutenberg free version of this nineteenth century children's classic. The formatting is not the most presentable I've ever seen in an ebook, due to missing tabs and hard returns to set off the paragraphs from each other. Fortunately, though, there are few typos, so the this version of the book is readable enough that I donated my paper copy to the library as I am gradually moving almost entirely to ebooks since I got my Kindle a year and a half ago.This book is about the Pepper family of five children and their widowed mother. "Mamsie" ekes out a bare living as a seamstress in a small New England town (the state isn't specified but perhaps is intended to be the author's native Connecticut). Though the story reads like an historical novel to modern readers, it was actually a contemporary novel when it was written in 1881. There are horse-drawn carriages instead of cars, candlelight instead of electric lamps, no running water, no refrigeration, and no central heating.The Peppers live in a "little brown house" whose furnishings are only lightly described. Perhaps this is because the house is mostly bare due to their extreme poverty, but it would have been interesting to know how the family acquired water for cooking and bathing (and how the family bathed), if they had a fireplace or a Franklin stove, or simply used the kitchen stove to heat the house in the winter. (The Little House books are great for providing these historically accurate details, but not this series.)Mrs. Pepper was widowed when her English husband died presumable shortly before or after her youngest child was born. We learn nothing about the children's father in this book as there is no attention at all to the family's "backstory." As the title of the book states, there are five siblings:Ben (Ebenezer) is twelve years old. He had to be at least eight when the father died, but he has never gone to school--though somewhere along the way he and his sister Polly learned to read and write, probably taught by their mother since any school that the children might go to would cost tuition that Mrs. Pepper cannot afford. Throughout the story, Mrs. Pepper frequently frets over how she is ever going to get enough money to pay to educate her sons (there is no real concern about educating her daughters, perhaps because females of the working class were not commonly educated at this time). Ben augments Mamsie's income by doing odd jobs such as chopping wood. Ben has a placid, phlegmatic disposition, plodding along diligently through life, sure and steady in all he does. He is utterly loyal and would make any sacrifice for his family. He and Polly are particularly close.Polly (Mary) is eleven years old. She and Ben act as second parents to their younger siblings whom they refer to as "the children." Polly has a nurturing disposition and is very motherly, but she also has a sensitive, imaginative disposition, which is a fascinating combination. She is the major focus of this book as she bustles about helping her mother with sewing, cooking meals for the family, cleaning the house, and caring for the younger children. She loves music and would give anything to be able to learn to play the piano. She adores any flowers that come her way, and the bane of her existence is the ancient wood stove she has to cook on which is full of holes that are stuffed with paper and leather from old shoes.Joel is nine years old. He has a passionate, impulsive, choleric disposition. It is very hard for him to maintain the uncomplaining, sacrificial attitude Mamsie has worked hard to instill in her children which comes easily to all the Peppers except him. He wants what he wants this instant, and he's very loud about his disappointment if he doesn't get it--in short, he's a normal boy who constantly puts the house in an uproar. Fortunately for the training Mamsie wants to instill in him, he has a warm heart and is readily brought into line with a judicious application of maternal or sisterly guilt.Davie (David) is seven years old. He has a placid, timid disposition. He is Joel's shadow and is ready to try anything Joel suggests.Phronsie (Sophronia) is four at the time of this story and is the adored baby of the family. Though she is indulged by everyone, because she is a beautiful, blond girl, she has a remarkably unspoiled disposition. She is so angelically sweet and kind to everyone, she inspires instant love in every man, woman, child, and dog who meets her.Though the family is barely scraping by, constantly on the verge of starvation (they live off whole-wheat bread, salted porridge, and potatoes), they have caring neighbors who try to help out when they can, which doesn't amount to a whole lot since everyone in the town is poor in their own way, and Mrs. Pepper is too proud to accept outright charity.Two big crises lay the Peppers low during the course of this story: all the children get measles, which almost makes Polly go blind, and Phronsie runs off with an organ grinder and his monkey, terrifying the whole village for her safety.It is this latter event which brings Jappy (Jasper) King into their lives, the thirteen-year-old son of the very rich Mr. King, a crotchety "old" man staying at a local hotel to improve his uncertain health. (Note that what was considered "old" in the latter part of the nineteenth century is not what we would consider "old" today. The average life expectancy at the turn of the twentieth century was little more than forty, and often people in their fifties in nineteenth century novels were labeled by authors as "old." Mr. King's age is never given, but I tried to figure it out this way: Mr. King is clearly a widower. Jasper has a much older sister with three sons, the oldest of which is ten at this time, meaning she is at least twenty-nine, making Mr. King very likely fifty-five or sixty years of age.) Mr. King's source of wealth isn't mentioned in the book, and we never hear of him going to work, so possibly he has inherited wealth rather than holding a job.Margaret Sidney was the pseudonym of successful, American children's author, Harriett Mulford Stone Lothrop, who was born in New Haven, Connecticut in 1844 and died in 1924, eight years after writing the last Pepper book. She began her writing career in 1878 at age thirty-four by publishing stories about Polly and Phronsie Pepper in a Boston children's magazine. She married the magazine's editor, Daniel Lothrop, who began a publishing company and published Harriett's "Five Little Peppers" series, starting in 1881. Here is a list of the twelve Pepper books by date written, which were produced over the course of thirty-five years: Five Little Peppers and How They Grew (1881) Five Little Peppers Midway (1890) Five Little Peppers Grown Up (1892) Five Little Peppers: Phronsie Pepper (1897) Five Little Peppers: The Stories Polly Pepper Told (1899) Five Little Peppers: The Adventures of Joel Pepper (1900) Five Little Peppers Abroad (1902) Five Little Peppers At School (1903) Five Little Peppers and Their Friends (1904) Five Little Peppers: Ben Pepper (1905) Five Little Peppers in the Little Brown House (1907) Five Little Peppers: Our Davie Pepper (1916)Margaret Sidney originally had no plans to write more Pepper books after the fourth book, "Phronsie Pepper", was published in 1897. She stated this firmly in her introduction to that book. However, over time the pleas of avid fans from all over the world caused her to give in and write eight more Pepper books. The events in the last eight books take place before the events of the third book in the original series of four books. If you would like to read the six main Pepper books in chronological order, rather than by publication date, this is the ideal sequence: "Five Little Peppers and How They Grew" "Five Little Peppers Midway" "Five Little Peppers Abroad" "Five Little Peppers and Their Friends" "Five Little Peppers Grown Up" "Five Little Peppers: Phronsie Pepper"If you read all the Pepper books, you will discover that the author did not take great care as to continuity in the later books, perhaps because so many years passed between writing these books. I am currently re-reading the series and have just finished this book and the second book, "Midway," and am currently reading "Abroad." In "Midway," the author states that five years have passed since the events of "How They Grew," but no ages are given for any of the children except Phronsie. We are told she is eight, which is one year younger than she ought to be if five years have passed. In "Abroad," whose events begin immediately after "Midway," Polly has her fifteenth birthday a few months into the events of the book, when it ought to be at least her sixteenth birthday given that she was eleven in the first book and presumably already fifteen or sixteen in the second book.The Pepper books are not concerned with edge-of-the-seat action, which is one of the things I personally like about them. They are products of a much slower-paced era, and it is relaxing to experience that approach to children's fiction while being warmly enfolded into the loving Pepper family.This book, and all the Pepper books, are strictly G-rated, and the values they show (not tell through preaching) are very useful ones for any child to be exposed to, including civility, kindness, consideration, keeping commitments, accepting difficult circumstances without complaint and forging through them, and so on.I highly recommend this book for all ages.
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