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• Sales Rank: #1650834 in Books
• Published on: 2002
• Number of items: 1
• Dimensions: 9.30" h x 1.50" w x 8.20" l,
• Binding: Hardcover

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• Model: 9788183823135
• Published on: 2015-01-01
• Dimensions: .0" h x .0" w x .0" l, .0 pounds
• Binding: Paperback
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Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese)�for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is elementary, assuming only a modest background from readers, making it suitable for a wide variety of students and course structures. Its selection of topics has been deemed "superb" by teachers who have used the text.

A significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight into the subject. Instructors and students alike will find the work to be�a significant contribution to this highly applicable and stimulating subject.

• Sales Rank: #83146 in Books
• Published on: 1992
• Original language: English
• Number of items: 1
• Dimensions: 9.21" h x .75" w x 6.14" l, 1.25 pounds
• Binding: Hardcover
• 300 pages

Review

"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry."

–Publicationes Mathematicae

"This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises."

–Newsletter of the EMS

"In the reviewer's opinion, this is a superb book which makes learning a real pleasure."

―Revue Romaine de Mathematiques Pures et Appliquees

"This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises."

―Monatshefte F. Mathematik

Language Notes
Text: English (translation)
Original Language: Portugese

About the Author

Francis Flaherty has worked for more than seventeen years at The New York Times. He has written for Harper's, Atlantic Monthly, Commonweal, and The Progressive and teaches journalism at NYU. He lives with his wife and two children in Brooklyn, New York.

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31 of 31 people found the following review helpful.
Best 1st semester Riemannian Geometry book after 1 semester DG
By Christina Sormani
This is the best Riemannian Geometry book after students have finished a semester of differential geometry. It gives geometric intuition, has plenty of exercises and

is excellent preparation for more advanced books like Cheeger-Ebin.

Students should already know differential geometry (Spivak "Calculus on manifolds" and Spivak "Differential Geometry Volume I" might be used there)

Warning: the curvature tensor is defined backwards as compared to Cheeger-Ebin.

0 of 0 people found the following review helpful.
Excellent stepping stone to more advanced treatments
By Paul A. Bonyak
Though this text lacks a categorical flavor with commutative diagrams, pull-backs, etc. it is still at an intermediate to advanced level. Nevertheless, constructs are developed which are assumed in a categorical treatment. It does do Hopf-Rinow, Rauch Comparison, and the Morse Index Theorems which you would find in a text like Bishop-Crittendon. However, it does the Sphere Theorem, an advanced theorem dependent on the Morse Theory/calculus of variations methods in differential geometry. Even "energy" is treated which is the kinetic energy functional integral used to determine minimal geodesics, reminiscent of the Maupertuis Principle in mechanics.
The reader is assumed to be familiar with differentiable manifolds but a somewhat scant Chapter 0 is given which mostly collects results which will be needed later. The treatment is dominated by the "coordinate-free" approach so emphasis is on the tangent plane or space and properties intrinsic to the surface with only a brief section on tensor methods given. Realize the tangent space has the same dimension as the surface to which it is tangent and this can be greater than 2. If you remember from advanced calculus, you took the gradient of a function of n variables (the function maps to a constant as a sphere say does). The gradient defined the normal to the(n-1) dimensional tangent hyperplane to the surface. The surface is also (n-1) dimensional since given (n-1) values to the variables the nth value is determined by the function equation implicitly. Note in this construction we used the embedding in our interpretation, nevertheless this gradient/tangent hyperplane notion can be given an intrinsically defined method of getting the tangent space through the related notion of the directional derivative. Forging this to a linear tangent space is a key construct which the reader should grasp, one not available in Gauss's lifetime. The text by Boothby is more user-friendly here and is also available online as a free PDF. Boothby essentially covers the first five chapters of do Carmo (including Chapter 0) filling in many of the gaps.
Both in Boothby and do Carmo the affine connection makes appearance axiomatically and the covariant derivative results from imposed conditions in a theorem construct. If this is a bit hard to chew (it was for me) there are exercises 1 and 2 on pp. 56-57 of do Carmo in which you are to show how the affine connection and covariant derivative arise from parallel transport. Theorem 3.12 of Chapter VII in Boothby does this a bit too formally but you can find it in various forms on the web. In particular there is a nice one where the tangent planes are related along the curve over which the parallel transport or propagation occurs resulting in a differential equation which gives both the affine connection and the covariant derivative. Just Google "parallel transport and covariant derivative."
I have certain quibbles like in defining the Riemannian metric as a bilinear symmetric form,i.e., his notation is a bit dated here and there but the text shines from chapter 5 on. So 5 stars.
P.S. There's a PDF entitled "An Introduction to Riemannian Geometry" by Sigmundur Gudmundsson which is free and short and is tailor made for do Carmo assuming only advanced calculus as in say rigorous proof of inverse function theorem or the first nine (or ten) chapters of Rudin's Principles 3rd. It does assume some familiarity with differential geometry in R^3 as in do Carmo's earlier text but you can probably fill this in from the web if you're not familiar from past coursework as in vector analysis. Differential manifold and tangent space are clearly developed without the topological detours-pretty much if you're familiar with the derivative as a linear map (as in Rudin), you're at the right level. Also Lang's "Introduction to Differentiable Manifolds" is available as a free PDF if you want to see the categorical treatment after you get through do Carmo-can also be used for reference concurrently, example-isomorphic linear spaces?

0 of 0 people found the following review helpful.
Whether To Read It
By Brook(LifeOfThePartyWoot)
:a full textbook of Riemannian geometry. it exists without linear difficulties that causes Euclidean geometry to eventually break down at points of movement.
:apparently the geometry that begins with an E and arrives from Greece is for the arrangement of numbers; thats why it looks at the sides of shapes. try and dont think its for music though.
:if youre looking for a full textbook of Riemannian geometry then look no further; and dont purchase the text by the name of Riemannian Geometry As A Field Over Another Geometry; that text is a doctoral thesis which has little or no connection to the desirable full textbook for sale on the site.

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• Sales Rank: #1867892 in Books
• Published on: 2004-06-01
• Number of items: 1
• Dimensions: 1.00 pounds
• Binding: Paperback
• 137 pages

Review
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About the Author
For over 22 years, Dr. Peter Hammond, Founder and Director of Frontline Fellowship, has pioneered missionary outreaches into the war zones of Mozambique, Angola and Sudan. Often traveling by off-road motorbike, Peter has travelled hundreds of thousands of kilometres to deliver Bibles to persecuted Christians in Africa and Eastern Europe. He is the author of Faith Under Fire in Sudan, Holocaust in Rwanda, In the Killing Fields of Mozambique, Putting Feet to Your Faith, The Greatest Century of Missions, Biblical Principles For Africa, and Character Assassins.

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This should be in the hands of every Christian
By Emma Ezer
I am a sinner saved by the grace of God who saved me and my husband when we were in our late 30s. It's been 12 years of living the Christian life, and we have spent most of it trying to learn what it truly means to love God will our heart, mind, soul, and strength, and to love our neighbour as ourselves. We also have sought long and hard to replace every anti-Christian thought, motive, and behavior that characterized our lives with Christian ones, so that we could truly have a biblical worldview in every area of life and culture to act upon, in order to advance the Kingdom of God on earth as it is in Heaven. This journey has not been easy, as we have had to go beyond our local church borders to find the truly great teachers and mentors of the faith - past and present. Dr. Hammond has not only done this himself, but he has lived out the faith for years, and shared all he has learned with the rest of us. This Discipleship Handbook is a short summary, or umbrella overview, of all the elements of a robust Christian life that not only focuses on the vertical covenantal relationship with Christ through prayer and Bible-reading, but on the horizontal - how I am to love my brothers and sisters in fellowship with them, working with them to advance the Kingdom of God for His glory, and how I am to truly love my neighbour, unbelievers, by sharing the truth with them through my evangelistic efforts, with love being defined biblically, not merely sentimentally (as much of the church does today). This book covers both doctrinal areas such as the root of the Gospel (Christ's work on the cross and God's grace in the Covenant) and the fruit of the Gospel (the redemption of not only individuals, but institutions, families, cultures and nations via the application of the Law of God), as well as practical considerations such as movies, games, pornography, restitution, handling conflicts, etc. Now that I have such a great introduction and summary guide (that is so comprehensive, many pastors and elders could use a copy), I intend to hand out a copy to new parents, new converts, and humble brothers and sisters who just "know" there is more to the Christian faith than they've been taught to date. This book puts it all together. Why it's not in use in churches everywhere is beyond me. Start with this book, and then follow up with books listed in the bibliography (which are among the ones I've been reading over the last 12 years!).

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[H406.Ebook] Free PDF The Total Fly Fishing Manual: 307 Essential Skills and Tips, by Joe Cermele, The Editors of Field and Stream

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From the same team that brought you the Total Fishing Manual , comes the book fly fishing fanatics have been waiting for: The Total Fly Fishing Manual: 307 Tips and Tricks from Expert Anglers. The Total Fly Fishing Manual is the most comprehensive collection of expert fly fishing advice and up-to-date gear reviews. This book gathers the best tips, old school-techniques that still deliver and adds a wealth of new material.�With high-quality design, intricate detail, and a durable flexicover—this manual is the perfect gift!

Filled with over 300 hints from the best anglers in both salt and fresh water, the editors of Field and Stream give you everything you need to make the perfect pitch, find a secret spot and score a fish.

TOOLS
From the best flies of all time to the best reel for the job and when to change your hooks learn about the tools you needed for the job. As well as practical skills like tying a Palomar knot, how to unravel flylines, the five-minute fly, tying a clouser minnow, and how to lose the tailing loop.
TECHNIQUES
From old to new, everything you need to know to strike in the night, put a different spin on it, spot and stalk, shoot the breeze and find where they feed.
TACTICS
Put yourself in the best position for the catch: get up the creek for a late-season trout, find a secret spot, sneak up on more fish, fish headwaters for autumn trout, fish with your eyes, hook more rising fish, take the long shot, and dominate the shoreline.

Whether you’re fishing for, salmon, bass or carp this guide will help you improve your technique, upgrade your equipment and hook your prize fish.

• Sales Rank: #108556 in Books
• Published on: 2015-05-26
• Released on: 2015-05-26
• Original language: English
• Number of items: 1
• Dimensions: 9.50" h x .70" w x 7.50" l, .0 pounds
• Binding: Paperback
• 240 pages

About the Author
Joe Cermele started his career in outdoor journalism in 2004 covering fishing tournaments for a local magazine in his home state of New Jersey. In 2005 while attending Rider University, he became an intern at "Salt Water Sportsman" magazine, joining the editorial staff full time that same year after graduation. In 2008, he moved to sister publication "Field & Stream," where he was named Fishing Editor in 2011. His writing appears monthly in the magazine, he blogs weekly on "Field & Stream"'s website, and also hosts and produces "Field & Stream"'s "Hook Shots," an award-winning web-based fishing show with a punk rock edge. Cermele has fished all over the country and abroad, but when he's not traveling on assignment, you can find him on his boat chasing tuna and striped bass off the Jersey coast, pitching tubes to smallmouth bass on the Delaware River, or flyfishing for trout in New York's Catskill Mountains.

Excerpt. � Reprinted by permission. All rights reserved.
TIP 104: TIE A FIVE-MINUTE FLY
�
The Woolly Bugger is the perfect pattern for a learning fly-tyer. It’s big, so you can see what you’re doing, and it involves only a few inexpensive materials. Even more importantly, it’s a proven producer for trout, bass, and almost anything in between.
�
STEP 1 Wrap black 6/0 thread along the length of a size 10 streamer hook. Always wrap away from yourself, over the top of the hook. If you want a beadhead bugger, slide the bead on the hook before starting your wraps.
�
STEP 2 Secure one large black marabou feather at the front of the hook, and wrap all the way back to the bend. You want to leave enough feather exposed to create a tail.
�
STEP 3 Connect a 2-inch piece of fine copper wire by the tail, and also a strand of black chenille. Wrap the thread forward, then the chenille, but leave the wire behind. Tie off the chenille with a half hitch.
�
STEP 4 Now tie on a saddle hackle feather (black or grizzly), palmer it back (wrap with spacing), and secure this with a couple of wraps of the wire. Trim the leftover hackle. Wrap the wire forward, and tie it off with the thread. Trim the excess wire.
�
STEP 5 Finish the fly with a tapered thread head. Whip- finish, apply a dab of head cement, and you’re done.

Most helpful customer reviews

4 of 4 people found the following review helpful.
Very good...
By Ralph
This book turned out to be a very good read. It is full of tips, ideas and good hints that everyone can use, beginner to experienced. I bought the e book and the only downside I can find is this. Throughout the book are recommended flies along with a thumbnail size picture. The pictures are very small and I couldn't really see much of the fly. When I double clicked on the thumbnail to make it bigger it pixelated so bad I couldn't see anything there either.

0 of 0 people found the following review helpful.
... total fly fishing guide i found a lot of useful information that i will use when i go fly ...
By paulusmc
first thank you for having this in stock this book lives up to it name it really is total fly fishing guide i found a lot of useful information that i will use when i go fly fishing . Fly fisherman is never ever done learning is sport ever.

0 of 0 people found the following review helpful.
Well worth the price!
By OpsChief
This is a great read, even for the experienced. For the novice or someone thinking about fly fishing, this is indispensable. It covers the many facets and disciplines of fly fishing (trout, salmon, bass, saltwater etc.) has great recommendations on various flies, and reminds those of us who have been fishing for a while of the little things we may have missed or forgot. Every time you read it you will gain something.

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The Total Fly Fishing Manual: 307 Essential Skills and Tips, by Joe Cermele, The Editors of Field and Stream PDF

The Total Fly Fishing Manual: 307 Essential Skills and Tips, by Joe Cermele, The Editors of Field and Stream PDF