Tensors, Differential Forms, and Variational Principles

Tensors, Differential Forms, and Variational Principles

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by David Lovelock
     
 

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Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques, with large number of problems, from routine manipulative exercises to technically difficult assignments.

Overview

Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques, with large number of problems, from routine manipulative exercises to technically difficult assignments.

Product Details

ISBN-13:
9780486131986
Publisher:
Dover Publications
Publication date:
04/20/2012
Series:
Dover Books on Mathematics
Sold by:
Barnes & Noble
Format:
NOOK Book
Pages:
400
File size:
21 MB
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This product may take a few minutes to download.

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Tensors, Differential Forms, and Variational Principles 4.2 out of 5 based on 0 ratings. 5 reviews.
Anonymous More than 1 year ago
Amazing!
Anonymous More than 1 year ago
Yeah G1!
Anonymous More than 1 year ago
Can ah be in? Bio is at ism :D
Anonymous More than 1 year ago
Noooo! Real horses! Ahhhhhh! G3! Still good! Keep going! But... OH CELESTIA HORSES! REAL HORSES! Hey can i be in here?
Anonymous More than 1 year ago
My eyes flicker open slowly. I groan and hoast myself to my hooves; my head pounds where it struck the wall. I stumble over to Frost and Midnight and shake them into consciousness. When they are rising, I take the time to glance around. The tunnel entrance still shimmers with an invisible force. On the other side of the cavern, I see that another tunnel has opened. And a light is flickering down towards us through it. Fear grips my heart. Frost and Midnight catch my gaze, and, together, we back against the shimmering wall, not yet touching it. As the figures step into my view, I release the breath I didn't realize I was holding. "Firework! White! Autumn!" I exclaim, my eyes brightening at my friends. My smile dies, though, when I see their grim faces. What's up?" Frost asks them softly. "The changelings have invaded Ponyville." Firework growls, stomping her mechanical leg against the stone floor, producing a loud clang. "Well, how did you guys get down here?" I ask. "Sewer system. We followed it here after we heard a bang" White Raven explains, "My idea." Autumn Leaf huffs angrily, "It was my idea." She tells me, rolling her eyes at White. A small grin breaks my face. "By the way, what was the bang?" White asks, concern crossing his eyes. "Long story..." I mumble, "We just now regained consciousness..." "Are you okay?" White steps forward. "I'm fine." I snap, blushing. He tilts his head and steps back. "What is that?" Autumn asks, pointing to the shimmering wall. "No idea." Midnight says with a shake of her silver head. Firework approaches the wall, "Well, one way to find out." She puts her left foreleg up to the wall. She squeaks in surprise as it passes through, invisible on the other side. I pull her back quickly before she can fall through. With a look at my friends, I step towards the wall. "No, Moone!" White says. I arch an eyebrow at him but remn silent. I close my eyes and step through the wall, expecting death to greet me then and there. When I realize that I am still alive, I blink my eyes open, being blinded by a bright light. I stand alone in a lush, green forest. I turn around, panic building up in me. The wall! It was gone! Just then, White steps in, like a spectre stepping through a slit in the air. Autumn follows; then Frost and Midnight, and finally Firework. But something is different about them. My eyes bug out. "Moone....? You look different..." We dash to a nearby stream and stare at the reflections with confusion and amazement. <p> ~~~ <p> Our muzzles have elongated; our eyes smaller; and our cutie marks.... A necklace dangles from my neck, a sapphire moon pendant with a diamond star attatched sparkling in the sunlight. I glance to my flank; my cutie mark was gone! I look to the others; they, too, were inspecting their necklaces. White's pendant was a white crystal raven in flight. Frost's pendant was an obsidian feather edged with silver droplets. Firework's pendant is ruby fireworks. Then a though hits me. We. Were. Horses.... My mind flickers back to the time I went to Hogwarts. We saw horses there. They looked like... us... Well, except for the odd colored coats and manes, and wings and horns...