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Calculus of Variations

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Calculus of VariationsBased on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e. g., canonical equations, variational principles of mechanics, and

Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.
The reader who merely wishes to become familiar with the most basic concepts and methods of the calculus of variations need only study the first chapter. Students wishing a more extensive treatment, however, will find the first six chapters comprise a complete university-level course in the subject, including the theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers the application of variational methods to the study of systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. The problems following each chapter were made specially for this English-language edition, and many of them comment further on corresponding parts of the text. Two appendices and suggestions for supplementary reading round out the text.
Substantially revised and corrected by the translator, this inexpensive new edition will be welcomed by advanced undergraduate and graduate students of mathematics and physics.

Binding Type: Paperback
Publisher: Dover Publications
Published: 10/16/2000
ISBN: 9780486414485
Pages: 256
Weight: 0.56lbs
Size: 8.48h x 5.35w x 0.51d

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SKU: 80467151493

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Lightweight and glowy
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I’ve been using the Naked Sundays SPF 50 Hydrating Sunscreen, and it’s quickly become a staple — especially for long days outside and on the tennis court. The texture is lightweight and smooth, and it blends in beautifully without leaving a white cast or greasy feel. What I love most is the finish: it gives a natural, healthy glow without looking shiny or heavy. It layers really well under makeup and doesn’t pill, even when I’m reapplying throughout the day. I also appreciate how hydrating it feels without clogging pores or causing breakouts. Performance-wise, it holds up well during activity and sweating (which matters for me during matches). The packaging is easy to toss in a tennis bag for quick reapplication. If I had to note one thing, it’s slightly pricier than drugstore options — but the quality and wearability make it worth it. Best for: everyday wear, outdoor sports, and anyone wanting high SPF protection with a comfortable, skin-like finish. Would absolutely repurchase.
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Stings! Waste of money! Doesn’t accept returns!
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Very disappointed with this spray sunscreen. Although I’m usually not sensitive to sunscreens or face creams in general, this product made my eyes burn and tear up so much and so fast that I’m not able to use it. Such a waste. I even tried applying while covering just my eyes to avoid that area and it still stings. And it also goes on greasy, definitely not cute glowy looking. It is not a flattering shine. For the price I’m very disappointed and even upset that I didn’t notice before buying that you cannot return it. Don’t waste your money.
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If you hate the feeling of greasy sunscreen but still want serious protection, this is the glow-up you’ve been waiting for. I use this as the last step in my morning skincare and as a top-up over makeup throughout the day. It’s lightweight, non-greasy, and gives a dewy finish without looking oily, just a fresh, hydrated glow ✨ The mist is fine and even (no big droplets or weird stickiness), and it dries down fast. No white cast, no clogged pores, no breakouts. Just SPF 50+ that actually works with your makeup instead of wrecking it. I’ve even used it midday at Disneyland and didn’t burn once, and I’m someone who burns if I think too hard about sunshine 🥵 Helpful hint: Shake it well before spraying, and hold it about 6 inches from your face for a nice even mist. One pass usually does the trick, but I like to go back over my nose and cheeks for extra protection ☁️ It also doubles as a midday makeup refresher, especially when your foundation starts looking a little dry 🧴 I brought this with me on a full weekend trip to Disneyland and it absolutely earned its spot in my park bag 🎒 I was in the sun all day, both days, and didn’t burn at all, even with minimal shade and back-to-back rides 🎢 It layered like a dream over makeup, didn’t feel heavy, and made touch-ups fast and easy in between churros. This mist officially passed the Disneyland test. 🎡☀️💕
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Good but heavy smell
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I will keep using this bc it works and the sprayer is sooo nice but the smell is so overwhelming. It’s not a bad smell but it’s just so heavy. I’ll use this one but I don’t see myself repurchasing.
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