Mir Books Go Through #17 Fundamentals Of Mathematical Analysis by Ilyin and Poznyak ( Soviet Math )
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- Опубликовано: 16 окт 2024
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About the book
This book is based on the lectures read by authors at Moscow State University for a number of years.
As in Part 1, the authors strived to make presentation systematic and to set off the most important notions and theorems.
Besides the basic curriculum material, this book contains some additional questions that play an important part in various branches of modern mathematics and physics (the theory of measure and Lebesgue integrals, the theory of Hilbert spaces and of self-adjoint linear operators in these spaces, questions of regularization of Fourier series, the theory of differential forms in Euclidean spaces, etc.}. Some of the topics, such as the conditions for termwise differentiation and termwise integration of functional sequences and functional series, the theorem on the change of variables in a multiple integral, Green’s and Stokes’s formulas, necessary conditions for a bounded function to be integrable in the sense of Riemann and in the sense of Lebesgue, are treated more generally and under weaker assumptions than usual.
As in Part 1, we discuss in this book some questions related to computational mathematics, including first of all approximate cal culation of multiple integrals in the supplement to Chapter 2 and calculation of the values of functions from the approximate values of Fourier coefficients (A.N. Tichonoff’s regularization method) in the Appendix.
The material of this book, together with that of Part 1 published earlier, constitutes an entire university course in mathematical analysis.
The book was translated from the Russian by Irene Aleksanova and published in 1982.
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About Mir Books
During the Soviet Union era, several publishers Russian state published thousands of books written by Scientists, Engineers, Economists, etc. 📚
The outcome is one of the most impressive books publications in almost all fields and the best part is written by experts.👩🎓👨🔬👩🚀👨🏭👩🏫
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These are great books, I have russian edition, but MIR edition looka funtastic!
Absolutely...
looks cool. how much is the price?
Yeah. They really are.
This set was sold for $200 and currently out of stock
@@mirbooks Its too costly for me anyways.
Ouch! That is costly. If I ever win a fat lottery jackpot, I would be buying MIR books on maths and physics.
@@pinklady7184 I pray that you win a lottery😃
@@hshylla6269 This is a super rare set
I am sorry. I can not hear what you are saying. All of your videos are that way. But this one, I can not even make out one word. Please. Thank you.
I'm extremely sorry. My recording device was not good.
I have uploaded a latest video ( 30 Mathematics books ) shot in iphone and much better🙂