In this post we will see Problems and Exercises in the Calculus of
Variations by M. L. Krasnov, G. I. Makarenko, A. I. Kiselev .
The calculus of variations is one of the most important divisions of
classical mathematical analysis as regards applications.The authors’
aim was to supply the reader with a certain minimum of problems
covering the basic divisions of the classical calculus of variations,
and they deliberately avoided questions pertaining to the theory of
optimal control.
This book was translated from the Russian by George Yankovsky. The book was published by first Mir Publishers in 1975.
All credits to the original uploader.
DJVU | 3.1 MB | Pages: 221 | Bookmarked | OCR
You can get the book here.
For magnet / torrent links go here.
Password if needed: mirtitles
4-shared link here
Password, if required, for 4shared files:
www.mirtitles.org
Facing problems while extracting? See FAQs
Table of Contents
CONTENTS
Introduction 6
Preliminary Remarks 7
CHAPTER I.
THE EXTREMUM OF A FUNCTION OF MANY VARIABLES
1. Absolute Extremum 9
2. Conditional Extremum 19
CHAPTER II.
EXTREMA OF FUNCTIONALS
3. The Functional. The Variation of a Functional and Its Properties 27
4. An Elementary Problem in the Calculus of Variations. Euler’s Equation 54
5. Generalizations of the Elementary Problem of the Calculus of Variations 75
6. Invariance of Euler’s Equation 85
7. Field of Extremals 88
8. Sufficient Conditions for the Extremum of a Functional 102
9. Conditional Extremum 118
10. Moving Boundary Problems 137
11. Discontinuous Problems. One-Sided Variations 151
12. The Hamilton-Jacobi Theory. The Variational Principles of Mechanics
CHAPTER III.
DIRECT METHODS IN THE CALCULUS OF VARIATIONS
13. Euler’s Finite-Difference Method 177
14. Ritz Method. Kantorovich Method 179
15. Variational Methods for Finding Eigenvalues and Eigenfunctions 188
ANSWERS AND HINTS 202
BIBLIOGRAPHY 215
INDEX 217
Mir Books 
WONDERFUL COLLECTION OF BOOKS. THANKS FOR UPLOADING THEM
LikeLike
thanks a lot, great effort
LikeLike
Some more books below
http://archive.org/search.php?query=mir%20publishers
LikeLike
I was wondering if there is a chance of you uploading books from the Mathematical Analysis for Engineers series by M. Krasnov, A. Kiselev, G. Makarenko and I E. Shikin… It is a much needed literature for me and many of my fellow students, and I would be very grateful if you did such a thing. I, of course, supposed that you are in possession of the titles. In case I am wrong, please let me know. Thank you for a tremendous web site, all of the books that are here are an inheritance of colossal value!
LikeLike
Jovan,
We might see these books in the future, please wait.
D
LikeLike
In case you do get a hold on them, please write a response in this part of the website. Thank you once again!
LikeLike
Book cover is missing here
LikeLike
please, a book with the ALL problems solved step by step, please, i need this, anyone????
LikeLike
normalin
Are you asking for a problem book in Calculus?
LikeLike
excuse me
the password doesn’t pass with the file
LikeLike
Does anybody has problem to download in MacBook Air computer
LikeLike
@gordhan, What issue you are facing? Any error message or error code? I believe only 4 shared link is working. Try that. Remember you should log in to download the file.
LikeLike
Thanks for reply @ desperadomar, I was using was using wrong link. However, when I use 4 shared link I am facing rar file conversion problem. I just double click rar file, After log in again, read ERROR as “The archive is incomplete”.
How do you convert rar file to pdf.
Thanks
LikeLike
@Gordhan, did you provided the password for it when asked? Since the rar files are password protected (password provided in the page!). Provide the password and try to extract to a folder then you can access the pdf file. Let me know if you still face any issues.
LikeLike
pdf and djvu file available at
http://libgen.io/book/index.php?md5=886F22B5ED7572D36B0C6946384A1526 pdf and
http://libgen.io/book/index.php?md5=E4A1A290A519D020522E2576A6B22AE5 djvu
LikeLike