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Calculus Books, preferably Soviet.
Need an Algebra 2/Precalculus text to prepare for CalculusInsightful books on differential equations?How important is the choice of books in studying Analysis?Searching for a book that can fulfill the **prerequisites** to learn measure and integration theory
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text is quite challenging, I have no problem. But it should be interesting with proper exposition of topics.
Edit: The book should be good for self-study, preferably a textbook(again, for beginners). And it's not necessary for it to be Soviet. Just anything good. I merely like Soviet/Slavic books and so, the title.
Thanks to you all.
calculus soft-question book-recommendation
$endgroup$
|
show 1 more comment
$begingroup$
I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text is quite challenging, I have no problem. But it should be interesting with proper exposition of topics.
Edit: The book should be good for self-study, preferably a textbook(again, for beginners). And it's not necessary for it to be Soviet. Just anything good. I merely like Soviet/Slavic books and so, the title.
Thanks to you all.
calculus soft-question book-recommendation
$endgroup$
$begingroup$
It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
$endgroup$
– Michael
9 hours ago
$begingroup$
I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
$endgroup$
– Matthew Leingang
9 hours ago
$begingroup$
Do you mean written in Russian or in English by a Russian author ?
$endgroup$
– Mauro ALLEGRANZA
9 hours ago
$begingroup$
If an intro to Integration and Differentiation are provided, why not.
$endgroup$
– Sen47
9 hours ago
1
$begingroup$
Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
$endgroup$
– Mauro ALLEGRANZA
8 hours ago
|
show 1 more comment
$begingroup$
I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text is quite challenging, I have no problem. But it should be interesting with proper exposition of topics.
Edit: The book should be good for self-study, preferably a textbook(again, for beginners). And it's not necessary for it to be Soviet. Just anything good. I merely like Soviet/Slavic books and so, the title.
Thanks to you all.
calculus soft-question book-recommendation
$endgroup$
I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text is quite challenging, I have no problem. But it should be interesting with proper exposition of topics.
Edit: The book should be good for self-study, preferably a textbook(again, for beginners). And it's not necessary for it to be Soviet. Just anything good. I merely like Soviet/Slavic books and so, the title.
Thanks to you all.
calculus soft-question book-recommendation
calculus soft-question book-recommendation
edited 8 hours ago
Sen47
asked 9 hours ago
Sen47Sen47
1278 bronze badges
1278 bronze badges
$begingroup$
It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
$endgroup$
– Michael
9 hours ago
$begingroup$
I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
$endgroup$
– Matthew Leingang
9 hours ago
$begingroup$
Do you mean written in Russian or in English by a Russian author ?
$endgroup$
– Mauro ALLEGRANZA
9 hours ago
$begingroup$
If an intro to Integration and Differentiation are provided, why not.
$endgroup$
– Sen47
9 hours ago
1
$begingroup$
Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
$endgroup$
– Mauro ALLEGRANZA
8 hours ago
|
show 1 more comment
$begingroup$
It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
$endgroup$
– Michael
9 hours ago
$begingroup$
I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
$endgroup$
– Matthew Leingang
9 hours ago
$begingroup$
Do you mean written in Russian or in English by a Russian author ?
$endgroup$
– Mauro ALLEGRANZA
9 hours ago
$begingroup$
If an intro to Integration and Differentiation are provided, why not.
$endgroup$
– Sen47
9 hours ago
1
$begingroup$
Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
$endgroup$
– Mauro ALLEGRANZA
8 hours ago
$begingroup$
It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
$endgroup$
– Michael
9 hours ago
$begingroup$
It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
$endgroup$
– Michael
9 hours ago
$begingroup$
I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
$endgroup$
– Matthew Leingang
9 hours ago
$begingroup$
I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
$endgroup$
– Matthew Leingang
9 hours ago
$begingroup$
Do you mean written in Russian or in English by a Russian author ?
$endgroup$
– Mauro ALLEGRANZA
9 hours ago
$begingroup$
Do you mean written in Russian or in English by a Russian author ?
$endgroup$
– Mauro ALLEGRANZA
9 hours ago
$begingroup$
If an intro to Integration and Differentiation are provided, why not.
$endgroup$
– Sen47
9 hours ago
$begingroup$
If an intro to Integration and Differentiation are provided, why not.
$endgroup$
– Sen47
9 hours ago
1
1
$begingroup$
Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
$endgroup$
– Mauro ALLEGRANZA
8 hours ago
$begingroup$
Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
$endgroup$
– Mauro ALLEGRANZA
8 hours ago
|
show 1 more comment
4 Answers
4
active
oldest
votes
$begingroup$
A (possibly the) standard classic is:
Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.
I personally like very much the following two courses:
Л. Кудрявцев. Курс математического анализа
(there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);
V. Zorich: Mathematical Analysis
(the best existing MA course in opinion of V. Arnold).
$endgroup$
add a comment |
$begingroup$
I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.
$endgroup$
$begingroup$
Anything for theory building?
$endgroup$
– Sen47
8 hours ago
$begingroup$
There are concepts, formulas, and theorems before problems in each chapter.
$endgroup$
– xpaul
8 hours ago
$begingroup$
Thanks, upvoted.
$endgroup$
– Sen47
8 hours ago
$begingroup$
@Sen47, see the update.
$endgroup$
– xpaul
7 hours ago
$begingroup$
Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
$endgroup$
– Sen47
7 hours ago
add a comment |
$begingroup$
I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov
$endgroup$
$begingroup$
Sir, they seem to be too advanced for me...
$endgroup$
– Sen47
1 hour ago
add a comment |
$begingroup$
By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"
$endgroup$
add a comment |
Your Answer
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4 Answers
4
active
oldest
votes
4 Answers
4
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
A (possibly the) standard classic is:
Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.
I personally like very much the following two courses:
Л. Кудрявцев. Курс математического анализа
(there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);
V. Zorich: Mathematical Analysis
(the best existing MA course in opinion of V. Arnold).
$endgroup$
add a comment |
$begingroup$
A (possibly the) standard classic is:
Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.
I personally like very much the following two courses:
Л. Кудрявцев. Курс математического анализа
(there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);
V. Zorich: Mathematical Analysis
(the best existing MA course in opinion of V. Arnold).
$endgroup$
add a comment |
$begingroup$
A (possibly the) standard classic is:
Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.
I personally like very much the following two courses:
Л. Кудрявцев. Курс математического анализа
(there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);
V. Zorich: Mathematical Analysis
(the best existing MA course in opinion of V. Arnold).
$endgroup$
A (possibly the) standard classic is:
Г. Фихтенгольц. Курс дифференциального и интегрального исчисления.
I personally like very much the following two courses:
Л. Кудрявцев. Курс математического анализа
(there are several editions of, in fact, two related courses - a shorter one of two books, and a longer one of three books);
V. Zorich: Mathematical Analysis
(the best existing MA course in opinion of V. Arnold).
answered 8 hours ago
Roman HricRoman Hric
3411 silver badge5 bronze badges
3411 silver badge5 bronze badges
add a comment |
add a comment |
$begingroup$
I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.
$endgroup$
$begingroup$
Anything for theory building?
$endgroup$
– Sen47
8 hours ago
$begingroup$
There are concepts, formulas, and theorems before problems in each chapter.
$endgroup$
– xpaul
8 hours ago
$begingroup$
Thanks, upvoted.
$endgroup$
– Sen47
8 hours ago
$begingroup$
@Sen47, see the update.
$endgroup$
– xpaul
7 hours ago
$begingroup$
Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
$endgroup$
– Sen47
7 hours ago
add a comment |
$begingroup$
I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.
$endgroup$
$begingroup$
Anything for theory building?
$endgroup$
– Sen47
8 hours ago
$begingroup$
There are concepts, formulas, and theorems before problems in each chapter.
$endgroup$
– xpaul
8 hours ago
$begingroup$
Thanks, upvoted.
$endgroup$
– Sen47
8 hours ago
$begingroup$
@Sen47, see the update.
$endgroup$
– xpaul
7 hours ago
$begingroup$
Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
$endgroup$
– Sen47
7 hours ago
add a comment |
$begingroup$
I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.
$endgroup$
I would like to recommend "Problems in Mathematical Analysis Hardcover" – 1989
by Boris Demidovich (Editor), G. Yankovsky (Translator). This is a wonderful problem book which has lots of challenging problems. Another wonderful book is "Differential and integral calculus" by Grigorii Mikhailovich Fichtenholz.
edited 7 hours ago
answered 8 hours ago
xpaulxpaul
24.6k2 gold badges47 silver badges59 bronze badges
24.6k2 gold badges47 silver badges59 bronze badges
$begingroup$
Anything for theory building?
$endgroup$
– Sen47
8 hours ago
$begingroup$
There are concepts, formulas, and theorems before problems in each chapter.
$endgroup$
– xpaul
8 hours ago
$begingroup$
Thanks, upvoted.
$endgroup$
– Sen47
8 hours ago
$begingroup$
@Sen47, see the update.
$endgroup$
– xpaul
7 hours ago
$begingroup$
Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
$endgroup$
– Sen47
7 hours ago
add a comment |
$begingroup$
Anything for theory building?
$endgroup$
– Sen47
8 hours ago
$begingroup$
There are concepts, formulas, and theorems before problems in each chapter.
$endgroup$
– xpaul
8 hours ago
$begingroup$
Thanks, upvoted.
$endgroup$
– Sen47
8 hours ago
$begingroup$
@Sen47, see the update.
$endgroup$
– xpaul
7 hours ago
$begingroup$
Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
$endgroup$
– Sen47
7 hours ago
$begingroup$
Anything for theory building?
$endgroup$
– Sen47
8 hours ago
$begingroup$
Anything for theory building?
$endgroup$
– Sen47
8 hours ago
$begingroup$
There are concepts, formulas, and theorems before problems in each chapter.
$endgroup$
– xpaul
8 hours ago
$begingroup$
There are concepts, formulas, and theorems before problems in each chapter.
$endgroup$
– xpaul
8 hours ago
$begingroup$
Thanks, upvoted.
$endgroup$
– Sen47
8 hours ago
$begingroup$
Thanks, upvoted.
$endgroup$
– Sen47
8 hours ago
$begingroup$
@Sen47, see the update.
$endgroup$
– xpaul
7 hours ago
$begingroup$
@Sen47, see the update.
$endgroup$
– xpaul
7 hours ago
$begingroup$
Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
$endgroup$
– Sen47
7 hours ago
$begingroup$
Thanks, sir. I checked out Demidovich and seem to like it. Will check the other one too.
$endgroup$
– Sen47
7 hours ago
add a comment |
$begingroup$
I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov
$endgroup$
$begingroup$
Sir, they seem to be too advanced for me...
$endgroup$
– Sen47
1 hour ago
add a comment |
$begingroup$
I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov
$endgroup$
$begingroup$
Sir, they seem to be too advanced for me...
$endgroup$
– Sen47
1 hour ago
add a comment |
$begingroup$
I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov
$endgroup$
I'd like to suggest 'Introductory real Analysis' and 'Elements of the Theory of Functions and Functional Analysis ' both by A.N.Kolmogorov
answered 7 hours ago
Amit AkoskarAmit Akoskar
1248 bronze badges
1248 bronze badges
$begingroup$
Sir, they seem to be too advanced for me...
$endgroup$
– Sen47
1 hour ago
add a comment |
$begingroup$
Sir, they seem to be too advanced for me...
$endgroup$
– Sen47
1 hour ago
$begingroup$
Sir, they seem to be too advanced for me...
$endgroup$
– Sen47
1 hour ago
$begingroup$
Sir, they seem to be too advanced for me...
$endgroup$
– Sen47
1 hour ago
add a comment |
$begingroup$
By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"
$endgroup$
add a comment |
$begingroup$
By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"
$endgroup$
add a comment |
$begingroup$
By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"
$endgroup$
By Grigorii Mikhailovich Fichtenholz there is also " TheFundamentals of Mathematical Analysis"
answered 5 hours ago
Luca Goldoni Ph.D.Luca Goldoni Ph.D.
3111 silver badge4 bronze badges
3111 silver badge4 bronze badges
add a comment |
add a comment |
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$begingroup$
It sounds like you may actually want a book on "real analysis." There are several well known ones (you can Google it); I don't know about Russian ones in particular. I used a yellow book by Protter when I was in school.
$endgroup$
– Michael
9 hours ago
$begingroup$
I've read and enjoyed Kolmogorov and Fomin in English. It's more advanced than calculus (metric spaces, topological spaces, etc.), and I have know idea how the original reads. But check it out if you're interested.
$endgroup$
– Matthew Leingang
9 hours ago
$begingroup$
Do you mean written in Russian or in English by a Russian author ?
$endgroup$
– Mauro ALLEGRANZA
9 hours ago
$begingroup$
If an intro to Integration and Differentiation are provided, why not.
$endgroup$
– Sen47
9 hours ago
1
$begingroup$
Vladimir Zorich, Mathematical Analysis I & II (Springer, 2nd ed 2016).
$endgroup$
– Mauro ALLEGRANZA
8 hours ago