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Best undergraduate calculus book?
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I'd like to know which are the best undergraduate calculus books for mathematicians. I'm looking for a complete and rigorous book that allows a Mathematics student to fully understand the undergraduate calculus courses.
Is there a better book than Spivak or Apostol ?
Which one do you think is the best ?
calculus
asked 2 hours ago
Ludwig Varg Lombardo
192
New contributor
Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |Â
up vote
3
down vote
favorite
I'd like to know which are the best undergraduate calculus books for mathematicians. I'm looking for a complete and rigorous book that allows a Mathematics student to fully understand the undergraduate calculus courses.
Is there a better book than Spivak or Apostol ?
Which one do you think is the best ?
calculus
asked 2 hours ago
Ludwig Varg Lombardo
192
New contributor
Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
1
Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
– Dave L. Renfro
1 hour ago
Thank you very much Dave L. Renfro.
– Ludwig Varg Lombardo
1 hour ago
add a comment |Â
up vote
3
down vote
favorite
up vote
3
down vote
favorite
I'd like to know which are the best undergraduate calculus books for mathematicians. I'm looking for a complete and rigorous book that allows a Mathematics student to fully understand the undergraduate calculus courses.
Is there a better book than Spivak or Apostol ?
Which one do you think is the best ?
calculus
asked 2 hours ago
Ludwig Varg Lombardo
192
New contributor
Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I'd like to know which are the best undergraduate calculus books for mathematicians. I'm looking for a complete and rigorous book that allows a Mathematics student to fully understand the undergraduate calculus courses.
Is there a better book than Spivak or Apostol ?
Which one do you think is the best ?
calculus
calculus
asked 2 hours ago
Ludwig Varg Lombardo
192
New contributor
Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 hours ago
Ludwig Varg Lombardo
192
New contributor
Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 hours ago
Ludwig Varg Lombardo
192
New contributor
Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 hours ago
Ludwig Varg Lombardo
192
asked 2 hours ago
Ludwig Varg Lombardo
192
192
New contributor
Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Ludwig Varg Lombardo is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
1
Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
– Dave L. Renfro
1 hour ago
Thank you very much Dave L. Renfro.
– Ludwig Varg Lombardo
1 hour ago
add a comment |Â
1
Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
– Dave L. Renfro
1 hour ago
Thank you very much Dave L. Renfro.
– Ludwig Varg Lombardo
1 hour ago
1
1
Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
– Dave L. Renfro
1 hour ago
Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
– Dave L. Renfro
1 hour ago
Thank you very much Dave L. Renfro.
– Ludwig Varg Lombardo
1 hour ago
Thank you very much Dave L. Renfro.
– Ludwig Varg Lombardo
1 hour ago
add a comment |Â
3 Answers
3
active
oldest
votes
up vote
3
down vote
Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.
answered 2 hours ago
Joel
14.2k12240
1
I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
– Joel
2 hours ago
add a comment |Â
up vote
2
down vote
If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.
answered 2 hours ago
JDivision
907
add a comment |Â
up vote
0
down vote
Calculus, 7th Edition by James Stewart
the "one and only" classics
answered 2 hours ago
user9976437
212
New contributor
user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
2
I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
– JDivision
2 hours ago
@JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
– user9976437
1 hour ago
1
Stewart is far from rigorous.
– Matematleta
1 hour ago
Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
– Ludwig Varg Lombardo
49 mins ago
add a comment |Â
3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.
answered 2 hours ago
Joel
14.2k12240
1
I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
– Joel
2 hours ago
add a comment |Â
up vote
3
down vote
Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.
answered 2 hours ago
Joel
14.2k12240
1
I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
– Joel
2 hours ago
add a comment |Â
up vote
3
down vote
up vote
3
down vote
Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.
answered 2 hours ago
Joel
14.2k12240
Spivak is aimed at mathematicians, but most others are intended for a broad scientific audience. If you have already taken undergraduate calculus, then it might be time to graduate to an Advanced Calculus/Analysis text. Rosenlicht’s Introduction to Analysis is an approachable textbook.
answered 2 hours ago
Joel
14.2k12240
answered 2 hours ago
Joel
14.2k12240
answered 2 hours ago
Joel
14.2k12240
answered 2 hours ago
Joel
14.2k12240
14.2k12240
1
I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
– Joel
2 hours ago
add a comment |Â
1
I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
– Joel
2 hours ago
1
1
I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
– Joel
2 hours ago
I should emphasize that Advanced Calculus courses are precisely those courses that aim to put undergraduate calculus in a rigorous framework.
– Joel
2 hours ago
add a comment |Â
up vote
2
down vote
If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.
answered 2 hours ago
JDivision
907
add a comment |Â
up vote
2
down vote
If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.
answered 2 hours ago
JDivision
907
add a comment |Â
up vote
2
down vote
up vote
2
down vote
If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.
answered 2 hours ago
JDivision
907
If you’re going for a standard calculus book, it does not matter. If you’re looking to truly understand the material (at least as much as you can at this level), go for Spivak. It’s a classic, filled with good exercises, and is very challenging. If you work through Spivak at this stage, you’ll be miles ahead of most people. It’ll prepare you well for analysis too.
answered 2 hours ago
JDivision
907
answered 2 hours ago
JDivision
907
answered 2 hours ago
JDivision
907
answered 2 hours ago
JDivision
907
907
add a comment |Â
add a comment |Â
up vote
0
down vote
Calculus, 7th Edition by James Stewart
the "one and only" classics
answered 2 hours ago
user9976437
212
New contributor
user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
2
I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
– JDivision
2 hours ago
@JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
– user9976437
1 hour ago
1
Stewart is far from rigorous.
– Matematleta
1 hour ago
Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
– Ludwig Varg Lombardo
49 mins ago
add a comment |Â
up vote
0
down vote
Calculus, 7th Edition by James Stewart
the "one and only" classics
answered 2 hours ago
user9976437
212
New contributor
user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
2
I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
– JDivision
2 hours ago
@JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
– user9976437
1 hour ago
1
Stewart is far from rigorous.
– Matematleta
1 hour ago
Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
– Ludwig Varg Lombardo
49 mins ago
add a comment |Â
up vote
0
down vote
up vote
0
down vote
Calculus, 7th Edition by James Stewart
the "one and only" classics
answered 2 hours ago
user9976437
212
New contributor
user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Calculus, 7th Edition by James Stewart
the "one and only" classics
answered 2 hours ago
user9976437
212
New contributor
user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered 2 hours ago
user9976437
212
New contributor
user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered 2 hours ago
user9976437
212
answered 2 hours ago
user9976437
212
212
New contributor
user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
user9976437 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
2
I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
– JDivision
2 hours ago
@JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
– user9976437
1 hour ago
1
Stewart is far from rigorous.
– Matematleta
1 hour ago
Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
– Ludwig Varg Lombardo
49 mins ago
add a comment |Â
2
I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
– JDivision
2 hours ago
@JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
– user9976437
1 hour ago
1
Stewart is far from rigorous.
– Matematleta
1 hour ago
Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
– Ludwig Varg Lombardo
49 mins ago
2
2
I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
– JDivision
2 hours ago
I disagree. Stewart is overrated. It’s as good as any other basic calculus book.
– JDivision
2 hours ago
@JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
– user9976437
1 hour ago
@JDivision But it's so popular and wildly used that it has become a "standard", plus it has useful topics for most students' needs, range from mechanics to biology, computer science, and finance. etc.
– user9976437
1 hour ago
1
1
Stewart is far from rigorous.
– Matematleta
1 hour ago
Stewart is far from rigorous.
– Matematleta
1 hour ago
Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
– Ludwig Varg Lombardo
49 mins ago
Thank you for your answer @user9976437 but for now I'm just interested in mathematical applications and a book specifically aimed at mathematicians.
– Ludwig Varg Lombardo
49 mins ago
add a comment |Â
Ludwig Varg Lombardo is a new contributor. Be nice, and check out our Code of Conduct.
Ludwig Varg Lombardo is a new contributor. Be nice, and check out our Code of Conduct.
Ludwig Varg Lombardo is a new contributor. Be nice, and check out our Code of Conduct.
Ludwig Varg Lombardo is a new contributor. Be nice, and check out our Code of Conduct.
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1
Several honors level (elementary) calculus texts are given in the first answer to Joseph Kitchen's Calculus (reference).
– Dave L. Renfro
1 hour ago
Thank you very much Dave L. Renfro.
– Ludwig Varg Lombardo
1 hour ago