Mixing
Reference Request: Multivariable Calculus text
$begingroup$
As a high school student who wishes to become a number theorist, which multivariable calculus text should I follow? I have a pretty good understanding of single-variable calculus (From MIT OCW and few other online courses) and elementary number theory (from David.M.Burton's Elementary Number Theory).
multivariable-calculus reference-request
edited Jan 22 at 7:20
Naman Kumar
22813
asked Jan 22 at 7:08
Venkaat BalajeVenkaat Balaje
115
$endgroup$
add a comment |
$begingroup$
As a high school student who wishes to become a number theorist, which multivariable calculus text should I follow? I have a pretty good understanding of single-variable calculus (From MIT OCW and few other online courses) and elementary number theory (from David.M.Burton's Elementary Number Theory).
multivariable-calculus reference-request
edited Jan 22 at 7:20
Naman Kumar
22813
asked Jan 22 at 7:08
Venkaat BalajeVenkaat Balaje
115
$endgroup$
1
$begingroup$
I think that understanding the intuition behind multivariable calculus is much easier than understanding how to develop the subject rigorously. Some good intuition can be found in Griffiths's Electrodynamics textbook and in the book Div, Grad, Curl and All That. For a more rigorous treatment, I like Folland's vector calculus book, as well as Hubbard and Hubbard, and the first half of Calculus on Manifolds by Spivak.
$endgroup$
– littleO
Jan 22 at 7:30
add a comment |
$begingroup$
As a high school student who wishes to become a number theorist, which multivariable calculus text should I follow? I have a pretty good understanding of single-variable calculus (From MIT OCW and few other online courses) and elementary number theory (from David.M.Burton's Elementary Number Theory).
multivariable-calculus reference-request
edited Jan 22 at 7:20
Naman Kumar
22813
asked Jan 22 at 7:08
Venkaat BalajeVenkaat Balaje
115
$endgroup$
As a high school student who wishes to become a number theorist, which multivariable calculus text should I follow? I have a pretty good understanding of single-variable calculus (From MIT OCW and few other online courses) and elementary number theory (from David.M.Burton's Elementary Number Theory).
multivariable-calculus reference-request
multivariable-calculus reference-request
edited Jan 22 at 7:20
Naman Kumar
22813
asked Jan 22 at 7:08
Venkaat BalajeVenkaat Balaje
115
edited Jan 22 at 7:20
Naman Kumar
22813
asked Jan 22 at 7:08
Venkaat BalajeVenkaat Balaje
115
edited Jan 22 at 7:20
Naman Kumar
22813
edited Jan 22 at 7:20
Naman Kumar
22813
edited Jan 22 at 7:20
Naman Kumar
22813
22813
asked Jan 22 at 7:08
Venkaat BalajeVenkaat Balaje
115
asked Jan 22 at 7:08
Venkaat BalajeVenkaat Balaje
115
asked Jan 22 at 7:08
Venkaat BalajeVenkaat Balaje
115
115
1
$begingroup$
I think that understanding the intuition behind multivariable calculus is much easier than understanding how to develop the subject rigorously. Some good intuition can be found in Griffiths's Electrodynamics textbook and in the book Div, Grad, Curl and All That. For a more rigorous treatment, I like Folland's vector calculus book, as well as Hubbard and Hubbard, and the first half of Calculus on Manifolds by Spivak.
$endgroup$
– littleO
Jan 22 at 7:30
add a comment |
1
$begingroup$
I think that understanding the intuition behind multivariable calculus is much easier than understanding how to develop the subject rigorously. Some good intuition can be found in Griffiths's Electrodynamics textbook and in the book Div, Grad, Curl and All That. For a more rigorous treatment, I like Folland's vector calculus book, as well as Hubbard and Hubbard, and the first half of Calculus on Manifolds by Spivak.
$endgroup$
– littleO
Jan 22 at 7:30
1
1
$begingroup$
I think that understanding the intuition behind multivariable calculus is much easier than understanding how to develop the subject rigorously. Some good intuition can be found in Griffiths's Electrodynamics textbook and in the book Div, Grad, Curl and All That. For a more rigorous treatment, I like Folland's vector calculus book, as well as Hubbard and Hubbard, and the first half of Calculus on Manifolds by Spivak.
$endgroup$
– littleO
Jan 22 at 7:30
$begingroup$
I think that understanding the intuition behind multivariable calculus is much easier than understanding how to develop the subject rigorously. Some good intuition can be found in Griffiths's Electrodynamics textbook and in the book Div, Grad, Curl and All That. For a more rigorous treatment, I like Folland's vector calculus book, as well as Hubbard and Hubbard, and the first half of Calculus on Manifolds by Spivak.
$endgroup$
– littleO
Jan 22 at 7:30
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
I am actually someone in the same position, and I would like to say that I myself found MIT OCW inadequate while talking about single variable calculus. I would recommend you the following books for brushing up on them:
1) Calculus, by Michael Spivak: Quite hard, but will be really helpful. I believe that this is the standard Calulus text.
2) Thomas' Calculus: Try the old editions if possible. The new editions are a little too friendly.
For multivariable calculus, I found Multivariable Calculus with Vectors by Hartley Rogers Jr quite useful, though I have to say that it gets fairly advanced quickly.
I guess you would also be interested in proof writing, so you can check up books on that as well. You can try How to Prove it, by Velleman. I haven't used it myself, but a friend told me that it was a great book.
answered Jan 22 at 7:14
Naman KumarNaman Kumar
22813
$endgroup$
$begingroup$
Well,I have been involved with Math Olympiads for the past 2 years, so I won't be needing much of help in proof-writing.Thanks for the references!
$endgroup$
– Venkaat Balaje
Jan 22 at 9:34
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3082838%2freference-request-multivariable-calculus-text%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I am actually someone in the same position, and I would like to say that I myself found MIT OCW inadequate while talking about single variable calculus. I would recommend you the following books for brushing up on them:
1) Calculus, by Michael Spivak: Quite hard, but will be really helpful. I believe that this is the standard Calulus text.
2) Thomas' Calculus: Try the old editions if possible. The new editions are a little too friendly.
For multivariable calculus, I found Multivariable Calculus with Vectors by Hartley Rogers Jr quite useful, though I have to say that it gets fairly advanced quickly.
I guess you would also be interested in proof writing, so you can check up books on that as well. You can try How to Prove it, by Velleman. I haven't used it myself, but a friend told me that it was a great book.
answered Jan 22 at 7:14
Naman KumarNaman Kumar
22813
$endgroup$
$begingroup$
Well,I have been involved with Math Olympiads for the past 2 years, so I won't be needing much of help in proof-writing.Thanks for the references!
$endgroup$
– Venkaat Balaje
Jan 22 at 9:34
add a comment |
$begingroup$
I am actually someone in the same position, and I would like to say that I myself found MIT OCW inadequate while talking about single variable calculus. I would recommend you the following books for brushing up on them:
1) Calculus, by Michael Spivak: Quite hard, but will be really helpful. I believe that this is the standard Calulus text.
2) Thomas' Calculus: Try the old editions if possible. The new editions are a little too friendly.
For multivariable calculus, I found Multivariable Calculus with Vectors by Hartley Rogers Jr quite useful, though I have to say that it gets fairly advanced quickly.
I guess you would also be interested in proof writing, so you can check up books on that as well. You can try How to Prove it, by Velleman. I haven't used it myself, but a friend told me that it was a great book.
answered Jan 22 at 7:14
Naman KumarNaman Kumar
22813
$endgroup$
$begingroup$
Well,I have been involved with Math Olympiads for the past 2 years, so I won't be needing much of help in proof-writing.Thanks for the references!
$endgroup$
– Venkaat Balaje
Jan 22 at 9:34
add a comment |
$begingroup$
I am actually someone in the same position, and I would like to say that I myself found MIT OCW inadequate while talking about single variable calculus. I would recommend you the following books for brushing up on them:
1) Calculus, by Michael Spivak: Quite hard, but will be really helpful. I believe that this is the standard Calulus text.
2) Thomas' Calculus: Try the old editions if possible. The new editions are a little too friendly.
For multivariable calculus, I found Multivariable Calculus with Vectors by Hartley Rogers Jr quite useful, though I have to say that it gets fairly advanced quickly.
I guess you would also be interested in proof writing, so you can check up books on that as well. You can try How to Prove it, by Velleman. I haven't used it myself, but a friend told me that it was a great book.
answered Jan 22 at 7:14
Naman KumarNaman Kumar
22813
$endgroup$
I am actually someone in the same position, and I would like to say that I myself found MIT OCW inadequate while talking about single variable calculus. I would recommend you the following books for brushing up on them:
1) Calculus, by Michael Spivak: Quite hard, but will be really helpful. I believe that this is the standard Calulus text.
2) Thomas' Calculus: Try the old editions if possible. The new editions are a little too friendly.
For multivariable calculus, I found Multivariable Calculus with Vectors by Hartley Rogers Jr quite useful, though I have to say that it gets fairly advanced quickly.
I guess you would also be interested in proof writing, so you can check up books on that as well. You can try How to Prove it, by Velleman. I haven't used it myself, but a friend told me that it was a great book.
answered Jan 22 at 7:14
Naman KumarNaman Kumar
22813
edited Jan 22 at 7:20
answered Jan 22 at 7:14
Naman KumarNaman Kumar
22813
answered Jan 22 at 7:14
Naman KumarNaman Kumar
22813
answered Jan 22 at 7:14
Naman KumarNaman Kumar
22813
22813
$begingroup$
Well,I have been involved with Math Olympiads for the past 2 years, so I won't be needing much of help in proof-writing.Thanks for the references!
$endgroup$
– Venkaat Balaje
Jan 22 at 9:34
add a comment |
$begingroup$
Well,I have been involved with Math Olympiads for the past 2 years, so I won't be needing much of help in proof-writing.Thanks for the references!
$endgroup$
– Venkaat Balaje
Jan 22 at 9:34
$begingroup$
Well,I have been involved with Math Olympiads for the past 2 years, so I won't be needing much of help in proof-writing.Thanks for the references!
$endgroup$
– Venkaat Balaje
Jan 22 at 9:34
$begingroup$
Well,I have been involved with Math Olympiads for the past 2 years, so I won't be needing much of help in proof-writing.Thanks for the references!
$endgroup$
– Venkaat Balaje
Jan 22 at 9:34
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3082838%2freference-request-multivariable-calculus-text%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
$begingroup$
I think that understanding the intuition behind multivariable calculus is much easier than understanding how to develop the subject rigorously. Some good intuition can be found in Griffiths's Electrodynamics textbook and in the book Div, Grad, Curl and All That. For a more rigorous treatment, I like Folland's vector calculus book, as well as Hubbard and Hubbard, and the first half of Calculus on Manifolds by Spivak.
$endgroup$
– littleO
Jan 22 at 7:30