applications of Multivariate Calculus in computer science
$begingroup$
I am currently studying Multivariate Calculus (Larson and Edwards book). I want to do a project in computer science to see some nice applications of things I am learning. Any specific source of papers/journals/books? thanks
multivariable-calculus applications
asked Feb 21 '16 at 7:23
user304876user304876
59116
$endgroup$
add a comment |
$begingroup$
I am currently studying Multivariate Calculus (Larson and Edwards book). I want to do a project in computer science to see some nice applications of things I am learning. Any specific source of papers/journals/books? thanks
multivariable-calculus applications
asked Feb 21 '16 at 7:23
user304876user304876
59116
$endgroup$
$begingroup$
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
$endgroup$
– pjs36
Feb 21 '16 at 7:36
$begingroup$
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
$endgroup$
– qbert
Jan 9 '18 at 1:06
add a comment |
$begingroup$
I am currently studying Multivariate Calculus (Larson and Edwards book). I want to do a project in computer science to see some nice applications of things I am learning. Any specific source of papers/journals/books? thanks
multivariable-calculus applications
asked Feb 21 '16 at 7:23
user304876user304876
59116
$endgroup$
I am currently studying Multivariate Calculus (Larson and Edwards book). I want to do a project in computer science to see some nice applications of things I am learning. Any specific source of papers/journals/books? thanks
multivariable-calculus applications
multivariable-calculus applications
asked Feb 21 '16 at 7:23
user304876user304876
59116
asked Feb 21 '16 at 7:23
user304876user304876
59116
asked Feb 21 '16 at 7:23
user304876user304876
59116
asked Feb 21 '16 at 7:23
user304876user304876
59116
asked Feb 21 '16 at 7:23
user304876user304876
59116
59116
$begingroup$
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
$endgroup$
– pjs36
Feb 21 '16 at 7:36
$begingroup$
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
$endgroup$
– qbert
Jan 9 '18 at 1:06
add a comment |
$begingroup$
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
$endgroup$
– pjs36
Feb 21 '16 at 7:36
$begingroup$
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
$endgroup$
– qbert
Jan 9 '18 at 1:06
$begingroup$
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
$endgroup$
– pjs36
Feb 21 '16 at 7:36
$begingroup$
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
$endgroup$
– pjs36
Feb 21 '16 at 7:36
$begingroup$
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
$endgroup$
– qbert
Jan 9 '18 at 1:06
$begingroup$
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
$endgroup$
– qbert
Jan 9 '18 at 1:06
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubbabubba
30.3k33086
$endgroup$
add a comment |
$begingroup$
I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 '18 at 23:46
Mauricio Cele Lopez BelonMauricio Cele Lopez Belon
57748
$endgroup$
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%2f1665197%2fapplications-of-multivariate-calculus-in-computer-science%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubbabubba
30.3k33086
$endgroup$
add a comment |
$begingroup$
I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubbabubba
30.3k33086
$endgroup$
add a comment |
$begingroup$
I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubbabubba
30.3k33086
$endgroup$
I don't know Larson and Edwards' book, but I assume you have learned about partial derivatives, and therefore could understand simple differential geometry of surfaces (Gaussian curvature, etc). If so, write a little graphics app that lets you study the shapes of surfaces. You can create color-coded pictures where the colors indicate the slope of the surface, or various kinds of curvature. Functions like this are used in computer-aided design to judge the quality of surfaces prior to the start of manufacturing.
See this paper, especially Figure 21.
answered Feb 21 '16 at 7:58
bubbabubba
30.3k33086
answered Feb 21 '16 at 7:58
bubbabubba
30.3k33086
answered Feb 21 '16 at 7:58
bubbabubba
30.3k33086
answered Feb 21 '16 at 7:58
bubbabubba
30.3k33086
30.3k33086
add a comment |
add a comment |
$begingroup$
I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 '18 at 23:46
Mauricio Cele Lopez BelonMauricio Cele Lopez Belon
57748
$endgroup$
add a comment |
$begingroup$
I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 '18 at 23:46
Mauricio Cele Lopez BelonMauricio Cele Lopez Belon
57748
$endgroup$
add a comment |
$begingroup$
I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 '18 at 23:46
Mauricio Cele Lopez BelonMauricio Cele Lopez Belon
57748
$endgroup$
I highly recommend the book Numerical Algorithms by Justin Solomon (available online) which treats this topic thoroughly.
For instance the Back Propagation algorithm for training artificial neural networks. Mesh parameterization (e.g. texture mapping), mesh deformation, and in general, the whole Polygon Mesh Processing field, computer vision, machine learning and more.
answered Jan 8 '18 at 23:46
Mauricio Cele Lopez BelonMauricio Cele Lopez Belon
57748
answered Jan 8 '18 at 23:46
Mauricio Cele Lopez BelonMauricio Cele Lopez Belon
57748
answered Jan 8 '18 at 23:46
Mauricio Cele Lopez BelonMauricio Cele Lopez Belon
57748
answered Jan 8 '18 at 23:46
Mauricio Cele Lopez BelonMauricio Cele Lopez Belon
57748
57748
add a comment |
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%2f1665197%2fapplications-of-multivariate-calculus-in-computer-science%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
$begingroup$
You could go the opposite direction and think about the CS behind software to graph such equations. But I come bearing no references...
$endgroup$
– pjs36
Feb 21 '16 at 7:36
$begingroup$
I think multivariable calculus is need in computer graphics. This is based on a quote from one of the creators of "bug's life" in a multi book I read once as "wishing they knew more vector calc."
$endgroup$
– qbert
Jan 9 '18 at 1:06