Math books emphasizing geometrical aspects (for differential geometry).
$begingroup$
I'm not very good at geometry, but I feel, most of the time, math concepts in calculus, linear algebra, complex analysis, abstract algebra etc. can only be intuitively understood when and if an appeal to geometry is made. Therefore, I'm looking for book recommendations to bridge this gap.
I'm looking for books:
That treat the usual subjects (algebra, complex analysis, analytic geometry, topology), etc., with a geometrical flavor, making analytic/algebraic rules and results plausible.
Introduce geometry itself and may help develop intuition and feel for the subject so I can tackle differential geometry later on.
I submitted this question based on 3Blue1Brown's videos.
geometry differential-geometry reference-request intuition
$endgroup$
add a comment |
$begingroup$
I'm not very good at geometry, but I feel, most of the time, math concepts in calculus, linear algebra, complex analysis, abstract algebra etc. can only be intuitively understood when and if an appeal to geometry is made. Therefore, I'm looking for book recommendations to bridge this gap.
I'm looking for books:
That treat the usual subjects (algebra, complex analysis, analytic geometry, topology), etc., with a geometrical flavor, making analytic/algebraic rules and results plausible.
Introduce geometry itself and may help develop intuition and feel for the subject so I can tackle differential geometry later on.
I submitted this question based on 3Blue1Brown's videos.
geometry differential-geometry reference-request intuition
$endgroup$
1
$begingroup$
You might be interested in reading Visual Complex Analysis by Needham.
$endgroup$
– littleO
Dec 28 '18 at 7:51
$begingroup$
Take a look at Fomenko's books archive.org/details/AnatolyFomenkoBooks
$endgroup$
– Jean Marie
Jan 26 at 22:18
add a comment |
$begingroup$
I'm not very good at geometry, but I feel, most of the time, math concepts in calculus, linear algebra, complex analysis, abstract algebra etc. can only be intuitively understood when and if an appeal to geometry is made. Therefore, I'm looking for book recommendations to bridge this gap.
I'm looking for books:
That treat the usual subjects (algebra, complex analysis, analytic geometry, topology), etc., with a geometrical flavor, making analytic/algebraic rules and results plausible.
Introduce geometry itself and may help develop intuition and feel for the subject so I can tackle differential geometry later on.
I submitted this question based on 3Blue1Brown's videos.
geometry differential-geometry reference-request intuition
$endgroup$
I'm not very good at geometry, but I feel, most of the time, math concepts in calculus, linear algebra, complex analysis, abstract algebra etc. can only be intuitively understood when and if an appeal to geometry is made. Therefore, I'm looking for book recommendations to bridge this gap.
I'm looking for books:
That treat the usual subjects (algebra, complex analysis, analytic geometry, topology), etc., with a geometrical flavor, making analytic/algebraic rules and results plausible.
Introduce geometry itself and may help develop intuition and feel for the subject so I can tackle differential geometry later on.
I submitted this question based on 3Blue1Brown's videos.
geometry differential-geometry reference-request intuition
geometry differential-geometry reference-request intuition
edited Dec 28 '18 at 11:57
user82261
asked Dec 28 '18 at 7:30
user82261user82261
27017
27017
1
$begingroup$
You might be interested in reading Visual Complex Analysis by Needham.
$endgroup$
– littleO
Dec 28 '18 at 7:51
$begingroup$
Take a look at Fomenko's books archive.org/details/AnatolyFomenkoBooks
$endgroup$
– Jean Marie
Jan 26 at 22:18
add a comment |
1
$begingroup$
You might be interested in reading Visual Complex Analysis by Needham.
$endgroup$
– littleO
Dec 28 '18 at 7:51
$begingroup$
Take a look at Fomenko's books archive.org/details/AnatolyFomenkoBooks
$endgroup$
– Jean Marie
Jan 26 at 22:18
1
1
$begingroup$
You might be interested in reading Visual Complex Analysis by Needham.
$endgroup$
– littleO
Dec 28 '18 at 7:51
$begingroup$
You might be interested in reading Visual Complex Analysis by Needham.
$endgroup$
– littleO
Dec 28 '18 at 7:51
$begingroup$
Take a look at Fomenko's books archive.org/details/AnatolyFomenkoBooks
$endgroup$
– Jean Marie
Jan 26 at 22:18
$begingroup$
Take a look at Fomenko's books archive.org/details/AnatolyFomenkoBooks
$endgroup$
– Jean Marie
Jan 26 at 22:18
add a comment |
0
active
oldest
votes
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%2f3054656%2fmath-books-emphasizing-geometrical-aspects-for-differential-geometry%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
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%2f3054656%2fmath-books-emphasizing-geometrical-aspects-for-differential-geometry%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
$begingroup$
You might be interested in reading Visual Complex Analysis by Needham.
$endgroup$
– littleO
Dec 28 '18 at 7:51
$begingroup$
Take a look at Fomenko's books archive.org/details/AnatolyFomenkoBooks
$endgroup$
– Jean Marie
Jan 26 at 22:18