Fractional calculus books
I'm an undergrad, and I was looking for books to study fractional calculus. I want books that has proofs, but not very rigorous ones -pure math level-.
Your recommendations is highly appreciated.
calculus fractional-calculus
asked Apr 1 '17 at 8:44
Ammar AmgadAmmar Amgad
61
add a comment |
I'm an undergrad, and I was looking for books to study fractional calculus. I want books that has proofs, but not very rigorous ones -pure math level-.
Your recommendations is highly appreciated.
calculus fractional-calculus
asked Apr 1 '17 at 8:44
Ammar AmgadAmmar Amgad
61
add a comment |
I'm an undergrad, and I was looking for books to study fractional calculus. I want books that has proofs, but not very rigorous ones -pure math level-.
Your recommendations is highly appreciated.
calculus fractional-calculus
asked Apr 1 '17 at 8:44
Ammar AmgadAmmar Amgad
61
I'm an undergrad, and I was looking for books to study fractional calculus. I want books that has proofs, but not very rigorous ones -pure math level-.
Your recommendations is highly appreciated.
calculus fractional-calculus
calculus fractional-calculus
asked Apr 1 '17 at 8:44
Ammar AmgadAmmar Amgad
61
asked Apr 1 '17 at 8:44
Ammar AmgadAmmar Amgad
61
asked Apr 1 '17 at 8:44
Ammar AmgadAmmar Amgad
61
asked Apr 1 '17 at 8:44
Ammar AmgadAmmar Amgad
61
asked Apr 1 '17 at 8:44
Ammar AmgadAmmar Amgad
61
61
add a comment |
add a comment |
3 Answers
3
active
oldest
votes
There are two Brazilians authors who published the first Fractional Calculus book in Brazil. His name is Rubens de Figueiredo Camargo and Edmundo Capelas de Oliveira, the name is: "Cálculo Fracionário". You may not findd in english, only in Portuguese. But you can find Rubens's doctoral thesis Cálculo Fracionário e Aplicações.
The text is in portuguese but you can translate it with Google. His approach is easy to understand for undergraduate level.
Hope that helped you.
answered Jan 4 at 16:49
user4642user4642
212
add a comment |
Despite its vast size of more than 1000 pages, I would definitely recommend the book of Samko, Kilbas and Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science Publishers, 1993. In my opinion, this is a very good starting point and the presentation is accessible at undergrad level (it requires a solid background of real analysis). Although several books have been published in the last decade on the topic, I still find this to be the best reference.
Another good reference -- especially if you are interested in analytical solutions of fractional-order systems -- is the book of Kaczorek, Selected Problems of Fractional Systems Theory, Springer, 2011.
answered Apr 1 '17 at 9:38
Pantelis SopasakisPantelis Sopasakis
2,007832
add a comment |
I highly recommend The Fractional Calculus by Oldham & Spanier, Dover (1974). It's brief (~200 pages) and to the point.
answered Apr 7 '17 at 23:46
Cye WaldmanCye Waldman
4,1152523
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%2f2212783%2ffractional-calculus-books%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
There are two Brazilians authors who published the first Fractional Calculus book in Brazil. His name is Rubens de Figueiredo Camargo and Edmundo Capelas de Oliveira, the name is: "Cálculo Fracionário". You may not findd in english, only in Portuguese. But you can find Rubens's doctoral thesis Cálculo Fracionário e Aplicações.
The text is in portuguese but you can translate it with Google. His approach is easy to understand for undergraduate level.
Hope that helped you.
answered Jan 4 at 16:49
user4642user4642
212
add a comment |
There are two Brazilians authors who published the first Fractional Calculus book in Brazil. His name is Rubens de Figueiredo Camargo and Edmundo Capelas de Oliveira, the name is: "Cálculo Fracionário". You may not findd in english, only in Portuguese. But you can find Rubens's doctoral thesis Cálculo Fracionário e Aplicações.
The text is in portuguese but you can translate it with Google. His approach is easy to understand for undergraduate level.
Hope that helped you.
answered Jan 4 at 16:49
user4642user4642
212
add a comment |
There are two Brazilians authors who published the first Fractional Calculus book in Brazil. His name is Rubens de Figueiredo Camargo and Edmundo Capelas de Oliveira, the name is: "Cálculo Fracionário". You may not findd in english, only in Portuguese. But you can find Rubens's doctoral thesis Cálculo Fracionário e Aplicações.
The text is in portuguese but you can translate it with Google. His approach is easy to understand for undergraduate level.
Hope that helped you.
answered Jan 4 at 16:49
user4642user4642
212
There are two Brazilians authors who published the first Fractional Calculus book in Brazil. His name is Rubens de Figueiredo Camargo and Edmundo Capelas de Oliveira, the name is: "Cálculo Fracionário". You may not findd in english, only in Portuguese. But you can find Rubens's doctoral thesis Cálculo Fracionário e Aplicações.
The text is in portuguese but you can translate it with Google. His approach is easy to understand for undergraduate level.
Hope that helped you.
answered Jan 4 at 16:49
user4642user4642
212
answered Jan 4 at 16:49
user4642user4642
212
answered Jan 4 at 16:49
user4642user4642
212
answered Jan 4 at 16:49
user4642user4642
212
212
add a comment |
add a comment |
Despite its vast size of more than 1000 pages, I would definitely recommend the book of Samko, Kilbas and Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science Publishers, 1993. In my opinion, this is a very good starting point and the presentation is accessible at undergrad level (it requires a solid background of real analysis). Although several books have been published in the last decade on the topic, I still find this to be the best reference.
Another good reference -- especially if you are interested in analytical solutions of fractional-order systems -- is the book of Kaczorek, Selected Problems of Fractional Systems Theory, Springer, 2011.
answered Apr 1 '17 at 9:38
Pantelis SopasakisPantelis Sopasakis
2,007832
add a comment |
Despite its vast size of more than 1000 pages, I would definitely recommend the book of Samko, Kilbas and Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science Publishers, 1993. In my opinion, this is a very good starting point and the presentation is accessible at undergrad level (it requires a solid background of real analysis). Although several books have been published in the last decade on the topic, I still find this to be the best reference.
Another good reference -- especially if you are interested in analytical solutions of fractional-order systems -- is the book of Kaczorek, Selected Problems of Fractional Systems Theory, Springer, 2011.
answered Apr 1 '17 at 9:38
Pantelis SopasakisPantelis Sopasakis
2,007832
add a comment |
Despite its vast size of more than 1000 pages, I would definitely recommend the book of Samko, Kilbas and Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science Publishers, 1993. In my opinion, this is a very good starting point and the presentation is accessible at undergrad level (it requires a solid background of real analysis). Although several books have been published in the last decade on the topic, I still find this to be the best reference.
Another good reference -- especially if you are interested in analytical solutions of fractional-order systems -- is the book of Kaczorek, Selected Problems of Fractional Systems Theory, Springer, 2011.
answered Apr 1 '17 at 9:38
Pantelis SopasakisPantelis Sopasakis
2,007832
Despite its vast size of more than 1000 pages, I would definitely recommend the book of Samko, Kilbas and Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach Science Publishers, 1993. In my opinion, this is a very good starting point and the presentation is accessible at undergrad level (it requires a solid background of real analysis). Although several books have been published in the last decade on the topic, I still find this to be the best reference.
Another good reference -- especially if you are interested in analytical solutions of fractional-order systems -- is the book of Kaczorek, Selected Problems of Fractional Systems Theory, Springer, 2011.
answered Apr 1 '17 at 9:38
Pantelis SopasakisPantelis Sopasakis
2,007832
answered Apr 1 '17 at 9:38
Pantelis SopasakisPantelis Sopasakis
2,007832
answered Apr 1 '17 at 9:38
Pantelis SopasakisPantelis Sopasakis
2,007832
answered Apr 1 '17 at 9:38
Pantelis SopasakisPantelis Sopasakis
2,007832
2,007832
add a comment |
add a comment |
I highly recommend The Fractional Calculus by Oldham & Spanier, Dover (1974). It's brief (~200 pages) and to the point.
answered Apr 7 '17 at 23:46
Cye WaldmanCye Waldman
4,1152523
add a comment |
I highly recommend The Fractional Calculus by Oldham & Spanier, Dover (1974). It's brief (~200 pages) and to the point.
answered Apr 7 '17 at 23:46
Cye WaldmanCye Waldman
4,1152523
add a comment |
I highly recommend The Fractional Calculus by Oldham & Spanier, Dover (1974). It's brief (~200 pages) and to the point.
answered Apr 7 '17 at 23:46
Cye WaldmanCye Waldman
4,1152523
I highly recommend The Fractional Calculus by Oldham & Spanier, Dover (1974). It's brief (~200 pages) and to the point.
answered Apr 7 '17 at 23:46
Cye WaldmanCye Waldman
4,1152523
answered Apr 7 '17 at 23:46
Cye WaldmanCye Waldman
4,1152523
answered Apr 7 '17 at 23:46
Cye WaldmanCye Waldman
4,1152523
answered Apr 7 '17 at 23:46
Cye WaldmanCye Waldman
4,1152523
4,1152523
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%2f2212783%2ffractional-calculus-books%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
