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History of ODE and PDE reference request
Clash Royale CLAN TAG#URR8PPP
up vote
12
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Is there any reference (book or articles) which made the history (up to the modern times) and the conceptual development of Ordinary Differential Equations and Partial Differential Equations? It will be great if it will be mentioned the key ideas and people of the past, the problems which are to be solved nowadays and the principal directions of the present research in these fields.
Thanks a lot!
reference-request ap.analysis-of-pdes ca.classical-analysis-and-odes differential-equations ho.history-overview
edited Aug 22 at 8:12
Martin Sleziak
2,74432028
asked Aug 22 at 8:10
Bogdan
26917
add a comment |Â
up vote
12
down vote
favorite
Is there any reference (book or articles) which made the history (up to the modern times) and the conceptual development of Ordinary Differential Equations and Partial Differential Equations? It will be great if it will be mentioned the key ideas and people of the past, the problems which are to be solved nowadays and the principal directions of the present research in these fields.
Thanks a lot!
reference-request ap.analysis-of-pdes ca.classical-analysis-and-odes differential-equations ho.history-overview
edited Aug 22 at 8:12
Martin Sleziak
2,74432028
asked Aug 22 at 8:10
Bogdan
26917
2
The question was posted also at Mathematics site: History of ODE and PDE reference request.For some advice from Meta Mathoverflow see: Cross posts to Math SE (and other posts tagged (cross-posting)).
– Martin Sleziak
Aug 22 at 8:20
I'm sorry I haven't mentioned the cross-post.
– Bogdan
Aug 22 at 8:22
add a comment |Â
up vote
12
down vote
favorite
up vote
12
down vote
favorite
Is there any reference (book or articles) which made the history (up to the modern times) and the conceptual development of Ordinary Differential Equations and Partial Differential Equations? It will be great if it will be mentioned the key ideas and people of the past, the problems which are to be solved nowadays and the principal directions of the present research in these fields.
Thanks a lot!
reference-request ap.analysis-of-pdes ca.classical-analysis-and-odes differential-equations ho.history-overview
edited Aug 22 at 8:12
Martin Sleziak
2,74432028
asked Aug 22 at 8:10
Bogdan
26917
Is there any reference (book or articles) which made the history (up to the modern times) and the conceptual development of Ordinary Differential Equations and Partial Differential Equations? It will be great if it will be mentioned the key ideas and people of the past, the problems which are to be solved nowadays and the principal directions of the present research in these fields.
Thanks a lot!
reference-request ap.analysis-of-pdes ca.classical-analysis-and-odes differential-equations ho.history-overview
edited Aug 22 at 8:12
Martin Sleziak
2,74432028
asked Aug 22 at 8:10
Bogdan
26917
edited Aug 22 at 8:12
Martin Sleziak
2,74432028
edited Aug 22 at 8:12
Martin Sleziak
2,74432028
edited Aug 22 at 8:12
Martin Sleziak
2,74432028
2,74432028
asked Aug 22 at 8:10
Bogdan
26917
asked Aug 22 at 8:10
Bogdan
26917
asked Aug 22 at 8:10
Bogdan
26917
26917
2
The question was posted also at Mathematics site: History of ODE and PDE reference request.For some advice from Meta Mathoverflow see: Cross posts to Math SE (and other posts tagged (cross-posting)).
– Martin Sleziak
Aug 22 at 8:20
I'm sorry I haven't mentioned the cross-post.
– Bogdan
Aug 22 at 8:22
add a comment |Â
2
The question was posted also at Mathematics site: History of ODE and PDE reference request.For some advice from Meta Mathoverflow see: Cross posts to Math SE (and other posts tagged (cross-posting)).
– Martin Sleziak
Aug 22 at 8:20
I'm sorry I haven't mentioned the cross-post.
– Bogdan
Aug 22 at 8:22
2
2
The question was posted also at Mathematics site: History of ODE and PDE reference request.For some advice from Meta Mathoverflow see: Cross posts to Math SE (and other posts tagged (cross-posting)).
– Martin Sleziak
Aug 22 at 8:20
The question was posted also at Mathematics site: History of ODE and PDE reference request.For some advice from Meta Mathoverflow see: Cross posts to Math SE (and other posts tagged (cross-posting)).
– Martin Sleziak
Aug 22 at 8:20
I'm sorry I haven't mentioned the cross-post.
– Bogdan
Aug 22 at 8:22
I'm sorry I haven't mentioned the cross-post.
– Bogdan
Aug 22 at 8:22
add a comment |Â
4 Answers
4
active
oldest
votes
up vote
1
down vote
accepted
Another useful reference on the history of PDE theory is "The Prehistory of The Theory of Distributions" by Jesper Lützen.
answered Aug 22 at 14:28
Abdelmalek Abdesselam
10.6k12465
add a comment |Â
up vote
14
down vote
As J. Dieudonné eloquently pointed out in Chapter A V of A panorama of pure mathematics (as seen by N. Bourbaki), this is an extremely broad question:
The theory of partial differential equations has been studied incessantly
for more than two centuries. By reason of its permanent symbiosis with
almost all parts of physics, as well as its ever closer connections with many other branches of mathematics, it is one of the largest and most diverse regions of present-day mathematics, and the vastness of its bibliography defies the imagination.
For a long time, the theory of ordinary differential equations served more
or less consciously as a model for partial differential equations, and it is only rather recently that it has come to be realized that the differences between the two theories are much more numerous and more profound than the
analogies.
Dieudonné, Jean, A panorama of pure mathematics (as seen by N. Bourbaki). Transl. from the French by I. G. Macdonald, Pure and Applied Mathematics, 97. New York etc.: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. X, 289 p. (1982). ZBL0482.00003.
However, I'd like to mention at least a couple of very interesting surveys and a well-known graduate textbook:
Brézis, Haïm; Browder, Felix, Partial differential equations in the 20th century, Adv. Math. 135, No. 1, 76-144 (1998). ZBL0915.01011.
Nirenberg, Louis, Partial differential equations in the first half of the century, Pier, Jean-Paul (ed.), Development of mathematics 1900-1950. Based on a symposium organized by the Luxembourg Mathematical Society in June 1992, at Château Bourglinster, Luxembourg. Basel: Birkhäuser. 479-515 (1994). ZBL0807.01017.
Evans, Lawrence C., Partial differential equations, Graduate Studies in Mathematics 19. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4974-3/hbk). xxi, 749Â p. (2010). ZBL1194.35001.
answered Aug 22 at 8:34
Nico
15112
1
There is also a fair bit of history on the analysis side of PDEs in J. Dieudonné's History of Functional Analysis (North-Holland, 1983).
– Igor Khavkine
Aug 22 at 12:18
add a comment |Â
up vote
3
down vote
The article by Klainerman PDE AS A UNIFIED SUBJECT could be helpful too.
answered Aug 22 at 14:12
mo-user
37818
add a comment |Â
up vote
2
down vote
You might consider reading Hairer, Wanner: Analysis by Its History, which includes differential equations in its treatment, and Bertil Gustafsson Scientific Computing which focuses on the history of computational mathematics and its applications. The latter book will be published in about two months.
answered Aug 22 at 9:27
Martin Peters
891611
add a comment |Â
4 Answers
4
active
oldest
votes
4 Answers
4
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
Another useful reference on the history of PDE theory is "The Prehistory of The Theory of Distributions" by Jesper Lützen.
answered Aug 22 at 14:28
Abdelmalek Abdesselam
10.6k12465
add a comment |Â
up vote
1
down vote
accepted
Another useful reference on the history of PDE theory is "The Prehistory of The Theory of Distributions" by Jesper Lützen.
answered Aug 22 at 14:28
Abdelmalek Abdesselam
10.6k12465
add a comment |Â
up vote
1
down vote
accepted
up vote
1
down vote
accepted
Another useful reference on the history of PDE theory is "The Prehistory of The Theory of Distributions" by Jesper Lützen.
answered Aug 22 at 14:28
Abdelmalek Abdesselam
10.6k12465
Another useful reference on the history of PDE theory is "The Prehistory of The Theory of Distributions" by Jesper Lützen.
answered Aug 22 at 14:28
Abdelmalek Abdesselam
10.6k12465
answered Aug 22 at 14:28
Abdelmalek Abdesselam
10.6k12465
answered Aug 22 at 14:28
Abdelmalek Abdesselam
10.6k12465
answered Aug 22 at 14:28
Abdelmalek Abdesselam
10.6k12465
10.6k12465
add a comment |Â
add a comment |Â
up vote
14
down vote
As J. Dieudonné eloquently pointed out in Chapter A V of A panorama of pure mathematics (as seen by N. Bourbaki), this is an extremely broad question:
The theory of partial differential equations has been studied incessantly
for more than two centuries. By reason of its permanent symbiosis with
almost all parts of physics, as well as its ever closer connections with many other branches of mathematics, it is one of the largest and most diverse regions of present-day mathematics, and the vastness of its bibliography defies the imagination.
For a long time, the theory of ordinary differential equations served more
or less consciously as a model for partial differential equations, and it is only rather recently that it has come to be realized that the differences between the two theories are much more numerous and more profound than the
analogies.
Dieudonné, Jean, A panorama of pure mathematics (as seen by N. Bourbaki). Transl. from the French by I. G. Macdonald, Pure and Applied Mathematics, 97. New York etc.: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. X, 289 p. (1982). ZBL0482.00003.
However, I'd like to mention at least a couple of very interesting surveys and a well-known graduate textbook:
Brézis, Haïm; Browder, Felix, Partial differential equations in the 20th century, Adv. Math. 135, No. 1, 76-144 (1998). ZBL0915.01011.
Nirenberg, Louis, Partial differential equations in the first half of the century, Pier, Jean-Paul (ed.), Development of mathematics 1900-1950. Based on a symposium organized by the Luxembourg Mathematical Society in June 1992, at Château Bourglinster, Luxembourg. Basel: Birkhäuser. 479-515 (1994). ZBL0807.01017.
Evans, Lawrence C., Partial differential equations, Graduate Studies in Mathematics 19. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4974-3/hbk). xxi, 749Â p. (2010). ZBL1194.35001.
answered Aug 22 at 8:34
Nico
15112
1
There is also a fair bit of history on the analysis side of PDEs in J. Dieudonné's History of Functional Analysis (North-Holland, 1983).
– Igor Khavkine
Aug 22 at 12:18
add a comment |Â
up vote
14
down vote
As J. Dieudonné eloquently pointed out in Chapter A V of A panorama of pure mathematics (as seen by N. Bourbaki), this is an extremely broad question:
The theory of partial differential equations has been studied incessantly
for more than two centuries. By reason of its permanent symbiosis with
almost all parts of physics, as well as its ever closer connections with many other branches of mathematics, it is one of the largest and most diverse regions of present-day mathematics, and the vastness of its bibliography defies the imagination.
For a long time, the theory of ordinary differential equations served more
or less consciously as a model for partial differential equations, and it is only rather recently that it has come to be realized that the differences between the two theories are much more numerous and more profound than the
analogies.
Dieudonné, Jean, A panorama of pure mathematics (as seen by N. Bourbaki). Transl. from the French by I. G. Macdonald, Pure and Applied Mathematics, 97. New York etc.: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. X, 289 p. (1982). ZBL0482.00003.
However, I'd like to mention at least a couple of very interesting surveys and a well-known graduate textbook:
Brézis, Haïm; Browder, Felix, Partial differential equations in the 20th century, Adv. Math. 135, No. 1, 76-144 (1998). ZBL0915.01011.
Nirenberg, Louis, Partial differential equations in the first half of the century, Pier, Jean-Paul (ed.), Development of mathematics 1900-1950. Based on a symposium organized by the Luxembourg Mathematical Society in June 1992, at Château Bourglinster, Luxembourg. Basel: Birkhäuser. 479-515 (1994). ZBL0807.01017.
Evans, Lawrence C., Partial differential equations, Graduate Studies in Mathematics 19. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4974-3/hbk). xxi, 749Â p. (2010). ZBL1194.35001.
answered Aug 22 at 8:34
Nico
15112
1
There is also a fair bit of history on the analysis side of PDEs in J. Dieudonné's History of Functional Analysis (North-Holland, 1983).
– Igor Khavkine
Aug 22 at 12:18
add a comment |Â
up vote
14
down vote
up vote
14
down vote
As J. Dieudonné eloquently pointed out in Chapter A V of A panorama of pure mathematics (as seen by N. Bourbaki), this is an extremely broad question:
The theory of partial differential equations has been studied incessantly
for more than two centuries. By reason of its permanent symbiosis with
almost all parts of physics, as well as its ever closer connections with many other branches of mathematics, it is one of the largest and most diverse regions of present-day mathematics, and the vastness of its bibliography defies the imagination.
For a long time, the theory of ordinary differential equations served more
or less consciously as a model for partial differential equations, and it is only rather recently that it has come to be realized that the differences between the two theories are much more numerous and more profound than the
analogies.
Dieudonné, Jean, A panorama of pure mathematics (as seen by N. Bourbaki). Transl. from the French by I. G. Macdonald, Pure and Applied Mathematics, 97. New York etc.: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. X, 289 p. (1982). ZBL0482.00003.
However, I'd like to mention at least a couple of very interesting surveys and a well-known graduate textbook:
Brézis, Haïm; Browder, Felix, Partial differential equations in the 20th century, Adv. Math. 135, No. 1, 76-144 (1998). ZBL0915.01011.
Nirenberg, Louis, Partial differential equations in the first half of the century, Pier, Jean-Paul (ed.), Development of mathematics 1900-1950. Based on a symposium organized by the Luxembourg Mathematical Society in June 1992, at Château Bourglinster, Luxembourg. Basel: Birkhäuser. 479-515 (1994). ZBL0807.01017.
Evans, Lawrence C., Partial differential equations, Graduate Studies in Mathematics 19. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4974-3/hbk). xxi, 749Â p. (2010). ZBL1194.35001.
answered Aug 22 at 8:34
Nico
15112
As J. Dieudonné eloquently pointed out in Chapter A V of A panorama of pure mathematics (as seen by N. Bourbaki), this is an extremely broad question:
The theory of partial differential equations has been studied incessantly
for more than two centuries. By reason of its permanent symbiosis with
almost all parts of physics, as well as its ever closer connections with many other branches of mathematics, it is one of the largest and most diverse regions of present-day mathematics, and the vastness of its bibliography defies the imagination.
For a long time, the theory of ordinary differential equations served more
or less consciously as a model for partial differential equations, and it is only rather recently that it has come to be realized that the differences between the two theories are much more numerous and more profound than the
analogies.
Dieudonné, Jean, A panorama of pure mathematics (as seen by N. Bourbaki). Transl. from the French by I. G. Macdonald, Pure and Applied Mathematics, 97. New York etc.: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. X, 289 p. (1982). ZBL0482.00003.
However, I'd like to mention at least a couple of very interesting surveys and a well-known graduate textbook:
Brézis, Haïm; Browder, Felix, Partial differential equations in the 20th century, Adv. Math. 135, No. 1, 76-144 (1998). ZBL0915.01011.
Nirenberg, Louis, Partial differential equations in the first half of the century, Pier, Jean-Paul (ed.), Development of mathematics 1900-1950. Based on a symposium organized by the Luxembourg Mathematical Society in June 1992, at Château Bourglinster, Luxembourg. Basel: Birkhäuser. 479-515 (1994). ZBL0807.01017.
Evans, Lawrence C., Partial differential equations, Graduate Studies in Mathematics 19. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4974-3/hbk). xxi, 749Â p. (2010). ZBL1194.35001.
answered Aug 22 at 8:34
Nico
15112
answered Aug 22 at 8:34
Nico
15112
answered Aug 22 at 8:34
Nico
15112
answered Aug 22 at 8:34
Nico
15112
15112
1
There is also a fair bit of history on the analysis side of PDEs in J. Dieudonné's History of Functional Analysis (North-Holland, 1983).
– Igor Khavkine
Aug 22 at 12:18
add a comment |Â
1
There is also a fair bit of history on the analysis side of PDEs in J. Dieudonné's History of Functional Analysis (North-Holland, 1983).
– Igor Khavkine
Aug 22 at 12:18
1
1
There is also a fair bit of history on the analysis side of PDEs in J. Dieudonné's History of Functional Analysis (North-Holland, 1983).
– Igor Khavkine
Aug 22 at 12:18
There is also a fair bit of history on the analysis side of PDEs in J. Dieudonné's History of Functional Analysis (North-Holland, 1983).
– Igor Khavkine
Aug 22 at 12:18
add a comment |Â
up vote
3
down vote
The article by Klainerman PDE AS A UNIFIED SUBJECT could be helpful too.
answered Aug 22 at 14:12
mo-user
37818
add a comment |Â
up vote
3
down vote
The article by Klainerman PDE AS A UNIFIED SUBJECT could be helpful too.
answered Aug 22 at 14:12
mo-user
37818
add a comment |Â
up vote
3
down vote
up vote
3
down vote
The article by Klainerman PDE AS A UNIFIED SUBJECT could be helpful too.
answered Aug 22 at 14:12
mo-user
37818
The article by Klainerman PDE AS A UNIFIED SUBJECT could be helpful too.
answered Aug 22 at 14:12
mo-user
37818
answered Aug 22 at 14:12
mo-user
37818
answered Aug 22 at 14:12
mo-user
37818
answered Aug 22 at 14:12
mo-user
37818
37818
add a comment |Â
add a comment |Â
up vote
2
down vote
You might consider reading Hairer, Wanner: Analysis by Its History, which includes differential equations in its treatment, and Bertil Gustafsson Scientific Computing which focuses on the history of computational mathematics and its applications. The latter book will be published in about two months.
answered Aug 22 at 9:27
Martin Peters
891611
add a comment |Â
up vote
2
down vote
You might consider reading Hairer, Wanner: Analysis by Its History, which includes differential equations in its treatment, and Bertil Gustafsson Scientific Computing which focuses on the history of computational mathematics and its applications. The latter book will be published in about two months.
answered Aug 22 at 9:27
Martin Peters
891611
add a comment |Â
up vote
2
down vote
up vote
2
down vote
You might consider reading Hairer, Wanner: Analysis by Its History, which includes differential equations in its treatment, and Bertil Gustafsson Scientific Computing which focuses on the history of computational mathematics and its applications. The latter book will be published in about two months.
answered Aug 22 at 9:27
Martin Peters
891611
You might consider reading Hairer, Wanner: Analysis by Its History, which includes differential equations in its treatment, and Bertil Gustafsson Scientific Computing which focuses on the history of computational mathematics and its applications. The latter book will be published in about two months.
answered Aug 22 at 9:27
Martin Peters
891611
answered Aug 22 at 9:27
Martin Peters
891611
answered Aug 22 at 9:27
Martin Peters
891611
answered Aug 22 at 9:27
Martin Peters
891611
891611
add a comment |Â
add a comment |Â
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2
The question was posted also at Mathematics site: History of ODE and PDE reference request.For some advice from Meta Mathoverflow see: Cross posts to Math SE (and other posts tagged (cross-posting)).
– Martin Sleziak
Aug 22 at 8:20
I'm sorry I haven't mentioned the cross-post.
– Bogdan
Aug 22 at 8:22