# Lectures on Mathematics

## Felix Klein

Valutazione media 3
( su 1 valutazioni fornite da GoodReads )

In the late summer of 1893, following the Congress of Mathematicians held in Chicago, Felix Klein gave two weeks of lectures on the current state of mathematics. Rather than offering a universal perspective, Klein presented his personal view of the most important topics of the time. It is remarkable how most of the topics continue to be important today. Originally published in 1893 and republished by the AMS in 1911, we are pleased to bring this work into print once more with this new edition. Klein begins by highlighting the works of Clebsch and of Lie. In particular, he discusses Clebsch's work on Abelian functions and compares his approach to the theory with Riemann's more geometrical point of view. Klein devotes two lectures to Sophus Lie, focusing on his contributions to geometry, including sphere geometry and contact geometry. Klein's ability to connect different mathematical disciplines clearly comes through in his lectures on mathematical developments. For instance, he discusses recent progress in non-Euclidean geometry by emphasizing the connections to projective geometry and the role of transformation groups. In his descriptions of analytic function theory and of recent work in hyperelliptic and Abelian functions, Klein is guided by Riemann's geometric point of view. He discusses Galois theory and solutions of algebraic equations of degree five or higher by reducing them to normal forms that might be solved by non-algebraic means. Thus, as discovered by Hermite and Kronecker, the quintic can be solved "by elliptic functions". This also leads to Klein's well-known work connecting the quintic to the group of the icosahedron. Klein expounds on the roles of intuition and logical thinking in mathematics. He reflects on the influence of physics and the physical world on mathematics and, conversely, on the influence of mathematics on physics and the other natural sciences. The discussion is strikingly similar to today's discussions about "physical mathematics". There are a few other topics covered in the lectures which are somewhat removed from Klein's own work. For example, he discusses Hilbert's proof of the transcendence of certain types of numbers (including pi< and e), which Klein finds much simpler than the methods used by Lindemann to show the transcendence of pi. Also, Klein uses the example of quadratic forms (and forms of higher degree) to explain the need for a theory of ideals as developed by Kummer. Klein's look at mathematics at the end of the 19th Century remains compelling today, both as history and as mathematics. It is delightful and fascinating to observe from a one-hundred year retrospect, the musings of one of the masters of an earlier era.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Sinossi:

Book by Felix Klein

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Compra nuovo Guarda l'articolo
EUR 25,45

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.

Destinazione, tempi e costi

Aggiungere al carrello

## 1.Lectures on Mathematics (Hardback)

Editore: American Mathematical Society, United States (2000)
ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Rilegato Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria

Descrizione libro American Mathematical Society, United States, 2000. Hardback. Condizione libro: New. 228 x 156 mm. Language: English . Brand New Book. In the late summer of 1893, following the Congress of Mathematicians held in Chicago, Felix Klein gave two weeks of lectures on the current state of mathematics. Rather than offering a universal perspective, Klein presented his personal view of the most important topics of the time. It is remarkable how most of the topics continue to be important today. Originally published in 1893 and reissued by the AMS in 1911, we are pleased to bring this work into print once more with this new edition. Klein begins by highlighting the works of Clebsch and of Lie. In particular, he discusses Clebsch s work on Abelian functions and compares his approach to the theory with Riemann s more geometrical point of view. Klein devotes two lectures to Sophus Lie, focussing on his contributions to geometry, including sphere geometry and contact geometry.Klein s ability to connect different mathematical disciplines clearly comes through in his lectures on mathematical developments. For instance, he discusses recent progress in non-Euclidean geometry by emphasizing the connections to projective geometry and the role of transformation groups. In his descriptions of analytic function theory and of recent work in hyperelliptic and Abelian functions, Klein is guided by Riemann s geometric point of view. He discusses Galois theory and solutions of algebraic equations of degree five or higher by reducing them to normal forms that might be solved by non-algebraic means. Thus, as discovered by Hermite and Kronecker, the quintic can be solved by elliptic functions .This also leads to Klein s well-known work connecting the quintic to the group of the icosahedron. Klein expounds on the roles of intuition and logical thinking in mathematics. He reflects on the influence of physics and the physical world on mathematics and, conversely, on the influence of mathematics on physics and the other natural sciences. The discussion is strikingly similar to today s discussions about physical mathematics . There are a few other topics covered in the lectures which are somewhat removed from Klein s own work. For example, he discusses Hilbert s proof of the transcendence of certain types of numbers (including $pi$ and $e$), which Klein finds much simpler than the methods used by Lindemann to show the transcendence of $pi$.Also, Klein uses the example of quadratic forms (and forms of higher degree) to explain the need for a theory of ideals as developed by Kummer. Klein s look at mathematics at the end of the 19th Century remains compelling today, both as history and as mathematics. It is delightful and fascinating to observe from a one-hundred year retrospect, the musings of one of the masters of an earlier era. Codice libro della libreria AAN9780821827338

Compra nuovo
EUR 25,45
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 2.Lectures on Mathematics (Hardback)

Editore: American Mathematical Society, United States (2000)
ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Rilegato Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria

Descrizione libro American Mathematical Society, United States, 2000. Hardback. Condizione libro: New. 228 x 156 mm. Language: English . Brand New Book. In the late summer of 1893, following the Congress of Mathematicians held in Chicago, Felix Klein gave two weeks of lectures on the current state of mathematics. Rather than offering a universal perspective, Klein presented his personal view of the most important topics of the time. It is remarkable how most of the topics continue to be important today. Originally published in 1893 and reissued by the AMS in 1911, we are pleased to bring this work into print once more with this new edition. Klein begins by highlighting the works of Clebsch and of Lie. In particular, he discusses Clebsch s work on Abelian functions and compares his approach to the theory with Riemann s more geometrical point of view. Klein devotes two lectures to Sophus Lie, focussing on his contributions to geometry, including sphere geometry and contact geometry.Klein s ability to connect different mathematical disciplines clearly comes through in his lectures on mathematical developments. For instance, he discusses recent progress in non-Euclidean geometry by emphasizing the connections to projective geometry and the role of transformation groups. In his descriptions of analytic function theory and of recent work in hyperelliptic and Abelian functions, Klein is guided by Riemann s geometric point of view. He discusses Galois theory and solutions of algebraic equations of degree five or higher by reducing them to normal forms that might be solved by non-algebraic means. Thus, as discovered by Hermite and Kronecker, the quintic can be solved by elliptic functions .This also leads to Klein s well-known work connecting the quintic to the group of the icosahedron. Klein expounds on the roles of intuition and logical thinking in mathematics. He reflects on the influence of physics and the physical world on mathematics and, conversely, on the influence of mathematics on physics and the other natural sciences. The discussion is strikingly similar to today s discussions about physical mathematics . There are a few other topics covered in the lectures which are somewhat removed from Klein s own work. For example, he discusses Hilbert s proof of the transcendence of certain types of numbers (including $pi$ and $e$), which Klein finds much simpler than the methods used by Lindemann to show the transcendence of $pi$.Also, Klein uses the example of quadratic forms (and forms of higher degree) to explain the need for a theory of ideals as developed by Kummer. Klein s look at mathematics at the end of the 19th Century remains compelling today, both as history and as mathematics. It is delightful and fascinating to observe from a one-hundred year retrospect, the musings of one of the masters of an earlier era. Codice libro della libreria AAN9780821827338

Compra nuovo
EUR 25,46
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 3.Lectures On Mathematics

ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Quantità: 3
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria

Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218273380000000

Compra nuovo
EUR 25,46
Convertire valuta
Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

## 4.Lectures on Mathematics (AMS Chelsea Publishing)

Editore: American Mathematical Society (2000)
ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Rilegato Quantità: > 20
Da
Sequitur Books
(Boonsboro, MD, U.S.A.)
Valutazione libreria

Descrizione libro American Mathematical Society, 2000. Hardcover. Condizione libro: New. Brand new. We distribute directly for the publisher. In the late summer of 1893, following the Congress of Mathematicians held in Chicago, Felix Klein gave two weeks of lectures on the current state of mathematics. Rather than offering a universal perspective, Klein presented his personal view of the most important topics of the time. It is remarkable how most of the topics continue to be important today. Originally published in 1893 and reissued by the AMS in 1911, we are pleased to bring this work into print once more with this new edition.Klein begins by highlighting the works of Clebsch and of Lie. In particular, he discusses Clebsch's work on Abelian functions and compares his approach to the theory with Riemann's more geometrical point of view. Klein devotes two lectures to Sophus Lie, focussing on his contributions to geometry, including sphere geometry and contact geometry.Klein's ability to connect different mathematical disciplines clearly comes through in his lectures on mathematical developments. For instance, he discusses recent progress in non-Euclidean geometry by emphasizing the connections to projective geometry and the role of transformation groups. In his descriptions of analytic function theory and of recent work in hyperelliptic and Abelian functions, Klein is guided by Riemann's geometric point of view. He discusses Galois theory and solutions of algebraic equations of degree five or higher by reducing them to normal forms that might be solved by non-algebraic means. Thus, as discovered by Hermite and Kronecker, the quintic can be solved "by elliptic functions". This also leads to Klein's well-known work connecting the quintic to the group of the icosahedron.Klein expounds on the roles of intuition and logical thinking in mathematics. He reflects on the influence of physics and the physical world on mathematics and, conversely, on the influence of mathematics on physics and the other natural sciences. The discussion is strikingly similar to today's discussions about "physical mathematics".There are a few other topics covered in the lectures which are somewhat removed from Klein's own work. For example, he discusses Hilbert's proof of the transcendence of certain types of numbers (including $\pi$ and $e$), which Klein finds much simpler than the methods used by Lindemann to show the transcendence of $\pi$. Also, Klein uses the example of quadratic forms (and forms of higher degree) to explain the need for a theory of ideals as developed by Kummer.Klein's look at mathematics at the end of the 19th Century remains compelling today, both as history and as mathematics. It is delightful and fascinating to observe from a one-hundred year retrospect, the musings of one of the masters of an earlier era. Codice libro della libreria 1007090031

Compra nuovo
EUR 23,41
Convertire valuta
Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

## 5.Lectures on Mathematics

Editore: American Mathematical Society
ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Rilegato Quantità: 3
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria

Descrizione libro American Mathematical Society. Hardback. Condizione libro: new. BRAND NEW, Lectures on Mathematics, Felix Klein, In the late summer of 1893, following the Congress of Mathematicians held in Chicago, Felix Klein gave two weeks of lectures on the current state of mathematics. Rather than offering a universal perspective, Klein presented his personal view of the most important topics of the time. It is remarkable how most of the topics continue to be important today. Originally published in 1893 and reissued by the AMS in 1911, we are pleased to bring this work into print once more with this new edition. Klein begins by highlighting the works of Clebsch and of Lie. In particular, he discusses Clebsch's work on Abelian functions and compares his approach to the theory with Riemann's more geometrical point of view. Klein devotes two lectures to Sophus Lie, focussing on his contributions to geometry, including sphere geometry and contact geometry.Klein's ability to connect different mathematical disciplines clearly comes through in his lectures on mathematical developments. For instance, he discusses recent progress in non-Euclidean geometry by emphasizing the connections to projective geometry and the role of transformation groups. In his descriptions of analytic function theory and of recent work in hyperelliptic and Abelian functions, Klein is guided by Riemann's geometric point of view. He discusses Galois theory and solutions of algebraic equations of degree five or higher by reducing them to normal forms that might be solved by non-algebraic means. Thus, as discovered by Hermite and Kronecker, the quintic can be solved 'by elliptic functions'.This also leads to Klein's well-known work connecting the quintic to the group of the icosahedron. Klein expounds on the roles of intuition and logical thinking in mathematics. He reflects on the influence of physics and the physical world on mathematics and, conversely, on the influence of mathematics on physics and the other natural sciences. The discussion is strikingly similar to today's discussions about 'physical mathematics'. There are a few other topics covered in the lectures which are somewhat removed from Klein's own work. For example, he discusses Hilbert's proof of the transcendence of certain types of numbers (including $\pi$ and $e$), which Klein finds much simpler than the methods used by Lindemann to show the transcendence of $\pi$.Also, Klein uses the example of quadratic forms (and forms of higher degree) to explain the need for a theory of ideals as developed by Kummer. Klein's look at mathematics at the end of the 19th Century remains compelling today, both as history and as mathematics. It is delightful and fascinating to observe from a one-hundred year retrospect, the musings of one of the masters of an earlier era. Codice libro della libreria B9780821827338

Compra nuovo
EUR 21,11
Convertire valuta
Spese di spedizione: EUR 6,89
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 6.Lectures on Mathematics

Editore: American Mathematical Society (2000)
ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Quantità: 3
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria

Descrizione libro American Mathematical Society, 2000. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821827338

Compra nuovo
EUR 22,30
Convertire valuta
Spese di spedizione: EUR 10,45
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 7.Lectures on Mathematics

Editore: Amer Mathematical Society (2000)
ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Rilegato Quantità: 2
Da
Revaluation Books
(Exeter, Regno Unito)
Valutazione libreria

Descrizione libro Amer Mathematical Society, 2000. Hardcover. Condizione libro: Brand New. n edition. 109 pages. 9.00x6.00x0.50 inches. In Stock. Codice libro della libreria __0821827332

Compra nuovo
EUR 29,52
Convertire valuta
Spese di spedizione: EUR 6,96
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 8.Lectures on Mathematics (AMS Chelsea Publishing)

Editore: American Mathematical Society (2000)
ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Rilegato Quantità: 1
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria

Descrizione libro American Mathematical Society, 2000. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0821827332

Compra nuovo
EUR 35,35
Convertire valuta
Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi

## 9.Lectures on Mathematics (AMS Chelsea Publishing)

Editore: American Mathematical Society (2000)
ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Rilegato Quantità: 1
Da
Irish Booksellers
(Rumford, ME, U.S.A.)
Valutazione libreria

Descrizione libro American Mathematical Society, 2000. Hardcover. Condizione libro: New. book. Codice libro della libreria 0821827332

Compra nuovo
EUR 39,46
Convertire valuta
Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

## 10.Lectures on Mathematics (AMS Chelsea Publishing)

Editore: American Mathematical Society (2000)
ISBN 10: 0821827332 ISBN 13: 9780821827338
Nuovi Rilegato Quantità: 3
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria

Descrizione libro American Mathematical Society, 2000. Hardcover. Condizione libro: New. Codice libro della libreria P110821827332

Compra nuovo
EUR 50,09
Convertire valuta
Spese di spedizione: EUR 2,77
In U.S.A.
Destinazione, tempi e costi