
Introduction to Calculus and Analysis. Volume II/2 Chapters 5-8
Richard courant (author)|fritz john (author)
Résumé
Biography of Richard Courant
Richard Courant was born in 1888 in a small town of what is now Poland, and died in New Rochelle, N.Y. in 1972. He received his doctorate from the legendary David Hilbert in Göttingen, where later he founded and directed its famed mathematics Institute, a Mecca for mathematicians in the twenties. In 1933 the Nazi government dismissed Courant for being Jewish, and he emigrated to the United States. He found, in New York, what he called "a reservoir of talent" to be tapped. He built, at New York University, a new mathematical Sciences Institute that shares the philosophy of its illustrious predecessor and rivals it in worldwide influence.
For Courant mathematics was an adventure, with applications forming a vital part. This spirit is reflected in his books, in particular in his influential calculus text, revised in collaboration with his brilliant younger colleague, Fritz John.
(P.D. Lax)
Biography of Fritz John
Fritz John was born on June 14, 1910, in Berlin. After his school years in Danzig (now Gdansk, Poland), he studied in Göttingen and received his doctorate in 1933, just when the Nazi regime came to power. As he was half-Jewish and his bride Aryan, he had to flee Germany in 1934. After a year in Cambridge, UK, he accepted a position at the University of Kentucky, and in 1946 joined Courant, Friedrichs and Stoker in building up New York University the institute that later became the Courant Institute of Mathematical Sciences. He remained there until his death in New Rochelle on February 10, 1994.
John's research and the books he wrote had a strong impact on the development of many fields of mathematics, foremost in partial differential equations. He also worked on Radon transforms, illposed problems, convex geometry, numerical analysis, elasticity theory. In connection with his work in latter field, he and Nirenberg introduced the space of the BMO-functions (bounded mean oscillations). Fritz John's work exemplifies the unity of mathematics as well as its elegance and its beauty.
(J. Moser)
Differential Equations: The Differential Equations for the Motion of a Particle in Three Dimensions; The General Linear Differential Equation of the First Order; Linear Differential Equations of Higher Order; General Differential Equations of the First Order; Systems of Differential Equations and Differential Equations of Higher Order; Integration by the Method of Undermined Coefficients; The Potential of Attracting Charges and Laplace's Equation; Further Examples of Partial Differential Equations from Mathematical Physics .-
Calculus of Variations: Functions and Their Extreme Values of a Functional; Generalizations; Problems Involving Subsidiary Conditions. Lagrange Multipliers.-
Functions of a Complex Variable: Complex Functions Represented by Power Series; Foundations of the General Theory of Functions of a Complex Variable; The Integration of Analytic Functions; Cauchy's Formula and Its Applications; Applications to Complex Integration (Contour Integration); Many-Valued Functions and Analytic Extension.- List of Biographical Dates
Index
From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
Caractéristiques techniques
PAPIER | |
Éditeur(s) | Springer |
Auteur(s) | Richard courant (author)|fritz john (author) |
Parution | 30/11/1999 |
EAN13 | 9783540665700 |
Avantages Eyrolles.com
Consultez aussi
- Les meilleures ventes en Graphisme & Photo
- Les meilleures ventes en Informatique
- Les meilleures ventes en Construction
- Les meilleures ventes en Entreprise & Droit
- Les meilleures ventes en Sciences
- Les meilleures ventes en Littérature
- Les meilleures ventes en Arts & Loisirs
- Les meilleures ventes en Vie pratique
- Les meilleures ventes en Voyage et Tourisme
- Les meilleures ventes en BD et Jeunesse