Topology, Calculus and Approximation: Springer Undergraduate Mathematics Series
Autor Vilmos Komorniken Limba Engleză Paperback – 10 apr 2017
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Specificații
ISBN-10: 1447173155
Pagini: 335
Ilustrații: XIV, 382 p. 64 illus., 1 illus. in color.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.55 kg
Ediția:1st ed. 2017
Editura: SPRINGER LONDON
Colecția Springer
Seria Springer Undergraduate Mathematics Series
Locul publicării:London, United Kingdom
Cuprins
Part 1. Topology.- Chapter 1. Metric spaces.- Chapter 2. Topological spaces.- Chapter 3. Normed spaces.- Part 2. Differential calculus.- Chapter 4. The Derivative.- Chapter 5. Higher-order derivatives.- Chapter 6. Ordinary differential equations.- Chapter 7. Implicit functions and their applications.- Part 3. Approximation methods.- Chapter 8. Interpolation.- Chapter 9. Orthogonal polynomials.- Chapter 10. Numerical integration.- Chapter 11. Finding roots.- Chapter 12. Numerical solution of differential equations.
Notă biografică
Vilmos Komornik has studied in Budapest, Hungary, and has taught in Hungary and France for nearly 40 years. His main research fields are control theory of partial differential equations and combinatorial number theory. He has made a number of contributions to the theory of J.L. Lions on exact controllability and stabilization and has co-authored several papers on expansions in noninteger bases with P. Erdős. He is an external member of the Hungarian Academy of Sciences.
Textul de pe ultima copertă
Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán.
Caracteristici
Illustrates the insufficiency of sequences with simple but rarely presented examples
Elaborates on the historical background of most notions and results treated in this volume
Includes supplementary material: sn.pub/extras