![Elements of the Theory of Functions and Functional Analysis [Two Volumes in One] PDF](https://books.google.com/books/content/images/frontcover/7fhmLwEACAAJ?fife=w150-h200)
Author: A. N. Kolmogorov
Publisher: Martino Fine Books
ISBN: 9781614273042
Category : Mathematics
Languages : en
Pages : 280
Book Description
2012 Reprint of Volumes One and Two, 1957-1961. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. A. N. Kolmogorov was a Soviet mathematician, preeminent in the 20th century, who advanced various scientific fields, among them probability theory, topology, logic, turbulence, classical mechanics and computational complexity. Later in life Kolmogorov changed his research interests to the area of turbulence, where his publications beginning in 1941 had a significant influence on the field. In classical mechanics, he is best known for the Kolmogorov-Arnold-Moser theorem. In 1957 he solved a particular interpretation of Hilbert's thirteenth problem (a joint work with his student V. I. Arnold). He was a founder of algorithmic complexity theory, often referred to as Kolmogorov complexity theory, which he began to develop around this time. Based on the authors' courses and lectures, this two-part advanced-level text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, and more. Each section contains exercises. Lists of symbols, definitions, and theorems.
![Elements of the Theory of Functions and Functional Analysis [Two Volumes in One] PDF](https://books.google.com/books/content/images/frontcover/7fhmLwEACAAJ?fife=w80-h100)
Author: A. N. Kolmogorov
Publisher: Martino Fine Books
ISBN: 9781614273042
Category : Mathematics
Languages : en
Pages : 280
Book Description
2012 Reprint of Volumes One and Two, 1957-1961. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. A. N. Kolmogorov was a Soviet mathematician, preeminent in the 20th century, who advanced various scientific fields, among them probability theory, topology, logic, turbulence, classical mechanics and computational complexity. Later in life Kolmogorov changed his research interests to the area of turbulence, where his publications beginning in 1941 had a significant influence on the field. In classical mechanics, he is best known for the Kolmogorov-Arnold-Moser theorem. In 1957 he solved a particular interpretation of Hilbert's thirteenth problem (a joint work with his student V. I. Arnold). He was a founder of algorithmic complexity theory, often referred to as Kolmogorov complexity theory, which he began to develop around this time. Based on the authors' courses and lectures, this two-part advanced-level text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, and more. Each section contains exercises. Lists of symbols, definitions, and theorems.
Author: Andre? Nikolaevich Kolmogorov
Publisher: Courier Corporation
ISBN: 9780486406831
Category : Mathematics
Languages : en
Pages : 292
Book Description
Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.
Author: Konrad Knopp
Publisher: Courier Dover Publications
ISBN: 0486165604
Category : Mathematics
Languages : en
Pages : 160
Book Description
Well-known book provides a clear, concise review of complex numbers and their geometric representation; linear functions and circular transformations; sets, sequences, and power series; analytic functions and conformal mapping; and elementary functions. 1952 edition.
Author: Andreĭ Nikolaevich Kolmogorov
Publisher: Courier Corporation
ISBN:
Category : Functional analysis
Languages : en
Pages : 148
Book Description
Author: John Edensor Littlewood
Publisher:
ISBN:
Category : Functions of real variables
Languages : en
Pages : 104
Book Description
Author: Konrad Knopp
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 140
Book Description
Author: Joseph B. Dence
Publisher: Academic Press
ISBN: 9780122091308
Category : Mathematics
Languages : en
Pages : 542
Book Description
Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors have created a two-pronged pedagogical approach that integrates analysis and algebra with classical number theory. Making greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses, this pedagogical approach helps to instill in the minds of the students the idea of the unity of mathematics. Elements of the Theory of Numbers is a superb summary of classical material as well as allowing the reader to take a look at the exciting role of analysis and algebra in number theory. * In-depth coverage of classical number theory * Thorough discussion of the theory of groups and rings * Includes application of Taylor polynomials * Contains more advanced material than other texts * Illustrates the results of a theorem with an example * Excellent presentation of the standard computational exercises * Nearly 1000 problems--many are proof-oriented, several others require the writing of computer programs to complete the computations * Clear and well-motivated presentation * Provides historical references noting distinguished number theory luminaries such as Euclid, de Fermat, Hilbert, Brun, and Lehmer, to name a few * Annotated bibliographies appear at the end of all of the chapters
Author: Konrad Knopp
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 168
Book Description
Author: Andreĭ Nikolaevich Kolmogorov
Publisher:
ISBN:
Category : Probabilities
Languages : de
Pages : 72
Book Description
Author: Heinrich Durège
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 312
Book Description
