Hilbert's Seventh Problem : Solutions and Extensions / by Robert Tubbs.

Format:

Book

Author/Creator:

Tubbs, Robert., Author.

Series:

IMSc Lecture Notes in Mathematics, 2509-8098

Language:

English

Subjects (All):

Mathematics.

History.

Functional analysis.

Integral equations.

Number theory.

History of Mathematical Sciences.

Functional Analysis.

Integral Equations.

Number Theory.

Local Subjects:

History of Mathematical Sciences.

Functional Analysis.

Integral Equations.

Number Theory.

Physical Description:

1 online resource (IX, 85 p. 1 illus.)

Edition:

1st ed. 2016.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2016.

Summary:

This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert’s Seventh Problem (from the International Congress of Mathematicians in Paris, 1900). This volume is suitable for both mathematics students, wishing to experience how different mathematical ideas can come together to establish results, and for research mathematicians interested in the fascinating progression of mathematical ideas that solved Hilbert’s problem and established a modern theory of transcendental numbers. .

Contents:

Chapter 1. Hilbert's seventh problem: Its statement and origins

Chapter 2. The transcendence of e; and ep

Chapter 3. Three partial solutions

Chapter 4. Gelfond's solution

Chapter 5. Schneider's solution

Chapter 6. Hilbert's seventh problem and transcendental functions

Chapter 7. Variants and generalizations.

Notes:

Includes bibliographical references and index.

ISBN:

981-10-2645-9