This clear and correct summation of basic results from a specialized field focuses on the behavior of infinite matrices in general, rather than on properties of special matrices. Three introductory chapters guide students to the manipulation of infinite matrices, covering definitions and preliminary ideas, reciprocals of infinite matrices, and linear equations involving infinite matrices.
From the fourth chapter onward, the author treats the application of infinite matrices to the summability of divergent sequences and series from various points of view. Topics include consistency, mutual consistency, and absolute equivalence; the core of a sequence; the inefficiency and the efficiency problems for infinite matrices; Hilbert vector space and Hilbert matrices; and projective and distance convergence and limit in sequence spaces. Each chapter concludes with examples — nearly 200 in all.
From the fourth chapter onward, the author treats the application of infinite matrices to the summability of divergent sequences and series from various points of view. Topics include consistency, mutual consistency, and absolute equivalence; the core of a sequence; the inefficiency and the efficiency problems for infinite matrices; Hilbert vector space and Hilbert matrices; and projective and distance convergence and limit in sequence spaces. Each chapter concludes with examples — nearly 200 in all.
Pay easily by card, Klarna, Apple Pay or Google Pay. Not happy? You always have a 14-day money-back guarantee. Read more in our terms. If you have any questions, email us at hello@memmo.org.
Memmo makes studying easier – wherever you are in the world. We bring your course books and smart study tools together in one place: summaries, quizzes, podcasts and flashcards. Plus Ted, your study buddy who answers anything you wonder. Over 75,000 students already study here – built to help you learn faster and stress less.
You might also like
Buy the book0