1 / Vladimir A. Zorich

• Autore: Zorich, Vladimir A.
• Pubblicazione: Berlin [etc.], : Springer, 2015
• Titolo uniforme: Matematicheskij Analiz. Chast’ I.
• Edizione: 2. ed
• Descrizione fisica: XX, 616 p. : ill. ; 24 cm
• Soggetto topico: 26-XX - Real functions [MSC 2020]; 26Axx - Functions of one variable [MSC 2020]; 26Bxx - Functions of several variables [MSC 2020]; 42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
• Soggetto non controllato: Calculus; Differential equations; Functions; Integral calculus; Limits; Real numbers
• Nota di contenuto: This second edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis. The main difference between the second and first editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant to be useful to both students (in mathematics and physics) and teachers, who may be motivated by different goals. Some of the appendices are surveys, both prospective and retrospective. The final survey establishes important conceptual connections between analysis and other parts of mathematics. The first volume constitutes a complete course in one-variable calculus along with the multivariable differential calculus elucidated in an up-to-date, clear manner, with a pleasant geometric and natural sciences flavor.
• Titolo autorizzato: Matematicheskij Analiz. Chast’ I
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00113956
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: http://dx.doi.org/10.1007/978-3-662-48792-1
• Serie: Universitext Berlin [etc] . -Springer , 1930-