03678nam2 2200541 i 450 VAN0011395620260626030206.993N9783662487921159143550520180123d2015 |0itac50 baengDE|||| |||||i e bcr1Vladimir A. Zorich2. edBerlin [etc.]Springer2015XX, 616 p.ill.24 cmThis 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.001VAN000245062001 Universitext210 Berlin [etc]Springer1930-001VAN003071212001 Mathematical analysisVladimir A. Zorich205 2. ed210 Berlin [etc.]Springer2015-2016215 2 volumi24 cm1VAN00235106Matematicheskij Analiz. Chast’ I.244049126-XXReal functions [MSC 2020]VANC019778MF26AxxFunctions of one variable [MSC 2020]VANC020406MF26BxxFunctions of several variables [MSC 2020]VANC024390MF42-XXHarmonic analysis on Euclidean spaces [MSC 2020]VANC019851MFCalculusKW:KDifferential EquationsKW:KFunctionsKW:KIntegral calculusKW:KLimitsKW:KReal numbersKW:KBerlinVANL000066ZorichVladimir A.VANV051823150862Springer <editore>VANV108073650Zorich, Vladimir AntonovichZorich, Vladimir A.VANV268707Zorich, V. A.Zorich, Vladimir A.VANV268708Zorich, V.A.Zorich, Vladimir A.VANV268709ITSOL20260911RICAhttp://dx.doi.org/10.1007/978-3-662-48792-1E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00113956BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 0291 08eMF291 20180123 Matematicheskij Analiz. Chast’ I2440491UNICAMPANIA