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020 _a9783319127576
_9978-3-319-12757-6
024 7 _a10.1007/978-3-319-12757-6
_2doi
035 _ato000558323
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aCanuto, Claudio.
_eauthor.
_9320558
245 1 0 _aMathematical Analysis II
_helectronic resource
_cby Claudio Canuto, Anita Tabacco.
250 _aSecond Edition.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXIII, 559 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aUNITEXT,
_x2038-5714 ;
_v85
505 0 _a1 Numerical series -- 2 Series of functions and power series -- 3 Fourier series -- 4 Functions between Euclidean spaces -- 5 Differential calculus for scalar functions -- 6 Differential calculus for vector-valued functions -- 7 Applying differential calculus -- 8 Integral calculus in several variables -- 9 Integral calculus on curves and surfaces -- 10 Ordinary differential equations -- 11 A.1 Complements on differential calculus -- 12 A.2 Complements on integral calculus -- 13 Basic definitions and formulas.
520 _aThe purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, familiarise with the corresponding key techniques and find the proofs of the main results. The second level enables the strongly motivated reader to explore further into the subject, by studying also the material contained in the appendices. Definitions are enriched by many examples, which illustrate the properties discussed. A host of solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a second course of Mathematical Analysis.
650 0 _amathematics.
_9566183
650 0 _aIntegral equations.
_9566371
650 0 _aPartial Differential Equations.
_9303602
650 1 4 _aMathematics.
_9566184
650 2 4 _aPartial Differential Equations.
_9303602
650 2 4 _aIntegral Equations.
_9566372
700 1 _aTabacco, Anita.
_eauthor.
_9332510
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aUNITEXT,
_9273029
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-12757-6
912 _aZDB-2-SMA
999 _c413510