LEADER 00955nam0-22003131i-450- 001 990002554700403321 005 20050124114322.0 010 $a9067640670 035 $a000255470 035 $aFED01000255470 035 $a(Aleph)000255470FED01 035 $a000255470 100 $a20030910d1987----km-y0itay50------ba 101 0 $aeng 200 1 $aProbability theory and mathematical statistics$eproceedings of the fourth Vilnius conference, Vilnius, USSR, 24-29 June 1985$fedited by Yu.V. Prohorov ... [et al.] 210 $aUtrecht$cVNU Science Press$d1987 215 $aix, 574 p.$d24 cm 300 $aVol. 1 610 0 $aStatistica 610 0 $aAtti di convegni 676 $a519 702 1$aProkhorov,$bYu. V. 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990002554700403321 952 $aMXXIII-A-178$b1112$fMAS 959 $aMAS 996 $aProbability theory and mathematical statistics$980199 997 $aUNINA LEADER 05048nam 22006495 450 001 9910300246403321 005 20200703160738.0 010 $a3-662-48792-6 024 7 $a10.1007/978-3-662-48792-1 035 $a(CKB)3710000000602306 035 $a(SSID)ssj0001659435 035 $a(PQKBManifestationID)16439640 035 $a(PQKBTitleCode)TC0001659435 035 $a(PQKBWorkID)14985799 035 $a(PQKB)11236322 035 $a(DE-He213)978-3-662-48792-1 035 $a(MiAaPQ)EBC6311763 035 $a(MiAaPQ)EBC5596055 035 $a(Au-PeEL)EBL5596055 035 $a(OCoLC)1076237895 035 $a(PPN)192222104 035 $a(EXLCZ)993710000000602306 100 $a20160229d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Analysis I /$fby V. A. Zorich 205 $a2nd ed. 2015. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2015. 215 $a1 online resource (XX, 616 p. 66 illus. in color.) 225 1 $aUniversitext,$x0172-5939 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-662-48790-X 327 $a1 Some General Mathematical Concepts and Notation -- 2 The Real Numbers -- 3 Limits -- 4 Continuous Functions -- 5 Differential Calculus -- 6 Integration -- 7 Functions of Several Variables -- 8 Differential Calculus in Several Variables -- Some Problems from the Midterm Examinations -- Examination Topics -- Appendices -- References -- Subject Index -- Name Index. 330 $aVLADIMIR A. ZORICH is professor of mathematics at Moscow State University. His areas of specialization are analysis, conformal geometry, quasiconformal mappings, and mathematical aspects of thermodynamics. He solved the problem of global homeomorphism for space quasiconformal mappings. He holds a patent in the technology of mechanical engineering, and he is also known by his book Mathematical Analysis of Problems in the Natural Sciences . This second English 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 English 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. ?...Complete logical rigor of discussion...is combined with simplicity and completeness as well as with the development of the habit to work with real problems from natural sciences. ? From a review by A.N. Kolmogorov of the first Russian edition of this course ?...We see here not only a mathematical pattern, but also the way it works in the solution of nontrivial questions outside mathematics. ...The course is unusually rich in ideas and shows clearly the power of the ideas and methods of modern mathematics in the study of particular problems....In my opinion, this course is the best of the existing modern courses of analysis.? From a review by V.I.Arnold. 410 0$aUniversitext,$x0172-5939 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aMathematical physics 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aMathematical physics. 615 14$aAnalysis. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a515 700 $aZorich$b V. 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