03376nmm a2200385 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002300139245014100162250001700303260004700320300004300367505017800410653006100588653001900649653002800668653003500696653002600731653001300757653005000770653002700820653003600847653002700883653002700910700003100937710003400968041001901002989003601021856007201057082000801129520185301137EB000357312EBX0100000000000000021036400000000000000.0cr|||||||||||||||||||||130626 ||| eng a97808176461271 aGiaquinta, Mariano00aMathematical AnalysishElektronische RessourcebAn Introduction to Functions of Several Variablescby Mariano Giaquinta, Giuseppe Modica a1st ed. 2009 aBoston, MAbBirkhäuser Bostonc2009, 2009 aXII, 348 p. 105 illusbonline resource0 aDifferential Calculus -- Integral Calculus -- Curves and Differential Forms -- Holomorphic Functions -- Surfaces and Level Sets -- Systems of Ordinary Differential Equations aCalculus of Variations and Optimal Control; Optimization aMeasure theory aMeasure and Integration aFunctions of complex variables aMathematical analysis aAnalysis aSeveral Complex Variables and Analytic Spaces aAnalysis (Mathematics) aOrdinary Differential Equations aCalculus of variations aDifferential equations1 aModica, Giuseppee[author]2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005- uhttps://doi.org/10.1007/978-0-8176-4612-7?nosfx=yxVerlag3Volltext0 a515 aThis text introduces basic ideas, structures, and results of differential and integral calculus for functions of several variables. The presentation is engaging and motivates the reader with numerous examples, remarks, illustrations, and exercises. Mathematical Analysis: An Introduction to Functions of Several Variables may be used in the classroom setting for advanced undergraduate and graduate students or as a self-study. It is also a valuable reference for researchers in most mathematical disciplines. An appendix highlights mathematicians and scientists who have made important contributions in the development of theories in the subject. Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, Mathematical Analysis: Approximation and Discrete Processes, and Mathematical Analysis: Linear and Metric Structures and Continuity, all of which provide the reader with a strong foundation in modern-day analysis. Reviews of previous volumes in Mathematical Analysis: The presentation of the theory is clearly arranged, all theorems have rigorous proofs, and every chapter closes with a summing up of the results and exercises with different requirements. . . . This book is excellently suitable for students in mathematics, physics, engineering, computer science and all students of technological and scientific faculties. —Journal of Analysis and its Applications The exposition requires only a sound knowledge of calculus and the functions of one variable. A key feature this lively yet rigorous and systematic treatment is the historical accounts of ideas and methods of the subject. Ideas in mathematics develop in cultural, historical and economical contexts, thus the authors made brief accounts of those aspects and used a large number of beautiful illustrations. —Zentralblatt MATH.