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000826289 019__ $$a1023780658$$a1024173578
000826289 020__ $$a9783319746845$$q(electronic book)
000826289 020__ $$a3319746847$$q(electronic book)
000826289 020__ $$z9783319746838
000826289 020__ $$z3319746839
000826289 0247_ $$a10.1007/978-3-319-74684-5$$2doi
000826289 035__ $$aSP(OCoLC)on1023427257
000826289 035__ $$aSP(OCoLC)1023427257$$z(OCoLC)1023780658$$z(OCoLC)1024173578
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000826289 049__ $$aISEA
000826289 050_4 $$aQA331.7
000826289 08204 $$a515.9$$223
000826289 1001_ $$aMarin, Marin,$$eauthor.
000826289 24510 $$aComplements of higher mathematics /$$cMarin Marin, Andreas Öchsner.
000826289 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018.
000826289 300__ $$a1 online resource.
000826289 336__ $$atext$$btxt$$2rdacontent
000826289 337__ $$acomputer$$bc$$2rdamedia
000826289 338__ $$aonline resource$$bcr$$2rdacarrier
000826289 347__ $$atext file$$bPDF$$2rda
000826289 504__ $$aIncludes bibliographical references.
000826289 5050_ $$aIntro; Preface; Contents; 1 Complex Functions; 1.1 Complex Functions of Real Variable; 1.2 Complex Functions of Complex Variable; 1.3 Elementary Complex Functions; 1.4 Complex Integrals; 1.5 Complex Series; 2 Special Functions; 2.1 Euler's Functions; 2.2 Bessel's Functions; 2.3 Orthogonal Polynomials; 2.4 Legendre's Polynomials; 2.5 Chebyshev's Polynomials; 2.6 Hermite's Polynomials; 2.7 Laguerre's Polynomials; 3 Operational Calculus; 3.1 Laplace's Transform; 3.2 Operational Methods; 3.3 Applications; 3.4 Differential Equations with Constant Coefficients
000826289 5058_ $$a3.5 Differential Equations with Variable Coefficients3.6 Integral Equations; 3.7 Partial Differential Equations; 3.8 Some Improper Integrals; 4 Fourier's Transform; 4.1 Fourier Series; 4.2 Fourier's Single Integral Formula; 4.3 Fourier's Transform in L1; 4.4 Fourier's Transform in L2; 5 Calculus of Variations; 5.1 Introduction; 5.2 Euler's Equation; 5.3 Generalizations of Euler's Equation; 5.4 Sufficent Conditions for Extremum; 5.5 Isoperimetric Problems; 5.6 Moving Boundary Problems; 6 Quasi-linear Equations; 6.1 Canonical Form for n=2; 6.2 Canonical Form for n>2; 7 Hyperbolical Equations
000826289 5058_ $$a7.1 Problem of the Infinite Vibrating Chord7.2 Initial-Boundary Values Problems; 7.3 Cauchy's Problem; 7.4 Problem of the Finite Vibrating Chord; 8 Parabolical Equations; 8.1 The Finite Problem of Heat; 8.2 Initial-Boundary Value Problems; 8.3 Method of the Green's Function; 8.4 Cauchy's Problem; 9 Elliptic Partial Differential Equations; 9.1 Introductory Formulas; 9.2 Potentials; 9.3 Boundary Values Problems; 10 Optimal Control; 10.1 Preparatory Notions; 10.2 Problems of Optimal Control; 10.3 Linear Problems of Control; 10.4 Problems of Quadratic Control
000826289 506__ $$aAccess limited to authorized users.
000826289 520__ $$aThis book highlights the remarkable importance of special functions, operational calculus, and variational methods. A considerable portion of the book is dedicated to second-order partial differential equations, as they offer mathematical models of various phenomena in physics and engineering. The book provides students and researchers with essential help on key mathematical topics, which are applied to a range of practical problems. These topics were chosen because, after teaching university courses for many years, the authors have found them to be essential, especially in the contexts of technology, engineering and economics. Given the diversity topics included in the book, the presentation of each is limited to the basic notions and results of the respective mathematical domain. Chapter 1 is devoted to complex functions. Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions of a complex variable plays in mathematical physics, especially in the modeling of plane problems. In addition, the book demonstrates the importance of the theories of special functions, operational calculus, and variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.
000826289 588__ $$aOnline resource; title from PDF title page (viewed February 19, 2018).
000826289 650_0 $$aFunctions of several real variables.
000826289 650_0 $$aFunctions, Special.
000826289 650_0 $$aCalculus, Operational.
000826289 7001_ $$aÖchsner, Andreas,$$eauthor.
000826289 77608 $$iPrint version: $$z3319746839$$z9783319746838$$w(OCoLC)1016947181
000826289 852__ $$bebk
000826289 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-74684-5$$zOnline Access$$91397441.1
000826289 909CO $$ooai:library.usi.edu:826289$$pGLOBAL_SET
000826289 980__ $$aEBOOK
000826289 980__ $$aBIB
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