001484781 000__ 04225cam\\2200565\i\4500
001484781 001__ 1484781
001484781 003__ OCoLC
001484781 005__ 20240117003336.0
001484781 006__ m\\\\\o\\d\\\\\\\\
001484781 007__ cr\cn\nnnunnun
001484781 008__ 231219s2023\\\\sz\a\\\\o\\\\\001\0\eng\d
001484781 019__ $$a1413373875$$a1414467133
001484781 020__ $$a9783031338595$$q(electronic bk.)
001484781 020__ $$a3031338596$$q(electronic bk.)
001484781 020__ $$z9783031338588
001484781 020__ $$z3031338588
001484781 0247_ $$a10.1007/978-3-031-33859-5$$2doi
001484781 035__ $$aSP(OCoLC)1415199541
001484781 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCO
001484781 049__ $$aISEA
001484781 050_4 $$aQA377
001484781 08204 $$a515/.353$$223/eng/20231219
001484781 1001_ $$aTaylor, Michael E.,$$d1946-$$eauthor.
001484781 24510 $$aPartial differential equations.$$nVolume I,$$pBasic theory /$$cMichael E. Taylor.
001484781 24630 $$aBasic theory
001484781 250__ $$aThird edition.
001484781 264_1 $$aCham :$$bSpringer,$$c2023.
001484781 300__ $$a1 online resource (712 pages) :$$billustrations (black and white).
001484781 336__ $$atext$$btxt$$2rdacontent
001484781 337__ $$acomputer$$bc$$2rdamedia
001484781 338__ $$aonline resource$$bcr$$2rdacarrier
001484781 4901_ $$aApplied mathematical sciences ;$$vvolume 115
001484781 500__ $$aIncludes index.
001484781 5050_ $$aContents of Volumes II and III -- Preface -- 1 Basic Theory of ODE and Vector Fields -- 2 The Laplace Equation and Wave Equation -- 3 Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE -- 4 Sobolev Spaces -- 5 Linear Elliptic Equation -- 6 Linear Evolution Equations -- A Outline of Functional Analysis -- B Manifolds, Vector Bundles, and Lie Groups -- Index.
001484781 506__ $$aAccess limited to authorized users.
001484781 520__ $$aThe first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. In includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted. (Peter Lax, SIAM review, June 1998).
001484781 588__ $$aDescription based on print version record.
001484781 650_0 $$aDifferential equations, Partial.
001484781 650_6 $$aÉquations aux dérivées partielles.
001484781 655_0 $$aElectronic books.
001484781 77608 $$iPrint version:$$aTaylor, Michael E., 1946-$$tPartial differential equations. Volume I, Basic theory.$$bThird edition.$$dCham : Springer, 2023$$z9783031338588$$w(OCoLC)1388642624
001484781 830_0 $$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$$vv. 115.
001484781 852__ $$bebk
001484781 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-33859-5$$zOnline Access$$91397441.1
001484781 909CO $$ooai:library.usi.edu:1484781$$pGLOBAL_SET
001484781 980__ $$aBIB
001484781 980__ $$aEBOOK
001484781 982__ $$aEbook
001484781 983__ $$aOnline
001484781 994__ $$a92$$bISE