02531oas 2200829 a 450 991097768590332120251105213014.01762-584X(DE-599)ZDB2170954-3(DE-599)2170954-3(OCoLC)55849164(CONSER) 2005249157(CKB)111087580659044(EXLCZ)9911108758065904420040706b20042005 sy freurcnu||||||||txtrdacontentcrdamediacrrdacarrierEMCOphtalmologie[Paris] [Éditions scientifique et médicales Elsevier SAS]2004-20051 online resourceTitle from journal homepage (ScienceDirect, viewed July 6, 2004)."An 'Encyclopédie Médico-Chirurgicale' publication"--Publisher information page (Elsevier, viewed July 6, 2004)."The journal (online only) publishes mainly review articles in French covering all fields of ophthalmology ranging from anatomy, pathologies, exploration methods to surgical treatments"--Publisher information page (Elsevier, viewed July 6, 2004).Encyclopédie Médico-Chirurgicale.OphtalmologieOphthalmologyPeriodicalsEyeDiseasesPeriodicalsOphthalmologyEyeDiseasesfast(OCoLC)fst00919133Ophthalmologyfast(OCoLC)fst01046503Maladie de l'oeilrasuqamOphtalmologierasuqamPeriodicals.fastPériodique électronique (Descripteur de forme)rasuqamRessource Internet (Descripteur de forme)rasuqamOphthalmologyEyeDiseasesOphthalmology.EyeDiseases.Ophthalmology.Maladie de l'oeil.Ophtalmologie.TWTTWTHUAOCLCQZYUUQ1GUAOCLCQHEBISDEBBGOCLCQGBVCPOCLCQOCLCFOCLCQAU@RDFOCLCOOCLCACUSOCLCQAUDOCLCQJOURNAL9910977685903321EMC1890538UNINA04942nam 22006495 450 991096200430332120250731082056.01-4471-0597-410.1007/978-1-4471-0597-8(CKB)3400000000088221(SSID)ssj0000809000(PQKBManifestationID)11446728(PQKBTitleCode)TC0000809000(PQKBWorkID)10800131(PQKB)10545448(DE-He213)978-1-4471-0597-8(MiAaPQ)EBC3073487(PPN)237989867(EXLCZ)99340000000008822120121227d1998 u| 0engurnn#008mamaatxtccrVector Calculus /by Paul C. Matthews1st ed. 1998.London :Springer London :Imprint: Springer,1998.1 online resource (X, 182 p. 1 illus.)Springer Undergraduate Mathematics Series,2197-4144Includes index."With 63 figures."3-540-76180-2 1. Vector Algebra -- 1.1 Vectors and scalars -- 1.2 Dot product -- 1.3 Cross product -- 1.4 Scalar triple product -- 1.5 Vector triple product -- 1.6 Scalar fields and vector fields -- 2. Line, Surface and Volume Integrals -- 2.1 Applications and methods of integration -- 2.2 Line integrals -- 2.3 Surface integrals -- 2.4 Volume integrals -- 3. Gradient, Divergence and Curl -- 3.1 Partial differentiation and Taylor series -- 3.2 Gradient of a scalar field -- 3.3 Divergence of a vector field -- 3.4 Curl of a vector field -- 4. Suffix Notation and its Applications -- 4.1 Introduction to suffix notation -- 4.2 The Kronecker delta ?ij -- 4.3 The alternating tensor ?ijk -- 4.4 Relation between ?ijk and ?ij -- 4.5 Grad, div and curl in suffix notation -- 4.6 Combinations of grad, div and curl -- 4.7 Grad, div and curl applied to products of functions -- 5. Integral Theorems -- 5.1 Divergence theorem -- 5.2 Stokes’s theorem -- 6. Curvilinear Coordinates -- 6.1 Orthogonal curvilinear coordinates -- 6.2 Grad, div and curl in orthogonal curvilinear coordinate systems -- 6.3 Cylindrical polar coordinates -- 6.4 Spherical polar coordinates -- 7. Cartesian Tensors -- 7.1 Coordinate transformations -- 7.2 Vectors and scalars -- 7.3 Tensors -- 7.4 Physical examples of tensors -- 8. Applications of Vector Calculus -- 8.1 Heat transfer -- 8.2 Electromagnetism -- 8.3 Continuum mechanics and the stress tensor -- 8.4 Solid mechanics -- 8.5 Fluid mechanics -- Solutions.Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.Springer Undergraduate Mathematics Series,2197-4144MathematicsMathematical physicsEngineeringApplications of MathematicsTheoretical, Mathematical and Computational PhysicsTechnology and EngineeringMathematics.Mathematical physics.Engineering.Applications of Mathematics.Theoretical, Mathematical and Computational Physics.Technology and Engineering.515/.63Matthews Paul C.authttp://id.loc.gov/vocabulary/relators/aut1346MiAaPQMiAaPQMiAaPQBOOK9910962004303321Vector calculus1427223UNINA