LEADER 03500nam 22006015 450 001 9910392739903321 005 20200630100436.0 010 $a3-030-41168-0 024 7 $a10.1007/978-3-030-41168-8 035 $a(CKB)4100000011223447 035 $a(MiAaPQ)EBC6178541 035 $a(DE-He213)978-3-030-41168-8 035 $a(PPN)24376362X 035 $a(EXLCZ)994100000011223447 100 $a20200418d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aApplications of Vector Analysis and Complex Variables in Engineering $b[electronic resource] /$fby Otto D. L. Strack 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (228 pages) 311 $a3-030-41167-2 320 $aIncludes bibliographical references and index. 327 $a1. Vectors in Three-Dimensional Space -- 2. Vector Fields -- 3. Fundamental Equations for Fluid Mechanics -- 4. Integral Theorems -- 5. Coordinate Transformations; De?nitions of Vectors and Tensors -- 6. Partial Differential Equations of the First Order -- 7. Partial Differential Equations of the Second Order -- 8. The Elliptic Case: Two Complex Characteristics -- 9. Applications of Complex Variables -- 10. The Parabolic Case: Two Coinciding Characteristics -- 11. The Hyperbolic Case: Two Real Characteristics -- 12. Hyperbolic Quasi Linear Partial Differential Equations -- 13. The Navier-Stokes Equations -- Appendix A. Numerical Integration of the Cauchy Integral -- Appendix B. List of Problems with Page Numbers. 330 $aThis textbook presents the application of mathematical methods and theorems to solve engineering problems, rather than focusing on mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for engineering students, who generally think quite differently than students of mathematics. The objective is to emphasize mathematical methods and applications, rather than emphasizing general theorems and principles, for which the reader is referred to the literature. 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aComputer mathematics 606 $aMechanics 606 $aMechanics, Applied 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aComputer mathematics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 14$aMathematical and Computational Engineering. 615 24$aComputational Science and Engineering. 615 24$aTheoretical and Applied Mechanics. 676 $a515.63 700 $aStrack$b Otto D. L$4aut$4http://id.loc.gov/vocabulary/relators/aut$0315448 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910392739903321 996 $aApplications of Vector Analysis and Complex Variables in Engineering$92521726 997 $aUNINA