001450767 000__ 05895cam\a2200553\a\4500
001450767 001__ 1450767
001450767 003__ OCoLC
001450767 005__ 20230310004542.0
001450767 006__ m\\\\\o\\d\\\\\\\\
001450767 007__ cr\un\nnnunnun
001450767 008__ 221029s2022\\\\sz\\\\\\ob\\\\001\0\eng\d
001450767 019__ $$a1349274773
001450767 020__ $$a9783031056789$$q(electronic bk.)
001450767 020__ $$a3031056787$$q(electronic bk.)
001450767 020__ $$z3031056779
001450767 020__ $$z9783031056772
001450767 0247_ $$a10.1007/978-3-031-05678-9$$2doi
001450767 035__ $$aSP(OCoLC)1349277067
001450767 040__ $$aEBLCP$$beng$$cEBLCP$$dGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ
001450767 049__ $$aISEA
001450767 050_4 $$aQC20
001450767 08204 $$a530.15$$223/eng/20221103
001450767 1001_ $$aTang, K. T.,$$d1936-
001450767 24510 $$aMathematical methods for engineers and scientists.$$n1,$$pComplex analysis and linear algebra /$$cKwong-Tin Tang.
001450767 24630 $$aComplex analysis and linear algebra
001450767 250__ $$a2nd ed.
001450767 260__ $$aCham :$$bSpringer,$$c2022.
001450767 300__ $$a1 online resource (498 p.)
001450767 500__ $$a4.1 Examples of Problems Solved by Conformal Mappings
001450767 504__ $$aIncludes bibliographical references and index.
001450767 5050_ $$aIntro -- Preface to Second Edition -- Preface to the First Edition -- Contents -- Part I Complex Analysis -- 1 Complex Numbers -- 1.1 Our Number System -- 1.1.1 Addition and Multiplication of Integers -- 1.1.2 Inverse Operations -- 1.1.3 Negative Numbers -- 1.1.4 Fractional Numbers -- 1.1.5 Irrational Numbers -- 1.1.6 Imaginary Numbers -- 1.2 Logarithm -- 1.2.1 Napier's Idea of Logarithm -- 1.2.2 Briggs' Common Logarithm -- 1.3 A Peculiar Number Called e -- 1.3.1 The Unique Property of e -- 1.3.2 The Natural Logarithm -- 1.3.3 Approximate Value of e
001450767 5058_ $$a1.4 The Exponential Function as an Infinite Series -- 1.4.1 Compound Interest -- 1.4.2 The Limiting Process Representing e -- 1.4.3 The Exponential Function ex -- 1.5 Unification of Algebra and Geometry -- 1.5.1 The Remarkable Euler Formula -- 1.5.2 The Complex Plane -- 1.6 Polar Form of Complex Numbers -- 1.6.1 Powers and Roots of Complex Numbers -- 1.6.2 Trigonometry and Complex Numbers -- 1.6.3 Geometry and Complex Numbers -- 1.7 Elementary Functions of Complex Variable -- 1.7.1 Exponential and Trigonometric Functions of z -- 1.7.2 Hyperbolic Functions of z
001450767 5058_ $$a1.7.3 Logarithm and General Power of z -- 1.7.4 Inverse Trigonomeric and Hyperbolic Functions -- 2 Complex Functions -- 2.1 Analytic Functions -- 2.1.1 Complex Function as Mapping Operation -- 2.1.2 Differentiation of a Complex Function -- 2.1.3 Cauchy-Riemann Conditions -- 2.1.4 Cauchy-Riemann Equations in Polar Coordinates -- 2.1.5 Analytic Function as a Function of z Alone -- 2.1.6 Analytic Function and Laplace's Equation -- 2.2 Complex Integration -- 2.2.1 Line Integral of a Complex Function -- 2.2.2 Parametric Form of Complex Line Integral -- 2.3 Cauchy's Integral Theorem
001450767 5058_ $$a2.3.1 Green's Lemma -- 2.3.2 Cauchy-Goursat Theorem -- 2.3.3 Fundamental Theorem of Calculus -- 2.4 Consequences of Cauchy's Theorem -- 2.4.1 Principle of Deformation of Contours -- 2.4.2 The Cauchy Integral Formula -- 2.4.3 Derivatives of Analytic Function -- 3 Complex Series and Theory of Residues -- 3.1 A Basic Geometric Series -- 3.2 Taylor Series -- 3.2.1 The Complex Taylor Series -- 3.2.2 Convergence of Taylor Series -- 3.2.3 Analytic Continuation -- 3.2.4 Uniqueness of Taylor Series -- 3.3 Laurent Series -- 3.3.1 Uniqueness of Laurent Series -- 3.4 Theory of Residues
001450767 5058_ $$a3.4.1 Zeros and Poles -- 3.4.2 Definition of the Residue -- 3.4.3 Methods of Finding Residues -- 3.4.4 Cauchy's Residue Theorem -- 3.4.5 Second Residue Theorem -- 3.5 Evaluation of Real Integrals with Residues -- 3.5.1 Integrals of Trigonometric Functions -- 3.5.2 Improper Integrals I: Closing the Contour with a Semicircle at Infinity -- 3.5.3 Fourier Integral and Jordan's Lemma -- 3.5.4 Improper Integrals II: Closing the Contour with Rectangular and Pie-Shaped Contour -- 3.5.5 Integration Along a Branch Cut -- 3.5.6 Principal Value and Indented Path Integrals -- 4 Conformal Mapping
001450767 506__ $$aAccess limited to authorized users.
001450767 520__ $$aPart 1 of this popular graduate-level textbook focuses on mathematical methods involving complex analysis, determinants, and matrices, including updated and additional material covering conformal mapping. The second edition comes with extensive updates and additions, making them a more complete reference for graduate science and engineering students while imparting comfort and confidence in using advanced mathematical tools in both upper-level undergraduate and beginning graduate courses. This set of student-centered textbooks presents topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transformations, and ordinary and partial differential equations in a discursive style that is clear, engaging, and easy to follow. Replete with pedagogical insights from an author with more than 30 years of experience in teaching applied mathematics, this indispensable set of books features numerous clearly stated and completely worked out examples together with carefully selected problems and answers that enhance students' understanding and analytical skills.
001450767 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 3, 2022).
001450767 650_0 $$aMathematical physics.
001450767 650_0 $$aEngineering mathematics.
001450767 650_0 $$aMathematical models.
001450767 655_0 $$aElectronic books.
001450767 77608 $$iPrint version:$$aTang, Kwong-Tin$$tMathematical Methods for Engineers and Scientists 1$$dCham : Springer International Publishing AG,c2022$$z9783031056772
001450767 852__ $$bebk
001450767 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-05678-9$$zOnline Access$$91397441.1
001450767 909CO $$ooai:library.usi.edu:1450767$$pGLOBAL_SET
001450767 980__ $$aBIB
001450767 980__ $$aEBOOK
001450767 982__ $$aEbook
001450767 983__ $$aOnline
001450767 994__ $$a92$$bISE