001484149 000__ 06270cam\\22005537i\4500 001484149 001__ 1484149 001484149 003__ OCoLC 001484149 005__ 20240117003315.0 001484149 006__ m\\\\\o\\d\\\\\\\\ 001484149 007__ cr\cn\nnnunnun 001484149 008__ 231118s2023\\\\sz\a\\\\ob\\\\001\0\eng\d 001484149 020__ $$a9783031412004$$qelectronic book 001484149 020__ $$a3031412001$$qelectronic book 001484149 020__ $$z9783031411991 001484149 0247_ $$a10.1007/978-3-031-41200-4$$2doi 001484149 035__ $$aSP(OCoLC)1409682114 001484149 040__ $$aEBLCP$$beng$$erda$$cEBLCP$$dGW5XE$$dOCLCO$$dYDX 001484149 049__ $$aISEA 001484149 050_4 $$aTA333$$b.S63 2023 001484149 08204 $$a620.001/51$$223/eng/20231128 001484149 1001_ $$aSobot, Robert. 001484149 24510 $$aEngineering mathematics by example.$$nVol. I,$$pAlgebra and linear algebra /$$cRobert Sobot. 001484149 24630 $$aAlgebra and linear algebra 001484149 250__ $$aSecond edition. 001484149 264_1 $$aCham :$$bSpringer International Publishing AG,$$c2023. 001484149 300__ $$a1 online resource (xvi, 303 pages) :$$billustrations (chiefly color). 001484149 336__ $$atext$$btxt$$2rdacontent 001484149 337__ $$acomputer$$bc$$2rdamedia 001484149 338__ $$aonline resource$$bcr$$2rdacarrier 001484149 504__ $$aIncludes bibliographical references and index. 001484149 5058_ $$aIntro -- Preface -- Preface to the Second Edition -- Preface to the First Edition -- Acknowledgments -- Contents -- Acronyms -- 1 Numbers -- Problems -- 1.1 Basic Number Operations -- 1.2 Fractional Powers and Radicals -- 1.3 Undefined Forms -- 1.4 Absolute Numbers and Expressions -- Answers -- 1.1 Basic Number Operations -- 1.2 Fractional Powers and Radicals -- 1.3 Undefined Forms -- 1.4 Absolute Numbers and Expressions -- 2 Polynomials -- Problems -- 2.1 Polynomial Expansion -- 2.2 Binomial Theorem (Pascal's Triangle) -- 2.3 Long Division -- 2.4 Factorization -- 2.5 Difference of Squares 001484149 5058_ $$a2.6 Quadratic Polynomial-Viète Formulas -- 2.7 Completing the Square -- 2.8 Factor Theorem -- 2.9 Partial Fraction Decomposition -- Answers -- 2.1 Polynomials -- 2.2 Binomial Theorem (Pascal's Triangle) -- 2.3 Long Division -- 2.4 Factorization -- 2.5 Difference of Squares -- 2.6 Quadratic Polynomial-Viète Formulas -- 2.7 Completing the Square -- 2.8 Factor Theorem -- 2.9 Partial Fraction Decomposition -- 3 Linear Equations and Inequalities -- Problems -- 3.1 Linear Equations -- 3.2 System of Linear Equations -- 3.3 Linear Inequalities -- 3.4 System of Linear Inequalities -- Answers 001484149 5058_ $$a3.1 Linear Equations -- 3.2 System of Linear Equations -- 3.3 Linear Inequalities -- 3.4 System of Linear Inequalities -- 4 Logarithmic and Exponential Functions -- Problems -- 4.1 Logarithmic and Exponential Functions -- 4.2 Simple Logarithmic Calculations -- 4.3 Exponential Equations -- 4.4 Logarithmic Equations -- 4.5 Exponential-Logarithmic Equations -- 4.6 Exponential Inequalities -- 4.7 Logarithmic Inequalities -- Answers -- 4.1 Logarithmic and Exponential Functions -- 4.2 Simple Logarithmic Calculations -- 4.3 Exponential Equations -- 4.4 Logarithmic Equations 001484149 5058_ $$a4.5 Exponential-Logarithmic Equations -- 4.6 Exponential Inequalities -- 4.7 Logarithmic Inequalities -- 5 Trigonometry -- Problems -- 5.1 Trigonometric Definitions -- 5.2 Basic Calculations -- 5.3 Basic Identities -- 5.4 Equations -- 5.5 Inequalities -- Answers -- 5.1 Trigonometric Definitions -- 5.2 Basic Calculations -- 5.3 Basic Identities -- 5.4 Equations -- 5.5 Inequalities -- 6 Complex Algebra -- Problems -- 6.1 Basic Complex Number Forms -- 6.2 Polar Forms -- 6.3 Complex Plane -- 6.4 Euler Identity -- 6.5 Rational Powers -- 6.6 Complex Equations -- Answers 001484149 5058_ $$a6.1 Basic Complex Number Forms -- 6.2 Polar Forms -- 6.3 Complex Plane -- 6.4 Euler Identity -- 6.5 Rational Powers -- 6.6 Complex Equations -- 7 Bode Plot -- Problems -- 7.1 Basic Complex Functions -- 7.2 Bode Plot Examples -- Answers -- 7.1 Basic Complex Functions -- 7.2 Bode Plot Examples -- 8 Linear Algebra -- Problems -- 8.1 Vector Definitions -- 8.2 Vector Operations -- 8.3 Linear Transformations -- 8.4 Determinants -- 8.5 Cramer's Rule -- 8.6 Vector Space -- 8.7 Eigenvalues and Eigenvectors -- 8.8 Matrix Inversion -- 8.9 Powers of Diagonalizable Matrices -- Answers -- 8.1 Vector Definitions 001484149 506__ $$aAccess limited to authorized users. 001484149 520__ $$aThis textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems. It serves as a primary source for practicing and developing mathematical skills and techniques that will be essential in future studies and engineering practice. Rigor and mathematical formalism is drastically reduced, while the main focus is on developing practical skills and techniques for solving mathematical problems, given in forms typically found in engineering and science. These practical techniques are split into three separate books: the topics of algebra, complex algebra, and linear algebra (Vol. I), calculus of single and multiple argument functions (Vol. II), and continues and discrete Convolution and Fourier integrals/sums of typical functions used in signal processing, in addition to Laplace transform examples (Vol. III). Offers a large collection of progressively more sophisticated mathematical problems on main mathematical topics required for engineers/scientists; Provides, at the beginning of each topic, a brief review of definitions and formulas that are about to be used and practiced in the following problems; followed by the additional in-line reminders embedded at the key points of most solutions; Includes tutorial-style, complete solutions, to all problems. 001484149 650_6 $$aMathématiques de l'ingénieur$$vProblèmes et exercices. 001484149 650_0 $$aEngineering mathematics$$vProblems, exercises, etc.$$xMathematics$$0(DLC)sh2009118797 001484149 655_0 $$aElectronic books. 001484149 77608 $$iPrint version:$$aSobot, Robert$$tEngineering Mathematics by Example$$dCham : Springer International Publishing AG,c2023$$z9783031411991 001484149 852__ $$bebk 001484149 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-41200-4$$zOnline Access$$91397441.1 001484149 909CO $$ooai:library.usi.edu:1484149$$pGLOBAL_SET 001484149 980__ $$aBIB 001484149 980__ $$aEBOOK 001484149 982__ $$aEbook 001484149 983__ $$aOnline 001484149 994__ $$a92$$bISE