{"product_id":"2940012298539","title":"College Level Mathematics Personal Study Notes","description":"This book comprises three hundred and thirty solved examples in college mathematics, a prerequisite for completion of bachelor degree in electrical engineering, nuclear engineering, physics, or mathematics.  Each chosen example represents a unique concept in applied mathematics that is essential in preparing the undergraduate student to advance to higher level mathematics and physics. In most chapters, unsolved exercises are added for practicing. Thus, the book represents the essential needs of study of mathematics during the five intense study years of undergraduate college education. \u003cbr\u003e\u003cbr\u003eA special feature of this ebook is the effort taken to put the solved examples in the simplest form and to limit the number of examples to the absolute minimum that does not cram the memory of the already strained student. Even though redundant examples are believed by some to enhance memorization of mathematical concepts, I opted to follow my instincts supported by my own experience that simplicity and conciseness could lead to long last and clear vision than redundancy.   \u003cbr\u003e\u003cbr\u003eThe following syllabus was adapted from my undergraduate study at the Faculty of Engineering between years 1969 and 1974 and the Faculty of Science of the University of Alexandria, Egypt, between the years 1976 and 1978. \u003cbr\u003e\u003cbr\u003eMatrices\u003cbr\u003eBinomial Theory\u003cbr\u003ePartial Fractions\u003cbr\u003eTheory of Residues\u003cbr\u003eDifferential Equations\u003cbr\u003eParticular and Complementary Solutions of Second Order Differential Equations\u003cbr\u003eProperties of the f(D)- Operator\u003cbr\u003eTrigonometry\u003cbr\u003eAnalytical Geometry: Straight Line, Circle, Parabola, Ellipse, Hyperbola\u003cbr\u003ePolar Coordinates\u003cbr\u003eHyperbolic functions\u003cbr\u003eCurvature\u003cbr\u003eLeibniz theory and Nuclear Differentiation\u003cbr\u003eIntegration\u003cbr\u003eMaclaurin Series and Taylor limits\u003cbr\u003eNewton’s Method of Numerical Solution of Equations\u003cbr\u003ePartial Differentiation\u003cbr\u003eApplications on Integration and Polar Equations\u003cbr\u003eMultiple Integrals: Green’s Theorem\u003cbr\u003eSpherical Trigonometry: Napier's rules\u003cbr\u003eNumerical Solution of Equations\u003cbr\u003eGraphical Method of Solution of Equation\u003cbr\u003eNewton-Raphson’s iterative method of solution\u003cbr\u003eThe Method of False Position (Regula Falsi) Or Inverse Interpolation\u003cbr\u003eBolzano Method\u003cbr\u003eRoots of Polynomial Equations\u003cbr\u003eSynthetic division\u003cbr\u003eEvaluation of derivatives by synthetic division\u003cbr\u003eSynthetic division by quadratic polynomial\u003cbr\u003eMethod of finding the imaginary roots of polynomials\u003cbr\u003eGraeffe’s Root Squaring Method\u003cbr\u003eSimultaneous equations of first degree\u003cbr\u003eGauss method of elimination\u003cbr\u003eThe Gauss-Seidel iteration method\u003cbr\u003eRelaxation methods\u003cbr\u003eFinite difference solution of differential equations\u003cbr\u003eLinear Programming\u003cbr\u003e----------\u003cbr\u003eThose topics are grouped into the following chapters:\u003cbr\u003e\u003cbr\u003eAlgebra\u003cbr\u003eChapter 1: Matrices\u003cbr\u003eChapter 2: Binomial Theory\u003cbr\u003eChapter 3: Partial Fractions\u003cbr\u003eChapter 4: Theory of residues\u003cbr\u003e\u003cbr\u003eTrigonometry\u003cbr\u003eChapter 5: Trigonometric equations and applications\u003cbr\u003e\u003cbr\u003eAnalytical Geometry\u003cbr\u003eChapter 6: Equations of common geometrical curves\u003cbr\u003e\u003cbr\u003eDifferential and Integral Analysis\u003cbr\u003eChapter 7: calculus of transformation of systems of coordinates\u003cbr\u003e\u003cbr\u003eNumerical Analysis\u003cbr\u003eChapter 8: Numerical Solution of Equations\u003cbr\u003eChapter 9: Roots of Polynomial Equations\u003cbr\u003eChapter 10: Simultaneous equations of first degree\u003cbr\u003eChapter 11: Finite difference solution of differential equations\u003cbr\u003eChapter 12: Linear Programming\u003cbr\u003e\u003cbr\u003eOrdinary and partial differential Equations\u003cbr\u003eChapter 13: Methods of solution of Differential Equations","brand":"Shaymaa Publishing Corporation","offers":[{"title":"Default Title","offer_id":47081176695024,"sku":"2940012298539","price":9.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/2940012298539_p0.jpg?v=1763554794","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/2940012298539","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}