College Level Mathematics Personal Study Notes [NOOK Book]

Overview

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 ...
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College Level Mathematics Personal Study Notes

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Overview

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.

A 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.

The 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.

Matrices
Binomial Theory
Partial Fractions
Theory of Residues
Differential Equations
Particular and Complementary Solutions of Second Order Differential Equations
Properties of the f(D)- Operator
Trigonometry
Analytical Geometry: Straight Line, Circle, Parabola, Ellipse, Hyperbola
Polar Coordinates
Hyperbolic functions
Curvature
Leibniz theory and Nuclear Differentiation
Integration
Maclaurin Series and Taylor limits
Newton’s Method of Numerical Solution of Equations
Partial Differentiation
Applications on Integration and Polar Equations
Multiple Integrals: Green’s Theorem
Spherical Trigonometry: Napier's rules
Numerical Solution of Equations
Graphical Method of Solution of Equation
Newton-Raphson’s iterative method of solution
The Method of False Position (Regula Falsi) Or Inverse Interpolation
Bolzano Method
Roots of Polynomial Equations
Synthetic division
Evaluation of derivatives by synthetic division
Synthetic division by quadratic polynomial
Method of finding the imaginary roots of polynomials
Graeffe’s Root Squaring Method
Simultaneous equations of first degree
Gauss method of elimination
The Gauss-Seidel iteration method
Relaxation methods
Finite difference solution of differential equations
Linear Programming
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Those topics are grouped into the following chapters:

Algebra
Chapter 1: Matrices
Chapter 2: Binomial Theory
Chapter 3: Partial Fractions
Chapter 4: Theory of residues

Trigonometry
Chapter 5: Trigonometric equations and applications

Analytical Geometry
Chapter 6: Equations of common geometrical curves

Differential and Integral Analysis
Chapter 7: calculus of transformation of systems of coordinates

Numerical Analysis
Chapter 8: Numerical Solution of Equations
Chapter 9: Roots of Polynomial Equations
Chapter 10: Simultaneous equations of first degree
Chapter 11: Finite difference solution of differential equations
Chapter 12: Linear Programming

Ordinary and partial differential Equations
Chapter 13: Methods of solution of Differential Equations
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Product Details

  • BN ID: 2940012298539
  • Publisher: Shaymaa Publishing Corporation
  • Publication date: 4/2/2011
  • Sold by: Barnes & Noble
  • Format: eBook
  • Sales rank: 1,320,514
  • File size: 14 MB
  • Note: This product may take a few minutes to download.

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