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Advanced Engineering Mathematics
Advanced Engineering Mathematics

Tags: Advanced Engineering Mathematics, Vector Algebra, Laplace Transforms, Vector Differential Calculus

Advanced Engineering Mathematics

The text broadly divided in seven sections contains 26 chapters. The text covers topics on solid geometry, infinite series, differential and integral calculus, matrices, vector calculus, ordinary differential equations, special functions and Laplace transforms, complex analysis, Fourier analysis, partial differential equations, statistics, numerical methods and linear programming. The self-contained text has numerous distinguishing features over the already existing books on the same topic. The chapters have been planned to create interest among the readers to study and apply the mathematical tools. The subject has been presented in a very lucid and precise manner with a wide variety of solved examples and exercises, which would eventually help the reader for hassle-free study. The book can be used as a text for Engineering Mathematics course at various levels.
  1. Solid Geometry
  2.  Matrices, Determinants and Eigenvalue Problems
  3.  Infinite Series
  4.  Differentiation and Its Applications
  5.  Partial Differentiation and Its Applications
  6.  Definite Integrals and Their Applications
  7.  Multiple Integrals and Their Applications
  8.  Vector Differential Calculus 
  9.  Vector Integral Calculus
  10.  First Order Ordinary Differential Equations
  11.  Second and Higher Order Linear Differential Equations
  12.  Series Solutions of Differential Equations and Special Functions
  13.  Laplace Transforms
  14.  Fourier Series
  15.  Fourier Integrals and Fourier Transforms
  16.  Partial Differential Equations
  17.  Applications of Partial Differential Equations
  18.  Functions of a Complex Variable. Analytic Functions
  19.  Complex Integration
  20.  Numerical Methods in General
  21.  Numerical Methods for Differential Equations
  22.  Linear Difference Equations and Z-Transforms
  23.  Descriptive Statistics, Probability and Distributions
  24.  Sampling Distributions and Hypothesis Testing
  25.  Linear Programming.
  1.  Contents divided into eight major parts, namely, Vector Algebra and Matrices, Differential and Integral Calculus, Vector Calculus, Ordinary Differential Equations and Laplace Transforms, Fourier Analysis and Partial Differential Equations, Complex Analysis, Numerical Methods, and Statistical Methods and Linear Programming.
  2.  Presents 1114 solved problems in step-wise manner to understand applications of the mathematical tools.
  3.  Contains end-of-topic exercises (2160 exercise questions in total) for an extensive practice of each topic. Answers are provided for numerical problems.
  4.  Gives detailed proofs of all important theorems and derivations of results/relationships.
  5.  Has five useful appendices at the end of the book.
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