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# Kreyszig's Applied Mathematics - 1 (English) (Paperback)

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ISBN: 9788126550753 Publisher: Wiley India Pvt Ltd
Year of publishing: 2014 Format: Paperback
No of Pages: 552 Language: English

This version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig globally the most popular textbook on the subject is restructured to present the content in a concise and easy-to-understand manner....Read more

This version of Advanced Engineering Mathematics by Prof. Erwin Kreyszig globally the most popular textbook on the subject is restructured to present the content in a concise and easy-to-understand manner. It fulfills the need for a book that not only effectively explains the concepts but also aids in visualizing the underlying geometric interpretation. Every chapter has easy to follow explanation of the theory and numerous step-by-step solved problems and examples. The questions have been hand-picked to suit the current pattern of questions asked. Extreme care has been taken to provide careful and correct mathematics outstanding exercises. Table of Contents: Chapter 1 Linear Algebra Introduction to Matrices Definition and Notation: Matrices Inverse of a Matrix by Elementary Transformations (or Gauss-Jordan Method) Rank of a Matrix System of Linear Equations Consistency of Homogeneous Linear System of Equations Linear Transformations (in General) Eigenvalues and Eigenvectors Cayley-Hamilton Theorem Diagonalization and Powers of a Matrix Quadratic Forms Vector Spaces Chapter 2 Differential Calculus I Introduction Successive Differentiation: nth Derivative of Standard Functions Leibniz's Theorem Taylor's and Maclaurin's Theorems Expansion of Functions Asymptotes Tracing the Curve in Cartesian Form Tracing the Curves in Polar Form Tracing of Curves in Parametric Form Chapter 3 Differential Calculus 2 Introduction Limits and Continuity Partial Derivatives Variables Treated as Constant Euler's Theorem on Homogeneous Function Total Differential Jacobians Taylor's and Maclaurin's Theorems and Expansion of Functions Maxima and Minima of Function of Two Variables Constrained Maxima and Minima (Lagrange's Method of Undetermined Multipliers) Leibniz Rule for Differentiation under Integral Sign Chapter 4 Integral Calculus Definite Integral as a Limit of Riemann Sums Area of Surfaces of Revolution Volume of Solid of Revolution Volume of Solid of Revolution (about x-Axis) Double Integrals Change of Order of Integration (Reverse Order of Integration) Area using Double Integrals Volume using Double Integral Triple Integral for Cartesian Co-ordinates Change of Variables in Multiple Integrals Beta and Gamma Functions Dirichlet's Integrals and Applications Chapter 5 Infinite Series Introduction Sequences Series Geometric Series Series of Positive Terms Harmonic Series of Order p (p-Series) Comparison Tests D'Alembert's Ratio Test More Tests for Convergence (Optional) Integral Test Cauchy's nth Root Test Leibniz Test on Alternating Series Series of Positive and Negative Terms Power Series Convergence of Exponential Logarithmic and Binomial Series Uniform Convergence of Series of Functions Exercises Answers

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