Mathematical Methods for Scientists and Engineers"Intended for upper-level undergraduate and graduate courses in chemistry, physics, math and engineering, this book will also become a must-have for the personal library of all advanced students in the physical sciences. Comprised of more than 2000 problems and 700 worked examples that detail every single step, this text is exceptionally well adapted for self study as well as for course use."--From publisher description. |
Contents
Functions of a Single Variable | 1 |
Brook Taylor and Colin Maclaurin | 62 |
Infinite Series | 63 |
Leonhard Euler | 114 |
Functions Defined As Integrals | 115 |
William Hamilton | 158 |
Complex Numbers and Complex Functions | 159 |
The Geometric Interpretation of the Complex Numbers | 189 |
Henri Poincaré | 624 |
Qualitative Methods for Nonlinear Differential Equations | 625 |
CharlesFrançois Sturm and Joseph Liouville | 666 |
Orthogonal Polynomials and SturmLiouville Problems | 667 |
Transfinite Numbers | 711 |
Fourier Series | 713 |
Karl Weierstrass | 745 |
Partial Differential Equations | 747 |
Vectors | 191 |
The Concept of Fractal Dimension | 229 |
Functions of Several Variables | 231 |
George Stokes and George Green | 300 |
Vector Calculus | 301 |
Carl Jacobi | 348 |
Curvilinear Coordinates | 349 |
Carl Friedrich Gauss | 396 |
Linear Algebra and Vector Spaces | 397 |
Arthur Cayley and James Joseph Sylvester | 454 |
Matrices and Eigenvalue Problems | 455 |
Jacob Bernoulli | 514 |
Ordinary Differential Equations | 515 |
The Weierstrass Function | 573 |
Series Solutions of Differential Equations | 575 |
Why No Women Mathematicians? | 813 |
Integral Transforms | 815 |
Augustin Louis Cauchy and Bernhard Riemann | 868 |
Theory | 869 |
Harry Nyquist and Nikolai Joukowski | 920 |
Applications | 921 |
Johann Bernoulli | 984 |
Calculus of Variations | 985 |
Siméon Denis Poisson and Andrei A Markov | 1022 |
Probability Theory and Stochastic Processes | 1023 |
Karl Pearson and Ronald A Fisher | 1074 |
Mathematical Statistics | 1075 |
Answers to Selected Problems | 1123 |
Illustration Credits | 1154 |
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Common terms and phrases
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