Jordan D., Smith P. Mathematical Techniques 2ed 1998 torrent

Textbook in PDF format

Many students beginning their engineering and science courses need a book on mathematical methods to underpin their studies. This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree, and also for the routine methods needed by first-year mathematics students. Mathematical Techniques starts by revising work from pre-university level before developing the more advanced material which students will encounter during their undergraduate studies.
There is no questioning why the most prestigious universities have this book on their reading list for prospective students. In fact, Oxford University base their summer problem sheets for people holding offers on topics in this book. The reason it is so highly valued is this: it takes what you already know and expands upon in such a way that it is interesting, logical, and not at any point confusing. You don't have to be able to understand words longer than your arm or complex equations you'll never need to know again. With clear examples and many practical applications complete with huge sets of questions this is a must have book!
Standard functions and techniques
Differentiation
Further techniques for differentiation
Applications of differentiation
Taylor series and approximations
Complex numbers
Matrix algebra
Determinants
Elementary operations with vectors
The scalar product
Vector product and derivatives of vectors
Linear equations
Eigenvalues and eigenvectors
Antidifferentiation and area
The definite and indefinite integral
Applications involving the integral as a sum
Systematic techniques for integration
Unforced linear differential equations with constant coefficients
Forced linear differential equations
Harmonic functions and the harmonic oscillator
Steady forced oscillations: phasors, impedance, transfer functions
Graphical, numerical and other aspects of first-order equations
Nonlinear differential equations and the phase plane
The Laplace transform
Applications of the Laplace transform
Fourier series and Fourier transforms
Differentiation of functions of two variables
Functions of two variables: geometry and formulae
Chain rules, restricted MAXIMA, coordinate systems
Functions of any number of variables
Double integration
Line integrals
Vector fields: divergence and curl
Sets
Boolean algebra: logic gates and switching functions
Graph theory and its applications
Difference equations
Probabilty
Random variables and probability distributions
Descriptive statistics
Applications projects using symbolic computing