Multivariable Calculus with Linear Algebra and Series is popular PDF and ePub book, written by William F. Trench in 2014-05-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Multivariable Calculus with Linear Algebra and Series can be Read Online from any device for your convenience.
Multivariable Calculus with Linear Algebra and Series Book PDF Summary
Multivariable Calculus with Linear Algebra and Series presents a modern, but not extreme, treatment of linear algebra, the calculus of several variables, and series. Topics covered range from vectors and vector spaces to linear matrices and analytic geometry, as well as differential calculus of real-valued functions. Theorems and definitions are included, most of which are followed by worked-out illustrative examples. Comprised of seven chapters, this book begins with an introduction to linear equations and matrices, including determinants. The next chapter deals with vector spaces and linear transformations, along with eigenvalues and eigenvectors. The discussion then turns to vector analysis and analytic geometry in R3; curves and surfaces; the differential calculus of real-valued functions of n variables; and vector-valued functions as ordered m-tuples of real-valued functions. Integration (line, surface, and multiple integrals) is also considered, together with Green's and Stokes's theorems and the divergence theorem. The final chapter is devoted to infinite sequences, infinite series, and power series in one variable. This monograph is intended for students majoring in science, engineering, or mathematics.
Detail Book of Multivariable Calculus with Linear Algebra and Series PDF
- Author : William F. Trench
- Release : 10 May 2014
- Publisher : Academic Press
- ISBN : 9781483259208
- Genre : Mathematics
- Total Page : 771 pages
- Language : English
- PDF File Size : 9,8 Mb
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