- 771 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Multivariable Calculus with Linear Algebra and Series
About this book
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.
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Information
Table of contents
- Front Cover
- Multivariable Calculus with Linear Algebra and Series
- Copyright Page
- Table of Contents
- Dedication
- Preface
- Acknowledgments
- Chapter 1. Linear Equations and Matrices
- Chapter 2. Vector Spaces and Linear Transformations
- Chapter 3. Vectors and Analytic Geometry
- Chapter 4. Differential Calculus of Real-Valued Functions
- Chapter 5. Differential Calculus of Vector- Valued Functions
- Chapter 6. Integration
- Chapter 7. Series
- Answers to Selected Problems
- Subject Index
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Yes, you can access Multivariable Calculus with Linear Algebra and Series by William F. Trench,Bernard Kolman in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.