This book explores the standard problem-solving techniques of multivariable mathematics — integrating vector algebra ideas with multivariable calculus and differential equations. Unique coverage including, the introduction of vector geometry and matrix algrebra, the early introduction of the gradient vector as the key to differentiability, optional numerical methods. For any reader interested in learning more about this discipline.
The core material of this text is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in ten or ...
Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones.
The only prerequisite for this text is a course in one-variable calculus.
It is in fact a fairly faithful representation of the material covered in the course “Math 51H—Honors Multivariable Mathematics” taught during the 10 week Autumn quarter in the Stanford Mathematics Department, and typically taken in the ...
The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis.
This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, ...
This text in multivariable calculus fosters comprehension through meaningful explanations.
Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics. This book provides a rigorous treatment of multivariable differential and integral calculus.
This book discusses as well the eigenstructures and quadratic forms. The final chapter deals with the geometric aspects of linear transformations. This book is a valuable resource for students.
This work provides a systematic examination of derivatives and integrals of multivariable functions.