Eriksson, K.
Calculus in Several Dimensions: 3 (Applied Mathematics: Body & Soul)
- ISBN 13:
- 9783540008910
- author:
- Eriksson, K.
- format:
- HardBack
- publisher:
- Springer
- language:
- English
- Publication Year:
- 2003
- Pages:
- 428
- Dimensions:
- 155 mm X 235 mm
- Genre:
- Chemistry
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Applied Mathematics: Body and Soul Calculus in Several Dimensions by Kenneth Eriksson, Donald Estep, and Claes Johnson is a comprehensive textbook that presents modern versions of Calculus and Linear Algebra. The book synthesizes Mathematical Analysis, Numerical Computation, and Application, providing a unique approach to mathematical modeling in engineering and science. Volume I covers the basics of Calculus, including the construction of numbers, analytic geometry in multiple dimensions, Lipschitz continuous functions, and derivatives. Volume II develops the Riemann integral as the solution to determining a function given its derivative, and proceeds to generalizations in initial value problems for systems of ordinary differential equations. Linear algebra, including numerics, is also presented. Volume III presents Calculus in several variables, including partial derivatives, multi-dimensional integrals, partial differential equations, and finite element methods. This book provides a thorough understanding of mathematical modeling and its applications in various fields, making it an essential resource for undergraduate programs in engineering and science.
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