Calculus and Linear Algebra Vol. 2 by Wilfred Kaplan
Calculus and Linear Algebra Vol. 2 - Table of Contents
9. Vector Spaces
10. Matrices and Determinents
11. Linear Euclidean Geometry
12. Differential Calculus of Functions and Several Variables
13. Integral Calculus of Functions and Several Variables
14. Ordinary Differential Equations
What You Will Learn in Calculus and Linear Algebra Vol. 2
"Calculus and Linear Algebra Vol. 2" by Wilfred Kaplan and Donald Lewis is an advanced mathematics textbook designed for university students who have completed introductory calculus. This volume focuses on "Multivariable Calculus", extending concepts like partial derivatives, multiple integrals, and vector calculus. The text provides clear, step-by-step explanations, making complex topics accessible while maintaining mathematical rigor. It emphasizes understanding both theory and practical applications, helping students develop strong analytical skills.
In addition to calculus, the book thoroughly covers "Linear Algebra", including matrices, determinants, eigenvalues, and linear transformations. By integrating these topics, it allows students to see the connections between different areas of mathematics. Each chapter includes worked examples and exercises that reinforce learning and promote problem-solving, giving students a solid foundation in both "Calculus Concepts" and "Matrix Theory". The examples are designed to illustrate real-world applications in physics, engineering, and other STEM fields.
One of the key strengths of "Calculus and Linear Algebra Vol. 2" is its comprehensive and structured approach. Students can progress from multivariable calculus to linear algebra seamlessly, making it a complete resource for higher-level mathematics study. With clear explanations, practical examples, and challenging exercises, it is an ideal guide for mastering advanced mathematical concepts and strengthening "Problem Solving" skills.
Book Details & Specifications
Title:
Calculus and Linear Algebra Vol. 2 by Wilfred Kaplan
Publisher:
University of Michigan Library
Year:
2007
Pages:
606
Type:
PDF
Language:
English
ISBN-10 #:
1425589340
ISBN-13 #:
978-1425589349
License:
External Educational Resource
Amazon:
Amazon
About the Author: Wilfred Kaplan and Donald J. Lewis
The author
Wilfred Kaplan and Donald J. Lewis
are mathematicians known for their work in "calculus", "linear algebra", and "mathematics education". Kaplan earned his PhD from the University of Michigan and taught there for decades, while Lewis has expertise in applied mathematics and university-level teaching. Both focused on creating clear, structured textbooks that support student learning. Their collaboration on "Calculus and Linear Algebra Vol. 2" emphasizes "problem-solving", "conceptual understanding", and "accessible explanations", helping students grasp advanced mathematics confidently. Their work remains a valuable resource for "undergraduate mathematics education" worldwide.
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