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For combined differential equations and linear algebra courses teaching students who have successfully completed three semesters of calculus.
This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It promotes in-depth understanding rather than rote memorization, enabling students to fully comprehend abstract concepts and leave the course with a solid foundation in linear algebra. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. A vast array of problems supports the material, with varying levels from which students/instructors can choose.
Features + Benefits
• A better integration of DE and Linear Algebra than other texts on the market.
• One of the most lucid and clearly written narratives on the subject, with material that is accessible to the average student yet challenging to all students.
• Highly flexible organization – Enablesinstructors to tailor the course to meet their needs.
• A greater emphasis on geometry – Helps students better visualize the abstract concepts.
• An ample number of worked examples to illustrate concepts.
• Boxed and/or shaded definitions for greater emphasis.
• Several application problems introduced in the first section of the text – Subsequently uses them throughout the following chapters to help motivate students.
1. First-Order Differential Equations
2. Matrices and Systems of Linear Equations
3. Determinants
4. Vector Spaces
5. Linear Transformation
6. Linear Differential Equations of Order n
7. Systems of Differential Equations
8. Series Solutions to Linear Differential Equations
9. The Laplace Transform and Some Elementary Applications
Appendices
A. Review of Complex Numbers
B. Review of Partial Fractions
C. Review of Integration Techniques
D. Linearly Independent Solutions to x2yn + xp(x)y1 + q(x)y = 0
E. Answers to Odd-Numbered Exercises
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It promotes in-depth understanding rather than rote memorization, enabling students to fully comprehend abstract concepts and leave the course with a solid foundation in linear algebra. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. A vast array of problems supports the material, with varying levels from which students/instructors can choose.
Features + Benefits
• A better integration of DE and Linear Algebra than other texts on the market.
• One of the most lucid and clearly written narratives on the subject, with material that is accessible to the average student yet challenging to all students.
• Highly flexible organization – Enablesinstructors to tailor the course to meet their needs.
• A greater emphasis on geometry – Helps students better visualize the abstract concepts.
• An ample number of worked examples to illustrate concepts.
• Boxed and/or shaded definitions for greater emphasis.
• Several application problems introduced in the first section of the text – Subsequently uses them throughout the following chapters to help motivate students.
1. First-Order Differential Equations
2. Matrices and Systems of Linear Equations
3. Determinants
4. Vector Spaces
5. Linear Transformation
6. Linear Differential Equations of Order n
7. Systems of Differential Equations
8. Series Solutions to Linear Differential Equations
9. The Laplace Transform and Some Elementary Applications
Appendices
A. Review of Complex Numbers
B. Review of Partial Fractions
C. Review of Integration Techniques
D. Linearly Independent Solutions to x2yn + xp(x)y1 + q(x)y = 0
E. Answers to Odd-Numbered Exercises
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.