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Advanced Calculus, Theory and Practice by John Srdjan Petrovic



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Advanced Calculus, Theory and Practice by John Srdjan Petrovic , Western Michigan University, Kalamazoo, USA. Published by Taylor & Francis Group
This text was written for a one-semester or a two-semester course in advanced calculus. It has several goals: To expand the material covered in elementary calculus, and to present it in a rigorous fashion; to improve problem-solving and proof-writing skills of students; to make the reader aware of the historical development of calculus concepts and the reasons behind it; and to point out the connection between various topics.

Advanced Calculus, Theory and Practice by John Srdjan Petrovic cover the following topics.

  • Preface
    1. Sequences and Their Limits
    2. Real Numbers
    3. Continuity
    4. Derivative
    5. Indefinite Integral
    6. Definite Integral
    7. Infinite Series
    8. Sequences and Series of Functions
    9. Fourier Series
    10. Functions of Several Variables
    11. Derivatives
    12. Implicit Functions and Optimization
    13. Integrals Depending on a Parameter
    14. Integration in Rn
    15. Fundamental Theorems
    16. Solutions and Answers to Selected Problems
    Bibliography
    Subject Index
    Author Index

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