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Look Inside Advanced Algebra

Advanced Algebra

Part 1

£35.99

  • Date Published: March 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521102674

£ 35.99
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  • The scope and treatment of Dr Maxwell's two-volume course covering the transition from school to university is directed towards training students in algebraic thinking, so that processes do not become too mechanical. The explanations are full, the difficulties of the beginner are foreseen and overcome. Indeed, the course should prove excellent for the lone student as well as for the supervised class. Topics in part one include polynomial theory, equations, inequalities, partial fractions, permutations and combinations, the binomial theorem and series and determinants. The 'feel' of the book may be illustrated by reference to the treatment of partial fractions, which is novel in several ways. A theoretical exposition is given in some detail and varies from standard treatments in leading to a method of calculation that arises directly from it. The book contains many 'drill' examples, which the author considers essential.

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    Product details

    • Date Published: March 2009
    • format: Paperback
    • isbn: 9780521102674
    • length: 324 pages
    • dimensions: 216 x 140 x 18 mm
    • weight: 0.41kg
    • availability: Available
  • Table of Contents

    Preface
    Introduction
    1. Some fundamental ideas and notations
    2. The linear polynomial
    3. The quadratic polynomial
    4. Complex numbers
    5. The transformation of equations
    synthetic division and the remainder theorem
    6. Introduction to the general polynomial
    7. Solutions of equations
    8. Solution of simultaneous equations
    9. The graph of a polynomial
    10. Partial fractions
    11. Inequalities
    12. The graph of a rational function
    13. Permutations and combinations
    14. The binomial theorem
    15. The summation of series
    16. Infinite series
    17. The binomial series
    18. The exponential series
    19. The logarithmic series
    20. Elementary properties of determinants
    Answers to examples.

  • Author

    E. A. Maxwell

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