Advanced Algebra, Part 1

E. A. Maxwell (Autor)

Buch | Softcover

324 Seiten

2009
Cambridge University Press (Verlag)
978-0-521-10267-4 (ISBN)

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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.

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.

Erscheint lt. Verlag	12.3.2009
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	140 x 216 mm
Gewicht	410 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	0-521-10267-7 / 0521102677
ISBN-13	978-0-521-10267-4 / 9780521102674
Zustand	Neuware