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A Handbook of Terms used in Algebra and Analysis

  • Date Published: September 1972
  • availability: Available
  • format: Paperback
  • isbn: 9780521096959


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About the Authors
  • Degree students of mathematics are often daunted by the mass of definitions and theorems with which they must familiarize themselves. In the fields algebra and analysis this burden will now be reduced because in A Handbook of Terms they will find sufficient explanations of the terms and the symbolism that they are likely to come across in their university courses. Rather than being like an alphabetical dictionary, the order and division of the sections correspond to the way in which mathematics can be developed. This arrangement, together with the numerous notes and examples that are interspersed with the text, will give students some feeling for the underlying mathematics. Many of the terms are explained in several sections of the book, and alternative definitions are given. Theorems, too, are frequently stated at alternative levels of generality. Where possible, attention is drawn to those occasions where various authors ascribe different meanings to the same term. The handbook will be extremely useful to students for revision purposes. It is also an excellent source of reference for professional mathematicians, lecturers and teachers.

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    Product details

    • Date Published: September 1972
    • format: Paperback
    • isbn: 9780521096959
    • length: 252 pages
    • dimensions: 230 x 155 x 14 mm
    • weight: 0.372kg
    • availability: Available
  • Table of Contents

    1. Some mathematical language
    2. Sets and functions
    3. Equivalence relations and quotient sets
    4. Number systems I
    5. Groups I
    6. Rings and fields
    7. Homomorphisms and quotient algebra's
    8. Vector spaces and matrices
    9. Linear Equations and rank
    10. Determinants and multi linear mappings
    11. Polynomials
    12. Groups II
    13. Number systems II
    14. Fields and polynomials
    15. Lattices and Boolean algebra
    16. Ordinal numbers
    17. Eigenvectors and eigenvalues
    18. Quadratic forms and inner products
    19. Categories and functors
    20. Metric spaces and continuity
    21. Topological spaces and continuity
    22. Metric Spaces II
    23. The real numbers
    24. Real-valued function of real variable
    25. Differentiable functions of one variable
    26. Functions of several real variables
    27. Integration
    28. Infinite series and products
    29. Improper integrals
    30. Curves and arc length
    31. Functions of a complex variable
    32. Multiple integrals
    33. Logarithmic, exponential and trigonometric functions
    34. Vector algebra
    35. Vector calculus
    36. Line and surface integrals
    37. Measure and lebesgue integration
    38. Fourier series
    Appendix 1 some 'named' theorems and properties
    Appendix 2 Alphabets used in mathematics
    Index of symbols
    Subject index.

  • Author

    A. G. Howson

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