# Prof. W. W. Sawyer's work

Listed below is the work done by Prof. Sawyer.
The list contains most of his Books, Articles, Mathematical Theories, Talks and the most popular -
'Notes from Saturday morning sessions'. Where available, we have given links to PDF files or external websites.
Thanks to Ms. Anne & Mr. Pedro Leon for sharing their collection of articles.

**An appeal**: If you are in possession of any of Mr. Sawyer's work that is listed here but not linked,
and would like to share it with other readers, please contact us.

# Puzzles / Games

### Idea to win the game of Dots and Squares

PDF (206 KB)### Word Changing

PDF (157 KB)### 13th Avenue puzzle

PDF (21 KB)## Books

- Mathematician's Delight (Penguin 1943)
- Mathematics in Theory and Practice (Odhams 1948) (edited by Sawyer, who wrote six of the ten chapters)
- Prelude to Mathematics (Penguin 1955)
- Designing and Making (with L. G. Srawley) (Blackwell 1957)
- A Concrete Approach to Abstract Algebra (W. H. Freeman 1959)
- Math Patterns in Science (American Education Publications, 1960)(PDF 666 KB)
- What is Calculus About? (New Mathematical Library, S.M.S.G., Yale 1961)
- Introducing Mathematics: 1 - Vision in Elementary Mathematics (Penguin 1964)
- A Path to Modern Mathematics (Penguin 1966)
- Introducing Mathematics: 4 - A Path to Modern Mathematics (Penguin 1966)
- Maths Workshop, a work text for children (with teacher's guides)

Levels A-F, with Wirtz, Botel and Beberman. (Encyclopedia Britannica Press, Chicago, Toronto 1962; revised 1967) - Introducing Mathematics: 3 - The Search for Pattern (Penguin 1970)
- An Engineering Approach to Abstract Algebra (Cambridge, 1972. Electronic rights, Cambridge University Press 2010)
- A Concrete Approach to Abstract Algebra (Dover Publications 1977. Electronic rights, Cambridge University Press 2009)
- A First Look at Numerical Functional Analysis (Oxford University Press 1978)
- Prelude to Mathematics (Dover Publications 1979)
- Vision in Elementary Mathematics (Dover Publications 2001)
- Prelude to Mathematics (in Chinese, Commonwealth Publishers, Taiwan 2005)
- Mathematician's Delight (Dover Publications 2007)
- A First Look at Numerical Functional Analysis (Dover Publications 2010)
- What is Calculus About? (Mathematical Association of America)

### Translations

Prof. Sawyer's books have been translated into French, Dutch, German, Italian, Polish, Romanian, Swedish, Russian, Japanese and Chinese.## Articles

- Elementary Mathematics
- Advanced Mathematics
- General
- Algebra, a vital ingredient (PDF 431 KB)
- Algebra by computer (PDF 176 KB)
- A Mathematician as a person (PDF 488 KB)
- A Mathematician's Apology Revisited
- A strategy for improving education at all levels, with particular reference to Mathematics (PDF 562 KB)
- A Teaching Experience in the U.S.A.
**Abstract and Concrete: A series on the Teaching of Mathematics (PDF 4.58MB)**- Algebra, The Cement of Mathematics
- Catering for the Extremes
- Dialectic and Logic
- Mathematics as History
- Mathematics, emotions and things
- "Modern Math" and its Critics
- Notes on the Art of Passing Exams
- Oscillation in Systems of Mathematical Education
- Ostwald on Education
- Problems in the teaching of Mathematics (lecture to Indian Mathematical Society)
- Question involving moment function and conjectures
- Saturday Morning Mathematics in Cambridge
- Some Thoughts on Education and Mathematics
- Some Thoughts on Examinations
- The "Modern Math" Epoch in the United States
- The Contribution of Music to Mathematical Discovery
- The possibility of Universal Mathematical Literacy (New York State Mathematics Teachers Journal, October 1958) (PDF 255 KB)
- Thermodynamics
- The Importance of the Unbelievable
- Two Avenues to Advance in Mathematical Education
**Talk that was not given (PDF 5.65MB)**- Unwise pressure
- What use are abstract spaces?

## Notes from Saturday morning sessions

- Analytical Functions (PDF 866 KB)
- Application to Electromagnatic theory and other topics (PDF 3.30 MB)
- Calculus of variations (PDF 860 KB)
- Calculus via logarithms? (PDF 558 KB)
- Certain puzzles and problems (PDF 743 KB)
- Continued Fractions (PDF 140 KB)
- Error in Trapezoid rule (PDF 55 KB)
- Functions and mappings (PDF 5.93 MB)
- Glimpses of 20th century Mathematics (PDF 124 KB)
- Integration by part (PDF 175 KB)
- Lorentz transformation and Traditional Electromagnetic Theory (PDF 1.16 MB)
- Maxwell's equation in relativity forms (PDF 515 KB)
- Untitled article (PDF 1.12 MB)
- Untitled article (PDF 3.48 MB)
- Mathematics, Emotions and Things (PDF 390 KB)
- Modern Math and its critics (PDF 155 KB)(Article also available in text format. See General list above.)
- Thermodynamics (PDF 360 KB)
- Topics related to Quantum Theroy (PDF 1.35 KB)