History of Mathematics: A Supplement

5 avg rating
( 2 ratings by Goodreads )
 
9780387754802: History of Mathematics: A Supplement
View all copies of this ISBN edition:
 
 

General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.

"synopsis" may belong to another edition of this title.

From the Back Cover:

This book attempts to fill two gaps which exist in the standard textbooks on the History of Mathematics. One is to provide students with material that could encourage more critical thinking. General textbooks, attempting to cover three thousand years of mathematical history, must necessarily oversimplify almost everything, the practice of which can scarcely promote a critical approach to the subject. For this reason, Craig Smorynski chooses a more narrow but deeper coverage of a few select topics.

The second aim of this book is to include the proofs of important results which are typically neglected in the modern history of mathematics curriculum. The most obvious of these is the oft-cited necessity of introducing complex numbers in applying the algebraic solution of cubic equations. This solution, though it is now relegated to courses in the History of Mathematics, was a major occurrence in the history of mathematics. It was the first substantial piece of mathematics in Europe that was not a mere extension of what the Greeks had done and thus signified the coming of age of European mathematics. The fact that the solution, in the case of three distinct real roots to a cubic, necessarily involved complex numbers both made inevitable the acceptance and study of these numbers and provided a stimulus for the development of numerical approximation methods.

Other unique features include:

* a prefatory essay on the ways in which sources may be unreliable, followed by an annotated bibliography;

* a modern recounting of a Chinese word problem from the 13th century, illustrating the need for consulting multiple sources when the primary source is unavailable;

* the solution of the cubic equation, including multiple proofs that the algebraic solution uses complex numbers whenever the cubic equation has three distinct real solutions;

* a critical reappraisal of Horner's Method;

The final chapter contains lighter material, including a critical look at North Korea's stamps commemorating the 350th birthday of Newton, historically interesting (and hard to find) poems, and drinking songs or limericks with mathematical themes. The appendix outlines a few, small projects which could serve as replacements for the usual term papers.

Craig Smorynski is also the author of "Self-Reference and Modal Logic" and "Logical Number Theory I".

Review:

From the reviews:

"This is very personal book, full of personal asides and footnotes that reveal the author’s thought process. It’s also an argumentative book ... which made me want to argue back. I kept reading. ... this is an interesting book. ... I do think anyone who teaches history of mathematics can find useful things here." (Fernando Q. Gouvêa, MathDL, December, 2007)

"This volume ... aims to discuss just a few topics from pre-20th-century mathematics, but to address them in some mathematical and historical detail. ... The book includes an appendix offering a dozen historical/mathematical projects. Overall, an interesting volume. Summing Up: Recommended. Upper-division undergraduates through researchers/faculty." (S. J. Colley, CHOICE, Vol. 45 (11), August, 2008)

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Smorynski, Craig
Published by Springer (2007)
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Quantity Available: 1
Seller:
Zubal-Books
(Cleveland, OH, U.S.A.)
Rating
[?]

Book Description Springer, 2007. Condition: New. 274 pp., Hardcover, new. Seller Inventory # ZB1098374

More information about this seller | Contact this seller

Buy New
US$ 25.44
Convert Currency

Add to Basket

Shipping: US$ 3.50
Within U.S.A.
Destination, Rates & Speeds

2.

Smorynski C.
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Quantity Available: 5
Seller:
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Condition: New. New. US edition. Perfect condition. Customer satisfaction our priority. Seller Inventory # ABE-FEB-38473

More information about this seller | Contact this seller

Buy New
US$ 34.23
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

3.

Smorynski C.
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Quantity Available: 5
Seller:
EBOOKSTORE2010
(New Delhi, ND, India)
Rating
[?]

Book Description Condition: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Seller Inventory # SHUB38473

More information about this seller | Contact this seller

Buy New
US$ 34.28
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

4.

Smorynski C.
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Quantity Available: 5
Seller:
Basi6 International
(Irving, TX, U.S.A.)
Rating
[?]

Book Description Condition: Brand New. New, US edition. Excellent Customer Service. Seller Inventory # ABEUSA-38473

More information about this seller | Contact this seller

Buy New
US$ 36.63
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

5.

Craig Smorynski
Published by Springer (2007)
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 2007. Hardcover. Condition: New. 2008. Seller Inventory # DADAX0387754806

More information about this seller | Contact this seller

Buy New
US$ 34.62
Convert Currency

Add to Basket

Shipping: US$ 4.99
Within U.S.A.
Destination, Rates & Speeds

6.

Craig Smorynski
Published by Springer (2007)
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Springer, 2007. Condition: New. book. Seller Inventory # M0387754806

More information about this seller | Contact this seller

Buy New
US$ 41.70
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

7.

Smorynski C.
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Hardcover Quantity Available: > 20
Seller:
bookscollection
(Delhi, DELHI, India)
Rating
[?]

Book Description Condition: Brand New. HARDCOVER, Book Condition New, U.S. EDITION. We Do not Ship APO FPO AND PO BOX. . Printing in English language.NO CD AND ACCESS CODE. Quick delivery by USPS/UPS/DHL/FEDEX/ARAMEX ,Customer satisfaction guaranteed. We may ship the books from Asian regions for inventory purpose. Seller Inventory # ABE ORGNEWCB #10317

More information about this seller | Contact this seller

Buy New
US$ 38.42
Convert Currency

Add to Basket

Shipping: US$ 3.94
From India to U.S.A.
Destination, Rates & Speeds

8.

Craig Smorynski
Published by Springer-Verlag New York Inc., United States (2007)
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Hardcover Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2007. Hardback. Condition: New. 2nd 2008 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum. Seller Inventory # LIE9780387754802

More information about this seller | Contact this seller

Buy New
US$ 52.00
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Craig Smorynski
Published by Springer-Verlag New York Inc. (2007)
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag New York Inc., 2007. HRD. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9780387754802

More information about this seller | Contact this seller

Buy New
US$ 48.76
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

10.

Smorynski, Craig
Published by Springer (2016)
ISBN 10: 0387754806 ISBN 13: 9780387754802
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Seller Inventory # ria9780387754802_lsuk

More information about this seller | Contact this seller

Buy New
US$ 54.69
Convert Currency

Add to Basket

Shipping: US$ 5.20
From United Kingdom to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book