Mathematics: A Concise History and Philosophy / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
$76.20
Buy Used
Buy Used from BN.com
$57.97
(Save 31%)
Item is in good condition but packaging may have signs of shelf wear/aging or torn packaging.
Condition: Used – Good details
Used and New from Other Sellers
Used and New from Other Sellers
from $24.75
Usually ships in 1-2 business days
(Save 70%)
Other sellers (Hardcover)
  • All (16) from $24.75   
  • New (6) from $37.21   
  • Used (10) from $24.75   

Overview

This is a concise introductory textbook for a one semester course in the history and philosophy of mathematics. It is written for mathematics majors, philosophy students, history of science students and secondary school mathematics teachers. The only prerequisite is a solid command of pre-calculus mathematics. It is shorter than the standard textbooks in that area and thus more accessible to students who have trouble coping with vast amounts of reading. Furthermore, there are many detailed explanations of the important mathematical procedures actually used by famous mathematicians, giving more mathematically talented students a greater opportunity to learn the history and philosophy by way of problem solving. Several important philosophical topics are pursued throughout the text, giving the student an opportunity to come to a full and consistent knowledge of their development. These topics include infinity, the nature of motion, and Platonism. This book offers, in fewer pages, a deep penetration into the key mathematical and philosophical aspects of the history of mathematics.

This concise introduction explores the key mathematical and philosophical aspects of the history of mathematics. Detailed explanations of mathematical procedures used by famous mathematicians give readers a greater opportunity to learn the history and philosophy through problem solving. 23 illustrations.

Read More Show Less

Editorial Reviews

From the Publisher
"...The book is well written and will help those who look for a deeper understanding of mathematical culture." — MATHEMATICAL REVIEWS
Read More Show Less

Product Details

Table of Contents

Preface
1 Mathematics for Civil Servants 1
2 The Earliest Number Theory 7
3 The Dawn of Deductive Mathematics 13
4 The Pythagoreans 17
5 The Pythagoreans and Perfection 23
6 The Pythagoreans and Polyhedra 29
7 The Pythagoreans and Irrationality 35
8 The Need for the Infinite 43
9 Mathematics in Athens Before Plato 49
10 Plato 57
11 Aristotle 61
12 In the Time of Eudoxus 69
13 Ruler and Compass Constructions 75
14 The Oldest Surviving Math Book 81
15 Euclid's Geometry Continued 87
16 Alexandria and Archimedes 95
17 The End of Greek Mathematics 105
18 Early Medieval Number Theory 113
19 Algebra in the Early Middle Ages 119
20 Geometry in the Early Middle Ages 123
21 Khayyam and the Cubic 127
22 The Later Middle Ages 131
23 Modern Mathematical Notation 137
24 The Secret of the Cubic 141
25 The Secret Revealed 147
26 A New Calculating Device 153
27 Mathematics and Astronomy 157
28 The Seventeenth Century 161
29 Pascal 167
30 The Seventeenth Century II 175
31 Leibniz 181
32 The Eighteenth Century 185
33 Lagrange 191
34 Nineteenth-Century Algebra 195
35 Nineteenth-Century Analysis 199
36 Nineteenth-Century Geometry 203
37 Nineteenth-Century Number Theory 209
38 Cantor 213
39 Foundations 217
40 Twentieth-Century Number Theory 221
References 227
Appendix A Sample Assignments and Tests 229
Appendix B Answers to Selected Exercises 245
Index 257
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)