Conflicts Between Generalization, Rigor, and Intuition: Number Concepts Underlying the Development of Analysis in 17-19th Century France and Germany
Language: English
Published by Springer, 2005
Series: Book 5 of 59 - Sources and Studies in the History of Mathematics and Physical Sciences
- First Edition
- Hardcover
- Used
Condition: Used - Fine
£ 97.33
Quantity: 1 available
Add to basketItem description from seller
First printing. 8vo. 678 pp. Fine.
Seller Inventory # x08242
- Title
- Conflicts Between Generalization, Rigor, and Intuition: Number Concepts Underlying the Development of Analysis in 17-19th Century France and Germany
- Author
- Gert Schubring
- Publisher
- Springer
- Publication year
- 2005
- Condition
- Fine
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387228365
- ISBN 13
- 9780387228365
- Edition
- First Edition.
- Series
- Book 5 of 59: Sources and Studies in the History of Mathematics and Physical Sciences
"Synopsis" may belong to another edition of this title.
From the Back Cover
Conflicts Between Generalization, Rigor, and Intuition undertakes a historical analysis of the development of two mathematical concepts -negative numbers and infinitely small quantities, mainly in France and Germany, but also in Britain, and the different paths taken there.
This book not only discusses the history of the two concepts, but it also introduces a wealth of new knowledge and insights regarding their interrelation as necessary foundations for the emergence of the 19th century concept of analysis. The historical investigation unravels several processes underlying and motivating conceptual change: generalization (in particular, algebraization as an agent for generalizing) and a continued effort of intuitive accessibility which often conflicted with likewise desired rigor. The study focuses on the 18th and the 19th centuries, with a detailed analysis of Lazare Carnot's and A. L. Cauchy's foundational ideas.
By researching the development of the concept of negative and infinitely small numbers, the book provides a productive unity to a large number of historical sources. This approach permits a nuanced analysis of the meaning of mathematical ideas as conceived of by 18th and 19th century scientists, while illustrating the authors' actions within the context of their respective cultural and scientific communities. The result is a highly readable study of conceptual history and a new model for the cultural history of mathematics.
"About the title" may belong to another edition of this title.
Shipping rates within U.S.A.
| Item | 5 to 14 business days | 3 to 6 business days |
|---|---|---|
| First item | £ 4.54 | £ 9.07 |
Payment methods
Store description
Used and rare bookseller based in New York City.
Specialty
Art, photography, design, literature, scholarlySeller's business information
Zed Books
NY, U.S.A.
Terms of sale
All books are sold on approval. If you feel that the book was not accurately described, I'll refund
the purchase. I'm careful about the condition of the books I sell and grading is according to
industry standards. Generally, all flaws will be mentioned, however, some slight imperfections may
be judged as not worthy of specific mention. Customers are always welcome to request more
detailed information about a book's condition prior to ordering and I'm happy to explain any of the
terminology used in the descriptions in, in some cases, to supply images upon request. Identification of first editions is accurate and I'll gladly provide a reference. First edition means first printing of the first edition.
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to Zed Books, New York, New York, U.S.A., without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.
Shipping terms
All domestic orders ship within 2 business days. Shipping costs are based on books weighing 2.2 LBs, or 1 KG. If your order is heavy or oversized, I may contact you to let you know that extra shipping will be required, particularly if you request priority shipping. I ship through the U.S. Post Office. For domestic orders, I typically purchase insurance for books valued $100 and over.
For most international orders, I use USPS priority international or first class international mail. In order to qualify for the advertised rates, a book must fit into a standard size priority envelope which is about 9" x 12" or 23cm x 30cm--the thicker the book, the less likely to fit. If the book will not fit inside the international priority envelope, it will have to be shipped via first class international or priority which is typically more expensive. Shipping time for international orders is usually 6-10 days, not including custom delays.
All books are shipped in cardboard boxes with bubble wrap inside. As mentioned above, domestic priority and priority international shipments may require the book to be shipped in a USPS priority envelope which is less sturdy than a cardboard box. Customers ordering priority or priority international are welcome to contact me prior to ordering the book in order to inquire about the possibility or added costs of shipping in a cardboard box rather than the USPS flat rate envelope.