Nonstandard Analysis In Higher Education, Logic and Philosophy
Language: English
Published by De Gruyter, 2024
- Softcover
- New

Seller: Revaluation Books, Exeter, United KingdomRevaluation Books
AbeBooks seller since January 6, 2003
Condition: New
£ 71.01
Quantity: 2 available
Add to basketItem description from seller
270 pages. 9.44x6.69x9.61 inches. In Stock.
Seller Inventory # __3111428877
- Title
- Nonstandard Analysis In Higher Education, Logic and Philosophy
- Author
- Kuhlemann, Karl
- Publisher
- De Gruyter
- Publication year
- 2024
- Condition
- Brand New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3111428877
- ISBN 13
- 9783111428871
- Item weight
- 0.67 kilograms
Currently, nonstandard analysis is barely considered in university teaching. The author argues that nonstandard analysis is valuable not only for teaching, but also for understanding standard analysis and mathematics itself. An axiomatic approach wich pays attention to different language levels (for example, in the distinction between sums of ones and the natural numbers of the theory) leads naturally to a nonstandard theory. For motivation historical ideas of Leibniz can be taken up. The book contains an elaborated concept that follows this approach and is suitable, for example, as a basis for a lecture-supplementary course.
The monograph part presents all major approaches to nonstandard analysis and discusses logical, model-theoretic, and set-theoretic investigations to reveal possible mathematical reasons that may lead to reservations about nonstandard analysis. Also various foundational positions as well as ontological, epistemological, and application-related issues are addressed. It turns out that the one-sided preference for standard analysis is justified neither from a didactic, mathematical nor philosophical point of view.
Thus, the book is especially valuable for students and instructors of analysis who are also interested in the foundations of their subject.
"Synopsis" may belong to another edition of this title.
About the Author
Karl Kuhlemann, studied mathematics and computer science at the Westfälische Wilhelms-Universität Münster. Following his studies, he worked as a systems engineer at IBM in Essen and Düsseldorf for five years. Since 1996, he has been employed as an IT consultant at Finanz Informatik in Münster. In addition to his main profession, he enrolled at the Gottfried Wilhelm Leibniz University Hannover in 2016, where he earned his Ph.D. in natural sciences from the Faculty of Mathematics and Physics in 2022. His research focus is on nonstandard analysis, particularly from the perspective of mathematical foundations and the philosophy of mathematics. He is also a co-author of articles on the history of mathematics.
"About the title" may belong to another edition of this title.
Revaluation Books
Exeter, United Kingdom
AbeBooks seller since January 6, 2003
Shipping rates from United Kingdom to U.S.A.
| Item | 7 to 14 business days | 2 to 3 business days |
|---|---|---|
| First item | £ 12.50 | £ 30.00 |
Payment methods
Seller's business information
Edward Bowditch Ltd
Exstowe, Exton
Exeter, United Kingdom EX3 0PP
Terms of sale
Legal entity name: Edward Bowditch Ltd
Legal entity form: Limited company
Business correspondence address: Exstowe, Exton, Exeter, EX3 0PP
Company registration number: 04916632
VAT registration: GB834241546
Authorised representative: Mr. E. Bowditch
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 Revaluation Books, Hounslow, United Kingdom, 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
Orders usually dispatched within two working days.