Analysis with Ultrasmall NumbersKarel Hrbacek, Olivier Lessmann, Richard O'Donovan. (Record no. 75892)

MARC details
000 -LEADER
fixed length control field 02826cam a2200469Mi 4500
001 - CONTROL NUMBER
control field ocn894169680
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240726104720.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 141101s2015 flu o 000 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency EBLCP
Language of cataloging eng
Description conventions pn
-- rda
Transcribing agency EBLCP
Modifying agency NT
-- CUS
-- DEBSZ
-- CRCPR
-- OCLCO
-- OCLCQ
-- OCLCO
-- NT
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781498702669
Qualifying information
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier DEBSZ
System control number 42003515X
050 04 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA303
Item number .A535 2015
049 ## - LOCAL HOLDINGS (OCLC)
Holding library NTA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Hrbacek, Karel,
Dates associated with a name 1944-
Relator term Author
245 10 - TITLE STATEMENT
Title Analysis with Ultrasmall NumbersKarel Hrbacek, Olivier Lessmann, Richard O'Donovan.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Boca Raton :
Name of publisher, distributor, etc. CRC Press, Taylor and Francis Group,
Date of publication, distribution, etc. (c)2015.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (320 pages).
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type data file
Source rda
490 1# - SERIES STATEMENT
Series statement Textbooks in Mathematics
500 ## - GENERAL NOTE
General note "A Chapman & Hall book."
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographies and index.
505 00 - FORMATTED CONTENTS NOTE
Formatted contents note Front Cover; Contents; Preface; Preface for Students; Acknowledgments; Authors; Part I: Elementary Analysis; Chapter 1: Basic Concepts; Chapter 2: Continuity and Limits; Chapter 3: Differentiability; Chapter 4: Integration of Continuous Functions; Part II: Higher Analysis; Chapter 5: Basic Concepts Revisited; Chapter 6: L'Hôpital's Rule and Higher Order Derivatives; Chapter 7: Sequences and Series; Chapter 8: First Order Differential Equations; Chapter 9: Integration; Chapter 10: Topology of Real Numbers; Answers to Exercises; Appendix: Foundations and Relative Set Theory; Bibliography.
500 ## - GENERAL NOTE
General note Back Cover.
520 0# - SUMMARY, ETC.
Summary, etc. Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon-delta methods. Students can fully prove fundamental results, such as the Extreme Value Theorem, from the axioms immediately, without needing to master notions of supremum or compactness. The book is suitable for a calculus course at the undergraduate or high school level or for self-study with an emphasis on nonstandard.
530 ## - COPYRIGHT INFORMATION:
COPYRIGHT INFORMATION COPYRIGHT NOT covered - Click this link to request copyright permission:
Uniform Resource Identifier <a href="b">b</a>
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Calculus.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Calculus
General subdivision History.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Calculus
General subdivision History.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Calculus.
655 #1 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic Books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Lessmann, Olivier.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name O'Donovan, Richard
Dates associated with a name 1953-
700 1# - ADDED ENTRY--PERSONAL NAME
Fuller form of name (Richard John),
856 40 - ELECTRONIC LOCATION AND ACCESS
-- Click to access digital title | log in using your CIU ID number and my.ciu.edu password.
Uniform Resource Identifier <a href="httpss://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=881675&site=eds-live&custid=s3260518">httpss://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=881675&site=eds-live&custid=s3260518</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)
DONATED BY:
VENDOR EBSCO
Classification part QA.
PUBLICATION YEAR 2015
LOCATION ONLINE
REQUESTED BY:
--
-- NFIC
Source of classification or shelving scheme
994 ## -
-- 02
-- NT
902 ## - LOCAL DATA ELEMENT B, LDB (RLIN)
a 1
b Cynthia Snell
c 1
d Cynthia Snell
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Source of acquisition Total Checkouts Full call number Barcode Date last seen Uniform Resource Identifier Price effective from Koha item type
        Non-fiction G. Allen Fleece Library G. Allen Fleece Library ONLINE 07/07/2023 EBSCO   QA303.2 ocn894169680 07/07/2023 httpss://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=881675&site=eds-live&custid=s3260518 07/07/2023 Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD)