MARC details
| 000 -LEADER |
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| fixed length control field |
02662nam a22002897a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250317173443.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250317b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781498775250 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
510.6 |
| Item number |
DEA-B |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Deaconu, Valentin |
| 245 12 - TITLE STATEMENT |
|---|
| Title |
Bridge to higher mathematics |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Boca Raton : |
| Name of publisher, distributor, etc. |
CRC Press, Taylor & Francis Group, |
| Date of publication, distribution, etc. |
2017. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xiv, 203 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
24 cm. |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Textbooks in mathematics |
| 500 ## - GENERAL NOTE |
|---|
| General note |
"A Chapman & Hall book." |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using quantifiers. Students will solve many puzzles and encounter some mysteries and challenging problems. The emphasis is on proof. To progress towards mathematical maturity, it is necessary to be trained in two aspects: the ability to read and understand a proof and the ability to write a proof. The journey begins with elements of logic and techniques of proof, then with elementary set theory, relations and functions. Peano axioms for positive integers and for natural numbers follow, in particular mathematical and other forms of induction. Next is the construction of integers including some elementary number theory. The notions of finite and infinite sets, cardinality of counting techniques and combinatorics illustrate more techniques of proof. For more advanced readers, the text concludes with sets of rational numbers, the set of reals and the set of complex numbers. Topics, like Zorn’s lemma and the axiom of choice are included. More challenging problems are marked with a star. All these materials are optional, depending on the instructor and the goals of the course. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Proof theory |
| Form subdivision |
Textbooks |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Logic, symbolic and mathematical |
| Form subdivision |
Textbooks |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics |
| Form subdivision |
Textbooks |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Pfaff, Donald C. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of content |
| Uniform Resource Identifier |
<a href="https://www.routledge.com/A-Bridge-to-Higher-Mathematics/Deaconu-Pfaff/p/book/9781498775250?srsltid=AfmBOorcyXMF46D204vSbRsY7oaVq-WJj576MHLKetL6gE-Z37SspMqi#googlePreviewContainer">https://www.routledge.com/A-Bridge-to-Higher-Mathematics/Deaconu-Pfaff/p/book/9781498775250?srsltid=AfmBOorcyXMF46D204vSbRsY7oaVq-WJj576MHLKetL6gE-Z37SspMqi#googlePreviewContainer</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/28755712-a-bridge-to-higher-mathematics?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/28755712-a-bridge-to-higher-mathematics?ref=nav_sb_ss_1_13#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
Book |
