| 000 -LEADER |
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| fixed length control field |
02672nam a22002777a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260630093733.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
260610b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783031734335 |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Edition number |
23 |
| Classification number |
511.1 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Preferred name for the person |
Klappenecker, Andreas, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Discrete structures / |
| Statement of responsibility, etc |
Andreas Klappenecker , Hyunyoung Lee. |
| 264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Cham, Switzerland : |
| Name of publisher, distributor, etc |
Springer Nature Switzerland , |
| Date of publication, distribution, etc |
[2025] |
| 264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Date of publication, distribution, etc |
©2025. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xv, 423 pages: |
| Other physical details |
illustrations (some color) ; |
| Dimensions |
24 cm |
| 336 ## - CONTENT TYPE |
|---|
| Source |
rdacontent |
| Content type term |
text |
| Content type code |
txt |
| 337 ## - MEDIA TYPE |
|---|
| Source |
rdamedia |
| Media type term |
unmediated |
| Media type code |
n |
| 338 ## - CARRIER TYPE |
|---|
| Source |
rdacarrier |
| Carrier type term |
volume |
| Carrier type code |
nc |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - CONTENTS |
|---|
| Formatted contents note |
Part I. Discrete Structures -- 1. Introduction -- 2. Mathematical Arguments -- 3. Sets -- 4. Proofs by Induction -- 5. Equivalence Relations -- 6. Partial Orders and Lattices -- 7. Floor and Ceiling Functions -- 8. Number Theory -- Part II. Summation and Asymptotics -- 9. Sums -- 10. Asymptotic Analysis -- Part III. Combinatorics -- 11. Counting -- 12. Generating Functions -- 13. Recurrence Relations -- 14. Graphs -- 15. Probability Theory. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
"The aim of this text is to introduce discrete mathematics to beginning students of mathematics or computer science. It does this by bringing some coherency into the seemingly incongruent subjects that compose discrete math, such as logic, set theory, algebra, and combinatorics. It emphasizes their theoretical foundations and illustrates proofs along the way. The book prepares readers for the analysis of algorithms by discussing asymptotic analysis and a discrete calculus for sums. The book also deduces combinatorial methods from the foundations that are laid out. Unlike other texts on this subject, there is a greater emphasis on foundational material that leads to a better understanding. To further assist the reader in grasping and practicing concepts, roughly 690 exercises are provided at various levels of difficulty. Readers are encouraged to study the examples in the text and solve as many of the exercises as possible. The text is intended for freshman or sophomore undergraduate students in mathematics, computer science, or similar majors. The assumed background is precalculus. The chapter dependency chart included is designed to help students, independent readers, and instructors follow a systematic path for learning and teaching the material, with the option to explore material in later chapters." |
| Assigning source |
Provided by publisher. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Discrete mathematics. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lee, Hyungyoung , |
| Relator term |
author. |
| 830 0# - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Undergraduate texts in mathematics. |
| 942 ## - ADDED ENTRY ELEMENTS |
|---|
| Source of classification or shelving scheme |
|
| Item type |
BOOK |