000 -LEADER |
fixed length control field |
a |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
231006b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470471484 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
513.2 |
Item number |
CIO |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Cioaba, Sebastian M. |
245 ## - TITLE STATEMENT |
Title |
Bridge to advanced mathematics : from natural to complex numbers |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher, distributor, etc |
American Mathematical Society, |
Date of publication, distribution, etc |
2023 |
Place of publication, distribution, etc |
Providence : |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xiii, 525 p. ; |
Other physical details |
ill., |
Dimensions |
26 cm |
365 ## - TRADE PRICE |
Price amount |
89.00 |
Price type code |
USD |
Unit of pricing |
86.10 |
490 ## - SERIES STATEMENT |
Series statement |
Pure and applied undergraduate texts, 1943-9334 ; |
Volume number/sequential designation |
v.58 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
Most introduction to proofs textbooks focus on the structure of rigorous mathematical language and only use mathematical topics incidentally as illustrations and exercises. In contrast, this book gives students practice in proof writing while simultaneously providing a rigorous introduction to number systems and their properties. Understanding the properties of these systems is necessary throughout higher mathematics. The book is an ideal introduction to mathematical reasoning and proof techniques, building on familiar content to ensure comprehension of more advanced topics in abstract algebra and real analysis with over 700 exercises as well as many examples throughout. Readers will learn and practice writing proofs related to new abstract concepts while learning new mathematical content. The first task is analogous to practicing soccer while the second is akin to playing soccer in a real match. The authors believe that all students should practice and play mathematics. The book is written for students who already have some familiarity with formal proof writing but would like to have some extra preparation before taking higher mathematics courses like abstract algebra and real analysis. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics |
|
Topical term or geographic name as entry element |
Complex Numbers |
|
Topical term or geographic name as entry element |
Euclidean Algorithm |
|
Topical term or geographic name as entry element |
Peano's Axioms |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Linde, Werner |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Books |