MARC details
| 000 -LEADER |
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| fixed length control field |
02813cam a22002775i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
137495 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20170403154722.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
141224s2015 nyu 000 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319144269 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.7 |
| Edition number |
23 |
| Item number |
M655 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Millman, Richard. |
| 245 10 - TITLE STATEMENT |
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| Title |
Problems and proofs in numbers and algebra / |
| Statement of responsibility, etc |
Richard Millman. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Cham : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2015. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
x, 223 pages ; |
| Dimensions |
24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
I. The Integers <br/>1. Number Concepts, Prime Numbers, and the Division Algorithm <br/>2. Greatest Common Divisors, Diophantine Equations, and Combinatorics <br/>3. Equivalence Classes with Applications to Clock Arithmetics and Fractions <br/>II. The Algebra of Polynomials and Linear Systems <br/>4. Polynomials and the Division Algorithm <br/>5. Factoring Polynomials, Their Roots, and Some Applications 6. Matrices and Systems of Linear Equations. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Designed to facilitate the transition from undergraduate calculus and differential equations to learning about proofs, this book helps students develop the rigorous mathematical reasoning needed for advanced courses in analysis, abstract algebra, and more. Students will focus on both how to prove theorems and solve problem sets in-depth; that is, where multiple steps are needed to prove or solve. This proof technique is developed by examining two specific content themes and their applications in-depth: number theory and algebra. This choice of content themes enables students to develop an understanding of proof technique in the context of topics with which they are already familiar, as well as reinforcing natural and conceptual understandings of mathematical methods and styles. The key to the text is its interesting and intriguing problems, exercises, theorems, and proofs, showing how students will transition from the usual, more routine calculus to abstraction while also learning how to prove or solve complex problems. This method of instruction is augmented by examining applications of number theory in systems such as RSA cryptography, Universal Product Code (UPC), and International Standard Book Number (ISBN). The numerous problems and examples included in each section reward curiosity and insightfulness over more simplistic approaches. Each problem set begins with a few easy problems, progressing to problems or proofs with multi-step solutions. Exercises in the text stay close to the examples of the section, allowing students the immediate opportunity to practice developing techniques. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Number theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Proof theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebra. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Shiue, Peter J., |
| Relator term |
author |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Kahn, Eric Brendan, |
| Relator term |
author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
