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Elementarer Übergang zur abstrakten Mathematik, Hardcover von Effinger, Gove; M...-
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eBay-Artikelnr.:355645851289
Artikelmerkmale
- Artikelzustand
- Book Title
- Elementary Transition to Abstract Mathematics
- ISBN
- 9780367336936
- Subject Area
- Mathematics
- Publication Name
- Elementary Transition to Abstract Mathematics
- Publisher
- CRC Press LLC
- Item Length
- 9.5 in
- Subject
- Group Theory, General, Logic, Set Theory, Mathematical Analysis
- Publication Year
- 2019
- Series
- Textbooks in Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.9 in
- Item Weight
- 21 Oz
- Item Width
- 6.4 in
- Number of Pages
- 292 Pages
Über dieses Produkt
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
0367336936
ISBN-13
9780367336936
eBay Product ID (ePID)
15038263330
Product Key Features
Number of Pages
292 Pages
Language
English
Publication Name
Elementary Transition to Abstract Mathematics
Publication Year
2019
Subject
Group Theory, General, Logic, Set Theory, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Series
Textbooks in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
21 Oz
Item Length
9.5 in
Item Width
6.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
2019-019500
TitleLeading
An
Illustrated
Yes
Table Of Content
A Look Back: Precalculus Math A Look Back: Calculus About Proofs and Proof Strategies Mathematical Induction The Well-Ordering Principle Sets Equivalence Relations Functions Cardinality of Sets Permutations Complex Numbers Matrices and Sets with Algebraic Structure Divisibility in Z and Number Theory Primes and Unique Factorization Congruences and the Finite Sets Zn Solving Congruences Fermat's Theorem Diffie-Hellman Key Exchange Euler's Formula and Euler's Theorem RSA Cryptographic System Groups-Definition and Examples Groups-Basic Properties Groups-Subgroups Groups-Cosets Groups-Lagrange's Theorem Rings Subrings and Ideals Integral Domains Fields Vector Spaces Vector Space Properties Subspaces of Vector Spaces Polynomials Polynomials-Unique Factorization Polynomials over the Rational, Real and Complex Numbers Suggested Solutions to Selected Examples and Exercises
Synopsis
This text is intended to help students move from introductory courses to those where rigor and proof play a much greater role. The emphasis is on precise definitions of mathematical objects and rigorous proofs of properties., An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials. Features: The material is presented in many short chapters, so that one concept at a time can be absorbed by the student. Two "looking back" chapters at the outset (pre-calculus and calculus) are designed to start the student's transition by working with familiar concepts. Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns. A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student.
LC Classification Number
QA9.E375 2020
Artikelbeschreibung des Verkäufers
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