CART

(0) items

A Transition to Advanced Mathematics,9780495562023
This item qualifies for
FREE SHIPPING!
FREE SHIPPING OVER $59!

Your order must be $59 or more, you must select US Postal Service Shipping as your shipping preference, and the "Group my items into as few shipments as possible" option when you place your order.

Bulk sales, PO's, Marketplace Items, eBooks, Apparel, and DVDs not included.

A Transition to Advanced Mathematics

by ; ;
Edition:
7th
ISBN13:

9780495562023

ISBN10:
0495562025
Format:
Hardcover
Pub. Date:
6/1/2010
Publisher(s):
Brooks Cole
List Price: $287.33

eTextbook

Downloadable Offline Access
  • Apple Devices
  • Android Devices
  • Windows Devices
  • Mac Devices

 
Duration
Price
$86.99

Rent Textbook

We're Sorry
Sold Out

Used Textbook

We're Sorry
Sold Out

New Textbook

We're Sorry
Sold Out

More New and Used
from Private Sellers
Starting at $82.39

Questions About This Book?

What version or edition is this?
This is the 7th edition with a publication date of 6/1/2010.
What is included with this book?
  • The eBook copy of this book is not guaranteed to include any supplemental materials. Typically only the book itself is included.

Related Products


  • A Transition to Advanced Mathematics
    A Transition to Advanced Mathematics
  • A Transition to Advanced Mathematics, 7th Edition
    A Transition to Advanced Mathematics, 7th Edition
  • A Transition to Advanced Mathematics
    A Transition to Advanced Mathematics
  • A Transition to Advanced Mathematics
    A Transition to Advanced Mathematics
  • A Transition To Advanced Mathematics
    A Transition To Advanced Mathematics





Summary

A TRANSITION TO ADVANCED MATHEMATICS helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful book of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides users to think and express themselves mathematically—to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors place continuous emphasis throughout on improving users' ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. Students will come away with a solid intuition for the types of mathematical reasoning they'll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems.

Table of Contents

Logic And Proofs
Propositions and Connectives
Conditionals and Biconditionals
Quantifiers
Basic Proof Methods I
Basic Proof Methods II
Proofs Involving Quantifiers
Additional Examples of Proofs
Set Theory
Basic Notions of Set Theory
Set Operations
Extended Set Operations and Indexed Families of Sets
Induction
Equivalent Forms of Induction
Principles of Counting
Relations And Partitions
Relations
Equivalence Relations
Partitions
Ordering Relations
Graphs
Functions
Functions as Relations
Constructions of Functions
Functions That Are Onto
One-to-One Functions
One-to-One Correspondences and Inverse Functions
Images of Sets.
Sequences
Cardinality
Equivalent Sets
Finite Sets
Infinite Sets
Countable Sets
The Ordering of Cardinal Numbers
Comparability of Cardinal Numbers and the Axiom of Choice
Concepts Of Algebra: Groups
Algebraic Structures
Groups
Subgroups
Operation Preserving Maps
Rings and Fields
Concepts Of Analysis: Completeness Of The Real Numbers
Ordered Field Properties of the Real Numbers
The Heine-Borel Theorem
The Bolzano-Weierstrass Theorem
The Bounded Monotone Sequence Theorem
Comparability of Cardinals and the Axiom of Choice
Table of Contents provided by Publisher. All Rights Reserved.


Please wait while the item is added to your cart...