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A Transition to Advanced Mathematics: A Survey Course, Johnston & McAllister NEW

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Book Title
A Transition to Advanced Mathematics
ISBN-13
9780195310764
Level
Advanced
Subject
General, Logic
ISBN
9780195310764
Subject Area
Mathematics
Publication Name
Transition to Advanced Mathematics : a Survey Course
Item Length
7.3 in
Publisher
Oxford University Press, Incorporated
Publication Year
2009
Type
Textbook
Format
Hardcover
Language
English
Item Height
1.6 in
Author
Alex Mcallister, William Johnston
Item Width
10 in
Item Weight
51.3 Oz
Number of Pages
768 Pages

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Product Information

A Transition to Advanced Mathematics: A Survey Course promotes the goals of a ''bridge'' course in mathematics, helping to lead students from courses in the calculus sequence (and other courses where they solve problems that involve mathematical calculations) to theoretical upper-level mathematics courses (where they will have to prove theorems and grapple with mathematical abstractions). The text simultaneously promotes the goals of a ''survey'' course, describing the intriguing questions and insights fundamental to many diverse areas of mathematics, including Logic, Abstract Algebra, Number Theory, Real Analysis, Statistics, Graph Theory, and Complex Analysis. The main objective of A Transition to Advanced Mathematics is "to bring about a deep change in the mathematical character of students -- how they think and their fundamental perspectives on the world of mathematics." This text promotes three major mathematical traits in a meaningful, transformative way: to develop an ability to communicate with precise language, to use mathematically sound reasoning, and to ask probing questions about mathematics. In short, we hope that working through A Transition to Advanced Mathematics encourages students to become mathematicians in the fullest sense of the word. A Transition to Advanced Mathematics has a number of distinctive features that enable this transformational experience. Embedded Questions and Reading Questions illustrate and explain fundamental concepts, allowing students to test their understanding of ideas independent of the exercise sets. The text has extensive, diverse Exercises Sets; with an average of 70 exercises at the end of section, A Transition to Advanced Mathematics has almost 3000 distinct exercises. In addition, every chapter includes a section that explores an application of the theoretical ideas being studied. We have also interwoven embedded reflections on the history, culture, and philosophy of mathematics throughout the text.

Product Identifiers

Publisher
Oxford University Press, Incorporated
ISBN-10
0195310764
ISBN-13
9780195310764
eBay Product ID (ePID)
57173193

Product Key Features

Author
Alex Mcallister, William Johnston
Publication Name
Transition to Advanced Mathematics : a Survey Course
Format
Hardcover
Language
English
Subject
General, Logic
Publication Year
2009
Type
Textbook
Subject Area
Mathematics
Number of Pages
768 Pages

Dimensions

Item Length
7.3 in
Item Height
1.6 in
Item Width
10 in
Item Weight
51.3 Oz

Additional Product Features

LCCN
2009-009644
Intended Audience
College Audience
Lc Classification Number
Qa37.3.J65 2009
Reviews
I found the selection of material interesting and stimulating, in both the selection of general topics and the particular items chosen within each topic. It would provide useful background or supplementary reading for a student progressing from A-level to undergraduate study, where the new emphasis on proof and understanding as oppposed to computation can prove something of an obstacle to many., "A readable, comprehensive resource for transitioning to higher mathematical thinking. A valuable feature is the different types of questions and exercises. Professors will benefit from each chapter's optional application section, offering flexibility for teaching purposes."-- Choice, "A readable, comprehensive resource for transitioning to higher mathematical thinking. A valuable feature is the different types of questions and exercises. Professors will benefit from each chapter's optional application section, offering flexibility for teaching purposes."--Choice
Table of Content
Preface1. Mathematical Logic2. Abstract Algebra3. Number Theory4. Real Analysis5. Probability and Statistics6. Graph Theory7. Complex AnalysisAnswers to QuestionsAnswers to Odd Numbered QuestionsIndex of Online ResourcesBibliographyIndex
Copyright Date
2009
Dewey Decimal
510
Dewey Edition
22
Illustrated
Yes

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