A Transition to Advanced Mathematics: A Survey Course

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
ISBN
9780195310764
Categoría

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Product Identifiers

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

Product Key Features

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

Dimensions

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

Additional Product Features

Intended Audience
College Audience
LCCN
2009-009644
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
Dewey Edition
22
TitleLeading
A
Illustrated
Yes
Dewey Decimal
510
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
Synopsis
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., 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 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, as well as almost 3,000 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., A Transition to Advanced Mathematics promotes the goals of a ''bridge'' course in mathematics, helping to lead students from courses in the calculus sequence to theoretical upper-level mathematics courses. The text simultaneously promotes the goals of a ''survey'' course, describing the intriguing questions and insights fundamental to many diverse areas of mathematics., 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.
LC Classification Number
QA37.3.J65 2009

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