1. Categories:
  2. Mathematics
A Transition to Advanced Mathematics

A Transition to Advanced Mathematics : A Survey Course

By (author)  , By (author) 

Free delivery worldwide

Available. Dispatched from the UK in 3 business days
When will my order arrive?

Add to basket Add to wishlist

Description

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.show more

Product details

  • Hardback | 768 pages
  • 182.88 x 254 x 43.18mm | 1,496.85g
  • Oxford University Press Inc
  • New York, United States
  • English
  • 77 black and white line illustrations
  • 0195310764
  • 9780195310764
  • 1,949,242

People who bought this also bought

Discrete Mathematics with Applications

Discrete Mathematics with Applications

Hardback

US$335.49

Add to basket
Discrete and Combinatorial Mathematics

Discrete and Combinatorial Mathematics

Paperback

US$239.95

Add to basket
Book of Proof

Book of Proof

Paperback

US$29.71

Add to basket
The Lebesgue Integral
10%
off

The Lebesgue Integral

Hardback

US$53.44  US$60.00

Save US$6.56

Add to basket
Concepts of Programming Languages

Concepts of Programming Languages

Hardback

US$189.13

Add to basket
Linear Algebra and its Applications

Linear Algebra and its Applications

Hardback

US$231.13

Add to basket
Programming and Problem Solving with Ada 95
20%
off

Programming and Problem Solving with Ada 95

Paperback

US$158.89  US$198.95

Save US$40.06

Add to basket
Foldable Flex and Thinned Silicon Multichip Packaging Technology
9%
off

Foldable Flex and Thinned Silicon Multichip Packaging Technology

Hardback

US$225.99  US$249.00

Save US$23.01

Add to basket
Boilerplate Clauses, International Commercial Contracts and the Applicable Law

Boilerplate Clauses, International Commercial Contracts and the Applicable Law

Hardback

US$126.00  US$129.01

Save US$3.01

Add to basket
Flatland

Flatland

Paperback

US$19.08  US$19.99

Save US$0.91

Add to basket
Trust-Region Methods

Trust-Region Methods

Hardback

US$188.06

Add to basket
Meditations on First Philosophy

Meditations on First Philosophy

Paperback

US$9.19

Add to basket
Analysis of Algorithms
8%
off

Analysis of Algorithms

Hardback

US$223.64  US$244.95

Save US$21.31

Add to basket
Foundations and Fundamental Concepts of Mathematics

Foundations and Fundamental Concepts of Mathematics

Paperback

US$18.99

Add to basket
The Heritage of Chinese Civilization

The Heritage of Chinese Civilization

Paperback

US$89.68

Add to basket
Geometry and Symmetry

Geometry and Symmetry

Hardback

US$206.02

Add to basket
Probability and Statistics
8%
off

Probability and Statistics

Hardback

US$90.22  US$99.00

Save US$8.78

Add to basket
Computer Systems
51%
off

Computer Systems

Hardback

US$92.14  US$189.95

Save US$97.81

Add to basket
An Introduction to Numerical Methods and Analysis

An Introduction to Numerical Methods and Analysis

Hardback

US$132.30  US$132.99

Save US$0.69

Add to basket
Introduction to Real Analysis

Introduction to Real Analysis

Paperback

US$136.66

Add to basket

Bestsellers in Mathematics

Mathematical Mindsets

Mathematical Mindsets

Paperback

US$20.30

Add to basket
Think Like a Maths Genius
46%
off

Think Like a Maths Genius

Paperback

US$13.00  US$24.27

Save US$11.27

Add to basket
Storytelling with Data
21%
off

Storytelling with Data

Paperback

US$31.38  US$39.95

Save US$8.57

Add to basket
Visible Learning for Mathematics: Grades K-12

Visible Learning for Mathematics: Grades K-12

Paperback

US$41.99

Add to basket
Practice Operations

Practice Operations

Paperback

US$12.96

Add to basket
Practice Counting

Practice Counting

Paperback

US$14.29

Add to basket
How Not to Be Wrong

How Not to Be Wrong

Hardback

US$31.30

Add to basket
Letts GCSE Success: AQA Maths: Study Guide
38%
off

Letts GCSE Success: AQA Maths: Study Guide

Paperback

US$17.80  US$28.74

Save US$10.94

Add to basket
Mathematical Foundations of Elasticity

Mathematical Foundations of Elasticity

Paperback

US$29.08

Add to basket
Primary Mathematics: Knowledge and Understanding
28%
off

Primary Mathematics: Knowledge and Understanding

Paperback

US$27.27  US$38.00

Save US$10.73

Add to basket
New A-Level Maths for OCR: Year 1 & AS Student Book

New A-Level Maths for OCR: Year 1 & AS Student Book

Mixed media product

US$42.90

Add to basket
Matlab Guide

Matlab Guide

Hardback

US$73.14

Add to basket
Collins New Primary Maths Pupil: Activity Book No. 1A

Collins New Primary Maths Pupil: Activity Book No. 1A

Paperback

US$6.05

Add to basket
Hyperspace
13%
off

Hyperspace

Paperback

US$11.09  US$12.89

Save US$1.80

Add to basket
Nelson Mechanics 2 for Cambridge International A Level

Nelson Mechanics 2 for Cambridge International A Level

Paperback

US$26.10

Add to basket
U Can: Basic Math & Pre-Algebra For Dummies
8%
off

U Can: Basic Math & Pre-Algebra For Dummies

Paperback

US$27.48  US$30.00

Save US$2.52

Add to basket
One Hundred Great Problems of Elementary Mathematics

One Hundred Great Problems of Elementary Mathematics

Paperback

US$18.25

Add to basket
Alan Turing

Alan Turing

Paperback

US$16.75  US$17.39

Save US$0.64

Add to basket
Mathematics & Physics for Programmers

Mathematics & Physics for Programmers

Paperback

US$54.84

Add to basket
A Mind for Numbers

A Mind for Numbers

Paperback

US$17.01

Add to basket
Maths Ages 4-5
20%
off

Maths Ages 4-5

Paperback

US$5.51  US$6.94

Save US$1.43

Add to basket
Cambridge Checkpoint Maths Workbook 1

Cambridge Checkpoint Maths Workbook 1

Paperback

US$11.68

Add to basket
Cambridge Checkpoint Maths Teacher's Resource Book 1: 1

Cambridge Checkpoint Maths Teacher's Resource Book 1: 1

Hardback

US$122.94

Add to basket
How Not to be Wrong

How Not to be Wrong

Paperback

US$12.65  US$12.89

Save US$0.24

Add to basket
Elementary Math Mastery
17%
off

Elementary Math Mastery

Spiral bound

US$114.14  US$138.32

Save US$24.18

Add to basket
Making Number Talks Matter
10%
off

Making Number Talks Matter

Paperback

US$27.41  US$30.67

Save US$3.26

Add to basket
Edexcel AS and A Level Modular Mathematics Core Mathematics 3 C3

Edexcel AS and A Level Modular Mathematics Core Mathematics 3 C3

Mixed media product

US$27.38

Add to basket
Ergodic Theory and Semisimple Groups

Ergodic Theory and Semisimple Groups

Hardback

US$210.81  US$217.01

Save US$6.20

Add to basket
Visual Explanations

Visual Explanations

Hardback

US$59.20

Add to basket
Beautiful Evidence

Beautiful Evidence

Hardback

US$69.12

Add to basket
Math Talk
10%
off

Math Talk

Paperback

US$8.92  US$9.95

Save US$1.03

Add to basket
MCP Mathematics Level A Studen

MCP Mathematics Level A Studen

Hardback

US$19.77  US$19.97

Save US$0.20

Add to basket
MCP Mathematics Level B Studen

MCP Mathematics Level B Studen

Hardback

US$29.57

Add to basket
Advanced Problems in Mathematics

Advanced Problems in Mathematics

Paperback

US$33.98

Add to basket
How to Study for a Mathematics Degree
18%
off

How to Study for a Mathematics Degree

Paperback

US$20.42  US$24.95

Save US$4.53

Add to basket
Mathematics and Physics for Programmers

Mathematics and Physics for Programmers

Mixed media product

US$61.06

Add to basket
Basic Maths For Dummies
8%
off

Basic Maths For Dummies

Paperback

US$20.07  US$21.99

Save US$1.92

Add to basket
Index Theory with Applications to Mathematics and Physics

Index Theory with Applications to Mathematics and Physics

Hardback

US$138.45

Add to basket
Activity Book F

Activity Book F

Paperback

US$5.98

Add to basket
Game Theory, Alive

Game Theory, Alive

Hardback

US$90.26

Add to basket
REVISE Edexcel A2 Mathematics Revision Guide

REVISE Edexcel A2 Mathematics Revision Guide

Mixed media product

US$10.16

Add to basket
Edexcel AS and A Level Modular Mathematics Core Mathematics 4 C4

Edexcel AS and A Level Modular Mathematics Core Mathematics 4 C4

Mixed media product

US$26.67

Add to basket
Introduction to Mathematical Thinking

Introduction to Mathematical Thinking

Paperback

US$13.99

Add to basket
Concept-Based Mathematics

Concept-Based Mathematics

Paperback

US$41.79

Add to basket
The Essentials of High School Math

The Essentials of High School Math

Paperback

US$36.27

Add to basket
How Not to Be Wrong
12%
off

How Not to Be Wrong

Paperback

US$14.92  US$17.00

Save US$2.08

Add to basket
ACT Math and Science Workbook

ACT Math and Science Workbook

Paperback

US$22.08

Add to basket
Fashion, Faith, and Fantasy in the New Physics of the Universe

Fashion, Faith, and Fantasy in the New Physics of the Universe

Hardback

US$30.22

Add to basket
Mathematics Handbook

Mathematics Handbook

Hardback

US$93.20

Add to basket
An Introduction to Identification

An Introduction to Identification

Paperback

US$17.06

Add to basket
  1. Categories:
  2. Mathematics

Review quote

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. Robert Low, Mathematics Todayshow more

About William Johnston

William Johnston is currently the Provost of Randolph-Macon College. He has been teaching mathematics to undergraduates since 1983 Alex M. McAllister is an Associate Professor of Mathematics at Centre College. Over the past fifteen years, Alex has taught mathematics to undergraduates at the University of Notre Dame, Dartmouth College, and Centre College.show more

Table of contents

PREFACE; ANSWERS TO QUESTIONS; ANSWERS TO ODD NUMBERED EXERCISES; INDEX OF ONLINE RESOURCES; BIBLIOGRAPHY; INDEXshow more