Excursions In Modern Mathematics, Books A La Carte Edition by Peter Tannenbaum

Excursions In Modern Mathematics, Books A La Carte Edition

byPeter Tannenbaum

Loose Leaf | January 1, 2017

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NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab™ or Mastering™, several versions may exist for each title — including customized versions for individual schools — and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products.


For courses in Liberal Arts Mathematics.

 

Math: Applicable, Accessible, Modern

Excursions in Modern Mathematics  introduces readers to the power and beauty of math. By developing an appreciation for the aesthetics and applicability of mathematics, readers who previously felt math was an “unknowable” subject can approach it with a new perspective. Contemporary topics ranging from elections, to networks, to analyzing data show readers that math is an accessible tool that can be applicable and interesting for anyone. Refinement and updating of examples and exercises, plus increased resources, makes the 9th Edition a relevant, accessible, and complete program.

 

Also available with MyLab Math.

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.


NOTE: You are purchasing a standalone product; MyLab Math does not come packaged with this content. If you would like to purchase both the physical text and MyLab Math, search for:

 

0134453158 / 9780134453156   Excursions in Modern Mathematics, Books a la Carte Edition plus MyLab Math-- Access Card Package

Package consists of:

  • 0134469046 / 9780134469041 Excursions in Modern Mathematics, Books a la Carte Edition
  • 0321262522 / 9780321262523 MyLab Math -- Valuepack Access Card

Details & Specs

Title:Excursions In Modern Mathematics, Books A La Carte EditionFormat:Loose LeafDimensions:600 pages, 10.7 × 8.3 × 0.7 inPublished:January 1, 2017Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0134469046

ISBN - 13:9780134469041

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Extra Content

Table of Contents

1 The Mathematics of Elections

1.1 The Basic Elements of an Election

1.2 The Plurality Method

1.3 The Borda Count Method

1.4 The Plurality-with-Elimination Method

1.5 The Method of Pairwise Comparisons

1.6 Fairness Criteria and Arrow’s Impossibility Theorem


2 The Mathematics of Power

2.1 An Introduction to Weighted Voting

2.2 Banzhaf Power

2.3 Shapley-Shubik Power

2.4 Subsets and Permutations


3 The Mathematics of Sharing

3.1 Fair-Division Games

3.2 The Divider-Chooser Method

3.3 The Lone-Divider Method

3.4 The Lone-Chooser Method

3.5 The Method of Sealed Bids

3.6 The Method of Markers


4 The Mathematics of Apportionment

4.1 Apportionment Problems and Apportionment Methods

4.2 Hamilton’s Method

4.3 Jefferson’s Method

4.4 Adams’s and Webster’s Methods

4.5 The Huntington-Hill Method

4.6 The Quota Rule and Apportionment Paradoxes


5 The Mathematics of Getting Around

5.1 Street-Routing Problems

5.2 An Introduction to Graphs

5.3 Euler’s Theorems and Fleury’s Algorithm

5.4 Eulerizing and Semi-Eulerizing Graphs


6 The Mathematics of Touring

6.1 What Is a Traveling Salesman Problem?

6.2 Hamilton Paths and Circuits

6.3 The Brute-Force Algorithm

6.4 The Nearest-Neighbor and Repetitive Nearest-Neighbor Algorithms

6.5 The Cheapest-Link Algorithm

 

7 The Mathematics of Networks

7.1 Networks and Trees

7.2 Spanning Trees, MSTs, and MaxSTs

7.3 Kruskal’s Algorithm


8 The Mathematics of Scheduling

8.1 An Introduction to Scheduling

8.2 Directed Graphs

8.3 Priority-List Scheduling

8.4 The Decreasing-Time Algorithm

8.5 Critical Paths and the Critical-Path Algorithm


9 Population Growth Models

9.1 Sequences and Population Sequences

9.2 The Linear Growth Model

9.3 The Exponential Growth Model

9.4 The Logistic Growth Model


10 Financial Mathematics

10.1 Percentages

10.2 Simple Interest

10.3 Compound Interest

10.4 Retirement Savings

10.5 Consumer Debt


11 The Mathematics of Symmetry

11.1 Rigid Motions

11.2 Reflections

11.3 Rotations

11.4 Translations

11.5 Glide Reflections

11.6 Symmetries and Symmetry Types

11.7 Patterns


12 Fractal Geometry

12.1 The Koch Snowflake and Self-Similarity

12.2 The Sierpinski Gasket and the Chaos Game

12.3 The Twisted Sierpinski Gasket

12.4 The Mandelbrot Set


13 Fibonacci Numbers and the Golden Ratio

13.1 Fibonacci Numbers

13.2 The Golden Ratio

13.3 Gnomons

13.4 Spiral Growth in Nature


14 Censuses, Surveys, Polls, and Studies

14.1 Enumeration

14.2 Measurement

14.3 Cause and Effect


15 Graphs, Charts, and Numbers

15.1 Graphs and Charts

15.2 Means, Medians, and Percentiles

15.3 Ranges and Standard Deviations


16 Probabilities, Odds, and Expectations

16.1 Sample Spaces and Events

16.2 The Multiplication Rule, Permutations, and Combinations

16.3 Probabilities and Odds

16.4 Expectations

16.5 Measuring Risk

 

17 The Mathematics of Normality

17.1 Approximately Normal Data Sets

17.2 Normal Curves and Normal Distributions

17.3 Modeling Approximately Normal Distributions

17.4 Normality in Random Events

 

Answers to Selected Exercises

Index

Photo Credits