Softcover ISBN:  9781470469887 
Product Code:  CLRM/69 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470472146 
Product Code:  CLRM/69.E 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
Softcover ISBN:  9781470469887 
eBook: ISBN:  9781470472146 
Product Code:  CLRM/69.B 
List Price:  $130.00 $97.50 
MAA Member Price:  $97.50 $73.13 
AMS Member Price:  $97.50 $73.13 
Softcover ISBN:  9781470469887 
Product Code:  CLRM/69 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470472146 
Product Code:  CLRM/69.E 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
Softcover ISBN:  9781470469887 
eBook ISBN:  9781470472146 
Product Code:  CLRM/69.B 
List Price:  $130.00 $97.50 
MAA Member Price:  $97.50 $73.13 
AMS Member Price:  $97.50 $73.13 

Book DetailsClassroom Resource MaterialsVolume: 69; 2022; 242 ppMSC: Primary 97
Exploring Mathematics with CAS Assistance is designed as a textbook for an innovative mathematics major course in using a computeralgebra system (CAS) to investigate, explore, and apply mathematical ideas and techniques in problem solving. The book is designed modularly with student investigations and projects in number theory, geometry, algebra, singlevariable calculus, and probability. The goal is to provoke an inquiry mindset in students and to arm them with the CAS tools to investigate lowentry, openended questions in a variety of mathematical arenas. Because of the modular design, the individual chapters could also be used selectively to design student projects in a number of upperdivision mathematics courses. These projects could, in fact, lead into undergraduate research projects. The existence of powerful computeralgebra systems has changed the way mathematicians perform research; this book enables instructors to put some of those new methods and approaches into their undergraduate instruction.
Prerequisites include a basic working knowledge of discrete mathematics and singlevariable calculus. Programming experience and some basic familiarity with elementary probability and statistics are beneficial but not required. The book takes a softwareagnostic approach and emphasizes algorithmic structure of solution methods by systematically providing their stepbystep verbal descriptions or suitable pseudocode that can be implemented in any CAS.
Six lab templates are available for Part II: Calculus and Numerics, in two formats: PDF and as a Jupyter Notebook (JN). Follow link below.
Ancillaries:
ReadershipUndergraduate students interested in using computing for mathematical insight.

Table of Contents

Part 1 Algebra & Geometry

Computer algebra systems and elements of algorithmics

Topics in classical geometry

More topics in classical geometry

Topics in elementary number theory

Topics in algebra: Solving univariate algebraic equations

Topics in algebra: Bivariate systems of polynomial equations

Part 2 Calculus and numerics

Derivatives

Definite integrals

Approximating zeros of functions by iteration methods

Polynomial approximations

Trigonometric approximation

Fourier analysis in music and signal processing

Part 3 Probability and statistics

Probability and statistics basics

Computer simulation of statistical sampling

Simple random walks


Additional Material

Reviews

This books was designed...as a textbook for an innovative course to familiarize potential mathematics majors with the advantages of a computeralgebra system (CAS) in exploring mathematical topics. ... There are more than 100 exercises, 16 "miniprojects," and 20 labs, more than enough for a single semester.
Mathematics Magazine


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Exploring Mathematics with CAS Assistance is designed as a textbook for an innovative mathematics major course in using a computeralgebra system (CAS) to investigate, explore, and apply mathematical ideas and techniques in problem solving. The book is designed modularly with student investigations and projects in number theory, geometry, algebra, singlevariable calculus, and probability. The goal is to provoke an inquiry mindset in students and to arm them with the CAS tools to investigate lowentry, openended questions in a variety of mathematical arenas. Because of the modular design, the individual chapters could also be used selectively to design student projects in a number of upperdivision mathematics courses. These projects could, in fact, lead into undergraduate research projects. The existence of powerful computeralgebra systems has changed the way mathematicians perform research; this book enables instructors to put some of those new methods and approaches into their undergraduate instruction.
Prerequisites include a basic working knowledge of discrete mathematics and singlevariable calculus. Programming experience and some basic familiarity with elementary probability and statistics are beneficial but not required. The book takes a softwareagnostic approach and emphasizes algorithmic structure of solution methods by systematically providing their stepbystep verbal descriptions or suitable pseudocode that can be implemented in any CAS.
Six lab templates are available for Part II: Calculus and Numerics, in two formats: PDF and as a Jupyter Notebook (JN). Follow link below.
Ancillaries:
Undergraduate students interested in using computing for mathematical insight.

Part 1 Algebra & Geometry

Computer algebra systems and elements of algorithmics

Topics in classical geometry

More topics in classical geometry

Topics in elementary number theory

Topics in algebra: Solving univariate algebraic equations

Topics in algebra: Bivariate systems of polynomial equations

Part 2 Calculus and numerics

Derivatives

Definite integrals

Approximating zeros of functions by iteration methods

Polynomial approximations

Trigonometric approximation

Fourier analysis in music and signal processing

Part 3 Probability and statistics

Probability and statistics basics

Computer simulation of statistical sampling

Simple random walks

This books was designed...as a textbook for an innovative course to familiarize potential mathematics majors with the advantages of a computeralgebra system (CAS) in exploring mathematical topics. ... There are more than 100 exercises, 16 "miniprojects," and 20 labs, more than enough for a single semester.
Mathematics Magazine