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Textbooks

Featured here are textbooks published by the MAA. Many of these may be used as your primary text (P) or as a supplement (S) for another course you are teaching. Listed below each topic are book suggestions.

Abstract Algebra

Field Theory and Its Classical Problems (S)
Learning Modern Algebra: From early Attempts to Prove Fermat's Last Theorem (P)
Visual Group Theory (S)

Actuarial Science

Mathematical Interest Theory (P)

Calculus

Calculus: An Active Approach with Projects (P)
The Calculus Collection: A Resource for AP* and Beyond (S)
Counterexamples in Calculus (S)
Mathematical Modeling in the Environment (S)
Real Infinite Series (S)

Capstone

Field Theory and Its Classical Problems (P)

College Algebra

Functions, Data, and Models: An Applied Approach to College Algebra (P)

Combinatorics

Combinatorics: A Guided Tour (P)
Combinatorics: A Problem Oriented Approach (S)
Mathematics of Choice: How to Count without Counting (P)
Proofs that Really Count: The Art of Combinatorial Proof (P)

Complex Analysis

Invitation to Complex Analysis (P)

Complex Variables

Complex Numbers & Geometry (S)

Cryptology

Cryptological Mathematics (P)
Elementary Cryptanalysis: A Mathematical Approach (P)

Differential Geometry

Differential Geometry and Its Applications (P)

Fourier Analysis

Fourier Series (P)

Game Theory

Game Theory and Strategy (P)
The Mathematics of Games and Gambling (P)

General Education Mathematics

Understanding our Quantitative World (P)

Geometry

Complex Numbers & Geometry (S)
Field Theory and Its Classical Problems (S)
Geometry Revisited (P)

Graph Theory

Graph Theory: A Problem Oriented Approach (P)

Group Theory

Visual Group Theory (S)

History of Mathematics

An Episodic History of Mathematics: Mathematical Culture Through Problem Solving (P)
Field Theory and Its Classical Problems (S)
History of Mathematics: Highways and Byways (P)
Math through the Ages: A Gentle History for Teachers and Others (P)
A Radical Approach to Lebesgue’s Theory of Integration (S)
A Radical Approach to Real Analysis (P, S)

Honors Calculus

Calculus Deconstructed: A Second Course in First-Year Calculus (P, S)

Introduction to Mathematical Modeling

A Course in Mathematical Modeling (P)
Mathematical Modeling in the Environment (P)

Introduction to Topology

First Concepts of Topology: The Geometry of Mappings of Segments, Curves, Circles, and Disks (P)
Topology Now! (P)

Knot Theory

Knot Theory (P)

Liberal Arts Mathematics

Combinatorics: A Problem Oriented Approach (P)
Cryptological Mathematics (P)
Game Theory and Strategy (P)
Graph Theory: A Problem Oriented Approach (P)
Mathematical Connections: A Companion for Teachers and Others (P)
Mathematics of Choice: How to Count without Counting (P)
The Mathematics of Games and Gambling (P)
Number Theory Through Inquiry (P)
Proofs that Really Count: The Art of Combinatorial Proof (P)

Lie Groups

Lie Groups: A Problem-Oriented Introduction via Matrix Groups (P)

Linear Algebra

Lie Groups: A Problem-Oriented Introduction via Matrix Groups (S)
Mathematical Modeling in the Environment (S)

Mathematics for Business Decisions

Mathematics for Business Decisions (with Interdisciplinary Multimedia Projects) (P)

Most Undergraduate Curriculum

Calculus Gems: Brief Lives and Memorable Moments (S)

Number Theory

Cryptological Mathematics (S)
Learning Modern Algebra: From early Attempts to Prove Fermat's Last Theorem (S)
Number Theory Through Inquiry (P)

Ordinary Differential Equations

Ordinary Differential Equations: from Calculus to Dynamical Systems (P)

Partial Differential Equations

Mathematical Interest Theory (S)

Probability

Mathematical Modeling in the Environment (S)
The Mathematics of Games and Gambling (S)

Problem Solving

Combinatorics: A Problem Oriented Approach (P)
Proofs that Really Count: The Art of Combinatorial Proof (P)
Real Infinite Series (S)

Teaching Secondary Mathematics

Mathematical Connections: A Companion for Teachers and Others (P)
Mathematics for Secondary School Teachers (P)

Transition to Proof

Bridge to Abstract Mathematics (P)
Calculus Deconstructed: A Second Course in First-Year Calculus (P, S)
Distilling Ideas: An Introduction to Mathematical Thinking (P)
Lie Groups: A Problem-Oriented Introduction via Matrix Groups (P)
Number Theory Through Inquiry (P)

Real Analysis

Calculus Deconstructed: A Second Course in First-Year Calculus (P, S)
Counterexamples in Calculus (S)
Invitation to Complex Analysis (S)
Mathematical Interest Theory (S)
A Primer of Real Functions (P, S)
A Radical Approach to Lebesgues’ Theory of Integration (S)
A Radical Approach to Real Analysis (P)
Real Infinite Series (S)

2nd Real Analysis Course

A Radical Approach to Lebesgue’s Theory of Integration (P)

Special Topics

Field Theory and Its Classical Problems (P)

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