### Introduction to Number Theory, 2nd Edition

The authors of this classroom-tested, student-friendly text illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems such as congruences in the ISBN system…

Hardback – 2015-11-04

Chapman and Hall/CRC*Textbooks in Mathematics*### Differential Equations

#### Theory,Technique and Practice with Boundary Value Problems

This version of the primary text (published in 2014) adds a chapter of Sturm Liouville theory and problems to the current manuscript. This coverage creates a Boundary Value Problems version to add this coverage for instructors who look to offer it in the Ordinary Differential Equations course.…

Hardback – 2015-10-25

Chapman and Hall/CRC*Textbooks in Mathematics*### Introduction to Abstract Algebra, Second Edition

Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from…

Hardback – 2015-10-13

Chapman and Hall/CRC*Textbooks in Mathematics*### Mathematics in Games, Sports, and Gambling

#### The Games People Play, Second Edition

This book demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With an emphasis on mathematical thinking and problem solving, the text draws on numerous examples, questions, and problems to explain the application…

Paperback – 2015-10-11

Chapman and Hall/CRC*Textbooks in Mathematics*### Numerical Analysis for Engineers

#### Methods and Applications, Second Edition

Designed for a one-semester undergraduate introduction to numerical methods, this text covers both the theory and practice of numerical methods for mathematics and engineering. With a wealth of exercises, it emphasizes the practical aspects of numerical methods and addresses their advantages and…

Hardback – 2015-10-01

Chapman and Hall/CRC*Textbooks in Mathematics*### A Course in Abstract Harmonic Analysis, Second Edition

A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern…

Hardback – 2015-09-27

Chapman and Hall/CRC*Textbooks in Mathematics*### Advanced Linear Algebra, Second Edition

Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need…

Hardback – 2015-05-06

Chapman and Hall/CRC*Textbooks in Mathematics*### Measure Theory and Fine Properties of Functions, Revised Edition

Measure Theory and Fine Properties of Functions, Revised Edition provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions.…

Hardback – 2015-04-13

Chapman and Hall/CRC*Textbooks in Mathematics*### Introduction to Mathematical Proofs, Second Edition

Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs. Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive…

Hardback – 2014-12-16

Chapman and Hall/CRC*Textbooks in Mathematics*### Applied Differential Equations

#### An Introduction

A Contemporary Approach to Teaching Differential Equations Applied Differential Equations: An Introduction presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the…

Pack - Book & Ebook – 2014-12-15

Chapman and Hall/CRC*Textbooks in Mathematics*### Mathematical Modelling with Case Studies

#### Using Maple and MATLAB, Third Edition

Mathematical Modelling with Case Studies: Using Maple™ and MATLAB®, Third Edition provides students with hands-on modelling skills for a wide variety of problems involving differential equations that describe rates of change. While the book focuses on growth and decay processes, interacting…

Hardback – 2014-12-15

Chapman and Hall/CRC*Textbooks in Mathematics*### Linear Algebra, Geometry and Transformation

The Essentials of a First Linear Algebra Course and More Linear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the…

Pack - Book & Ebook – 2014-12-11

Chapman and Hall/CRC*Textbooks in Mathematics*### Transformational Plane Geometry

Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the…

Hardback – 2014-11-30

Chapman and Hall/CRC*Textbooks in Mathematics*### The Mathematics of Games

#### An Introduction to Probability

The Mathematics of Games: An Introduction to Probability takes an inquiry-based approach to teaching the standard material for an introductory probability course. It also discusses different games and ideas that relate to the law of large numbers, as well as some more mathematical topics not…

Hardback – 2014-11-30

Chapman and Hall/CRC*Textbooks in Mathematics*### Analysis with Ultrasmall Numbers

Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon–delta methods.…

Hardback – 2014-11-30

Chapman and Hall/CRC*Textbooks in Mathematics*### Exploring Linear Algebra

#### Labs and Projects with Mathematica ®

Exploring Linear Algebra: Labs and Projects with Mathematica® is a hands-on lab manual for daily use in the classroom. Each lab includes exercises, theorems, and problems that guide your students on an exploration of linear algebra. The exercises section integrates problems, technology,…

Hardback – 2014-11-12

Chapman and Hall/CRC*Textbooks in Mathematics*### Differential Equations

#### Theory, Technique and Practice, Second Edition

"Krantz is a very prolific writer. He … creates excellent examples and problem sets."—Albert Boggess, Professor and Director of the School of Mathematics and Statistical Sciences, Arizona State University, Tempe, USA Designed for a one- or two-semester undergraduate course, Differential Equations:…

Hardback – 2014-11-12

Chapman and Hall/CRC*Textbooks in Mathematics*### Convex Analysis

Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and…

Paperback – 2014-10-19

Chapman and Hall/CRC*Textbooks in Mathematics*### CounterExamples

#### From Elementary Calculus to the Beginnings of Analysis

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to…

Hardback – 2014-09-08

Chapman and Hall/CRC*Textbooks in Mathematics*### Differential Equations with MATLAB

#### Exploration, Applications, and Theory

A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential…

Hardback – 2014-09-07

Chapman and Hall/CRC*Textbooks in Mathematics*### Introduction to Algebraic Geometry

Unlike other books on algebraic geometry, this text includes applications from various areas of mathematics, biology, and physics. Designed for advanced undergraduate and graduate students with an applied mathematics background, the book develops most of the necessary commutative algebra. It…

Hardback – 2014-08-25

Chapman and Hall/CRC*Textbooks in Mathematics*### Advanced Linear Algebra

Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich…

Hardback – 2014-04-09

Chapman and Hall/CRC*Textbooks in Mathematics*### Abstract Algebra

#### An Inquiry Based Approach

To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how…

Hardback – 2013-12-20

Chapman and Hall/CRC*Textbooks in Mathematics*### Advanced Calculus

#### Theory and Practice

Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students’ problem-solving and proof-writing skills, familiarizes them with the historical…

Hardback – 2013-10-31

Chapman and Hall/CRC*Textbooks in Mathematics*### Real Analysis and Foundations, Third Edition

A Readable yet Rigorous Approach to an Essential Part of Mathematical ThinkingBack by popular demand, Real Analysis and Foundations, Third Edition bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Along…

Hardback – 2013-06-23

Chapman and Hall/CRC*Textbooks in Mathematics*### College Geometry

#### A Unified Development

Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and…

Hardback – 2011-06-23

CRC Press*Textbooks in Mathematics*### Graphs & Digraphs, Fifth Edition

Continuing to provide a carefully written, thorough introduction, Graphs & Digraphs, Fifth Edition expertly describes the concepts, theorems, history, and applications of graph theory. Nearly 50 percent longer than its bestselling predecessor, this edition reorganizes the material and presents…

Hardback – 2010-10-18

Chapman and Hall/CRC*Textbooks in Mathematics*### Advanced Linear Algebra

Advanced Linear Algebra focuses on vector spaces and the maps between them that preserve their structure (linear transformations). It starts with familiar concepts and then slowly builds to deeper results. Along with including many exercises and examples, each section reviews what students need to…

Hardback – 2010-06-22

CRC Press*Textbooks in Mathematics*### Ordinary Differential Equations

#### Applications, Models, and Computing

In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a…

Hardback – 2010-04-04

Chapman and Hall/CRC*Textbooks in Mathematics*### Linear and Nonlinear Programming with Maple

#### An Interactive, Applications-Based Approach

Helps Students Understand Mathematical Programming Principles and Solve Real-World Applications Supplies enough mathematical rigor yet accessible enough for undergraduatesIntegrating a hands-on learning approach, a strong linear algebra focus, Maple™ software, and real-world applications, Linear…

Hardback – 2009-12-08

Chapman and Hall/CRC*Textbooks in Mathematics*### Introduction to Probability with Mathematica, Second Edition

Updated to conform to Mathematica® 7.0, Introduction to Probability with Mathematica®, Second Edition continues to show students how to easily create simulations from templates and solve problems using Mathematica. It provides a real understanding of probabilistic modeling and the analysis of data…

Hardback – 2009-09-20

Chapman and Hall/CRC*Textbooks in Mathematics*### Abstract Algebra

#### An Interactive Approach

By integrating the use of GAP and Mathematica®, Abstract Algebra: An Interactive Approach presents a hands-on approach to learning about groups, rings, and fields. Each chapter includes both GAP and Mathematica commands, corresponding Mathematica notebooks, traditional exercises, and several…

Hardback – 2009-07-28

CRC Press*Textbooks in Mathematics*### Essentials of Topology with Applications

Brings Readers Up to Speed in This Important and Rapidly Growing Area Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology.…

Hardback – 2009-07-27

Chapman and Hall/CRC*Textbooks in Mathematics*### Mathematics in Games, Sports, and Gambling

#### - The Games People Play

With an emphasis on mathematical thinking and problem solving, Mathematics in Games, Sports, and Gambling — The Games People Play shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. It draws on numerous examples,…

Paperback – 2009-07-27

Chapman and Hall/CRC*Textbooks in Mathematics*### Introduction to Mathematical Proofs

#### A Transition

Shows How to Read & Write Mathematical ProofsIdeal Foundation for More Advanced Mathematics Courses Introduction to Mathematical Proofs: A Transition facilitates a smooth transition from courses designed to develop computational skills and problem solving abilities to courses that emphasize…

Hardback – 2009-06-23

Chapman and Hall/CRC*Textbooks in Mathematics*### Mathematical and Experimental Modeling of Physical and Biological Processes

Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering.…

Hardback – 2009-01-11

Chapman and Hall/CRC*Textbooks in Mathematics*### Mathematical Modelling with Case Studies

#### A Differential Equations Approach using Maple and MATLAB, Second Edition

Focusing on growth and decay processes, interacting populations, and heating/cooling problems, Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple™ and MATLAB®, Second Edition presents mathematical techniques applicable to models involving differential equations…

Hardback – 2008-12-17

Chapman and Hall/CRC*Textbooks in Mathematics*### Linear Algebra

#### A First Course with Applications

Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, from inventories to graphics to Google…

Hardback – 2008-08-27

Chapman and Hall/CRC*Textbooks in Mathematics*### Introduction to Abstract Algebra

Taking a slightly different approach from similar texts, Introduction to Abstract Algebra presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It helps students fully understand groups, rings, semigroups, and monoids by rigorously building concepts from…

Hardback – 2008-08-19

Chapman and Hall/CRC*Textbooks in Mathematics*### Introduction to Number Theory

One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to…

Hardback – 2007-10-29

Chapman and Hall/CRC*Textbooks in Mathematics*### Complex Variables

#### A Physical Approach with Applications and MATLAB

From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with…

Hardback – 2007-09-18

Chapman and Hall/CRC*Textbooks in Mathematics*### Applications of Abstract Algebra with Maple and MATLAB, Second Edition

Eliminating the need for heavy number-crunching, sophisticated mathematical software packages open the door to areas like cryptography, coding theory, and combinatorics that are dependent on abstract algebra. Applications of Abstract Algebra with Maple and MATLAB®, Second Edition explores these…

Hardback – 2006-07-11

Chapman and Hall/CRC*Textbooks in Mathematics*### Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition

Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and…

Hardback – 2006-06-20

Chapman and Hall/CRC*Textbooks in Mathematics*### Graph Theory and Its Applications, Second Edition

Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come.The…

Hardback – 2005-09-21

Chapman and Hall/CRC*Textbooks in Mathematics*### Real Analysis and Foundations, Second Edition

Students preparing for courses in real analysis often encounter either very exacting theoretical treatments or books without enough rigor to stimulate an in-depth understanding of the subject. Further complicating this, the field has not changed much over the past 150 years, prompting few authors…

Hardback – 2004-11-14

Chapman and Hall/CRC*Textbooks in Mathematics*### Graphs & Digraphs, Fourth Edition

With a growing range of applications in fields from computer science to chemistry and communications networks, graph theory has enjoyed a rapid increase of interest and widespread recognition as an important area of mathematics. Through more than 20 years of publication, Graphs & Digraphs has…

Hardback – 2004-10-27

Chapman and Hall/CRC*Textbooks in Mathematics*### Computational Mathematics

#### Models, Methods, and Analysis with MATLAB and MPI

Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses…

Hardback – 2003-09-16

Chapman and Hall/CRC*Textbooks in Mathematics*### Mathematical Modelling with Case Studies

#### A Differential Equations Approach using Maple and MATLAB, Second Edition

Certain basic modeling skills can be applied to a wide variety of problems. It focuses on those mathematical techniques which are applicable to models involving differential equations. Models in three different areas are considered: growth and decay process, interacting populations and heating/…

Hardback – 2002-07-24

CRC Press*Textbooks in Mathematics*### Principles of Fourier Analysis

Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward…

Hardback – 2001-05-17

CRC Press*Textbooks in Mathematics*### Introduction to Probability with Mathematica

Newcomers to the world of probability face several potential stumbling blocks. They often struggle with key concepts-sample space, random variable, distribution, and expectation; they must regularly confront integration, infrequently mastered in calculus classes; and they must labor over lengthy,…

Hardback – 2000-11-26

Chapman and Hall/CRC*Textbooks in Mathematics*