### A Bridge to Higher Mathematics

This is an introduction to proofs book for the course offering a transition to more advanced mathematics. It contains logic, sets, functions, relations, the construction of rational, real and complex numbers and their properties. It also has a chapter on cardinality and a chapter on counting…

Paperback – 2016-07-30

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

#### Labs and Projects with Mathematica

This text is meant to be a hands-on lab manual that can be used in class everyday to guide the exploration of the theory and applications of differential and integral calculus. For the most part, labs can be used individually or in a sequence. Each lab consists of and explanation of material with…

Paperback – 2016-07-26

Chapman and Hall/CRC*Textbooks in Mathematics*### A MatLab® Companion to Complex Variables

This supplemental text allows instructors and students to add a MatLab content to a complex variables course. This book seeks to create a bridge between functions of a complex variable and MATLAB. Every math department teaches a course in Complex Variables, often taken by engineering students.…

Paperback – 2016-05-04

CRC Press*Textbooks in Mathematics*### Abstract Algebra

#### An Interactive Approach, Second Edition

The new edition of Abstract Algebra: An Interactive Approach presents a hands-on and traditional approach to learning groups, rings, and fields. It then goes further to offer optional technology use to create opportunities for interactive learning and computer use. This new edition offers a more…

Hardback – 2016-03-01

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

Graphs & Digraphs masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory. Fully updated and thoughtfully reorganized to make reading and…

Hardback – 2015-12-22

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

Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author’s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over…

Hardback – 2015-12-17

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

#### An Introduction to the Fundamentals

Ordinary Differential Equations: An Introduction to the Fundamentals is a rigorous yet remarkably accessible textbook ideal for an introductory course in ordinary differential equations. Providing a useful resource both in and out of the classroom, the text: Employs a unique expository style that…

Hardback – 2015-12-08

CRC Press*Textbooks in Mathematics*### Introduction to Number Theory, 2nd Edition

Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves,…

Hardback – 2015-12-01

Chapman and Hall/CRC*Textbooks in Mathematics*### Applied Abstract Algebra with MapleTM and MATLAB®, Third Edition

Applied Abstract Algebra with MapleTM and MATLAB® provides an in-depth introduction to real-world abstract algebraic problems. This popular textbook covers a variety of topics including block designs, coding theory, cryptography, and counting techniques, including Pólya's and Burnside's theorems.…

Hardback – 2015-11-19

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

#### Models, Methods, and Analysis with MATLAB® and MPI, Second Edition

Computational Mathematics: Models, Methods, and Analysis with MATLAB® and MPI is a unique book covering the concepts and techniques at the core of computational science. The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial…

Hardback – 2015-11-17

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

#### The Games People Play, Second Edition

Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on…

Paperback – 2015-11-02

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

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with…

Hardback – 2015-10-23

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

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

Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher,…

Hardback – 2015-10-16

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

#### Methods and Applications, Second Edition

Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. The book helps to prepare future engineers and assists practicing engineers in understanding the fundamentals of numerical…

Hardback – 2015-09-25

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 – 2015-09-25

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 – 2015-05-07

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 – 2015-04-14

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 – 2014-12-17

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

#### The Primary Course

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 – 2014-12-16

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 – 2014-12-16

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 – 2014-12-12

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 – 2014-12-01

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 – 2014-12-01

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 – 2014-12-01

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 – 2014-11-13

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 – 2014-11-13

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 – 2014-10-20

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 – 2014-09-09

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 – 2014-09-08

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 – 2014-04-10

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 – 2013-12-21

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 – 2013-11-01

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 – 2013-06-24

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 – 2011-06-24

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 – 2010-04-05

Chapman and Hall/CRC*Textbooks in Mathematics*### Applied Functional Analysis, Second Edition

Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text…

Hardback – 2010-03-02

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 – 2009-12-09

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 – 2009-09-21

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 – 2009-07-29

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 – 2009-07-28

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 – 2009-01-12

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 – 2008-08-28

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 – 2007-09-19

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 – 2006-06-21

Chapman and Hall/CRC*Textbooks in Mathematics*### A Concrete Introduction to Real Analysis

Most volumes in analysis plunge students into a challenging new mathematical environment, replete with axioms, powerful abstractions, and an overriding emphasis on formal proofs. This can lead even students with a solid mathematical aptitude to often feel bewildered and discouraged by the…

Hardback – 2006-05-30

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 – 2005-09-22

Chapman and Hall/CRC*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 – 2001-05-18

CRC Press*Textbooks in Mathematics*