Bøger i Textbooks in Mathematics serien

This is an introductory game theory book that quickly moves readers through the fundamental ideas of game theory to enable them to engage in creative modeling projects based on game theoretic concepts.

This textbook offers a rare opportunity to teach Lebesgue integration to undergraduates. Focusing on the real line, the author introduces the topic in an accessible way, thus encouraging students to dig into this mainstay of mathematical analysis earlier than the traditional graduate level course.

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. --

This text is meant to be a hands-on lab manual that can be used in class every day 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 an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way.

This book focuses on mathematical thinking and problem solving, demonstrating how discrete probability, statistics, and elementary discrete mathematics can be applied in games, sports, and gambling situations. The text draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games.

This is the second of a two-part set of books for the undergraduate linear algebra sequence. The text is for more advanced courses taught in mathematics departments. This course is based around matrix theory and focused on the theory of linear algebra. Along with the chapters found in Elementary Linear Algebra, he offers seven additional chapters .

Elementary Linear Algebra is written for the first undergraduate course. The book focuses on the importance of linear algebra in many disciplines such as engineering, economics, statistics, and computer science. The text reinforces critical ideas and lessons of traditional topics.

This second edition is a valuable, up-to-date tool for instructors teaching courses about differential equations. It serves as an excellent introductory textbook for undergraduate students. Tthe textbook will aide them greatly in their professional careers because of its instructions on how to use computers to solve equations.

This book introduces the basic notions of abstract algebra to sophomores and perhaps even junior mathematics majors who have a relatively weak background with conceptual courses. It introduces the material with many concrete examples and establishes a firm foundation for introducing more abstract mathematical notions.

This textbook is for a first undergraduate course in abstract algebra. It differs from the first edition in that it offers optional technology and less focus on interactivity. It has a more traditional approach where additional topics to the primary syllabus are placed after primary topics are covered, creating a more common table of contents. Where technology was the primary motivation of the first edition, this edition is transformed by historical notes and better explanations of why topics are covered.

Graph Theory and its Applications, Third Edition is the latest edition of the bestselling textbook for undergraduate courses in graph theory, yet expansive enough to be used for graduate courses. It takes a comprehensive, accessible approach to graph theory that integrates classical developments with emerging methods, models, and practical needs.

The textbook for Funcational Analysis provides not only solid mathematical foundations for the subject but, with many examples drawing from mechanics and science, motivates an engineering or science student to study the subject, and provides the necessary connections with applications.

This version of the author's DE text will include a new chapter on Linear Boundary Value Problems for instructors who want to add this coverage to their DE course.

This text is meant to be a hands-on lab manual that can be used in class every day 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 an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way.

Strikingly different from typical presentations, Principles of Fourier Analysis provides an introduction to and comprehensive overview of the mathematical theory of Fourier analysis as it is used in applications in engineering, science, and mathematics.

This book covers core computational science concepts and techniques. It shows how to apply a model, select a numerical method, implement computer simulations, and assess the ensuing results. Providing a wealth of MATLAB, Fortran, and C++ code online for download, the second edition includes a new chapter with sections on the finite element method, shallow water waves, and the driven cavity problem. It introduces multiprocessor/multicore computers, parallel MATLAB, and MPI in the chapter on high-performance computing, as well as updates and adds code and documentation.

This is a textbook for an introductory course in analysis, combining topics from a transition course. At some schools, a transition course is combined over one or two semesters to introduce topics from real analysis. This allows students a more gradual approach to the difficult topics of analysis. Beginning with logic and sets, this text gradually raises the sophistication level of students coming out of calculus and proceeds into analysis topics.

Written in clear and concise language, this book covers the standard topics in a second linear algebra course. The book first introduces general fields and emphasizes matrix algebra over finite fields and complex numbers. It then proceeds to cover vector spaces in depth, addressing vector spaces over general fields. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, and spectral theory. Additional material covers dual spaces, quotient spaces, and tensor products. It includes well-designed exercises and full solutions to almost all exercises.

This book provides students with a clear understanding of the utility of MATLAB in complex arithmetic. The book allows professors to quickly find and assign MATLAB programming problems that will strengthen students¿ knowledge of the language and concepts of complex variable theory.

This book delivers a stimulating exposition of modeling and computing, preparing students for higher-level mathematical and analytical thinking. Designed for an undergraduate-level course on ordinary differential equations, the text presents classical ideas and cutting-edge techniques in dynamical systems and other areas, highlighting applications from engineering, physics, and applied science. This version adds coverage of Sturm-Liouville theory and problems, streamlines content for the interests of engineers, enhances examples, and augments the substantial and valuable exercise sets. A solutions manual is available with qualifying course adoption.