Bøger i Textbooks in Mathematics serien

The study of nonlinear optimization is both fundamental and a key course for applied mathematics, operations research, management science, industrial engineering, and economics at most colleges and universities.

"The Shape of Space, Third Edition maintains the standard of excellence set by the previous editions. This lighthearted textbook covers the basic geometry and topology of two- and three-dimensional spaces-stretching students' minds as they learn to visualize new possibilities for the shape of our universe"--

Previous edition: Mathematical groups / Tony Barnard and Hugh Neill (London: Teach Yourself Books, 1996).

Provides an introduction to the basics of modern topology. This work presents the traditional concepts of topological space, open and closed sets, separation axioms, and more, along with applications of the ideas in Morse, manifold, homotopy, and homology theories.

This book provides the traditional role of exercises in a course to provide more-or-less routine applications of the main results, for the student's edification and also as possible material for examinations. It discusses Noetherian rings and prime ideals for algebraic geometry.

This textbook gives students a comprehensive introduction to formal methods and their application in software and hardware specification and verification.

This textbook gives students a comprehensive introduction to formal methods and their application in software and hardware specification and verification.

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.