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
Continuing to provide a carefully written, thorough introduction, Graphs & Digraphs, Sixth Edition expertly describes the concepts, theorems, history, and applications of graph theory. Now reo
Author Kenneth B. Howell presents students and instructors with a textbook covering his fundamental approach to ordinary differential mathematical equations. The author has written this textbook with
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 com
The new edition of this popular text is revised to meet the suggestions of users of the previous edition. A readable yet rigorous approach to an essential part of mathematical thinking, this text brid
This book is intended for a one-semester course in discrete mathematics. Such a course is typically taken by mathematics, mathematics education, and computer science majors, usually in their sophomore
This text promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentatio
This text is designed for a one semester Introduction to Analysis course. One main difference is the chapter on set, functions and proofs. This book will be attractive when a Transition to Advanced Ma
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.
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
Written by a highly respected educator, this third edition updates the classic text designed for a first course in differential equations. With an emphasis on modeling, this edition presents a new sec
Author Hugo J. Woerdeman presents students and instructors with a stucent-friendly textbook on the theory of linear algebra. He emphasizes vector spaces over general fields and provides corresponding
Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. This book provides students and practitioners with a practi
A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications. Lauded
Unlike most books of this type, the book has been organized into “lessons” rather than chapters. This has been done to limit the size of the mathematical morsels that students must digest during each
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 stu
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 d
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
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 thi
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 probl
The second edition of this book includes research advancements from the past two decades and additional topics on abstract harmonic analysis. A brief review of Banach algebra theory, Abelian groups, t
