Böcker av Steven G. (Washington University Krantz

A calculus book must tell the truth.This book is carefully written in the accepted language of mathematics in a readable exposition.It includes useful and fascinating applications, acquaints students with the history of the subject and offers a sense of what mathematics is all about.

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 applicatio

This textbook covers the basics of real analysis for a one- or two-semester course. In a straightforward and concise way, it helps students understand the key ideas and apply the theorems. Each section begins with a boxed introduction that familiarizes students with the upcoming topics and sets the stage for the work to be done. Each chapter generally contains at least 50 exercises that build in difficulty, with an exercise set at the end of every section. This allows students to more easily link the exercises to the material in the section.

Complex Variables: A Physical Approach with Applications, Second Edition offers a notable revision. The emphasis remains on theory and practice. The first part of the text focuses on the fundamental concepts. The author then moves on to a detailed look at how complex variables are used in the real world.

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 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.

This textbook covers the basics of real analysis for a one- or two-semester course. In a straightforward and concise way, it helps students understand the key ideas and apply the theorems. Each section begins with a boxed introduction that familiarizes students with the upcoming topics and sets the stage for the work to be done. Each chapter generally contains at least 50 exercises that build in difficulty, with an exercise set at the end of every section. This allows students to more easily link the exercises to the material in the section.