Mathematics is the language of the universe, and calculus is its most powerful tool. Calculus For Scientists And Engineers: Early Transcendentals is the ultimate guide to understanding this essential mathematical discipline. Written by renowned mathematician James Stewart, this comprehensive textbook provides a clear and concise to the fundamental concepts of calculus, making it an indispensable resource for students in science, engineering, and other technical fields.
Key Features and Benefits
- Comprehensive coverage: Covers all the core concepts of calculus, including limits, derivatives, integrals, and differential equations.
- Early treatment of transcendentals: Introduces trigonometric, exponential, and logarithmic functions early on, allowing students to apply calculus to real-world problems sooner.
- Clear and accessible explanations: Stewart's renowned writing style makes complex mathematical concepts easy to understand.
- Abundant worked examples: Provides step-by-step solutions to a wide range of problems, reinforcing understanding.
- Interactive exercises and technology tools: Includes access to online resources, such as WebAssign and Enhanced WebAssign, for interactive practice and assessment.
Delving into the Content
Calculus For Scientists And Engineers: Early Transcendentals is divided into two main parts: the theory of limits and derivatives, and the theory of integration. The first part covers the fundamental concepts of calculus, including limits, continuity, the derivative, and applications of the derivative. The second part explores the integral, techniques of integration, applications of the integral, and differential equations.
4.4 out of 5
| Language | : | English |
| File size | : | 50239 KB |
| Screen Reader | : | Supported |
| Print length | : | 1344 pages |
Stewart's masterful exposition guides readers through each concept with clarity and precision. He begins by introducing the concept of a limit, which is essential for understanding the behavior of functions as their inputs approach certain values. The derivative is then defined as a measure of the rate of change of a function, and Stewart shows how it can be used to analyze the slopes of curves, determine the maxima and minima of functions, and solve related-rates problems.
The second part of the textbook introduces the integral, which is the inverse operation of the derivative. Stewart explains how integrals can be used to find the area under a curve, calculate volumes of solids of revolution, and solve differential equations. He also covers a variety of integration techniques, such as the method of substitution, integration by parts, and trigonometric substitution.
Additional Features
- Margin notes: Provide additional explanations, historical insights, and connections to other areas of mathematics.
- Chapter summaries: Recap the key concepts and formulas covered in each chapter.
- Review exercises: Offer a variety of problems to test understanding at the end of each chapter.
- Cumulative review exercises: Test students' cumulative knowledge of the material covered throughout the textbook.
- Instructor's solutions manual: Available to instructors for easy grading.
Who Should Read This Book?
Calculus For Scientists And Engineers: Early Transcendentals is an essential textbook for students in science, engineering, mathematics, and other technical fields. It is also a valuable resource for professionals who need to brush up on their calculus skills or learn new techniques.
Calculus is a powerful tool that can be used to model and solve a wide range of real-world problems. Calculus For Scientists And Engineers: Early Transcendentals provides a comprehensive and accessible to this essential mathematical discipline. With its clear explanations, abundant examples, and interactive exercises, this textbook is the ideal resource for students and professionals alike.
