The Advanced Engineering Mathematics eBook by Maplesoft is a comprehensive digital resource that integrates with Maple software to teach applied mathematics for engineering students. It covers a broad range of topics including ordinary differential equations, linear algebra, Fourier analysis, complex analysis, numerical methods, optimization, and statistics. The eBook is organized into independent parts and chapters, each accompanied by Maple worksheets that combine explanatory text with interactive computations and visualizations. This integration allows students to explore mathematical concepts dynamically, perform symbolic and numeric calculations, and visualize results directly within the learning environment. The material is designed to be flexible for instructors and accessible for students, emphasizing simplicity, modularity, and modern notation. It includes thousands of exercises, solutions manuals, and supports a computer-aided learning approach where Maple is a tool of first recourse rather than an add-on.

Key Features

Comprehensive Topic Coverage Covers essential engineering mathematics topics: ODEs, linear algebra, Fourier analysis, PDEs, complex analysis, numerical analysis, optimization, probability, and statistics.

• Organized into seven independent parts for flexible course design
• Includes modern applications and examples relevant to engineering

Integration with Maple Software Each section is delivered as a Maple worksheet combining text, formulas, and interactive computations.

• Allows symbolic and numeric problem solving within the eBook
• Enables visualization and experimentation with mathematical concepts
• Supports syntax-free, point-and-click interaction for ease of use

Extensive Exercise and Solution Resources Contains approximately 7,000 exercises with corresponding student and instructor solution manuals.

• Exercises vary in difficulty and include routine, conceptual, and computer-aided problems
• CAS (computer algebra system) projects and experiments demonstrate Maple’s power

Flexible and Modular Structure Parts and chapters are largely independent, allowing instructors to tailor material to specific course needs.

• Prerequisites are clearly stated where necessary
• Gradual increase in difficulty ensures smooth learning progression

Modern Notation and Teaching Approach Uses contemporary mathematical notation consistent with current textbooks and journals.

• Emphasizes simplicity and clarity in examples
• Designed to prepare students for practical problem-solving in engineering and science

Benefits

Enhanced Learning through Interactivity The integration of Maple worksheets with the eBook promotes active learning by enabling students to manipulate equations, visualize results, and explore alternative solution methods.

• Facilitates deeper understanding beyond static textbook reading
• Encourages experimentation and independent discovery

Improved Teaching Flexibility Instructors can select and adapt chapters or sections independently to fit course objectives and student backgrounds.

• Supports a variety of teaching styles and course formats
• Allows balancing of theoretical and computational content

Bridges Theory and Practical Application The eBook links mathematical theory to real-world engineering problems, demonstrating how to formulate, solve, and interpret applied mathematics models.

• Includes modeling examples from engineering and technology fields
• Prepares students for advanced studies and professional tasks

Reduces Need for Multiple Resources Provides a single, authoritative, and self-contained source for engineering mathematics, minimizing the need for external references or library searches.

• Saves time for students and educators
• Combines textbook content with computational tools in one platform