This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement. *NEW-Updates and improves coverage throughout the text to reflect the latest trends in the field and make the learning process more effective and efficient. *NEW-Opens coverage with seven chapters on Ordinary Differential Equations offering flexibility for use in either ODE dedicated courses or combined ODE/Linear Algebra courses. *NEW-Incorporates the Maple Computer Algebra System in the form of optional special-interest sections and exercises. *Develops a deep understanding of essential principles as well as hands-on/how-to knowledge of actual practices.
*Serves as an excellent reference tool for both students and practitioners with coverage reaching well beyond Ordinary Differential Equations. *Reflects the authors vast engineering background, making mathematical principles and applications more relevant to future engineers. Physical applications integrated throughout the text include...*Harmonic oscillator systems.<%-16> *Discussion of beats. *Application of rank to stoichiometry and dimensional analysis. *Designs pedagogy with the needs of both instructors and students in mind, combining technical rigor with clarity and accessibility. *Features a wealth of diverse exercise and problem sets to both challenge and reinforce students understanding. *Provides unique Closure features at the end of each section and chapter reviews at the end of each chapter to review and summarize main points. *Includes useful and unique topics often ignored by other texts, including...*Dimensional analysis to minimize parameters and guide plots and experiments. *Introduction to singular integrals. *Application of the mathematical concept of nonlinearity to nerve impulse and visual perception.
*An "omega method" for the derivation of the various space derivatives of base vectors in non-Cartesian coordinate systems.