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Differential and Integral Calculus - Theory and Cases is a complete textbook designed to cover basic calculus at introductory college and undergraduate levels. Chapters provide information about calculus fundamentals and concepts including real numbers, series, functions, limits, continuity, differentiation, antidifferentiation (integration) and sequences. Readers will find a concise and clear study of calculus topics, giving them a solid foundation of mathematical analysis using calculus. The knowledge and concepts presented in this book will equip students with the knowledge to immediately practice the learned calculus theory in practical situations encountered at advanced levels. Key Features: - Complete coverage of basic calculus, including differentiation and integration - Easy to read presentation suitable for students - Information about functions and maps - Case studies and exercises for practical learning, with solutions - References for further reading
Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations.This textbook covers the fundamental requirements of vector calculus in curricula for college students in mathematics and engineering programs. Chapters start from the basics of vector algebra, real valued functions, different forms of integrals, geometric algebra and the various theorems relevant to vector calculus and differential forms.Readers will find a concise and clear study of vector calculus, along with several examples, exercises, and a case study in each chapter. The solutions to the exercises are also included at the end of the book.This is an ideal book for students with a basic background in mathematics who wish to learn about advanced calculus as part of their college curriculum and equip themselves with the knowledge to apply theoretical concepts in practical situations.
Éste libro fue escrito de una manera simple y practica de implementar que le permiten al lector reflexionar en los pequeños arreglos que siempre se dejan para mañana, pero que a la larga hacen que su descuido le causen gastos grandes que si se hubieran identificado a tiempo se hubieran podido evitar. Y es ésta simpleza que hace al libro fácil y placentero de leer. También su autor identifica pequeños hábitos que nos pueden causar grandes gastos en nuestra vida, y sus sugerencias nos hacen reflexionar en cómo corregir estos hábitos para que nos podamos ahorrar mejor nuestro dinero. Y de ésta manera disfrutar de él de un modo más pleno y placentero
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