Elements of the Integral Calculus: With a Key to the Solution of Differential Equations, and a Short Table of Integrals (Classic Reprint) - Softcover

William Elwood Byerly

 
9781330014936: Elements of the Integral Calculus: With a Key to the Solution of Differential Equations, and a Short Table of Integrals (Classic Reprint)

Synopsis

This book is a comprehensive guide to integral calculus, an extension of differential calculus that finds applications in diverse fields like engineering, physics, astronomy, and economics. The author, an experienced mathematician, has taken pains to ensure the text is accessible to students, starting from the very basics. The book begins by establishing the concept of an imaginary, a fundamental idea that extends the number system beyond real numbers to include the square root of negative one. The author then moves on to discuss more advanced topics such as logarithmic functions, trigonometric functions, differentiation, and integration. The treatment of each topic is thorough and accompanied by numerous examples and exercises to aid comprehension. The book also includes a chapter on hyperbolic functions, a family of functions closely related to trigonometric functions. The book's approach emphasizes understanding the concepts behind integral calculus rather than merely memorizing formulas. This approach, coupled with the author's clear explanations and use of real-world examples, makes the book an invaluable resource for students looking to master this essential branch of mathematics.

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