Excerpt from A Course in Mathematics
The subject of integration of functions of a single variable is treated in the first eight chapters. Emphasis is here laid upon the fundamental processes, and the conception of the definite integral and its numerous applications are early introduced. Only after the student is well grounded in these matters are the more special methods of evaluating integrals discussed. In this way the student's interest is early aroused in the use of the subject, and he is drilled in those processes which occur in subsequent practice. A new feature of this part of the book is a chapter on simple differential equations in close connection with integration and long before the formal study of differential equations.
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Paperback. Zustand: New. Print on Demand. This book is a comprehensive guide to the principles and applications of mathematics, spanning from the foundations of calculus to more advanced topics like functions of several variables, multiple integrals, differential equations, and series. The author meticulously guides the reader through the intricacies of infinitesimals, differentials, and definite integrals, emphasizing the fundamental processes and their practical applications in geometry, mechanics, and other fields. Emerging during a pivotal era in the evolution of mathematics, this book reflects the growing need for a systematic and accessible presentation of mathematical concepts for students and professionals alike. It delves into the theoretical underpinnings of calculus while showcasing its utility in solving real-world problems, bridging the gap between abstract theory and concrete applications. The text explores the rich interplay between different branches of mathematics, demonstrating how seemingly disparate concepts converge to provide powerful tools for analysis and problem-solving. Through clear explanations, detailed examples, and thought-provoking problems, the book invites readers to engage deeply with the material and develop a profound appreciation for the elegance and power of mathematics. Ultimately, this book serves as a testament to the enduring relevance of mathematics as a language for understanding the world around us, offering insights that continue to shape our scientific, technological, and intellectual landscape. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330584385_0
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Paperback. Zustand: Brand New. 428 pages. 9.02x5.98x0.87 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1330584384
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