Description
Book Synopsis: This classic work, written in a clear and interesting style, with many exercises, offers a thorough and reliable treatment of an important branch of higher analysis. It lends itself well to use in course work; however, because of its consistent clear illustrations of theoretical difficulties, the book is also ideal for self-study.
Since all higher analysis depends on the theory of numbers, Professor Knopp (formerly Professor of Mathematics, University of Tübingen) begins with an introduction to the theory of real numbers, an indispensable foundation for what is to come. This introduction is followed by an extensive account of the theory of sequences and the actual theory of infinite series. The latter is covered in two stages: (1) the classical theory (2) later developments of the 19th century.
Carefully selected exercises have been included throughout, emphasizing applications of the theory, rather than purely theoretical considerations.
Aimed at students already acquainted with the elements of differential and integral calculus, this work grew out of the author's lectures and coursework at the universities of Berlin and Königsberg. This pedagogical background helped him achieve a work of utmost clarity and precision — one that belongs in the library of every serious mathematician or student of higher analysis.
Details
Unlock the power of higher analysis with the Theory and Application of Infinite Series (Dover Books on Mathematics) book. This comprehensive and captivating work is perfect for students and self-study enthusiasts alike. With its clear and engaging style, accompanied by numerous exercises, it provides a reliable foundation for mastering an important branch of mathematics.
Professor Knopp, a former Professor of Mathematics at the esteemed University of Tübingen, takes you on a journey that begins with a solid introduction to the theory of real numbers. This essential foundation sets the stage for a thorough exploration of the theory of sequences and the intricate world of infinite series. By delving into both classical theories and the groundbreaking developments of the 19th century, you'll gain a deep understanding of these fundamental concepts.
This book goes beyond mere theory and places a strong emphasis on practical applications. Carefully selected exercises throughout the text reinforce the relevance of the material and allow you to apply your newfound knowledge in real-world scenarios. Whether you're a student seeking to enhance your understanding of higher analysis or a seasoned mathematician looking to expand your library, this work by Professor Knopp is a must-have.
Take the next step in your mathematical journey and explore the Theory and Application of Infinite Series. Immerse yourself in the captivating world of higher analysis and unlock the key to solving complex mathematical problems. Don't miss this opportunity to enhance your mathematical prowess - start your journey today!
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