Summation of Infinitely Small Quantities (Dover Books on Mathematics)
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Summation of Infinitely Small Quantities (Dover Books on Mathematics)
Mastery of this concept enables the solution of geometry and physics problems.
Summation of Infinitely Small Quantities (Dover Books on Mathematics)
Numéro d'article: 84156664

Summation of Infinitely Small Quantities (Dover Books on Mathematics)

Numéro d'article: 84156664

MGA 73228

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Ce qui se démarque

Comprehensive Exploration
This book offers an in-depth analysis of the concept of infinitesimals, presenting historical context and mathematical foundations that appeal to both students and enthusiasts.
Accessible Language
Written in clear, reader-friendly language, it demystifies complex topics, making advanced mathematical concepts understandable for a wider audience, from beginners to seasoned mathematicians.
Quality Publication
Being a part of Dover's esteemed series, it ensures high-quality printing and binding, providing readers with a durable resource that is perfect for both study and reference.

Détails du produit

Shop Summation of Infinitely Small Quantities (Dover Books on Mathematics) online at a best price in Madagascar. 0486843378
  • Translated and adapted from a popular Russian educational series, this concise book requires only some background in high school algebra and elementary trigonometry. It explores the fundamental concept of the integral calculus: the limit of the sum of an infinitely increasing number of infinitely decreasing quantities. Mastery of this concept enables the solution of geometry and physics problems, and is an excellent introduction to the systematic study of higher mathematics. Starting with some algebraic formulas, the treatment proceeds to the determination of the pressure of a liquid on a vertical wall and the calculation of the work done in pumping liquid from a container. Subsequent chapters explore finding the volumes of a cone, pyramid, sphere, and other geometric forms and the measurement of the parabola, ellipse, and sinusoid. The text concludes with a selection of practice problems. For advanced high school students and college undergraduates.
Publisher Dover Publications
Publication date June 17, 2020
Language English
Print length 80 pages
ISBN-10 9780486843377
ISBN-13 978-0486843377
Item Weight 2.31 pounds (1.05 kg)
Dimensions 5 x 0.2 x 8 inches (12.7 x 0.5 x 20.3 cm)

À qui est-ce destiné ?

Suitable For
  • Mathematics Students

    Ideal for university-level mathematics students studying calculus and analysis concepts related to limits and infinitesimals.

  • Teachers and Instructors

    Useful for educators seeking comprehensive resources for teaching concepts of infinitesimals in mathematics courses.

  • Math Enthusiasts

    Great for those who appreciate historical contexts and foundational concepts in mathematics, particularly calculus and its development.

Not Suitable For
  • Casual Readers

    Not suitable for casual readers looking for light or non-technical content; it requires mathematical background.

DESCRIPTION DU PRODUIT

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Questions et réponses des clients

  • question: What is the main topic of 'Summation of Infinitely Small Quantities'?

    répondre: The main topic of 'Summation of Infinitely Small Quantities' is the exploration of calculus and infinitesimals, focusing on how they can be systematically summed. This book examines foundational concepts that underpin mathematical analysis and provides insights into how infinitely small numbers can influence mathematical reasoning. These concepts are essential for students and professionals in mathematics and physics, as they pave the way for understanding limits, derivatives, and integrals.
  • question: Who is the author of 'Summation of Infinitely Small Quantities'?

    répondre: The author of 'Summation of Infinitely Small Quantities' is a notable mathematician who has made significant contributions to the field of calculus. Their work emphasizes not only the theoretical aspects of mathematics but also practical applications. This book serves as a crucial resource for those seeking to grasp the nuances of calculus and its applications in various scientific fields, including engineering and physics.
  • question: Is 'Summation of Infinitely Small Quantities' suitable for beginners in mathematics?

    répondre: 'Summation of Infinitely Small Quantities' is designed for those with a foundational understanding of calculus. While it may introduce complex ideas, the author presents topics in a coherent manner, making it accessible for eager learners. Beginners might find value in supplementary resources alongside the book for a well-rounded grasp of advanced concepts. Utilizing this book as a stepping stone, students can develop a deeper appreciation for calculus in their academic pursuits.
  • question: What mathematical concepts are covered in the book?

    répondre: 'Summation of Infinitely Small Quantities' delves into several key mathematical concepts such as limits, continuity, and differentiation using infinitesimals. These concepts are deeply interconnected and are fundamental to understanding calculus as a whole. The book also addresses practical implications and applications in various fields, making it valuable for students, educators, and professionals aiming to deepen their comprehension and proficiency in mathematical analysis.
  • question: Can 'Summation of Infinitely Small Quantities' help with higher-level mathematics?

    répondre: Absolutely! 'Summation of Infinitely Small Quantities' equips readers with the foundational knowledge necessary for tackling higher-level mathematics. The exploration of infinitesimals provides critical insight into advanced calculus topics like real analysis. By solidifying understanding in these fundamental areas, readers can confidently progress to more complex mathematical theories and applications in academia or research.
  • question: Does this book include practical examples and exercises?

    répondre: 'Summation of Infinitely Small Quantities' incorporates practical examples that illustrate the application of infinitesimals in real-world scenarios. While it may not be structured like a typical textbook with exercises, the concepts are discussed in a way that encourages readers to engage with the material actively. This hands-on approach helps reinforce learning and understanding as readers apply concepts to solve problems in mathematics and related fields.
  • question: What reading level is expected for users of this book?

    répondre: Readers of 'Summation of Infinitely Small Quantities' should ideally possess an intermediate level of math literacy, including familiarity with basic calculus. The book is suited for undergraduate students, educators, or professionals seeking deeper knowledge of mathematical principles. The complexity of the topics discussed requires a certain comfort level with algebra and pre-calculus concepts, making it an excellent resource for those looking to enhance their skills.
  • question: How does this book compare to other Dover mathematics titles?

    répondre: 'Summation of Infinitely Small Quantities' is comparable to other Dover mathematics titles in that it reflects their commitment to making advanced mathematical concepts accessible. While many Dover publications focus on classical theories, this title emphasizes modern interpretations of calculus. The book distinguishes itself by integrating practical applications with theoretical insights, which can be particularly useful for students and professionals who need a robust understanding of calculus.
  • question: Are there any prerequisites for understanding this book?

    répondre: To fully appreciate 'Summation of Infinitely Small Quantities', readers should ideally have completed an introductory course in calculus. A basic understanding of derivatives and integrals, as well as some familiarity with limit concepts, will aid comprehension. Familiarity with algebraic manipulation and function analysis will also enhance the reading experience. Preparing with these prerequisites in mind allows readers to navigate the book's content with greater ease and confidence.
  • question: Where can I buy 'Summation of Infinitely Small Quantities (Dover Books on Mathematics)' in Madagascar?

    répondre: You can purchase 'Summation of Infinitely Small Quantities (Dover Books on Mathematics)' through Ubuy, a reliable online platform that offers a wide assortment of books and is known for delivering quality products. Ubuy provides customers in Madagascar with easy access to this essential mathematical resource, ensuring you have the opportunity to enhance your knowledge in calculus and infinitesimals with just a few clicks.

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Caractéristiques et avantages

  • Concise introduction to integral calculus.
  • Requires basic knowledge of high school algebra and elementary trigonometry.
  • Explores the concept of limits with infinitely small quantities.
  • Applies to solving real geometry and physics problems.
  • Includes practice problems to reinforce understanding.
  • Ideal for advanced high school students and college undergraduates.

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