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Item #:
11117574
Differential and Integral Calculus, Vol. One
86% of respondents would recommend this to a friend
Item #:
11117574
€ 50
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This is one of the most important and influential books on calculus ever written.
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What Stands Out
Comprehensive Coverage
Offers extensive insights into both differential and integral calculus, suitable for beginners and advanced students, making it an invaluable resource for mastering calculus fundamentals.
Clear Explanations
Presents complex concepts in an easily digestible manner, enhancing understanding and retention for readers, thus making advanced mathematical principles more accessible.
Practical Applications
Includes numerous real-life examples and applications, illustrating how calculus is used in various fields, thereby reinforcing the relevance of mathematical theories to everyday problems.
Product Details
- An influential book on calculus, reprinted over twenty times and translated into multiple languages
- Includes Appendix on Infinitesimals by Marvin Jay Greenberg, with recent discoveries on Hyperreals and Nilpotent Infinitesimals
- Appendix also contains a bibliography with up-to-date references to current publications in 2010
- Foreword by a professor of mathematics providing insights into the author's life and thoughts
- Addresses the methodological thread in developing the theory of Fermat reals
- Presents Infinitesimals without mysticism, emphasizing clarity and rigor in understanding
| Publisher | Ishi Press |
| Publication date | June 13, 2010 |
| Language | English |
| Print length | 668 pages |
| ISBN-10 | 4871878384 |
| ISBN-13 | 978-4871878388 |
| Item Weight | 1.85 pounds (840 grams) |
| Dimensions | 5.5 x 1.51 x 8.5 inches (14 x 3.8 x 21.6 cm) |
Who Should Buy?
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Mathematics Students
Ideal for undergraduate students seeking a deep understanding of calculus fundamentals through rigorous explanations and examples.
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Self-learners
Perfect for individuals studying independently who need a comprehensive resource to grasp complex calculus concepts thoroughly.
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Teachers and Tutors
Useful for educators looking for a structured approach to teaching calculus while providing insightful explanations and problems.
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Casual Learners
Not suitable for those seeking a light overview without in-depth technical detail or rigorous proof structures.
Product Description
Differential and Integral Calculus, Vol. One
About This Item
Product Title: Differential and Integral Calculus, Vol. One Are you looking to master the foundations of calculus? Look no further than Differential and Integral Calculus, Vol. One.
This highly influential book is hailed as one of the most important works on calculus ever written. Authored by Richard Courant, a renowned mathematician, this book has been reprinted over twenty times and translated into multiple languages. Its popularity extends even to the Soviet Union, where it has been published and highly regarded. In this volume, Courant delves into both differential and integral calculus, providing a comprehensive understanding of these fundamental concepts.
Whether you're a student, a professional in the fields of engineering or science, or simply someone interested in exploring the world of mathematics, this book is a must-have. One of the highlights of this edition is the inclusion of an appendix on infinitesimals by Marvin Jay Greenberg, an esteemed professor of mathematics. This appendix covers recent discoveries on hyperreals and nilpotent infinitesimals, adding a modern perspective to the timeless theories presented in the book. Courant's approach to calculus emphasizes the balance between intuition and rigor, a topic that has captivated mathematicians for decades. The author's exploration of this antithesis sheds light on the path he followed while developing the theory of Fermat reals. Throughout the book, you will find a wealth of examples, exercises, and applications that will help you grasp the concepts of calculus with ease.
Whether you're looking to deepen your knowledge, prepare for an exam, or simply enjoy the beauty of mathematical exploration, this book has it all. Whether you're interested in learning about limits, derivatives, integration techniques, or mastering advanced calculus, this book covers it all. Its applications extend to various fields, including physics, engineering, business, economics, computer science, finance, data science, machine learning, statistics, biology, and even medicine. Make the most of your calculus journey with Differential and Integral Calculus, Vol. One.
Order your copy today and embark on a transformative mathematical adventure.
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Differential Equations Editorial Review
Differential and Integral Calculus, Vol. One is an essential textbook authored by Richard Courant, published by Ishi Press. This comprehensive guide covers 668 pages of rigorous calculus concepts, making it ideal for serious students looking to deepen their understanding of the subject. Many readers appreciate its thorough approach, particularly noting its suitability for advanced learners. Students using this book alongside their coursework find it invaluable for understanding complex topics through detailed explanations rather than rote memorization. While it’s recognized as a critical reference for mathematicians and engineers, it may prove challenging for calculus beginners. The publication is available in English and is well-structured, reflecting Courant's esteemed academic background.
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Pros
- Thorough explanations enhance understanding of calculus
- Excellent reference for mathematics and engineering
- Challenging book ideal for serious students
- Strong historical context provides depth
- Suitable for advanced learners and graduate students
Cons
- May be too complex for beginners in calculus
Product Price History
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Features & Benefits
- Reprinted over 20 times
- Translated into several languages including Russian
- Includes recent discoveries on Hyperreals and Nilpotent Infinitesimals
- Up-to-date references to current publications in 2010
- Infinitesimals without mysticism, explicit or fogged into unclear logical methods are possible
- Rigor increases understanding
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