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Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics)
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CRC 17244
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Clear-cut explanations, numerous drills, illustrative examples.
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What Stands Out
Detalles de producto
- Application-oriented introduction closely relates calculus to science
- In-depth explorations of derivative, differentiation and integration of powers of x
- Theorems on differentiation and antidifferentiation leading to the definition of the chain rule
- Examinations of trigonometric, logarithmic, and exponential functions, techniques of integration, polar coordinates
- Clear-cut explanations, numerous drills, and illustrative examples
- Solution guide available upon request for the 1967 edition
| Publisher | Dover Publications |
| Publication date | June 19, 1998 |
| Edition | Second |
| Language | English |
| Print length | 960 pages |
| ISBN-10 | 9780486404530 |
| ISBN-13 | 978-0486404530 |
| Item Weight | 10.4 ounces (294.84 grams) |
| Dimensions | 6.25 x 1.75 x 9.25 inches (15.9 x 4.4 x 23.5 cm) |
| Part of series | Dover Books on Mathematics |
Who Should Buy?
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Visual Learners
Students who grasp concepts better with visual aids will benefit from the intuitive explanations and physical interpretations.
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Beginner Students
Ideal for those new to calculus, providing foundational knowledge and an approachable entry into complex topics.
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Self-Studying Individuals
Perfect for independent learners seeking to understand calculus without heavy reliance on instructors or traditional methods.
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Advanced Mathematicians
Experienced users may find the content too simplistic and lacking in rigorous mathematical proofs and advanced topics.
DESCRIPCIÓN DEL PRODUCTO
Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics)
Preguntas y respuestas de los clientes
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Pregunta:
What is the main focus of 'Calculus: An Intuitive and Physical Approach' by Morris Kline?
Respuesta: The main focus of 'Calculus: An Intuitive and Physical Approach' is to make calculus accessible by emphasizing concepts over formalism. Kline utilizes physical intuition to explain mathematical principles, ensuring that students grasp the fundamental ideas behind calculus rather than just memorizing procedures. This approach is beneficial for learners who may find traditional methods daunting. For instance, a student studying motion would benefit from Kline's relatable examples that connect calculus concepts with real-world phenomena. -
Pregunta:
Who is the target audience for this calculus textbook?
Respuesta: 'Calculus: An Intuitive and Physical Approach' is ideally designed for undergraduate students and anyone seeking a deeper understanding of calculus concepts. Kline's writing style caters to those who may struggle with textbook-heavy explanations, providing a clearer pathway to learning. This makes it a great resource for self-study or as a supplemental text in calculus courses, especially for students pursuing engineering, physics, or mathematics where a solid grasp of calculus is essential. -
Pregunta:
What are the key benefits of using this book for learning calculus?
Respuesta: One of the key benefits of using Kline's 'Calculus: An Intuitive and Physical Approach' is its practical application of calculus to everyday scenarios, making the material relatable. By focusing on the fundamental principles of calculus in an intuitive manner, learners develop a stronger foundational understanding. Users have reported increased comprehension when visualizing concepts through real-world examples, such as calculating areas, volumes, and rates of change in ordinary activities. -
Pregunta:
Does this book include exercises for practice?
Respuesta: Yes, 'Calculus: An Intuitive and Physical Approach' contains a variety of exercises designed to reinforce the concepts presented in each chapter. These exercises range from basic problems aimed at understanding core principles to more challenging applications that encourage critical thinking. Attempting these exercises can help students solidify their grasp on calculus, transforming theoretical understanding into practical problem-solving skills, beneficial for exams or real-life applications in science and engineering. -
Pregunta:
How does Kline's approach to calculus differ from traditional textbooks?
Respuesta: Kline's approach distinguishes itself by prioritizing intuition and physical concepts over formal mathematical proofs. Unlike traditional textbooks, which might focus heavily on abstract definitions and theorems, Kline provides insights into why calculus matters in physical terms. This method fosters a deeper appreciation of calculus as a tool to understand changes in nature, evident in disciplines like physics and engineering. Such a perspective can vastly enhance a student’s motivation and interest in pursuing STEM subjects. -
Pregunta:
Is this book suitable for advanced calculus students?
Respuesta: While 'Calculus: An Intuitive and Physical Approach' is primarily geared towards beginners and intermediate learners, it can still be a valuable resource for advanced students seeking to reinforce their foundational understanding. The intuitive explanations and physical interpretations of calculus concepts can provide clarity that even seasoned learners may find useful. Advanced students can benefit from the straightforward discussions as a refreshing contrast to more abstract advanced calculus texts, especially when preparing to teach or explain concepts to others. -
Pregunta:
What editions of this book are available?
Respuesta: The 2nd edition of 'Calculus: An Intuitive and Physical Approach' is widely available and includes updates and revisions for clarity and comprehensiveness. It's important to note that later editions may offer additional exercises or modified examples, providing an enriched learning experience. Students are encouraged to check for the latest edition to access the most modern interpretations and applications of calculus principles ideal for both academic and practical use. -
Pregunta:
Are there supplementary materials associated with this book?
Respuesta: While 'Calculus: An Intuitive and Physical Approach' is primarily a standalone textbook, it may also be accompanied by supplementary materials such as study guides, solutions manuals, or online resources. These additional aids can enhance the learning experience by offering alternative explanations or providing practice problems and solutions that complement the main text. Utilizing these resources can further assist students in mastering calculus concepts and improving their problem-solving abilities. -
Pregunta:
What is the structure of the chapters in this book?
Respuesta: This book features a structured approach where each chapter builds on the last, introducing concepts progressively. Chapters typically begin with intuitive explanations followed by visual aids and examples that illustrate the applications of calculus in the physical world. Each section includes exercises that reinforce the presented material, allowing learners to test their understanding in context. This logical progression ensures that readers develop confidence as they advance through more complex topics, leading to a comprehensive mastery of calculus. -
Pregunta:
Where can I buy 'Calculus: An Intuitive and Physical Approach 2nd Edition' by Morris Kline?
Respuesta: You can purchase 'Calculus: An Intuitive and Physical Approach 2nd Edition' by Morris Kline at Ubuy in Costa Rica. Ubuy offers a wide selection of books and educational materials, providing an easy way to find this popular calculus textbook. Their platform ensures a user-friendly shopping experience, making it convenient to acquire essential academic resources.
Calculus Editorial Review
Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics) presents a comprehensive exploration of calculus, distinguished by its intuitive approach, making complex ideas accessible to those unfamiliar with advanced mathematics. Kline successfully emphasizes understanding through physical applications, which resonates with readers who struggle with traditional memorization. As one reviewer noted, this book shines in explaining differentiation and integration, offering a clear journey through the concepts rather than just mechanics. It's ideal for students needing a refresher or those without a strong math background, although it may not suit those seeking rigorous formalism in mathematics education.
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ventajas
- Intuitive approach aids understanding of complex concepts
- Historical context enriches learning experience
- Suitable for students revisiting calculus after years
- Focus on physical applications enhances relevance
- Covers differentiation and integration effectively
Contras
- May lack rigorous treatment of advanced topics
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CRC 17244
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características y beneficios
- Application-oriented introduction to Calculus
- In-depth explorations of the derivative
- Examinations of trigonometric and exponential functions
- Techniques of integration
- Clear-cut explanations and numerous drills
- 1967 edition with a solution guide available upon request.
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