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Mathematics for the Nonmathematician
ZAR 329
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Mathematics is an art, and as such affords the pleasures which all the arts afford. Morris Kline's rare ability to simplify complex subjects for the nonspecialist.
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- Practical, scientific, philosophical, and artistic problems have caused men to investigate mathematics. But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford. In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as Logic and Mathematics, Number: The Fundamental Concept, Parametric Equations and Curvilinear Motion, The Differential Calculus, and The Theory of Probability. Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century. His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.
| Publisher | Dover Books |
| Publication date | January 1, 1985 |
| Language | English |
| Print length | 672 pages |
| ISBN-10 | 9780486248233 |
| ISBN-13 | 978-0486248233 |
| Item Weight | 10.4 ounces (294.84 grams) |
| Dimensions | 5.5 x 1.25 x 8.75 inches (14 x 3.2 x 22.2 cm) |
Who Should Buy?
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General Learners
Perfect for individuals seeking to build foundational math skills without a heavy emphasis on technical jargon.
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Adult Education
Ideal for adults returning to education who need a refresher course in basic mathematical concepts.
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Professionals
Beneficial for professionals in non-math-centric fields who require basic math knowledge for decision-making.
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Advanced Students
Not suitable for students already comfortable with higher-level mathematics looking for advanced theories or applications.
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Mathematics Majors
Inadequate for those pursuing a mathematics degree, as it lacks depth and complexity required for academic rigor.
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Researchers
Ineffective for researchers needing specific, advanced mathematical tools and techniques essential for their specialized fields.
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Pre-Calculus Editorial Review
**Editorial Review of "Mathematics for the Nonmathematician"** "Mathematics for the Nonmathematician" by Morris Kline offers a unique approach to understanding mathematics, especially for those who may feel intimidated by the subject. The book is intended for readers who want to reconnect with mathematics and understand its historical context, making it an intellectually engaging experience. Kline superbly intertwines mathematical concepts with their historical developments, illustrating how these concepts have evolved through time and how they intersect with the cultures that produced them. While some readers have pointed out significant flaws in Kline's treatment of the history of mathematics, particularly his lack of acknowledgment for the contributions of non-Greek civilizations, the book's pedagogical strengths stand out. Kline's narrative captures the essence of mathematics as a living discipline that transcends rote learning. He reframes topics like trigonometry, geometry, and algebra by connecting them to real-life applications and famous mathematicians, allowing readers to appreciate the role of mathematics in humanity’s intellectual advancement. The reader is not just learning to calculate but is invited to marvel at the wonders of math as a tool that has shaped our comprehension of the universe. Both casual readers and those with a serious interest in math can find something compelling in Kline's work. Many have found themselves discussing the book with family members, highlighting its ability to ignite curiosity where there was once indifference. Through accessible explanations and encouraging narratives, Kline manages to transform apprehension into wonder, making this book a recommended read for anyone opposed to traditional math learning methods. **Pros and Cons:** **
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Pros
- Engaging historical context for mathematical concepts
- Accessible and humanized approach to mathematics
- Ability to inspire curiosity and interest in the subject
- Effective integration of practical applications with mathematical theory
- Biographical sketches of influential mathematicians enhance the narrative
Cons
- Initial chapters on history criticized for bias and lack of depth
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Features & Benefits
- Mathematics does not need to be intimidating, enjoyable and beautiful feelings can be found in the subject
- Specific sections on subject areas such as Logic and Mathematics, The Differential Calculus, and The Theory of Probability provide step-by-step explanations of concepts with exercises and problems
- The book can be used by college level, high school, or laymen students for study or self-study














