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Mathematics for the Nonmathematician
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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.
| Verleger | Dover Books |
| Veröffentlichungsdatum | January 1, 1985 |
| Sprache | Englisch |
| Drucklänge | 672 pages |
| ISBN-10 | 9780486248233 |
| ISBN-13 | 978-0486248233 |
| Artikelgewicht | 10.4 ounces (294.84 grams) |
| Abmessungen | 5.5 x 1.25 x 8.75 inches (14 x 3.2 x 22.2 cm) |
Für wen ist das Produkt geeignet?
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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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Fachleute
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.
PRODUKTBESCHREIBUNG
Kunden Fragen und Antworten
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Frage:
What is 'Mathematics for the Nonmathematician' about?
Antworten: This book is designed to bridge the gap for individuals who may not have a strong mathematical background but are eager to understand mathematical concepts. It covers topics ranging from basic arithmetic to more challenging ideas like calculus and set theory, explained in an approachable manner. This makes it an excellent resource for anyone looking to enhance their mathematical understanding or for students who need support in comprehending their coursework. -
Frage:
Who is the author of 'Mathematics for the Nonmathematician'?
Antworten: 'Mathematics for the Nonmathematician' is authored by Morris Kline, a renowned mathematician and educator. His extensive experience allows him to present mathematical concepts in a relatable and lucid fashion, addressing common misconceptions and anxieties associated with mathematics. This work is particularly great for learners at all levels who may feel intimidated by the subject and wish to boost their confidence. -
Frage:
What topics are covered in the book?
Antworten: The book delves into a wide array of topics including arithmetic, geometry, algebra, probability, and calculus, among others. Each chapter is thoughtfully structured to build upon previous knowledge while introducing new concepts clearly. For example, readers will find engaging applications of mathematics in real-life scenarios, making it especially helpful for practical understanding and contextual learning. -
Frage:
Is this book suitable for self-study?
Antworten: Absolutely! 'Mathematics for the Nonmathematician' is ideal for self-study since it is written in a straightforward style that encourages readers to learn at their own pace. The book features numerous exercises and examples that help reinforce understanding. Therefore, if you're someone looking to learn math independently or improve your skills, this book serves as an excellent guide. -
Frage:
Can I use this book to assist with high school mathematics?
Antworten: Yes, this book is an excellent companion for high school mathematics. It not only clarifies concepts commonly encountered in high school curricula but also enriches students' knowledge base with a deeper understanding of mathematical principles. Utilizing this resource alongside your studies can help clarify challenging subjects and promote a more comprehensive grasp of mathematics. -
Frage:
How does this book approach complex mathematical topics?
Antworten: The book employs a unique approach by breaking down complex mathematical theories into simpler, digestible parts. Kline uses relatable examples and analogies that connect mathematical concepts to everyday life, which helps demystify subjects that may seem daunting. By progressively building knowledge, readers can tackle more difficult topics with increased confidence and comprehension. -
Frage:
What makes this book different from other mathematics books?
Antworten: The distinctiveness of 'Mathematics for the Nonmathematician' lies in its focus on making mathematics accessible and enjoyable for those with little to no math background. Unlike traditional texts that can be overly technical, this book emphasizes clarity and real-world relevance, making it suitable for a broader audience. This approach helps readers not only understand math but also appreciate its value in everyday life. -
Frage:
Are there exercises or practice problems included?
Antworten: Yes, the book includes exercises and practice problems at the end of each chapter to solidify the concepts presented. This interactive element encourages readers to apply what they've learned and check their understanding. Such practice is crucial for reinforcing the material and building confidence in mathematical proficiency, making it a functional resource for both learners and educators. -
Frage:
Is this book appropriate for adults returning to education?
Antworten: Definitely! 'Mathematics for the Nonmathematician' is geared not just towards students but also adults who may be returning to education or exploring math for the first time. Its approachable tone and structured content can ease the anxiety often felt by adult learners, allowing them to engage with mathematical concepts without intimidation, whether for professional development or personal growth. -
Frage:
Where can I buy 'Mathematics for the Nonmathematician' in Liechtenstein?
Antworten: You can conveniently purchase 'Mathematics for the Nonmathematician' from Ubuy, which offers a reliable online platform for a variety of books, including Dover Publications. Ubuy provides a straightforward shopping experience, ensuring that you can find this essential math resource quickly and easily to enrich your understanding of mathematics.
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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Vorteile
- 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
Nachteile
- Initial chapters on history criticized for bias and lack of depth
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Merkmale und Vorteile
- 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





