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Logic for Mathematicians
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ZMW 3358
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This comprehensive textbook introduces students and professional mathematicians to the techniques and principal results of mathematical logic.
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- Intended for logicians and mathematicians, this text is based on Dr. Hamilton's lectures to third and fourth year undergraduates in mathematics at the University of Stirling. With a prerequisite of first year mathematics, the author introduces students and professional mathematicians to the techniques and principal results of mathematical logic. In presenting the subject matter without bias towards particular aspects, applications or developments, it is placed in the context of mathematics. To emphasize the level, the text progresses from informal discussion to the precise description and use of formal mathmematical and logical systems. The revision of this very successful textbook includes new sections on skolemization and the application of well-formed formulae to logic programming; numerous corrections have been made and extra exercises added.
| Publisher | Cambridge University Press |
| Publication date | September 29, 1988 |
| Edition | 2nd |
| Language | English |
| Print length | 238 pages |
| ISBN-10 | 0521368650 |
| ISBN-13 | 978-0521368650 |
| Item Weight | 12.2 ounces (345.87 grams) |
| Dimensions | 6 x 0.6 x 9 inches (15.2 x 1.5 x 22.9 cm) |
Who Should Buy?
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Mathematics Students
Ideal for undergraduate mathematics students seeking to understand foundational concepts in mathematical logic and proof techniques.
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Aspiring Mathematicians
A great resource for individuals planning to pursue advanced studies in mathematics or logic, providing essential theoretical knowledge.
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Educators and Tutors
Beneficial for teachers and tutors wanting to enhance their curriculum with logical reasoning and mathematics instruction.
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Beginner Learners
Not suitable for complete beginners or non-mathematical backgrounds due to its complexity and abstract concepts.
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Logic Editorial Review
** Logic for Mathematicians (2nd Edition)** "Logic for Mathematicians" remains a respected resource for those delving into mathematical logic, appealing particularly to students and self-learners. Readers have found the book accessible, with clear and formal explanations that simplify the complex realms of formal logical systems and predicate calculus. Many users have praised its readability, especially for early concepts, making it an excellent companion for those overwhelmed by denser texts, such as Elliott Mendelson's "Introduction to Mathematical Logic." The strength of the book lies in its practical examples, which clarify intricate or poorly defined concepts, aiding comprehension. However, despite the early clarity, some readers have noted a decline in readability in the later chapters. Additionally, while the text is straightforward and offers a comprehensive overview, there are several mentions of typographical errors that detract from the learning experience, particularly in later chapters where the material is already challenging. Moreover, there are concerns regarding its price relative to quality, as one reviewer felt it was excessively priced given the errors present. Although some readers found the author’s explanations occasionally muddled, the overall response is largely positive, especially for beginners in the field. In summary, "Logic for Mathematicians" is valued for its approachable style and thorough treatment of fundamental topics in mathematical logic, making it an excellent choice for self-study despite noted flaws. **
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Pros
- Clear and formal explanations of logical systems.
- Accessible and readable, particularly for early concepts.
- Useful examples that clarify definitions and concepts.
- Good for self-study with answers to selected exercises.
- Low price relative to other math textbooks.
Cons
- Decline in readability in later chapters.
Product Price History
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ZMW 3358
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Features & Benefits
- Designed for logicians and mathematicians alike.
- Ideal for third and fourth year undergraduate mathematics.
- Covers essential techniques and results in mathematical logic.
- Includes new sections on skolemization and logic programming.
- Revised with numerous corrections and additional exercises.
- Progresses from informal discussions to formal mathematical systems.
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