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Nº de artículo:
46524369
Mathematical Logic (Dover Books on Mathematics)
89% of respondents would recommend this to a friend
Nº de artículo:
46524369
USD 23
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Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text.
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What Stands Out
Comprehensive Coverage
This book provides an extensive exploration of mathematical logic, covering essential topics and foundational principles that cater to both beginners and advanced readers in the field.
Clear Explanations
Complex concepts are presented with clarity and precision, making it easier for students to grasp intricate ideas, enhancing their understanding of logically structured arguments and proofs.
Affordable Edition
As part of the Dover series, this book offers high-quality educational content at an economical price point, making it accessible to a wide range of learners and educators.
Detalles de producto
- Comprehensive multipart text on mathematical logic for undergraduate students
- Covers first-order logic, model theory, Hilbert-type proof theory, and derived rules
- Introduces newer ideas and profound results of twentieth-century logical research
- Explores formal number theory and incompleteness and undecidability results
- Includes examinations of completeness theorem, Skolem's paradox, and nonstandard models
- Written by Stephen Cole Kleene, a renowned mathematician from the University of Wisconsin
| Publisher | Dover Publications |
| Publication date | December 18, 2002 |
| Language | English |
| Print length | 432 pages |
| ISBN-10 | 9780486425337 |
| ISBN-13 | 978-0486425337 |
| Item Weight | 1.18 pounds (540 grams) |
| Dimensions | 5.5 x 1 x 8.25 inches (14 x 2.5 x 21 cm) |
| Part of series | Dover Books on Mathematics |
Who Should Buy?
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Students of Logic
Ideal for undergraduate or graduate students studying mathematical logic or formal logic in academia.
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Mathematics Enthusiasts
Great for self-learners and enthusiasts who want to deepen their understanding of mathematical foundations.
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Philosophy Scholars
Useful for philosophy students focusing on logic, language, or the philosophy of mathematics.
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Casual Readers
Not suitable for those looking for light reading or casual engagement with mathematics.
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Preguntas y respuestas de los clientes
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Pregunta:
What is the main focus of Mathematical Logic offered by Dover Books?
Respuesta: Mathematical Logic offered by Dover Books primarily focuses on the principles and foundations of logical reasoning within mathematics. It covers essential topics such as propositional and predicate logic, as well as proof techniques. This comprehensive approach makes it suitable for students, educators, and enthusiasts keen on understanding how logical structures underpin mathematical theories. -
Pregunta:
Who is the author of the Mathematical Logic Dover Books on Mathematics?
Respuesta: The author of the Mathematical Logic Dover Books varies based on the specific title you select. Dover Publications features works by prominent logicians and mathematicians, providing expert insights. Notable figures often include Stephen Cole Kleene and George Boolos, whose contributions deepen readers' understanding of logical systems and philosophical implications. -
Pregunta:
What concepts do I learn from Mathematical Logic books?
Respuesta: Mathematical Logic books delve into crucial concepts such as quantifiers, logical connectives, and the structure of mathematical proofs. Readers will explore the connections between logic and set theory, as well as the role of completeness and incompleteness theorems. This foundational knowledge is valuable for advanced studies in mathematics, computer science, and philosophy. -
Pregunta:
Is prior knowledge of mathematics required for understanding Mathematical Logic?
Respuesta: While a basic understanding of mathematical concepts is beneficial, it's not strictly required to grasp the content in Mathematical Logic books. The texts are often structured to introduce essential definitions and workings step-by-step. Beginners may find the journey into logical reasoning accessible, making it a great resource for enhancing their mathematical literacy. -
Pregunta:
How can Mathematical Logic improve problem-solving skills?
Respuesta: Engaging with Mathematical Logic enhances problem-solving skills by training readers to think critically and follow structured arguments. It encourages a step-by-step approach to breaking down complex problems into simpler components. As a result, individuals can apply these techniques across various fields including mathematics, computer programming, and analytical reasoning tasks. -
Pregunta:
Are Mathematical Logic books suitable for self-study?
Respuesta: Yes, Mathematical Logic books are particularly suitable for self-study. They often include exercises and examples that facilitate learning without the need for formal instruction. Readers can progress at their own pace, making it an ideal choice for learners who appreciate flexibility and a systematic progression through logical concepts. -
Pregunta:
What is the unique feature of Dover publications in Mathematical Logic?
Respuesta: Dover publications are renowned for their affordability and high-quality reprints of classic texts in Mathematical Logic. These publications often feature updated introductions or commentaries that enhance the reader's understanding of historical and modern implications. The commitment to making essential mathematical literature accessible is a standout aspect of Dover's editions. -
Pregunta:
Can Mathematical Logic texts be beneficial for computer science students?
Respuesta: Absolutely! Mathematical Logic texts are invaluable for computer science students, as they lay the groundwork for understanding algorithms, programming languages, and computational theory. Topics like Boolean logic directly relate to circuit design and programming principles, providing a robust framework that is beneficial in both theoretical and practical applications. -
Pregunta:
Are there different editions of Mathematical Logic by Dover?
Respuesta: Yes, Dover offers various editions and adaptations of Mathematical Logic texts. Each edition may cater to different learning levels or approaches within the logic field. Some editions focus on introductory material, while others delve deeper into advanced topics, ensuring that readers can find a suitable version that aligns with their knowledge and interest levels. -
Pregunta:
Where can I buy Mathematical Logic Dover Books on Mathematics in Puerto Rico?
Respuesta: You can purchase Mathematical Logic Dover Books on Mathematics in Puerto Rico through Ubuy. Ubuy provides a convenient online shopping experience, allowing you to browse various titles and access their extensive catalog dedicated to mathematical literature, ensuring you find the right book to enhance your logical reasoning skills.
Logic Editorial Review
Mathematical Logic Dover Books on Mathematics is a comprehensive and sophisticated text on the subject. The author, Stephen Kleene, does an excellent job of providing detailed and rigorous proofs of the most important theorems of logic, along with a philosophical Consideration of one of the best logicians of the 20th century. The book is very detailed and comes with exercises at the end of every paragraph, making it easy to follow and reinforce what has been learned. The book is a great acquisition that comes highly recommended by satisfied customers.
Customer Reviews & Ratings
89 valoraciones de los clientes
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5 estrella
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4 estrella
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3 estrella
7%
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ventajas
- Comprehensive and sophisticated text
- Detailed and rigorous proofs
- Philosophical Considerations from one of the best logicians of the 20th century
- Comes with exercises at the end of every paragraph
- Abundant examples and exercises
Contras
- Terrible layout with hardly any white space
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características y beneficios
- Comprehensive introduction to mathematical logic
- Covers a variety of techniques for formulating logic
- Discusses the incompleteness and undecidability of formal number theory
- Examines Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic
- Written by a esteemed professor of mathematics
- Useful for students and researchers alike
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