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Pure Mathematics for Beginners - Accelerated and Expanded Edition: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory,
BIF 282144
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Pure Mathematics for Beginners - Accelerated and Expanded Edition: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real ... Complex Analysis, and Linear Algebra
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- Pure Mathematics for Beginners - Accelerated and Expanded EditionPure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. The 16 lessons in this book cover basic through intermediate material from each of these 8 topics. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. This accelerated and expanded edition of the book moves at a faster pace and contains much more content than the standard edition. Pure Mathematics for Beginners is perfect forprofessors teaching an introductory college course in higher mathematicshigh school teachers working with advanced math studentsstudents wishing to see the type of mathematics they would be exposed to as a math major.The material in this pure math book includes:16 lessons in 8 subject areas.A problem set after each lesson arranged by difficulty level.A complete solution guide is included as a downloadable PDF file.Pure Math Book Table Of Contents (Selected) Here's a selection from the table of contents:IntroductionLesson 1 - Logic: Propositional LogicLesson 2 - Set Theory: Sets, Relations and FunctionsLesson 3 - Abstract Algebra: Algebraic StructuresLesson 4 - Number Theory: Induction and DivisibilityLesson 5 - Real Analysis: Completeness and ContinuityLesson 6 - Topology: The Topology of RLesson 7 - Complex Analysis: The Field of Complex NumbersLesson 8 - Linear Algebra: Vector SpacesLesson 9 - Logic: First-order LogicLesson 10 - Set Theory: Axioms, Ordinals, and CardinalsLesson 11 - Abstract Algebra: Quotients and Structure TheoremsLesson 12 - Number Theory: Cyclic Groups and Modular ArithmeticLesson 13 - Real Analysis: Differentiation and IntegrationLesson 14 - Topology: Topological Spaces and HomeomorphismsLesson 15 - Complex Analysis: Analytic Functions and IntegrationLesson 16 - Linear Algebra: Determinants and Banach Spaces
| Publisher | Get 800 |
| Publication date | January 3, 2022 |
| Language | English |
| Print length | 660 pages |
| ISBN-10 | 1951619129 |
| ISBN-13 | 978-1951619121 |
| Item Weight | 3.72 pounds (1.69 kg) |
| Dimensions | 8.27 x 1.49 x 11.69 inches (21 x 3.8 x 29.7 cm) |
Who Should Buy?
-
Mathematics Students
Ideal for undergraduates needing a strong foundation in advanced mathematical concepts and theories for their coursework.
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Self-learners
Excellent for individuals pursuing self-study in mathematics who want structured learning in a variety of topics.
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Teachers and Tutors
A valuable resource for educators looking for materials to teach advanced mathematics concepts effectively.
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Casual Learners
Not suitable for those seeking light or casual reading material without rigorous mathematical depth and complexity.
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Complete Beginners
May overwhelm individuals with no prior mathematical background as it assumes a basic understanding of mathematical principles.
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Non-mathematics Fields
Not ideal for professionals or students in fields unrelated to mathematics, requiring less technical depth.
Product Description
Customer Questions & Answers
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Question:
What topics are covered in 'Pure Mathematics for Beginners - Accelerated and Expanded Edition'?
Answer: This edition comprehensively covers essential topics like logic, set theory, abstract algebra, number theory, and real analysis. It provides a rigorous introduction designed for beginners who wish to gain a solid foundation in mathematics. Each topic is approached with clarity, supporting learners to develop critical thinking and problem-solving skills. For instance, students can enhance their understanding of logical reasoning through puzzles, while the introduction to set theory helps in grasping complex data organization concepts. -
Question:
Is this book suitable for self-study?
Answer: Absolutely! 'Pure Mathematics for Beginners' is specifically crafted for self-studying individuals. Its clear explanations, structured content, and progressively challenging exercises enable learners to grasp complex concepts independently. Each chapter builds upon the last, allowing readers to gradually deepen their understanding. Ideal for students or enthusiasts aiming to strengthen their mathematical skills for academic coursework or personal enrichment, it serves as the perfect companion for self-paced learning. -
Question:
Who is the target audience for this book?
Answer: The target audience includes beginners in mathematics, high school students, university undergraduates, and anyone interested in reinforcing their mathematical foundation. It is particularly beneficial for those preparing for advanced studies or exams in mathematics-related fields. The content is designed to be accessible, catering to individuals with varying levels of prior knowledge, making it an excellent resource for those who want to delve into the world of pure mathematics. -
Question:
Can this book help prepare for university-level mathematics?
Answer: Yes, this book is an excellent preparatory resource for university-level mathematics. It introduces essential concepts and methodologies that are foundational for higher studies. The rigorous approach, combined with practical examples and exercises, enhances comprehension of more advanced topics. Students who master these materials will find they are better equipped for challenges in higher mathematics courses, ultimately building a strong academic base. -
Question:
Are there exercises included to practice the concepts learned?
Answer: Yes, 'Pure Mathematics for Beginners' includes a variety of exercises at the end of each chapter. These tasks reinforce the theoretical concepts discussed and encourage practical application of the material. By working through the exercises, learners can assess their understanding and progress. For example, practice problems related to set theory may involve real-world scenarios, helping to solidify the learner’s grasp of the concepts through practical application. -
Question:
Is this edition significantly different from earlier versions?
Answer: The Accelerated and Expanded Edition offers more extensive coverage than previous versions, including additional topics and enhanced explanations. It includes new examples that illustrate complex concepts more clearly and practical scenarios that demonstrate real-world applications. This edition is designed to make learning more effective and engaging, perfect for those who may have struggled with earlier texts. Such improvements make it more suitable for comprehensive learning. -
Question:
What prerequisites are needed to read this book?
Answer: The book is designed for beginners, which means no extensive prerequisites are required. However, a basic understanding of algebra and some familiarity with mathematical reasoning would be beneficial. Readers should ideally possess a high school level knowledge of mathematics to fully appreciate the discussions on logic and abstraction. This accessibility allows new learners to engage with core principles while still being challenging enough to push their boundaries. -
Question:
How does this book encourage critical thinking in mathematics?
Answer: This book encourages critical thinking by providing problems that require logical reasoning and abstraction. Each section seamlessly integrates theoretical concepts with practical problem-solving exercises, prompting readers to think independently and approach problems analytically. For example, real-world applications are illustrated in various sections, inviting readers to explore mathematics beyond rote memorization. This fosters a deeper appreciation of mathematics as a dynamic discipline, stimulating ongoing inquiry and exploration. -
Question:
Are there any customer reviews available for this book?
Answer: Yes, customer reviews for 'Pure Mathematics for Beginners' can typically be found on major retail websites. These reviews offer valuable insights into reader experiences, covering aspects like clarity, usability, and effectiveness in conveying mathematical concepts. Feedback from a diverse array of learners can help future readers gauge the book's strengths and potential weaknesses. Engaging with these reviews can inform your decision on whether this resource fits your educational needs. -
Question:
Where can I buy 'Pure Mathematics for Beginners - Accelerated and Expanded Edition' in Burundi?
Answer: You can purchase 'Pure Mathematics for Beginners - Accelerated and Expanded Edition' at Ubuy in Burundi. Ubuy provides a convenient platform for accessing educational materials, ensuring that you can easily order this rigorous mathematics resource online. Their service offers options for swift procurement, making it an excellent choice for those looking to enhance their mathematical skills and knowledge.
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Pros
- Comprehensive coverage of topics
- Beginner-friendly explanations
- Well-structured chapters
- Engaging examples and exercises
- Builds a strong foundation
Cons
- Some sections may be slightly dense.
Product Price History
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BIF 282144
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Features & Benefits
- 16 lessons covering 8 subject areas
- Includes problem sets after each lesson
- Complete solution guide available as a PDF
- Perfect for introductory college courses in higher mathematics
- Suitable for high school teachers and advanced math students
- Ideal for students interested in mathematics as a major

