Mathematical Thinking and Writing
A Transition to Higher Mathematics
Seiten
2001
Academic Press Inc
978-0-12-464976-7 (ISBN)
Academic Press Inc
978-0-12-464976-7 (ISBN)
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Mathematical language requires a precision that allows freedom of expression and creativity in a world of theory. This guide introduces this precise form of thought and communication, thereby initiating the reader in concepts such as mathematical proofing and critical analysis.
The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language of proof construction and critical analysis. Randall Maddox guides the reader with a warm, conversational style, through the task of gaining a thorough understanding of the proof process, and encourages inexperienced mathematicians to step up and learn how to think like a mathematician. A student's skills in critical analysis will develop and become more polished than previously conceived. Most significantly, Dr. Maddox has the unique approach of using analogy within his book to clarify abstract ideas and clearly demonstrate methods of mathematical precision.
The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language of proof construction and critical analysis. Randall Maddox guides the reader with a warm, conversational style, through the task of gaining a thorough understanding of the proof process, and encourages inexperienced mathematicians to step up and learn how to think like a mathematician. A student's skills in critical analysis will develop and become more polished than previously conceived. Most significantly, Dr. Maddox has the unique approach of using analogy within his book to clarify abstract ideas and clearly demonstrate methods of mathematical precision.
Notation and Assumptions; Section I: Foundations of Logic and Proof Writing; Ch 1. Logic; Ch 2. Beginner-Level Proofs; Ch. 3 Functions; Section II: Basic Principles of Analysis; Ch 4. The Real Numbers; Ch 5. Functions of a Real Variable; Section III: Basic Principles of Aglebra; Ch 6. Groups; Ch 7. Rings; Index
| Erscheint lt. Verlag | 24.7.2001 |
|---|---|
| Verlagsort | San Diego |
| Sprache | englisch |
| Maße | 191 x 235 mm |
| Gewicht | 720 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| ISBN-10 | 0-12-464976-9 / 0124649769 |
| ISBN-13 | 978-0-12-464976-7 / 9780124649767 |
| Zustand | Neuware |
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