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Librairie Eyrolles - Paris 5e

Mathematical thinking and writing

Mathematical thinking and writing

Randall A. Maddox

304 pages, parution le 15/08/2001


Constructing concise and correct proofs is one of the most challenging aspects of rk with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. Mathematical Thinking and Writing teaches readers to construct proofs and communicate with the precision necessary for working with abstraction. It is bas d on two premises:- that composing clear and accurate mathematical arguments is critical in abstract mathematics, and that this skill requires development and support. Abstraction is the destination, not the starting point.

Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure.

After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas.


  • Chapter o Notation and Assuptions
  • Part I Foundations of logic and proof writing
  • Chapter 1 Logic
  • Chapter 2 Beginner-Level Proof
  • Chapter 3 Functions
  • Part II Basic principales of analysis
  • Chapter 4 The Real Numbers
  • Chapter 5 Functions of a Real Variable
  • Part III Basic principales of algebra
  • Chapter 6 Groups
  • Chapter 7 Rings
  • Index

Caractéristiques techniques

Éditeur(s) Harcourt
Auteur(s) Randall A. Maddox
Parution 15/08/2001
Nb. de pages 304
Format 19 x 24
Couverture Relié
Poids 703g
Intérieur Noir et Blanc
EAN13 9780124649767


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