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Exploring the Infinite: An Introduction to Proof and Analysis (Textbooks in Mathematics) by Jennifer Brooks (Author) is a nonfiction available to read on EtoBox.

What is Exploring the Infinite: An Introduction to Proof and Analysis (Textbooks in Mathematics) about?

Exploring the Infinite addresses the trend toward a combined transition course and introduction to analysis course. It guides the reader through the processes of abstraction and log- ical argumentation, to make the transition from student of mathematics to practitioner of mathematics. This requires more than knowledge of the definitions of mathematical structures, elementary logic, and standard proof techniques. The student focused on only these will develop little more than the ability to identify a number of proof templates and to apply them in predictable ways to standard problems. This book aims to do something more; it aims to help readers learn to explore mathematical situations, to make conjectures, and only then to apply methods of proof. Practitioners of mathematics must do all of these things. The chapters of this text are divided into two parts. Part I serves as an introduction to proof and abstract mathematics and aims to prepare the reader for advanced course work in all areas of mathematics. It thus includes all the standard material from a transition to proof" course. Part II constitutes an introduction to the basic concepts of analysis, including limits of sequences

Who reads Exploring the Infinite: An Introduction to Proof and Analysis (Textbooks in Mathematics)?

Author

Jennifer Brooks (Author)

Publisher

Chapman and Hall/CRC

Published

2016

Language

EN

ISBN

9781498704502

Category

nonfiction

Subjects

Engineering, Mathematics, Science