Cengage India

A Transition to Advanced Mathematics

Author(s): Douglas Smith | Maurice Eggen | Richard St. Andre

ISBN: 9789360532703

8th Edition

India Release: 2024

₹950

Binding: Paperback

Pages: 452

Trim Size: 241 x 181 mm

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A TRANSITION TO ADVANCED MATHEMATICS, 8th edition, serves as a comprehensive guide bridging the gap between calculus and advanced math courses. Focusing on enhancing mathematical thinking and proof-writing skills, the authors present modern algebra and analysis concepts, while emphasizing critical awareness in identifying errors. Through clear explanations, detailed examples, and diverse exercises, students gain intuition and problem-solving abilities. This text nurtures the development of mathematicians by providing ample opportunities to practice and refine mathematical skills.

Logical development of topics with a consistent and concise writing style, focusing on improving students' proof-writing abilities.
Worked examples and exercises reinforce concepts, ranging from routine to challenging levels.
Proofs to Grade exercises test students' ability to identify correct reasoning and logical errors.
Flexible organization enables instructors to expand coverage or emphasize certain topics without disrupting the flow or completeness of the core material.
Optional topics can be included without compromising the coherence of the text.

1. Logic and Proofs

2. Sets and Induction

3. Relations and Partitions

4. Functions

5. Cardinality

6. Concepts of Algebra

7. Concepts of Analysis

Douglas Smith

Douglas Smith is Professor of Mathematics at the University of North Carolina at Wilmington.

Maurice Eggen

Maurice Eggen is Professor of Computer Science at Trinity University.

Richard St. Andre

Richard St. Andre is Associate Dean of the College of Science and Technology at Central Michigan University.

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A Transition to Advanced Mathematics

₹950