Discrete Mathematics and Its Applications

Technology

Print length: 787 pagesMcGraw-Hill, 2003

Description

Kenneth H. Rosen introduces the mathematical language and reasoning used throughout computer science and related technical fields. Beginning with logic, sets, functions, and methods of proof, the book develops tools for algorithms, number theory, induction, recursion, counting, probability, relations, graphs, trees, Boolean algebra, and models of computation. Worked examples show how abstract definitions govern practical questions such as network paths, cryptographic arithmetic, program correctness, and efficient counting. Exercises range from direct practice to problems requiring the reader to construct and justify an argument. Organized as a broad course textbook rather than a continuous narrative, it aims to build fluency in precise symbolic thinking and in the proof techniques needed to move from plausible patterns to established conclusions.

Reading profile

About this profile

Collected’s assessment, not reader ratings. Complexity runs from 1 (least demanding) to 5 (most demanding).

Writing: How much attention the sentences and language require.
Ideas: How much interpretation or abstract reasoning the book asks of you.
Structure: How much you need to keep track of speakers, timelines and connections.
Background knowledge: Prior knowledge needed to follow the book, beyond what it explains.
Emotional intensity: Emotional pressure, from gentle (1) to intense (5). Separate from difficulty.

Writing style

Academic · Dense · Technical

Pace

Slow

Tone

Cerebral · Detached · Earnest

Structure

Reference

Focus

Argument · Ideas · Information

Emotional intensity

1 / 5

Reading complexity

1–5 · higher means more demanding

Writing: 4 / 5
Ideas: 5 / 5
Structure: 3 / 5
Background knowledge: 3 / 5

Themes

Knowledge and truthTechnology and society

About Kenneth H. Rosen

Kenneth H. Rosen is an American mathematician and author of widely used introductory textbooks in discrete mathematics and number theory. Alongside his publishing career, he served as a distinguished member of the technical staff at AT&T Laboratories. His books are comprehensive, methodical guides that connect rigorous reasoning with practical problem solving. Discrete Mathematics and Its Applications gives students in mathematics, computer science, and engineering a broad foundation in proof, algorithms, combinatorics, graphs, and computation. Elementary Number Theory and Its Applications likewise develops theory through numerical examples, graduated exercises, computational tools, and historical context. Rosen is distinguished by treating applications, from cryptography and hashing to scheduling, as integral to mathematical understanding.

Book details

For the print edition listed above.

Publisher: McGraw-Hill
Language: English
ISBN: 9780072424348

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