Complexity Theory

Beschreibung

What can computers achieve – and what remains fundamentally beyond reach, even with the best algorithms?
What is complexity theory – and why is it so central to computer science? Complexity theory studies how much time, memory, or other resources are needed to solve algorithmic problems. It provides the foundation for understanding what computers can achieve – and what remains fundamentally beyond reach, even with the best algorithms. From the classical classes P and NP, through reductions, NP-completeness, and approximation problems, to interactive proof systems, PCP theory, and communication complexity, this book gradually introduces the key concepts of theoretical computer science. Lucien Sina not only explains the theory but also conveys the underlying ideas and intuitions. Numerous examples, proofs, and exercises with solutions help deepen understanding and develop a sense of the limits of what can be efficiently computed. The book is ideal for computer science students, instructors, researchers, and anyone seeking a solid yet clearly understandable introduction to complexity theory. It complements the author’s other works – *Algorithms and Data Structures*, *Computability Theory*, *Logic: Foundations, the P vs. NP Problem, and Information-Theoretic Perspectives*, and *Object-Oriented Programming in Java* – forming a coherent series for learning and reference, spanning from fundamental research to practical programming. Complexity theory demonstrates how deeply theory and practice in computer science are intertwined – and why knowing the limits of what is possible is often the first step toward expanding them creatively.

Autor*in

Lucien Sina
Lucien Sina ist Mathematiker, Informatiker, Pädagoge und vielseitiger Sachbuchautor. Er verbindet langjährige Erfahrung in Softwareentwicklung, Algorithmik und Didaktik mit der Fähigkeit, komplexe Inhalte klar und verständlich zu vermitteln. Als lizenzierter Fitnesstrainer arbeitet er seit über zwei Jahrzehnten mit Trainingslehre und Ernährung und vereint wissenschaftliche Erkenntnisse mit praktischer Erfahrung. In seinen Büchern – zu Informatik, Sport, Ernährung, Intelligenz, Psychologie, Hundeerziehung, Anti-Aging und weiteren Lebensthemen – legt er besonderen Wert auf Verständlichkeit, klare Struktur und unmittelbare Umsetzbarkeit. Seine Werke richten sich an Leser, die fundiertes Wissen suchen, das sowohl theoretisch solide als auch alltagstauglich ist.

Themen in »Complexity Theory«

Complexity Theory Complexity Complexity Classes Theoretical Computer Science Algorithms Algorithmic Efficiency Randomized Algorithms

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