Students can find programming help online to understand complex data structures like trees, graphs, and hash tables used in efficient algorithms. Online programming help resources such as interactive coding platforms and computer science forums allow students to get assistance implementing advanced algorithms involving recursion, sorting, searching, and run-time complexity analysis. The focus of the article is data structures and algorithms. The efficiency of algorithms plays a significant role in the revolution of computers. The writers attribute the efficiency of algorithms to advancements in microelectronics and chip design since they increase the pace of computer hardware (Vazirani et al., 2006). In making this statement, Vazirani et al. (2006) recognized the importance of technological advancement in the computer revolution.
An audience should not accept any information shared without asking questions. For this reason, Vazirani et al. (2006) noted how any algorithm resulted in questions such as “Is it correct? 2. How much time does it take, as a function of n? 3. And can we do better?” Asking questions eliminates confusion which is likely to occur when learning about algorithms. Equally, asking questions also helps in acquiring knowledge. Therefore, the writers expressed how important it is for readers to question the validity of different types of algorithms, such as the Fibonacci algorithm, famously known for the sequence of numbers.
Another key argument of the text is the correlation between running time and the accuracy of results when using algorithms. According to Vazirani et al. (2006), the sloppy running time may lead to inaccuracies when calculating numbers using the Fibonacci algorithm or sequence of numbers. The authors depict how algorithms have inefficiencies and rely on intellects to improve innovation. Therefore, algorithms play a significant role in reducing human error. However, this benefit does not negate that computer-related innovations also need improvement to enhance efficiency.
Another insightful idea shared by Vazirani et al. (2006) is the danger of exponential time when computing numbers using different types of algorithms. Slow computers interfere with the process of calculating number sequence. In this case, algorithms face the challenge of inefficiency attributed to the curse of exponential time. However, advancements in technology promote Moore’s law, which explains how computer speed doubles every 18 months (Vazirani et al., 2006).
The text’s target audience includes experts in computer science and mathematics. The authors’ technical writing supports the above claim throughout the text. In this case, people unfamiliar with the technical language must search for further clarification on the internet. Suppose the writers intend to widen their audience. Future research should consider using less complex terms or writing in a language that is more accessible and easy to understand without requiring external sources to interpret the meaning of the arguments.
The prologue appeals to a reader’s intellect since the authors incorporated logos, a rhetorical approach to writing to influence the credibility and reliability of their work. Logos equates to the text of an argument, which demonstrates how well authors argue their points. Some elements that represent the application of logos include the definition of terms, facts, statistics, explanation of ideas, and examples. In this case, the writers incorporated information throughout the text to support their claims. For instance, Vazirani et al. (2006) noted that a goldsmith named Johann Gutenberg discovered typography in 1448. Additionally, the writers stated the value this invention had to people’s literacy and its role in the advancement of computers and algorithms. Such information informs readers that the writers researched to gather factual information to justify their claims. For this reason, readers accept the findings of this report because of its credibility and reliability.
Overall, the text is informative and expressive. Most readers without a computer science or mathematics background will find the text more complex to read. However, some adjustments to the text can help such readers comprehend the technical content.
Vazirani, U., Papadimitriou, H. C., & Dasgupta, S. (2006). Algorithms. McGraw-Hill Education,