The book "p-adic Numbers, p-adic Analysis, and Zeta-Functions" by Neal Koblitz is a graduate-level text that introduces the fundamental concepts of p-adic numbers and their applications in analysis and number theory. The second edition includes significant revisions such as expanded coverage of p-adic functions, new exercises, an extensive appendix of answers and hints, and numerous corrections and clarifications. The book aims to provide an elementary introduction to p-adic analysis, covering topics like p-adic power series, p-adic interpolation of the Riemann zeta-function, and Dwork's proof of the rationality of the zeta-function of a system of equations over a finite field. It is designed for undergraduate and beginning graduate students and includes a variety of exercises to enhance understanding. The content is structured into chapters that build from basic concepts to more advanced topics, making it accessible and comprehensive for those interested in p-adic analysis.The book "p-adic Numbers, p-adic Analysis, and Zeta-Functions" by Neal Koblitz is a graduate-level text that introduces the fundamental concepts of p-adic numbers and their applications in analysis and number theory. The second edition includes significant revisions such as expanded coverage of p-adic functions, new exercises, an extensive appendix of answers and hints, and numerous corrections and clarifications. The book aims to provide an elementary introduction to p-adic analysis, covering topics like p-adic power series, p-adic interpolation of the Riemann zeta-function, and Dwork's proof of the rationality of the zeta-function of a system of equations over a finite field. It is designed for undergraduate and beginning graduate students and includes a variety of exercises to enhance understanding. The content is structured into chapters that build from basic concepts to more advanced topics, making it accessible and comprehensive for those interested in p-adic analysis.