Description
Book SynopsisTrade Review"One would expect that this book offers a demanding, sophisticated look at this material, done rapidly and concisely. One would be correct. . . . [F]or very sophisticated honors courses with exceptionally well-prepared students who are prepared to work hard, it would certainly offer a vivid, exciting and informative introduction to this material."
---Mark Hunacek, MAA Reviews"The ideal textbook to cover the foundations of mathematics. . . . This is one of the best books at the undergraduate level that I’ve ever read."
---Jonathan Shock, Mathemafrica"The book is clearly written, with elegant proofs, and a clever selection of the topics, allowing to present in one volume in a coherent and self-contained manner, several topics, starting with background results in abstract algebra and topology and culminating with Stokes’ theorem. . . . The book will be of great help for teachers on advanced courses in analysis, or for self-study by students, giving them a quick but rigorous acquittance with somefundamental results of mathematical analysis."
---Tiberiu Trif, Studia Mathematica"Tested and proven in classroom, this unique undergraduate textbook presents various basic topics in one coherent primer of reasonable size, and that in a very elegant style."
---Werner Kleinert, Zentralblatt MATH"Every prospective master’s student should work through this fantastic book in order to acquire a sound background on the fundamentals of analysis."
---R. Donninger, International Math News
