The Mathematical Trinity:Imagination, Inference and Insight
商品資訊
系列名:Springer Praxis Books
ISBN13:9789819618026
出版社:Springer Nature Switzerland AG
作者:Balkrishna Shetty
出版日:2025/02/19
裝訂/頁數:精裝/300頁
規格:15.5cm*23.5cm (高/寬)
商品簡介
The book discusses the nine popular propositions in mathematics: the consistency theorem from logic; isosceles triangle theorem and Pythagorean theorem from geometry; ordered pair proposition and mathematical induction principle from ZermeloFraenkel set theory; remainder theorem from number theory; the quadratic equation proposition and the subgroup theorem from algebra; and Dedekind continuum theorem from analysis, and thereby cover a sufficiently wide cross-section of modern mathematical sub-domains. Using these propositions, the book primarily has three objectives: to offer a deeper appreciation of these propositions and related concepts; to provide a better understanding of their relationship with other topics of mathematics; and, above all, to throw light on the profound nature of the discipline that has developed and advanced over the millennia through a synergistic combination of imagination, inference, and insights.
The book meticulously dissects each of these chosen propositions in separate chapters while simultaneously probing their intricate interrelationships. This approach yields a heightened appreciation of their mathematical significance, bridging the divide between educational levels. These propositions often appear poised between school-level mathematics and university-level rigour, and the book adeptly navigates this middle ground. Furthermore, it goes beyond mere logical inference, embracing the realms of imagination and insight. It offers a holistic, historical, and intellectual perspective, unravelling not just the necessity of each proposition but also its unique contributions to the fabric and evolution of mathematics. In doing so, it sheds light on a constellation of interconnected mathematical concepts, enriching the reader''s comprehension of this remarkable discipline.
主題書展
更多書展購物須知
外文書商品之書封,為出版社提供之樣本。實際出貨商品,以出版社所提供之現有版本為主。部份書籍,因出版社供應狀況特殊,匯率將依實際狀況做調整。
無庫存之商品,在您完成訂單程序之後,將以空運的方式為你下單調貨。為了縮短等待的時間,建議您將外文書與其他商品分開下單,以獲得最快的取貨速度,平均調貨時間為1~2個月。
為了保護您的權益,「三民網路書店」提供會員七日商品鑑賞期(收到商品為起始日)。
若要辦理退貨,請在商品鑑賞期內寄回,且商品必須是全新狀態與完整包裝(商品、附件、發票、隨貨贈品等)否則恕不接受退貨。

