……去思考和做证明，有很多非常有帮助的书。比如 Chartrand 等人写的《Mathematical Proofs: A Transition to Advanced Mathematics》；Velleman 写的《How to Prove It: A Structured Approach》；Nancy Rodgers 写的《Learning to Reason: An Introduction to Logic, Sets, and Relations》。初等离散数学书也非常适合用来作为证明和数学思维的入门：Epp 写的《Discrete Mathematics with Applications》；《Mathematics:…
…think and do proofs there are many helpful books. For example, Mathematical Proofs: A Transition to Advanced Mathematics by Chartrand and others. How to Prove It: A Structured Approach by Velleman. Learning to Reason: An Introduction to Logic, Sets, and Relations by Nancy Rodgers. Elementary Discrete Math books make for great intro to proofs and math thought: Discrete Mathematics with Applications by Epp. Mathematics:…
…Chartrand 等人写的《Mathematics》：https://www.amazon.com/Mathematical-Proofs-Transition-Advanc...；Lara Alcock 写的《How to Think About Analysis》：https://www.amazon.com/Think-About-Analysis-Lara-Alcock/dp/0...；Nancy Rodgers 写的《Learning to Reason: An Introduction to Logic, Sets, and Relations》：https://www.amazon.com/Learning-Reason-Introduction-Logic-Re...；Edward Scheinerman 写的《Mathematics: A Discrete Introduction》：https://www.amazon.com/Mathematics-Discrete-Introduction-Edw...…
…Mathematics by Chartrand et al: https://www.amazon.com/Mathematical-Proofs-Transition-Advanc... How to Think About Analysis by Lara Alcock: https://www.amazon.com/Think-About-Analysis-Lara-Alcock/dp/0... Learning to Reason: An Introduction to Logic, Sets, and Relations by Nancy Rodgers: https://www.amazon.com/Learning-Reason-Introduction-Logic-Re... Mathematics: A Discrete Introduction by Edward Scheinerman: https://www.amazon.com/Mathematics-Discrete-Introduction-Edw...…
……也就是所谓的“过渡”类书籍。举个例子，可以看看：[1] Susanna Epp 的《Discrete Math》，[2] Gary Chartrand 等人的《Transition to Advanced Math》，[3] Lara Alcock 的《How to Think about Analysis》，[4] Nancy Rodgers 的《Learning to Reason》 [1] https://books.google.com/books?id=PPc_2qUhXrAC&pg=PA1&source... [2] https://www.amazon.com/Mathematical-Proofs-Transition-Advanc... [3] https://books.google.com/books?id=n0tuBAAAQBAJ&pg=PA4&source...…
…the so called "transition" books. For example, check out [1] Discrete Math by Susanna Epp, [2] Transition to Advanced Math by Gary Chartrand et al, [3] How to Think about Analysis by Lara Alcock, [4] Learning to Reason by Nancy Rodgers [1] https://books.google.com/books?id=PPc_2qUhXrAC&pg=PA1&source... [2] https://www.amazon.com/Mathematical-Proofs-Transition-Advanc... [3] https://books.google.com/books?id=n0tuBAAAQBAJ&pg=PA4&source...…
…was fast, smooth and streamlined experience. Your millage may vary, though, as this one wasn't my first analysis encounter. This book enters the pantheon of books that were tremendously helpful to me: Learning to Reason by Nancy Rodgers, Discrete Math by Susanna Epp and Linear Algebra by Kuldeep Singh. [0] https://www.amazon.com/Real-Analysis-Long-Form-Mathematics-T...
…potions and jerry-rigging a structure held together by a scotch tape. tldr: I discovered math when I discovered a book on writing math proofs by Nancy Rodgers[0] https://www.google.com/books/edition/Learning_to_Reason/NuN2...
我最早的数学入门书是 Nancy Rodgers 写的《Learning to Reason: An Introduction to Logic, Sets, and Relations》。这类书通常很多都被叫做“离散数学导论”，因为我觉得离散数学比起连续数学来说，学起来更容易、也更规整……
My very first intro to math was through "Learning to Reason: An Introduction to Logic, Sets, and Relations" by Nancy Rodgers. Many books of this kind are usually called "Intro To Discrete Math" because I think discrete math is easier and neater than its continuous…
……去思考和做证明，有很多非常有帮助的书。比如 Chartrand 等人写的《Mathematical Proofs: A Transition to Advanced Mathematics》；Velleman 写的《How to Prove It: A Structured Approach》；Nancy Rodgers 写的《Learning to Reason: An Introduction to Logic, Sets, and Relations》。初等离散数学书也非常适合用来作为证明和数学思维的入门：Epp 写的《Discrete Mathematics with Applications》；《Mathematics:…
…think and do proofs there are many helpful books. For example, Mathematical Proofs: A Transition to Advanced Mathematics by Chartrand and others. How to Prove It: A Structured Approach by Velleman. Learning to Reason: An Introduction to Logic, Sets, and Relations by Nancy Rodgers. Elementary Discrete Math books make for great intro to proofs and math thought: Discrete Mathematics with Applications by Epp. Mathematics:…
…Chartrand 等人写的《Mathematics》：https://www.amazon.com/Mathematical-Proofs-Transition-Advanc...；Lara Alcock 写的《How to Think About Analysis》：https://www.amazon.com/Think-About-Analysis-Lara-Alcock/dp/0...；Nancy Rodgers 写的《Learning to Reason: An Introduction to Logic, Sets, and Relations》：https://www.amazon.com/Learning-Reason-Introduction-Logic-Re...；Edward Scheinerman 写的《Mathematics: A Discrete Introduction》：https://www.amazon.com/Mathematics-Discrete-Introduction-Edw...…
…Mathematics by Chartrand et al: https://www.amazon.com/Mathematical-Proofs-Transition-Advanc... How to Think About Analysis by Lara Alcock: https://www.amazon.com/Think-About-Analysis-Lara-Alcock/dp/0... Learning to Reason: An Introduction to Logic, Sets, and Relations by Nancy Rodgers: https://www.amazon.com/Learning-Reason-Introduction-Logic-Re... Mathematics: A Discrete Introduction by Edward Scheinerman: https://www.amazon.com/Mathematics-Discrete-Introduction-Edw...…
……也就是所谓的“过渡”类书籍。举个例子，可以看看：[1] Susanna Epp 的《Discrete Math》，[2] Gary Chartrand 等人的《Transition to Advanced Math》，[3] Lara Alcock 的《How to Think about Analysis》，[4] Nancy Rodgers 的《Learning to Reason》 [1] https://books.google.com/books?id=PPc_2qUhXrAC&pg=PA1&source... [2] https://www.amazon.com/Mathematical-Proofs-Transition-Advanc... [3] https://books.google.com/books?id=n0tuBAAAQBAJ&pg=PA4&source...…
…the so called "transition" books. For example, check out [1] Discrete Math by Susanna Epp, [2] Transition to Advanced Math by Gary Chartrand et al, [3] How to Think about Analysis by Lara Alcock, [4] Learning to Reason by Nancy Rodgers [1] https://books.google.com/books?id=PPc_2qUhXrAC&pg=PA1&source... [2] https://www.amazon.com/Mathematical-Proofs-Transition-Advanc... [3] https://books.google.com/books?id=n0tuBAAAQBAJ&pg=PA4&source...…
……整个体验又快又顺畅，一气呵成。不过每个人情况可能不同（YMMV），因为这并不是我第一次接触分析学。这本书已经进入了对我大有裨益的书籍神殿，同在其中的还有 Nancy Rodgers 的《Learning to Reason》、Susanna Epp 的《Discrete Math》以及 Kuldeep Singh 的《Linear Algebra》。[0] https://www.amazon.com/Real-Analysis-Long-Form-Mathematics-T...
…was fast, smooth and streamlined experience. Your millage may vary, though, as this one wasn't my first analysis encounter. This book enters the pantheon of books that were tremendously helpful to me: Learning to Reason by Nancy Rodgers, Discrete Math by Susanna Epp and Linear Algebra by Kuldeep Singh. [0] https://www.amazon.com/Real-Analysis-Long-Form-Mathematics-T...
……魔药，还有用透明胶带勉强粘在一起的豆腐渣结构。tldr：我是读了 Nancy Rodgers 写的一本关于数学证明的书后，才真正发现了数学的魅力[0] https://www.google.com/books/edition/Learning_to_Reason/NuN2...
…potions and jerry-rigging a structure held together by a scotch tape. tldr: I discovered math when I discovered a book on writing math proofs by Nancy Rodgers[0] https://www.google.com/books/edition/Learning_to_Reason/NuN2...
我最早的数学入门书是 Nancy Rodgers 写的《Learning to Reason: An Introduction to Logic, Sets, and Relations》。这类书通常很多都被叫做“离散数学导论”，因为我觉得离散数学比起连续数学来说，学起来更容易、也更规整……
My very first intro to math was through "Learning to Reason: An Introduction to Logic, Sets, and Relations" by Nancy Rodgers. Many books of this kind are usually called "Intro To Discrete Math" because I think discrete math is easier and neater than its continuous…