圖書標籤: thinking 數學 mathematics mathematical Textbook Mathematics Math Career
发表于2024-12-25
Mathematical Thinking pdf epub mobi txt 電子書 下載 2024
This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation. Coverage begins with the fundamentals of mathematical language and proof techniques (such as induction); then applies them to easily-understood questions in elementary number theory and counting; then develops additional techniques of proofs via fundamental topics in discrete and continuous mathematics. Topics are addressed in the context of familiar objects; easily-understood, engaging examples; and over 700 stimulating exercises and problems, ranging from simple applications to subtle problems requiring ingenuity. ELEMENTARY CONCEPTS. Numbers, Sets and Functions. Language and Proofs. Properties of Functions. Induction. PROPERTIES OF NUMBERS. Counting and Cardinality. Divisibility. Modular Arithmetic. The Rational Numbers. DISCRETE MATHEMATICS. Combinatorial Reasoning. Two Principles of Counting. Graph Theory. Recurrence Relations. CONTINUOUS MATHEMATICS. The Real Numbers. Sequences and Series. Continuity. Differentiation. Integration. The Complex Numbers. For anyone interested in learning how to understand and write mathematical proofs, or a reference for college professors and high school teachers of mathematics.
好書!
評分一顆星給the dedication “To all who enjoy mathematical puzzles, and to our loved ones, who tolerate our enjoyment of them" 還是一個學長的老闆寫的書!版排得太差瞭!
評分好書!
評分一顆星給the dedication “To all who enjoy mathematical puzzles, and to our loved ones, who tolerate our enjoyment of them" 還是一個學長的老闆寫的書!版排得太差瞭!
評分一顆星給the dedication “To all who enjoy mathematical puzzles, and to our loved ones, who tolerate our enjoyment of them" 還是一個學長的老闆寫的書!版排得太差瞭!
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Mathematical Thinking pdf epub mobi txt 電子書 下載 2024