Tags
Language
Tags
May 2025
Su Mo Tu We Th Fr Sa
27 28 29 30 1 2 3
4 5 6 7 8 9 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
25 26 27 28 29 30 31
    Attention❗ To save your time, in order to download anything on this site, you must be registered 👉 HERE. If you do not have a registration yet, it is better to do it right away. ✌

    ( • )( • ) ( ͡⚆ ͜ʖ ͡⚆ ) (‿ˠ‿)
    SpicyMags.xyz

    The Art of Proving Binomial Identities

    Posted By: roxul
    The Art of Proving Binomial Identities

    Michael Z. Spivey, "The Art of Proving Binomial Identities "
    English | ISBN: 0815379420 | 2019 | 380 pages | PDF | 16 MB

    The Art of Proving Binomial Identities accomplishes two goals: (1) It provides a unified treatment of the binomial coefficients, and (2) Brings together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course, but also basic algebra (binomial theorem), infinite series (Newton’s binomial series), differentiation (Leibniz’s generalized product rule), special functions (the beta and gamma functions), probability, statistics, number theory, finite difference calculus, algorithm analysis, and even statistical mechanics.
    The book is very suitable for advanced undergraduates or beginning graduate students and includes various exercises asking them to prove identities. Students will find that the text and notes at the end of the chapters encourages them to look at binomial coefficients from different angles. With this learning experience, students will be able to understand binomial coefficients in a new way.
    Features:
    Provides a unified treatment of many of the techniques for proving binomial coefficient identities.
    Ties together several of the courses in the undergraduate mathematics curriculum via a single theme.
    A textbook for a capstone or senior seminar course in mathematics.
    Contains several results by the author on proof techniques for binomial coefficients that are not well-known.
    Ideal for self-study, it contains a large number of exercises at the end of each chapter, with hints or solutions for every exercise at the end of the book.