Bộ sách luyện thi ETS 2023 LC&RC
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299,000₫
A Walk Through Combinatorics (Sách keo gáy, bìa mềm )
This is a textbook for an introductory
combinatorics course lasting one or two semesters. An extensive list of
problems, ranging from routine exercises to research questions, is
included. In each section, there are also exercises that contain
material not explicitly discussed in the preceding text, so as to
provide instructors with extra choices if they want to shift the
emphasis of their course.
Just as with the first three editions,
the new edition walks the reader through the classic parts of
combinatorial enumeration and graph theory, while also discussing some
recent progress in the area: on the one hand, providing material that
will help students learn the basic techniques, and on the other hand,
showing that some questions at the forefront of research are
comprehensible and accessible to the talented and hardworking
undergraduate. The basic topics discussed are: the twelvefold way,
cycles in permutations, the formula of inclusion and exclusion, the
notion of graphs and trees, matchings, Eulerian and Hamiltonian cycles,
and planar graphs.
New to this edition are the Quick Check
exercises at the end of each section. In all, the new edition contains
about 240 new exercises. Extra examples were added to some sections
where readers asked for them.
The selected advanced topics are:
Ramsey theory, pattern avoidance, the probabilistic method, partially
ordered sets, the theory of designs, enumeration under group action,
generating functions of labeled and unlabeled structures and algorithms
and complexity.
The book encourages students to learn more
combinatorics, provides them with a not only useful but also enjoyable
and engaging reading.
The Solution Manual is available upon
request for all instructors who adopt this book as a course text. Please
send your request to sales@wspc.com.
The previous edition of this
textbook has been adopted at various schools including UCLA, MIT,
University of Michigan, and Swarthmore College. It was also translated
into Korean.
Thể loại:Mathematics - Combinatorics
Năm:2017
In lần thứ:4
Nhà xuát bản:World Scientific, World Scientific Publishing Co. Pte. Ltd.
Ngôn ngữ:english
Trang:614
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