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  • Insights into Chinese Culture

    Series series Philosophy and Religion (R0)
    Highlighting the pinnacle achievements of Chinese culture, this book presents the authors’ profound insights into the concepts and passions that have shaped the Chinese nation over the past 5,000 years. By exploring this rich historical legacy of remarkable creativity and innovative spirit, still evident today in living masterpieces of art, architecture and fascinating folk traditions, readers ... Read more

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  • Problems And Solutions In Mathematical Olympiad (High School 3)

    The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the ... Read more

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  • The Nuts and Bolts of Proofs

    An Introduction to Mathematical Proofs

    The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It ... Read more

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  • Elementary Number Theory

    Series series Mathematics and Statistics (R0)
    Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back ground or maturity from the reader, and which can be read and understood with no extra assistance. Our first three chapters are based almost entirely on A-level mathematics, while the next five require little else beyond some el ementary group theory. It ... Read more

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  • Concrete Abstract Algebra

    From Numbers to Gröbner Bases

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  • Algebra

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    This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra.The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan–Holder Theorem becomes a ... Read more

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  • Analysis

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    Building on the basic concepts through a careful discussion of covalence, (while adhering resolutely to sequences where possible), the main part of the book concerns the central topics of continuity, differentiation and integration of real functions. Throughout, the historical context in which the subject was developed is highlighted and particular attention is paid to showing how precision allows ... Read more

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  • Elementary Number Theory

    Series series Textbooks in Mathematics
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    Series series Textbooks in Mathematics
    Studying abstract algebra can be an adventure of awe-inspiring discovery. The subject need not be watered down nor should it be presented as if all students will become mathematics instructors. This is a beautiful, profound, and useful field which is part of the shared language of many areas both within and outside of mathematics.To begin this journey of discovery, some experience with ... Read more

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