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He is considered to be the founder of the celebrated Polish school of functional equations and inequalities.

Probably even the most devoted specialist would not have thought that about pages can be written just about the Cauchy equation and on some closely related equations and inequalities. And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality [ It concludes with an excursion into the field of extensions of homomorphisms in general.

One can imagine what deliciousness represents this book for functional equationists. Skip to main content Skip to table of contents. Advertisement Hide. Front Matter Pages i-xiv.

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Introduction to Functional Equations

None of what I have looked up also relate to olympiad problems. Can anyone please recommend me a book that could help me get acquainted with the topic.


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Michael Steele. This book gives a comprehensive treatment of inequalities from many different perspectives.


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  • It is both, instructive and a pleasure to read. If you don't know it, it might provide you with a lot of nice gems. A valuable, systematical primer into functional equations is Introduction to Functional Equations by Costas Efthimiou. It also provides IMO examples.

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    Maybe it is even online available. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Book recommendation for studying functional equations Ask Question.

    Asked 3 years ago. And functional equations have been a favorite topic of the leading national and international mathematical competitions.

    Yet the subject has not received equal attention by authors at an introductory level. The majority of the books on the topic remain unreachable to the curious and intelligent precollege student. The present book is an attempt to eliminate this disparity. View PDF. Save to Library. Create Alert.