An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:

Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991.

After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death.

Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers.

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

"The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 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 [...], in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality [...]. Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews)

"This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)

 

An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality by Marek Kuczma

From reader reviews:

David Long:

Book is to be different per grade. Book for children till adult are different content. To be sure that book is very important for us. The book An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality has been making you to know about other knowledge and of course you can take more information. It is quite advantages for you. The reserve An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality is not only giving you much more new information but also to get your friend when you really feel bored. You can spend your personal spend time to read your publication. Try to make relationship with all the book An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality. You never feel lose out for everything in case you read some books.

Kimi Frantz:

Information is provisions for folks to get better life, information these days can get by anyone with everywhere. The information can be a knowledge or any news even an issue. What people must be consider while those information which is inside former life are hard to be find than now could be taking seriously which one is suitable to believe or which one the resource are convinced. If you obtain the unstable resource then you understand it as your main information you will have huge disadvantage for you. All of those possibilities will not happen within you if you take An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality as the daily resource information.

Coralee Lowe:

The reserve with title An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality posesses a lot of information that you can study it. You can get a lot of advantage after read this book. This particular book exist new know-how the information that exist in this guide represented the condition of the world today. That is important to yo7u to learn how the improvement of the world. This book will bring you throughout new era of the syndication. You can read the e-book on your smart phone, so you can read the item anywhere you want.

Margaret Holt:

The book untitled An Introduction to the Theory of Functional Equations and Inequalities: Cauchy's Equation and Jensen's Inequality contain a lot of information on this. The writer explains your girlfriend idea with easy technique. The language is very easy to understand all the people, so do not necessarily worry, you can easy to read the item. The book was written by famous author. The author will bring you in the new age of literary works. You can easily read this book because you can read on your smart phone, or program, so you can read the book within anywhere and anytime. In a situation you wish to purchase the e-book, you can available their official web-site and order it. Have a nice go through.