Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MScMore about us
Functional Equations and How to Solve them by Christopher G. Small
MathSchoolinternational contain thousands of
Mathematics Free Books and
Physics Free Books. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other
Best Free Math Websites for teachers and students.
Here is extisive list of Functional Equations Books . We hope students and teachers like these textbooks, notes and solution manuals.
Share this page:-
We need Your Support, Kindly Share this Web Page with Other Friends
Congratulations, the link is avaliable for free download.
About this book :-
Functional Equations and How to Solve them written by Christopher Small
This books is best for the student who encounters a functional equation on a mathematics contest will need to investigate solutions to the equation by finding all solutions (if any) or by showing that all solutions have a particular property. Our emphasis is on the development of those tools which are most useful in giving a family of solutions to each functional equation in explicit form.
Book Detail :-
Title: Functional Equations and How to Solve them
Author(s): Christopher G. Small
ISBN: 978-0-387-34539-0, 978-0-387-48901-8
Get Similar Books from Amazon
Join our new updates, alerts:-
For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).
Book Contents :-
Functional Equations and How to Solve them written by Christopher Small cover the following topics.
An historical introduction
Preliminary remarks, Nicole Oresme, Gregory of Saint-Vincent, Augustin-Louis Cauchy, What about calculus?, Jean d’Alembert, Charles Babbage, Mathematics competitions and recreational mathematics, A contribution from Ramanujan, Simultaneous functional equations, A clarification of terminology, Existence and uniqueness of solutions, Problems
Functional equations with two variables
Cauchy’s equation, Applications of Cauchy’s equation, Jensen’s equation, Linear functional equation, Cauchy’s exponential equation, Pexider’s equation, Vincze’s equation, Cauchy’s inequality, Equations involving functions of two variables, Euler’s equation, D’Alembert’s equation, Problems
Functional equations with one variable
Introduction, Linearization, Some basic families of equations, menagerie of conjugacy equations, Finding solutions for conjugacy equations, The Koenigs algorithm for Schr¨oder’s equation, The L´evy algorithm for Abel’s equation, An algorithm for B¨ottcher’s equation, Solving commutativity equations, Generalizations of Abel’s and Schr¨oder’s equations, General properties of iterative roots, Functional equations and nested radicals, Problems
Miscellaneous methods for functional equations
Polynomial equations, Power series methods, Equations involving arithmetic functions, An equation using special groups, Problems
Some closing heuristics
Appendix: Hamel bases
Hints and partial solutions to problems
We are not the owner of this book/notes. We provide it which is already avialable on the internet. For any further querries please contact us. We never SUPPORT PIRACY. This copy was provided for students who are financially troubled but want studeing to learn. If You Think This Materials Is Useful, Please get it legally from the PUBLISHERS. Thank you.
Other Famous Books Topics:-