Functional Equations And How To Solve Them

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Functional Equations and How to Solve Them

Author : Christopher G. Small
Publisher : Springer Science & Business Media
ISBN 13 : 0387489010
Total Pages : 139 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Functional Equations and How to Solve Them by : Christopher G. Small

Download or read book Functional Equations and How to Solve Them written by Christopher G. Small and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.

Introduction to Functional Equations

Author : Costas Efthimiou
Publisher : American Mathematical Soc.
ISBN 13 : 0821853147
Total Pages : 381 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Functional Equations by : Costas Efthimiou

Download or read book Introduction to Functional Equations written by Costas Efthimiou and published by American Mathematical Soc.. This book was released on 2011-10-13 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions and their properties have been part of the rigorous precollege curriculum for decades. 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. The book opens with a review chapter on functions, which collects the relevant foundational information on functions, plus some material potentially new to the reader. The next chapter presents a working definition of functional equations and explains the difficulties in trying to systematize the theory. With each new chapter, the author presents methods for the solution of a particular group of equations. Each chapter is complemented with many solved examples, the majority of which are taken from mathematical competitions and professional journals. The book ends with a chapter of unsolved problems and some other auxiliary material. The book is an invaluable resource for precollege and college students who want to deepen their knowledge of functions and their properties, for teachers and instructors who wish to enrich their curricula, and for any lover of mathematical problem-solving techniques. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

On Functions and Functional Equations

Author : J. Smital
Publisher : CRC Press
ISBN 13 : 1000112187
Total Pages : 164 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis On Functions and Functional Equations by : J. Smital

Download or read book On Functions and Functional Equations written by J. Smital and published by CRC Press. This book was released on 2020-08-26 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: On Functions and Functional Equations introduces the main topics in iteration theory and the theory of functional equations with emphasis on applications in the fields of mathematics, physics, biology, chemistry, and electronics and mechanical engineering. The book contains many classical results as well as important, more recent results. It also includes numerous exercise and some problems that have yet to be resolved. The book is accessible to readers having a secondary level mathematical education.

Topics in Functional Equations

Author : Titu Andreescu
Publisher :
ISBN 13 : 9780999342862
Total Pages : 552 pages
Book Rating : 4.3/5 (428 download)

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Book Synopsis Topics in Functional Equations by : Titu Andreescu

Download or read book Topics in Functional Equations written by Titu Andreescu and published by . This book was released on 2020-01-15 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Equations on Hypergroups

Author : L szl¢ Szkelyhidi
Publisher : World Scientific
ISBN 13 : 9814407011
Total Pages : 210 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Functional Equations on Hypergroups by : L szl¢ Szkelyhidi

Download or read book Functional Equations on Hypergroups written by L szl¢ Szkelyhidi and published by World Scientific. This book was released on 2013 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc. This book exhibits the use of functional equations and spectral synthesis in the theory of hypergroups. It also presents the fruitful consequences of this delicate OC marriageOCO where the methods of spectral analysis and synthesis can provide an efficient tool in characterization problems of function classes on hypergroups.This book is written for the interested reader who has open eyes for both functional equations and hypergroups, and who dares to enter a new world of ideas, a new world of methods OCo and, sometimes, a new world of unexpected difficulties.

Berkeley Problems in Mathematics

Author : Paulo Ney de Souza
Publisher : Springer Science & Business Media
ISBN 13 : 9780387204291
Total Pages : 614 pages
Book Rating : 4.2/5 (42 download)

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Book Synopsis Berkeley Problems in Mathematics by : Paulo Ney de Souza

Download or read book Berkeley Problems in Mathematics written by Paulo Ney de Souza and published by Springer Science & Business Media. This book was released on 2004-01-08 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.

On Applications and Theory of Functional Equations

Author : J. Aczel
Publisher : Springer
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis On Applications and Theory of Functional Equations by : J. Aczel

Download or read book On Applications and Theory of Functional Equations written by J. Aczel and published by Springer. This book was released on 1969 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cauchy-Schwarz Master Class

Author : J. Michael Steele
Publisher : Cambridge University Press
ISBN 13 : 9780521546775
Total Pages : 320 pages
Book Rating : 4.5/5 (467 download)

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Book Synopsis The Cauchy-Schwarz Master Class by : J. Michael Steele

Download or read book The Cauchy-Schwarz Master Class written by J. Michael Steele and published by Cambridge University Press. This book was released on 2004-04-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.

Functional Equations in Mathematical Olympiads (2017 - 2018)

Author : Amir Hossein Parvardi
Publisher :
ISBN 13 : 9781983024467
Total Pages : 171 pages
Book Rating : 4.0/5 (244 download)

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Book Synopsis Functional Equations in Mathematical Olympiads (2017 - 2018) by : Amir Hossein Parvardi

Download or read book Functional Equations in Mathematical Olympiads (2017 - 2018) written by Amir Hossein Parvardi and published by . This book was released on 2018-05-29 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional equations, which are a branch of algebraic problems used in mathematical competitions, appear in recent olympiads very frequently. The current book is the first volume in a series of books on collections of solved problems in functional equations. This volume contains 175 problems on the subject, including those used in latest mathematical olympiads (2017 - 2018) around the world. The basic concepts of functional equations and techniques of problem solving have been briefly discussed in the preamble of the book.

Analytic Solutions of Functional Equations

Author : Sui Sun Cheng
Publisher : World Scientific
ISBN 13 : 9812793348
Total Pages : 296 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Analytic Solutions of Functional Equations by : Sui Sun Cheng

Download or read book Analytic Solutions of Functional Equations written by Sui Sun Cheng and published by World Scientific. This book was released on 2008 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a self-contained and unified introduction to the properties of analytic functions. Based on recent research results, it provides many examples of functional equations to show how analytic solutions can be found.Unlike in other books, analytic functions are treated here as those generated by sequences with positive radii of convergence. By developing operational means for handling sequences, functional equations can then be transformed into recurrence relations or difference equations in a straightforward manner. Their solutions can also be found either by qualitative means or by computation. The subsequent formal power series function can then be asserted as a true solution once convergence is established by various convergence tests and majorization techniques. Functional equations in this book may also be functional differential equations or iterative equations, which are different from the differential equations studied in standard textbooks since composition of known or unknown functions are involved.

Functional Equations On Groups

Author : Henrik Stetkaer
Publisher : World Scientific
ISBN 13 : 9814513148
Total Pages : 396 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Functional Equations On Groups by : Henrik Stetkaer

Download or read book Functional Equations On Groups written by Henrik Stetkaer and published by World Scientific. This book was released on 2013-07-15 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations on the real line to those on groups, in particular, non-abelian groups. This volume presents, in careful detail, a number of illustrative examples like the cosine equation on the Heisenberg group and on the group SL(2, ℝ). Some of the examples are not even seen in existing monographs. Thus, it is an essential source of reference for further investigations.

Functional Equations in Applied Sciences

Author : Enrique Castillo
Publisher : Elsevier
ISBN 13 : 0080477917
Total Pages : 410 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Functional Equations in Applied Sciences by : Enrique Castillo

Download or read book Functional Equations in Applied Sciences written by Enrique Castillo and published by Elsevier. This book was released on 2004-11-04 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved. A general methodology for solving functional equations is provided in Chapter 2. The different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science, engineering, economics, probability, statistics, etc, help the reader to change his/her mind in order to state problems as functional equations as an alternative to differential equations, and to state new problems in terms of functional equations or systems. An interesting feature of the book is that it deals with functional networks, a powerful generalization of neural networks that allows solving many practical problems. The second part of the book, Chapters 9 to 13, is devoted to the applications of this important paradigm. The book contains many examples and end of chapter exercises, that facilitates the understanding of the concepts and applications. · A general methodology for solving functional equations is provided in Chapter 2. · It deals with functional networks, a powerful generalization of neural networks. · Many examples, coming from different fields, as geometry, science, engineering, economics, probability, statistics, etc, illustrate the concept of functional equation. · Functional equations are presented as a powerful alternative to differential equations. · The book contains end of chapter exercises.

Functional Equations A Problem Solving Approach

Author : B. J. Venkatachala
Publisher :
ISBN 13 : 9788172862657
Total Pages : 218 pages
Book Rating : 4.8/5 (626 download)

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Book Synopsis Functional Equations A Problem Solving Approach by : B. J. Venkatachala

Download or read book Functional Equations A Problem Solving Approach written by B. J. Venkatachala and published by . This book was released on 2002 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mean Value Theorems and Functional Equations

Author : Prasanna Sahoo
Publisher : World Scientific
ISBN 13 : 9789810235444
Total Pages : 268 pages
Book Rating : 4.2/5 (354 download)

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Book Synopsis Mean Value Theorems and Functional Equations by : Prasanna Sahoo

Download or read book Mean Value Theorems and Functional Equations written by Prasanna Sahoo and published by World Scientific. This book was released on 1998 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a comprehensive look at mean value theorems and their connection with functional equations. Besides the traditional Lagrange and Cauchy mean value theorems, it covers the Pompeiu and the Flett mean value theorems as well as extension to higher dimensions and the complex plane. Furthermore the reader is introduced to the field of functional equations through equations that arise in connection with the many mean value theorems discussed.

Matrix Algebra and Its Applications to Statistics and Econometrics

Author : Calyampudi Radhakrishna Rao
Publisher : World Scientific
ISBN 13 : 9789810232689
Total Pages : 560 pages
Book Rating : 4.2/5 (326 download)

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Book Synopsis Matrix Algebra and Its Applications to Statistics and Econometrics by : Calyampudi Radhakrishna Rao

Download or read book Matrix Algebra and Its Applications to Statistics and Econometrics written by Calyampudi Radhakrishna Rao and published by World Scientific. This book was released on 1998 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: "I recommend this book for its extensive coverage of topics not easily found elsewhere and for its focus on applications".Zentralblatt MATH"The book is an excellent source on linear algebra, matrix theory and applications in statistics and econometrics, and is unique in many ways. I recommend it to anyone interested in these disciplines, and especially in how they benefit from one another".Statistical Papers, 2000

Functional Equations and Inequalities

Author : John Michael Rassias
Publisher : World Scientific Publishing Company
ISBN 13 : 9813147628
Total Pages : 396 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Functional Equations and Inequalities by : John Michael Rassias

Download or read book Functional Equations and Inequalities written by John Michael Rassias and published by World Scientific Publishing Company. This book was released on 2017-03-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. Request Inspection Copy

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Author : Haim Brezis
Publisher : Springer Science & Business Media
ISBN 13 : 0387709142
Total Pages : 600 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Functional Analysis, Sobolev Spaces and Partial Differential Equations by : Haim Brezis

Download or read book Functional Analysis, Sobolev Spaces and Partial Differential Equations written by Haim Brezis and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.