Functional Equations and How to Solve Them
Bắt đầu bởi bookworm_vn, 10-09-2007 - 02:40
#1
Đã gửi 10-09-2007 - 02:40
Tớ vừa mua cuốn sách này, viết cũng tàm tạm...
Over the years, a number of books have been written on the theory of functional equations. However, very little has been published which helps readers to solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. The student who encounters a functional equation on a mathematics contest will need to investigate solutions to the equation by finding all solutions, or by showing that all solutions have a particular property. The emphasis here will be on the development of those tools which are most useful in assigning a family of solutions to each functional equation in explicit form.
At the end of each chapter, readers will find a list of problems associated with the material in that chapter. The problems vary greatly, with the easiest problems being accessible to any high school student who has read the chapter carefully. The most difficult problems will be a reasonable challenge to advanced students studying for the International Mathematical Olympiad at the high school level or the William Lowell Putnam Competition for university undergraduates. The book ends with an appendix containing topics that provide a springboard for further investigation of the concepts of limits, infinite series and continuity.
Paperback: 129 pages
Publisher: Springer (June 2007)
Language: English
ISBN-10: 0387345396
ISBN-13: 978-0387345390
Product Dimensions: 9.1 x 6.1 x 0.4 inches
Over the years, a number of books have been written on the theory of functional equations. However, very little has been published which helps readers to solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. The student who encounters a functional equation on a mathematics contest will need to investigate solutions to the equation by finding all solutions, or by showing that all solutions have a particular property. The emphasis here will be on the development of those tools which are most useful in assigning a family of solutions to each functional equation in explicit form.
At the end of each chapter, readers will find a list of problems associated with the material in that chapter. The problems vary greatly, with the easiest problems being accessible to any high school student who has read the chapter carefully. The most difficult problems will be a reasonable challenge to advanced students studying for the International Mathematical Olympiad at the high school level or the William Lowell Putnam Competition for university undergraduates. The book ends with an appendix containing topics that provide a springboard for further investigation of the concepts of limits, infinite series and continuity.
Paperback: 129 pages
Publisher: Springer (June 2007)
Language: English
ISBN-10: 0387345396
ISBN-13: 978-0387345390
Product Dimensions: 9.1 x 6.1 x 0.4 inches
- Near Ryuzaki yêu thích
<span style='color:blue'>You are my escape from tension!</span>
#2
Đã gửi 10-09-2007 - 11:13
Lạ nhỉ! Sao lại phải mua! Cuốn này có trên diễn đàn rồi mà! Hoặc nếu không thì vào gigapedia tìm là có ngay thôi! Cuốn này tui cũng kiếm được theo cách đó rồi mà! Viết bình thường, không thích lắm!
#3
Đã gửi 10-09-2007 - 13:48
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[tex]Sel_E(F_n)_p[/tex]
#4
Đã gửi 10-09-2007 - 17:52
Quyển đấy là quyển nào thầy nhỉ ?Vào giga thì cần tải khoản cơ, vào trang này này http://trungtuan.wordpress.com/ và nhìn mục download.
Trong block của thầy có nhiều e_book quá
We will always have STEM with us. Some things will drop out of the public eye and will go away, but there will always be science, engineering, and technology. And there will always, always be mathematics.
#5
Đã gửi 10-09-2007 - 22:57
#6
Đã gửi 13-09-2007 - 19:49
Xem link này thế nào: http://diendantoanho...showtopic=31658Quyển đấy là quyển nào thầy nhỉ ?
Trong block của thầy có nhiều e_book quá
#7
Đã gửi 02-11-2007 - 23:33
Ngoài ra còn có cuốn của Aczel tiêu đề là : '' Lecture on function equation ''
God does Mathematics.
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