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The Stair-Step Approach in Mathematics: Problem Books in Mathematics

Autor Hayk Sedrakyan, Nairi Sedrakyan
en Limba Engleză Hardback – feb 2018
This book is intended as a teacher’s manual and as an independent-study handbook for students and mathematical competitors. Based on a traditional teaching philosophy and a non-traditional writing approach (the stair-step method), this book consists of new problems with solutions created by the authors. The main idea of this approach is to start from relatively easy problems and “step-by-step” increase the level of difficulty toward effectively maximizing students' learning potential.
In addition to providing solutions, a separate table of answers is also given at the end of the book. A broad view of mathematics is covered, well beyond the typical elementary level, by providing more in depth treatment of Geometry and Trigonometry, Number Theory, Algebra, Calculus, and Combinatorics.
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Specificații

ISBN-13: 9783319706313
ISBN-10: 3319706314
Pagini: 498
Ilustrații: XIX, 531 p. 11 illus.
Dimensiuni: 155 x 235 x 36 mm
Greutate: 1.05 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Springer
Seria Problem Books in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Geometry and Trigonometry.- Number Theory.- Algebra.- Calculus.- Combinatorics.- Hints.- Solutions.- Answers.

Recenzii

“This book is original, enticing, and highly stimulating, and it is a useful addition to the competition-oriented literature.” (Stephen Rout, The Mathematical Gazette, Vol. 104 (560), July, 2020)

Notă biografică

Hayk Sedrakyan is an IMO medal winner Professor of mathematics in Paris,
France and a professional Math Olympiad Coach in Greater Boston area,
Massachusetts, USA. He has defended his PhD thesis in mathematics in UPMC-
Sorbonne University, Paris, France. Hayk is a Doctor of Mathematical Sciences
in USA, France and Armenia. He has received 3 Master’s degrees in mathematics
from Germany, Austria, Armenia and has spent a small part of his PhD studies in
Italy. Hayk has authored several scientific mathematical research articles and several
books on the topic of problem solving and Olympiad style mathematics published
in USA and South Korea.
 
Nairi Sedrakyan is involved in national and international Olympiads of mathe-
matics, having been the President of Armenian Mathematics Olympiads and IMO
problem selection committee member. He is the author of one of the hardest prob-
lems ever proposed in the history of International Mathematical Olympiad (5th
problem of 37th IMO). He has been the Leader of Armenian IMO Team, jury mem- ber of IMO, jury member and problem selection committee member of Zhautykov
International Mathematical Olympiad (ZIMO), jury member and problem selection
committee member of International Olympiad of Metropolises, the President of In-
ternational Mathematical Olympiad Tournament of the Towns in Armenia. He is
also the author of a large number of problems proposed in these Olympiads and has
authored several books on the topic of problem solving and Olympiad style math-
ematics published in USA, Russia, South Korea and Armenia. For his outstanding
teaching Nairi Sedrakyan received the title of the best teacher of the Republic of
Armenia and has been awarded with a special gift from the Prime Minister.

Textul de pe ultima copertă

This book is intended as a teacher’s manual and as an independent-study handbook for students and mathematical competitors. Based on a traditional teaching philosophy and a non-traditional writing approach (the stair-step method), this book consists of new problems with solutions created by the authors. The main idea of this approach is to start from relatively easy problems and “step-by-step” increase the level of difficulty toward effectively maximizing students' learning potential.
In addition to providing solutions, a separate table of answers is also given at the end of the book. A broad view of mathematics is covered, well beyond the typical elementary level, by providing more in depth treatment of Geometry and Trigonometry, Number Theory, Algebra, Calculus, and Combinatorics.

Caracteristici

Contains 735 new problems created by the authors, with author-prepared solutions Problems are presented in a step-by-step approach, increasing difficulty with each problem Covers all main topics in pure mathematics: geometry, trigonometry, number theory, algebra, calculus, and combinatorics