Problems and Solutions in Mathematical Olympiad :High School 3
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The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.
The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.
In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.
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Sample Chapter(s)
Preface
Chapter 1: Permutations and Combinations
Solution 1: Permutations and Combinations
Contents:
Permutations and Combinations
Binomial Coefficients
Counting: Correspondence and Recursion
Counting: Inclusion-Exclusion Principle
Combinatorial Problems
Exact Division
Prime Numbers
Congruence (1)
Indeterminate (Diophantine) Equations (1)
Problems in Number Theory
Operations and Exact Division of Polynomials
Zeros of Polynomials
Polynomials with Integral Coefficients
Interpolation and Difference of Polynomials
Roots of Unity and Their Applications
Generating Function Method
Sets and Families of Subsets
Graph Theory Problems
Congruentce (2)
Indeterminate Equations (2)
Comprehensive Exercises
Readership: Secondary school students engaged in mathematical competition, coaches in mathematics teaching, and teachers setting up math elective courses.
原價:
1454
售價:
1381
現省:
73元
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Mathematical Olympiad in China (2009-2010) : Problems and Solutions [Paperback]
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電子書Problems and Solutions in Mathematical Finance: Equity Derivatives, Volume 2 2017 <JW>
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Problems and Solutions in Stochastic Calculus with Applications
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【簡介】
Problems and Solutions in Stochastic Calculus with Applications exposes readers to simple ideas and proofs in stochastic calculus and its applications. It is intended as a companion to the successful original title Introduction to Stochastic Calculus with Applications (Third Edition) by Fima Klebaner. The current book is authored by three active researchers in the fields of probability, stochastic processes, and their applications in financial mathematics, mathematical biology, and more. The book features problems rooted in their ongoing research. Mathematical finance and biology feature pre-eminently, but the ideas and techniques can equally apply to fields such as engineering and economics.
The problems set forth are accessible to students new to the subject, with most of the problems and their solutions centring on a single idea or technique at a time to enhance the ease of learning. While the majority of problems are relatively straightforward, more complex questions are also set in order to challenge the reader as their understanding grows. The book is suitable for either self-study or for instructors, and there are numerous opportunities to generate fresh problems by modifying those presented, facilitating a deeper grasp of the material.
【目錄】
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Problems and Solutions in Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions and Quantum Mechanics
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This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.
The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students with instructive problems along with problem-solving strategies. Programming problems with solutions are also included.
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Sample Chapter(s)
Preface
Chapter 1: Normed Spaces and Banach Spaces
Contents:
Normed Spaces and Banach Spaces
Hilbert Spaces
Finite Dimensional Hilbert Spaces
Hilbert Space L₂(Ω)
Hilbert Space ℓ₂(II)
Fourier Transform
Wavelets
Holomorphic Entire Functions and Hilbert Space
Generalized Functions
Quantum Mechanics
Readership: Advanced undergraduate, graduate and post-graduate students in mathematics and theoretical physics. The book is also suitable for those taking courses in functional analysis and quantum theory.
原價:
2211
售價:
2100
現省:
111元
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