Problems and Solutions in Mathematical Olympiad

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【簡介】 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. 【目錄】 Ingenious Computation of Rational Numbers Absolute Value First-Degree Equation with One Variable System of First-Degree Equations Application of a System of First-Degree Equations Setting Up (Systems of) Equations to Solve Word Problems (System of) First-Degree Inequalities Multiplication and Division of Polynomials with Integer Coefficients Line Segments Angles Sum of the Interior Angles of a Triangle Parallel Lines Assigning Variables Unnecessary for Solution Undetermined Coefficients Synthetic Division and Polynomial Remainder Theorem Simplifying and Evaluating an Algebraic Formula Logical Inference I Logical Inference II Divisibility Odd Numbers and Even Numbers Prime Numbers and Composite Numbers The Rule of Sum and the Rule of Product Number of Divisors Positional Notation Modular Arithmetic First-Degree Diophantine Equation with Two Unknowns The Drawer Principle

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. Request Inspection Copy 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.

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. Request Inspection Copy 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.

CHEMISTRY OF METALLOPROTEINS: PROBLEMS AND SOLUTIONS IN BIOINORGANIC CHEMISTRY

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【簡介】 Addresses the full gamut of questions in metalloprotein science Formatted as a question-and-answer guide, this book examines all major families of metal binding proteins, presenting our most current understanding of their structural, physicochemical, and functional properties. Moreover, it introduces new and emerging medical applications of metalloproteins. Readers will discover both the underlying chemistry and biology of this important area of research in bioinorganic chemistry. Chemistry of Metalloproteins features a building block approach that enables readers to master the basics and then advance to more sophisticated topics. The book begins with a general introduction to bioinorganic chemistry and metalloproteins. Next, it covers: Alkali and alkaline earth cations Metalloenzymes Copper proteins Iron proteins Vitamin B12 Chlorophyll Chapters are richly illustrated to help readers fully grasp all the chemical concepts that govern the biological action of metalloproteins. In addition, each chapter ends with a list of suggested original research articles and reviews for further investigation of individual topics. Presenting our most current understanding of metalloproteins, Chemistry of Metalloproteins is recommended for students and researchers in coordination chemistry, biology, and medicine. Each volume of the Wiley Series in Protein and Peptide Science addresses a specific facet of the field, reviewing the latest findings and presenting a broad range of perspectives. The volumes in this series constitute essential reading for biochemists, biophysicists, molecular biologists, geneticists, cell biologists, and physiologists as well as researchers in drug design and development, proteomics, and molecular medicine with an interest in proteins and peptides. 閱讀更少 【目錄】