HKDSE Maths 數學 Past Paper Solution 歷屆試題題解 (包括 Paper 1 及 Paper 2 MC 選擇題 詳細題解) 內容包括︰ 2012 樣本試卷 Sample Paper 、 2012 練習卷 Practice Paper、 2012 至 (最新) 2023 HKDSE 的 試題題解 所有題解均有教學影片，方便同學更易理解及學習 https://www.youtube.com/playlist?list=PLzDe9mOi1K8qUwsow09TJIjFcaTCdmnSB [購買此 e-book，並不包括任何問書服務] 如欲獲取問書服務，必需購買 HKDSE 數學天書實體版 訂購天書詳情可 click 入 : https://sites.google.com/view/HermanYeung

HKDSE Maths (M2) 數學 (M2) Past Paper Solution 歷屆試題題解 內容包括︰ 2012 樣本試卷 Sample Paper 、 2012 練習卷 Practice Paper、 2012 至 (最新) 2023 HKDSE 的 試題題解 所有題解均有教學影片，方便同學更易理解及學習 https://youtube.com/playlist?list=PLzDe9mOi1K8qY9oNriuR4KyJLP9aywaSP [購買此 e-book，並不包括任何問書服務] 如欲獲取問書服務，必需購買 HKDSE 數學天書實體版 訂購天書詳情可 click 入 : https://sites.google.com/view/HermanYeung

Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor based on incorporating the computer to the course and an integrated approach to inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout.* Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. They'll get a thorough grounding in probability theory, and go beyond that to the theory of statistical inference and its applications. An integrated approach to inference is presented that includes the frequency approach as well as Bayesian methodology. Bayesian inference is developed as a logical extension of likelihood methods. A separate chapter is devoted to the important topic of model checking and this is applied in the context of the standard applied statistical techniques. Examples of data analyses using real-world data are presented throughout the text. A final chapter introduces a number of the most important stochastic process models using elementary methods. *Note: An appendix in the book contains Minitab code for more involved computations. The code can be used by students as templates for their own calculations. If a software package like Minitab is used with the course then no programming is required by the students.

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.