Extension Mathematics

Author: Anthony Gardiner
Publisher:
ISBN: 9780199151530
Category : Gifted children
Languages : en
Pages : 0

Book Description
Although there is a perception that at the highest levels students should be capable of 'self-study', the topics in the accompanying student books are designed to be introduced by the teacher and the ideas tackled as a class. This is the key role of the Teacher's Guide, which for each lessoncontains suggested approaches, useful resources, common misconceptions, and answers.

Teaching Mathematics at Secondary Level

Author: Tony Gardiner
Publisher: Open Book Publishers
ISBN: 1783741406
Category : Mathematics
Languages : en
Pages : 248

Book Description
Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

The Gamma Function

Author: Emil Artin
Publisher: Courier Dover Publications
ISBN: 0486803007
Category : Mathematics
Languages : en
Pages : 52

Book Description
This brief monograph on the gamma function was designed by the author to fill what he perceived as a gap in the literature of mathematics, which often treated the gamma function in a manner he described as both sketchy and overly complicated. Author Emil Artin, one of the twentieth century's leading mathematicians, wrote in his Preface to this book, "I feel that this monograph will help to show that the gamma function can be thought of as one of the elementary functions, and that all of its basic properties can be established using elementary methods of the calculus." Generations of teachers and students have benefitted from Artin's masterly arguments and precise results. Suitable for advanced undergraduates and graduate students of mathematics, his treatment examines functions, the Euler integrals and the Gauss formula, large values of x and the multiplication formula, the connection with sin x, applications to definite integrals, and other subjects.

An Introduction to Infinite Products

Author: Charles H. C. Little
Publisher: Springer Nature
ISBN: 3030906469
Category : Mathematics
Languages : en
Pages : 258

Book Description
This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.

ACM Transactions on Modeling and Computer Simulation

Author:
Publisher:
ISBN:
Category : Computer simulation
Languages : en
Pages : 552

Book Description

Encyclopaedia of Mathematics

Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9401512884
Category : Mathematics
Languages : en
Pages : 595

Book Description
This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.

Topics in Mathematical Analysis

Author: Augustin Louis Baron Cauchy
Publisher: World Scientific
ISBN: 9789971506667
Category : Mathematics
Languages : en
Pages : 1010

Book Description
This volume aims at surveying and exposing the main ideas and principles accumulated in a number of theories of Mathematical Analysis. The underlying methodological principle is to develop a unified approach to various kinds of problems. In the papers presented, outstanding research scientists discuss the present state of the art and the broad spectrum of topics in the theory.

Computers in Mathematics

Author: V. Chudnovsky
Publisher: CRC Press
ISBN: 1000117154
Category : Computers
Languages : en
Pages : 425

Book Description
Talks from the International Conference on Computers and Mathematics held July 29-Aug. 1, 1986, Stanford U. Some are focused on the past and future roles of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, physics,

Catalogue of Scientific Papers (1800-1900): ser. 4 , 1884-1900

Author: Royal Society (Great Britain)
Publisher:
ISBN:
Category : Learned institutions and societies
Languages : en
Pages : 1030

Book Description

Simulating chi-square data through algorithms in the presence of uncertainty

Author: Muhammad Aslam
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14

Book Description
This paper presents a novel methodology aimed at generating chi-square variates within the framework of neutrosophic statistics. It introduces algorithms designed for the generation of neutrosophic random chi-square variates and illustrates the distribution of these variates across a spectrum of indeterminacy levels. The investigation delves into the influence of indeterminacy on random numbers, revealing a significant impact across various degrees of freedom. Notably, the analysis of random variate tables demonstrates a consistent decrease in neutrosophic random variates as the degree of indeterminacy escalates across all degrees of freedom values. These findings underscore the pronounced effect of uncertainty on chi-square data generation. The proposed algorithm offers a valuable tool for generating data under conditions of uncertainty, particularly in scenarios where capturing real data proves challenging. Furthermore, the data generated through this approach holds utility in goodness-of-fit tests and assessments of variance homogeneity.