The Essential Study Guide Additional Mathematics series comes in three parts: Part 1: Focuses on the building up of the foundation in Algebra Part 2: Understanding the concepts in Geometry and Trigonometry Part 3: Focuses on Calculus (Differentiation and Integration) This series of books follows the latest curriculum. The author hopes to make the learning of Additional Mathematics less daunting and stressful. Students will be able to learn at their own pace and individual learning is made possible with the simple and yet detailed explanations of concepts.
The Essential Study Guide Additional Mathematics series comes in three parts: Part 1: Focuses on the building up of the foundation in Algebra Part 2: Understanding the concepts in Geometry and Trigonometry Part 3: Focuses on Calculus (Differentiation and Integration) This series of books follows the latest curriculum. The author hopes to make the learning of Additional Mathematics less daunting and stressful. Students will be able to learn at their own pace and individual learning is made possible with the simple and yet detailed explanations of concepts.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Our collected work contains mathematics education research papers. Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.
• updated with new questions from top schools & colleges from 2003 – 2013 • complete and true encyclopedia of all question-types • exposes “surprise & trick” questions • complete answer keys • most efficient method of learning, hence saves time • arrange from easy-to-hard by topics and question-types to facilitate easy absorption • advanced trade book • complete and concise eBook editions available • also suitable for • Cambridge GCE OL • Cambridge IGCSE • Cambridge IOL • Books available for other subjects including Physics, Chemistry, Biology, Mathematics, Economics, English • Primary level, Secondary level, GCE O-level, GCE A-level, iGCSE, Cambridge A-level, Hong Kong DSE • visit www.yellowreef.com for sample chapters and more
• in-depth coverage of syllabus • comprehensive examples and solutions for quick revision • helps students to familiarise with various exam question-types • complete edition and concise edition eBooks available
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
• an expert guide to lead one through abstract knowledge and wisdom • enable accurate, complete and independent self−education • holistic question−answering techniques • exact definitions • latest mark schemes • most updated exam reports • complete edition and concise edition eBooks available
Based on part of the material from the author's best-selling book 'A Complete O-level Mathematics', this book provides the most effective examination revision guide for the modern 'O' level, GCSE.
