What is Mathematics?


Book Description




School, Family, and Community Partnerships


Book Description

Strengthen programs of family and community engagement to promote equity and increase student success! When schools, families, and communities collaborate and share responsibility for students′ education, more students succeed in school. Based on 30 years of research and fieldwork, the fourth edition of the bestseller School, Family, and Community Partnerships: Your Handbook for Action, presents tools and guidelines to help develop more effective and more equitable programs of family and community engagement. Written by a team of well-known experts, it provides a theory and framework of six types of involvement for action; up-to-date research on school, family, and community collaboration; and new materials for professional development and on-going technical assistance. Readers also will find: Examples of best practices on the six types of involvement from preschools, and elementary, middle, and high schools Checklists, templates, and evaluations to plan goal-linked partnership programs and assess progress CD-ROM with slides and notes for two presentations: A new awareness session to orient colleagues on the major components of a research-based partnership program, and a full One-Day Team Training Workshop to prepare school teams to develop their partnership programs. As a foundational text, this handbook demonstrates a proven approach to implement and sustain inclusive, goal-linked programs of partnership. It shows how a good partnership program is an essential component of good school organization and school improvement for student success. This book will help every district and all schools strengthen and continually improve their programs of family and community engagement.




English Skills Builder 1


Book Description

The Australian Curriculum edition of the English Skills Builder series sees these best-selling skills resources fully revised to address the three English strands of Language, Literacy and Literature. Designed to complement any English program, this series will teach and reinforce the skills that students need at junior secondary level. Each workbook is divided into 50 units, and content explores different aspects of language use as well as different text types and genres. The English Skills Builder series are now accompanied by digital obooks for the first time. The obook is a cloud-based web-book available anywhere, anytime, on any device, navigated by topic or by 'page view'. As well as containing the student text, the obook offers additional Enriching Literature units focusing on texts relevant to the cross-curriculum priorities, as well as popular classic and contemporary texts.For all related titles in this series, please click here




How to Prove It


Book Description

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.




Advanced Calculus (Revised Edition)


Book Description

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.




Visual Complex Analysis


Book Description

This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.




Real Analysis (Classic Version)


Book Description

This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.




Antiquity 2


Book Description

This new edition features a full colour design with a variety of Ancient Societies, Personalities and Historical Periods drawing on a range of archaeological and written evidence. Chapters from Antiquity 3 have also been revised and included in this combined volume to provide the most comprehensive coverage of the HSC Ancient History course, now conveniently in one book. Written and presented in an absorbing and accessible manner, Antiquity 2 Third Edition will enhance students' experience of ancient civilisations and enable them to develop the skills needed for successful study of HSC Ancient History.




New Century Maths 12


Book Description

The new Mathematics General syllabus describes two pathways that start in Year 11. Even though both pathways share a common Preliminary course, students taking each pathway have specific learning needs, so we have published two levels of text for both Years 11 and 12. First published in 2001 and revised in 2010, this book has been revised again for the new Mathematics General course beginning in NSW in 2013. This book caters for the Mathematics General 2 HSC course in Year 12, an updated version of the General Mathematics course. It is designed for students heading towards an HSC exam, an ATAR and university studies. This book includes access to the NelsonNet portal of resources and an interactive NelsonNetBook. Select Bonus Resource Downloads to access the PowerPoint presentation a Exploring the new Mathematics General Syllabusa and a summary of course changes written by series editor Robert Yen.