The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities

By William Dunham
Publisher: Wiley, Pages: 314, Date: 1994-07-28,
13.91mb djvu


Description: "If you want to encourage anyone's interest in math, get them The Mathematical Universe...it is enchanting to read. "––New Scientist "A fascinating collection of essays that touch every facet of the history of mathematics, this is sure to be one of the largest of the crown jewels of popular mathematics."––Journal of Recreational Mathematics

This engaging excursion from the acclaimed author of Journey Through Genius offers a rare profile of the great proofs, conundrums, disputes, and solutions that have shaped the world of mathematics. Alphabetically arranged from Arithmetic to Zero, this tour chances upon everything from the antics of the battling Bernoulli brothers to the wonders of Fibonacci series to the quandry of Russell's Paradox.

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PDF For TOEFL iBT: The Official ETS Study Guide

 By Educational Testing Service
Publisher: McGraw-Hill ,Pages: 373
Date: 2005-11-21, ISBN : 007146297X, Type PDF Size 12 Mb

This book was my only source to practice before taking Toefel IBT. I will say the real test is 95% similar with what was presented in the book. I got good scores but reading was terrible because I did not have enough timing practice.

If you want to have an idea of how the test is going to be, you should read the whole book. But if you want to practice, use another source and time yourself as much as possible. Good luck!

* Everything you need to know about the new TOEFL® iBT, straight from the test-makers!
* Hundreds of authentic TOEFL iBT questions and essay topics - so you can study with the real thing
* Companion audio CD with authentic TOEFL listening passages and sample responses to Speaking questions
* In-depth descriptions of the multiple-choice Listening and Reading questions--with valuable tips for answering them
* Detailed information about the Speaking and Writing sections, with scoring information, real student responses - and actual raters' comments
* PLUS: Writer's Handbook for English Language Learners--to help you learn how to write essays in English

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Ebooks PDF For McGraw-Hill's Essential ESL Grammar: A Handbook for Intermediate and Advanced ESL Students

By: Mark Lester, Paperback: 304 pages
Publisher: McGraw-Hill; 1 edition (March 21, 2008)
ISBN-10: 0071496424, PDF size: 2.08 MB

ESL grammar is quite different from the traditional English grammar that Americans get--it uses different terminology, covers different subjects, and it is much more thorough. This becomes evident quickly when nonnative speakers ask native speakers grammar questions about determiners or phrasal verbs, for example.

This book covers all the important subjects in detail, and it would be very good for intermediate/advanced ESL students as well as ESL tutors who need a quick reference guide with concise and clear explanations. The Introductions says "This book is for nonnative speakers of English who have already attained extensive fluency is classroom English. It is designed to help you move to the next level of functioning comfortably in a fully English-speaking environment . . . . The most important feature of this book is the immense amount of information about English grammar in general and about four specific areas of English grammar that are mostly likely to cause difficulties:

*Areas of unusual grammatical complexity.
*Areas of unusual irregularity.
*Areas in which native speakers routinely use special forms in conversational English.
*Areas in which both native and nonnative speakers of English often make mistakes."

The book is divided into three sections: Noun Phrases, Verb Phrases, and Sentences. Like his other books, this one reads well, the explanations are in depth and clear, and there are hundreds of sample sentences to clarify the concepts. (The tone isn't as zaney as his previous books--no example sentences about Senator Fogg or the Seven Dwarves here, sorry.) Lester packs a lot in these 340+ pages.

I keep looking for the One True Grammar Book handed down from on high that covers all contingencies, but there is no such thing. But this book does a pretty good job, considering its affordable price and small size. The truth is that educators need many different weapons in their arsenals, and this is a good one.

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PDF | Teaching Academic ESL Writing: Practical Techniques in Vocabulary and Grammar

By: Eli Hinkel, Paperback: 376 pages
Publisher: Routledge (September 1, 2003)
ISBN-10: 0805838902, PDF : 32.5 Mb

Teaching Academic ESL Writing: Practical Techniques in Vocabulary and Grammar fills an important gap in teacher professional preparation by focusing on the grammatical and lexical features that are essential for all ESL writing teachers and student-writers to know.

The fundamental assumption is that before students of English for academic purposes can begin to successfully produce academic writing, they must have the foundations of language in place--the language tools (grammar and vocabulary) they need to build a text.

This text offers a compendium of techniques for teaching writing, grammar, and lexis to second-language learners that will help teachers effectively target specific problem areas of students' writing.

Based on the findings of current research, including a large-scale study of close to 1,500 non-native speakers' essays, this book works with several sets of simple rules that collectively can make a noticeable and important difference in the quality of ESL students' writing. The teaching strategies and techniques are based on a highly practical principle for efficiently and successfully maximizing learners' language gains.

Part I provides the background for the text and a sample of course curriculum guidelines to meet the learning needs of second-language teachers of writing and second-language writers.

Parts II and III include the key elements of classroom teaching: what to teach and why, possible ways to teach the material in the classroom, common errors found in student prose and ways to teach students to avoid them, teaching activities and suggestions, and questions for discussion in a teacher-training course.

Appendices to chapters provide supplementary word and phrase lists, collocations, sentence chunks, and diagrams that teachers can use as needed.

The book is designed as a text for courses that prepare teachers to work with post-secondary EAP students and as a professional resource for teachers of students in EAP courses.

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