Applied Discrete Structures
Applied Discrete Structures

Author: K. D. Joshi

Publisher: New Age International

Published: 1997

Total Pages: 966

ISBN-13: 9788122408263

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Although This Book Is Intended As A Sequel To Foundations Of Discrete Mathematics By The Same Author, It Can Be Read Independently Of The Latter, As The Relevant Background Needed Has Been Reviewed In Chapter 1. The Subsequent Chapters Deal With Graph Theory (With Applications), Analysis Of Algorithms (With A Detailed Study Of A Few Sorting Algorithms And A Discussion Of Tractability), Linear Programming (With Applications, Variations, Karmarkars Polynomial Time Algorithm, Integer And Quadratic Programming), Applications Of Algebra (To Polyas Theory Of Counting, Galois Theory, Coding Theory Of Designs). A Chapter On Matroids Familiarises The Reader With This Relatively New Branch Of Discrete Mathematics.Even Though Some Of The Topics Are Relatively Advanced, An Attempt Has Been Made To Keep The Style Elementary, So That A Sincere Student Can Read The Book On His Own. A Large Number Of Comments, Exercises, And References Is Included To Broaden The Readers Scope Of Vision. A Detailed Index Is Provided For Easy Reference.

How To English
How To English

Author: Adam David Broughton

Publisher:

Published: 2019-07-10

Total Pages: 344

ISBN-13: 9781076408068

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Teachers are obsessed with telling you what to learn. The problem is, nobody teaches you how to learn. This is all about to change. In his new book, How To English, Adam David Broughton shares a revolutionary and powerful system that teaches you exactly how to make incredible progress in all aspects of English. In How To English, you will learn 62 practical techniques to become an independent learner in 31 days, and everything you will ever need to get the level you've always wanted in English and enjoy the process. How to master English fluency How to listen perfectly in English How to stop making mistakes in English How to improve your pronunciation How to expand your vocabulary in English How to have perfect English grammar How to stay motivated, be disciplined and create a habit ...and 55 other amazing techniques. Everyone knows that it's not what you do in class that determines your progress in English, it's what you do when you are not in class. However, English learners often don't know what to do. As a result, at some point, every English learner stops making progress. Then they get frustrated. How To English is the antidote to this frustration. When you learn how to learn English, you never need to worry about what you learn in English.

B2 First (FCE) 3800 English Vocabulary B2 中高级 3800英语词汇 Version 2021
B2 First (FCE) 3800 English Vocabulary B2 中高级 3800英语词汇 Version 2021

Author: DAVID YAO

Publisher: Legoo Mandarin

Published: 2020-06-04

Total Pages: 440

ISBN-13:

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English has six levels within the CEFRL are A1, A2, B1, B2, C1 and C2. CEFRL (Common European Framework of Reference for Languages.)Beginner Level: A1 A2Intermediate Level: B1 B2Advance Level: C1 C2. With these levels, you can easily work out your ability and assess your progress. The vocabulary in the book is arranged in alphabetical order. Refer to Oxford Dictionary, Cambridge Dictionary and Google and other resources to give bilingual explanations in Chinese and English. If the word has multiple meanings, only select CEFRL covered interpretation. If there are confusing vocabulary, I give bilingual example sentences in Chinese and English to help understanding. Beginner Level A1入门级: A1 Vocabulary 780 Beginner Level A2 初级: A2 Vocabulary 1540 Intermediate Level B1 中级: B1 Vocabulary 2800 Intermediate Level B2 中高级: B2 Vocabulary 3800 Advance Level C1 高级: C1 Vocabulary 2100 Advance Leve C2 精通级l: C2 Vocabulary 3000 Expert level 专家级 GRE: GRE Vocabulary 2500 The total vocabulary is about 16800.