Concrete Math Companion
Title | Concrete Math Companion PDF eBook |
Author | Kenneth E. (Kenneth Eugene) Iverson |
Publisher | |
Pages | 125 |
Release | 1995 |
Genre | |
ISBN | 9781895721102 |
Companion to Concrete Mathematics
Title | Companion to Concrete Mathematics PDF eBook |
Author | Z. A. Melzak |
Publisher | Courier Corporation |
Pages | 722 |
Release | 2007-06-25 |
Genre | Mathematics |
ISBN | 0486457818 |
A two-volume treatment in a single binding, this supplementary text stresses intuitive appeal and ingenuity. It employs physical analogies, encourages problem formulation, and supplies problem-solving methods. 1973 and 1976 editions.
Companion to Concrete Mathematics
Title | Companion to Concrete Mathematics PDF eBook |
Author | Z. A. Melzak |
Publisher | Wiley-Interscience |
Pages | 294 |
Release | 1973 |
Genre | Mathematics |
ISBN |
Concrete Mathematics
Title | Concrete Mathematics PDF eBook |
Author | Ronald L. Graham |
Publisher | Addison-Wesley Professional |
Pages | 811 |
Release | 1994-02-28 |
Genre | Computers |
ISBN | 0134389980 |
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.
The LaTeX Companion
Title | The LaTeX Companion PDF eBook |
Author | Frank Mittelbach |
Publisher | Addison-Wesley Professional |
Pages | 1121 |
Release | 2004-04-23 |
Genre | Computers |
ISBN | 013338764X |
This is the digial version of the printed book (Copyright © 2004). The LaTeX Companion has long been the essential resource for anyone using LaTeX to create high-quality printed documents. This completely updated edition brings you all the latest information about LaTeX and the vast range of add-on packages now available--over 200 are covered! Full of new tips and tricks for using LaTeX in both traditional and modern typesetting, this book will also show you how to customize layout features to your own needs--from phrases and paragraphs to headings, lists, and pages. Inside, you will find: Expert advice on using LaTeX's basic formatting tools to create all types of publications--from memos to encyclopedias In-depth coverage of important extension packages for tabular and technical typesetting, floats and captions, multicolumn layouts--including reference guides and discussions of the underlying typographic and TeXnical concepts Detailed techniques for generating and typesetting contents lists, bibliographies, indexes, etc. Tips and tricks for LaTeX programmers and systems support New to this edition: Nearly 1,000 fully tested examples that illustrate the text and solve typographical and technical problems--all ready to run! An additional chapter on citations and bibliographies Expanded material on the setup and use of fonts to access a huge collection of glyphs, and to typeset text from a wide range of languages and cultures Major new packages for graphics, "verbatim" listings, floats, and page layout Full coverage of the latest packages for all types ofdocuments--mathematical, multilingual, and many more Detailed help on all error messages, including those troublesome low-level TeX errors Like its predecessor, The LaTeX Companion, Second Edition, is an indispensable reference for anyone wishing to productivelyuse LaTeX. Appendix D talks about the TLC2 TeX CD at the end of the book, something you will have a hard time finding in the eBook. The most important content of the CD included with the print book is the full text of the examples. You can find the examples easily on the Internet, for example at http://www.ctan.org/tex-archive/info/examples/tlc2 as well as in many LaTeX installations.
How to Think Like a Mathematician
Title | How to Think Like a Mathematician PDF eBook |
Author | Kevin Houston |
Publisher | Cambridge University Press |
Pages | 341 |
Release | 2009-02-12 |
Genre | Mathematics |
ISBN | 1139477056 |
Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.
The Common Core Mathematics Companion: The Standards Decoded, Grades 3-5
Title | The Common Core Mathematics Companion: The Standards Decoded, Grades 3-5 PDF eBook |
Author | Linda M. Gojak |
Publisher | Corwin Press |
Pages | 321 |
Release | 2015-05-28 |
Genre | Education |
ISBN | 1483381595 |
Your user’s guide to the mathematics standards In the 12 short months since the ELA versions of The Common Core Companions, Grades K-2 and 3-5, burst on the scene, they’ve already assisted tens of thousands of teachers with the day-to-day "what you do." Teachers’ one big criticism: what about mathematics? Luckily NCTM past-president Linda Gojak and mathematics coach Ruth Harbin Miles stepped up to the task. The result? That version of the mathematics standards you wish you had. Page by page, The Common Core Mathematics Companions clearly lay out: The mathematics embedded in each standard for a deeper understanding of the content Examples of what effective teaching and learning look like in the classroom Connected standards within each domain so teachers can better appreciate how they relate Priorities within clusters so teachers know where to focus their time The three components of rigor: conceptual understanding, procedural skills, and applications Vocabulary and suggested materials for each grade-level band with explicit connections to the standards Common student misconceptions around key mathematical ideas with ways to address them Don’t spend another minute poring over the mathematics standards. Gojak and Miles have already done the heavy-lifting for you. Focus instead on how to teach them, using The Common Core Mathematics Companion as your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.