Many people start the day with physical exercise but few seem to be so concerned with exercising the most human of organs-the brain. This book provides you with entertaining and challenging mental exercises for every week of the year. Whether you are a high school student eager to sharpen your brain, or someone older who would like to retain your mental agility, you will find your brain getting sharper and more agile as you solve the puzzles in this book. Read a few puzzles every week, think about them, solve them, and you will see the results. And on the way to a sharper mind, you will enjoy every step.

Many people start the day with physical exercise but few seem to be so concerned with exercising the most human of organs-the brain. This book provides you with entertaining and challenging mental exercises for every week of the year. Whether you are a high school student eager to sharpen your brain, or someone older who would like to retain your mental agility, you will find your brain getting sharper and more agile as you solve the puzzles in this book. Read a few puzzles every week, think about them, solve them, and you will see the results. And on the way to a sharper mind, you will enjoy every step.

This is a self-contained exposition by one of the leading experts in lattice theory, George Gratzer, presenting the major results of the last 70 years on congruence lattices of finite lattices, featuring the author's signature Proof-by-Picture method. Key features: * Insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruence-preserving extensions * Contains complete proofs, an extensive bibliography and index, and over 140 illustrations * This new edition includes two new parts on Planar Semimodular Lattices and The Order of Principle Congruences, covering the research of the last 10 years The book is appropriate for a one-semester graduate course in lattice theory, and it is a practical reference for researchers studying lattices. Reviews of the first edition: "There exist a lot of interesting results in this area of lattice theory, and some of them are presented in this book. [This] monograph...is an exceptional work in lattice theory, like all the contributions by this author. ... The way this book is written makes it extremely interesting for the specialists in the field but also for the students in lattice theory. Moreover, the author provides a series of companion lectures which help the reader to approach the Proof-by-Picture sections." (Cosmin Pelea, Studia Universitatis Babes-Bolyai Mathematica, Vol. LII (1), 2007) "The book is self-contained, with many detailed proofs presented that can be followed step-by-step. [I]n addition to giving the full formal details of the proofs, the author chooses a somehow more pedagogical way that he calls Proof-by-Picture, somehow related to the combinatorial (as opposed to algebraic) nature of many of the presented results. I believe that this book is a much-needed tool for any mathematician wishing a gentle introduction to the field of congruences representations of finite lattices, with emphasis on the more 'geometric' aspects." -Mathematical Reviews

George Gratzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Gratzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

George Gratzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Gratzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This first volume is divided into three parts. Part I. Topology and Lattices includes two chapters by Klaus Keimel, Jimmie Lawson and Ales Pultr, Jiri Sichler. Part II. Special Classes of Finite Lattices comprises four chapters by Gabor Czedli, George Gratzer and Joseph P. S. Kung. Part III. Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Gratzer.

"Practical LaTeX" covers the material that is needed for everyday LaTeX documents. This accessible manual is friendly, easy to read, and is designed to be as portable as LaTeX itself.

A short chapter, "Mission Impossible," introduces LaTeX documents and presentations. Read these 30 pages; you then should be able to compose your own work in LaTeX. The remainder of the book delves deeper into the topics outlined in "Mission Impossible" while avoiding technical subjects. Chapters on presentations and illustrations are a highlight, as is the introduction of LaTeX on an iPad.
Students, faculty, and professionals in the worlds of mathematics and technology will benefit greatly from this new, practical introduction to LaTeX. George Gratzer, author of "More Math into LaTeX" (now in its 4th edition) and "First Steps in LaTeX," has been a LaTeX guru for over a quarter of century.
From the reviews of "More Math into LaTeX"
There are several LaTeX guides, but this one wins hands down for the elegance of its approach and breadth of coverage.''

Amazon.com, Best of 2000, Editors Choice
A very helpful and useful tool for all scientists and engineers.''

Review of Astronomical Tools
A novice reader will be able to learn the most essential features of LaTeX sufficient to begin typesetting papers within a few hours of time An experienced TeX user, on the other hand, will find a systematic and detailed discussion of all LaTeX features, supporting software, and many other advanced technical issues.'' Reports on Mathematical Physics"

This book started with "Lattice Theory, First Concepts," in 1971. Then came "General Lattice Theory," First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, "General Lattice Theory" has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so "Lattice Theory: Foundation" focuses on introducing the field, laying the foundation for special topics and applications. "Lattice Theory: Foundation," based on the previous three books, covers the fundamental concepts and results. The main topics are distributivity, congruences, constructions, modularity and semimodularity, varieties, and free products. The chapter on constructions is new, all the other chapters are revised and expanded versions from the earlier volumes. Almost 40 diamond sections, many written by leading specialists in these fields, provide a brief glimpse into special topics beyond the basics. Lattice theory has come a long way... For those who appreciate lattice theory, or who are curious about its techniques and intriguing internal problems, Professor Gratzer's lucid new book provides a most valuable guide to many recent developments. Even a cursory reading should provide those few who may still believe that lattice theory is superficial or naive, with convincing evidence of its technical depth and sophistication. "Bulletin of the American Mathematical Society" Gratzer s book General Lattice Theory has become the lattice theorist s bible. "Mathematical Reviews"

Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jonsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.

For over two decades, this comprehensive manual has been the standard introduction and complete reference for writing articles and books containing mathematical formulas. If the reader requires a streamlined approach to learning LaTeX for composing everyday documents, Gratzer's (c) 2014 Practical LaTeX may also be a good choice. In this carefully revised fifth edition, the Short Course has been brought up to date and reflects a modern and practical approach to LaTeX usage. New chapters have been added on illustrations and how to use LaTeX on an iPad. Key features: An example-based, visual approach and a gentle introduction with the Short Course A detailed exposition of multiline math formulas with a Visual Guide A unified approach to TeX, LaTeX, and the AMS enhancements A quick introduction to creating presentations with formulas From earlier reviews: Gratzer's book is a solution. -European Mathematical Society Newsletter There are several LaTeX guides, but this one wins hands down for the elegance of its approach and breadth of coverage. -Amazon.com, Best of 2000, Editor's choice A novice reader will be able to learn the most essential features of LaTeX sufficient to begin typesetting papers within a few hours of time... An experienced TeX user, on the other hand, will find a systematic and detailed discussion of LaTeX fea tures. -Report on Mathematical Physics A very helpful and useful tool for all scientists and engineers. -Review of Astronomical Tools

"Gr tzer 's 'General Lattice Theory' has become the lattice theorist 's bible. Now we have the second edition, in which the old testament is augmented by a new testament. The new testament gospel is provided by leading and acknowledged experts in their fields. This is an excellent and engaging second edition that will long remain a standard reference." --MATHEMATICAL REVIEWS

Math Into LaTeX is for the mathematician, physicist, engineer, scientist, or technical typist who needs to quickly learn how to write and typeset articles and books containing mathematical formulas, and requires a thorough reference book on all aspects of LaTeX and the AMS packages (the enhancements to LaTeX by the American Mathematical Society).

Key features of Math Into LaTeX

* A simple, example-based, visual approach

* A quick introduction (Part I) allowing readers to type their first articles in only a few hours

* Sample articles to demonstrate the basic structure of LaTeX and AMS articles

* Useful appendices containing mathematical and text symbol tables and information on how to convert from older versions

* A new chapter in the fourth edition, "A Visual Introduction to MikTeX," an open source implementation of TeX and LaTeX for Windows operating systems

* Another new chapter describing amsrefs, a simpler method for formatting references that incorporates and replaces BibTeX data

* This edition also integrates a major revision to the amsart document class, along with updated examples

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From reviews of prior editions:

" meets the needs of mathematicians publishing mathematics "

Zentrallblatt

"This book is truly unique in its focus on getting started fast yet keeping it simple. It is indispensable for the beginner and a handy reference for the experienced user."

Bulletin of the Mathematical Association of India

"I came away with the impression that this book is a very helpful and useful tool for all scientists and engineers."

Reviews of Astronomical Tools

Are you in a hurry? A friend received a letter from the American Mathematical Society (AMS) inform ing him that his paper had been accepted for publication in the Proceedings of the AMS. If he submitted it as a lt-TEX document, it would be published in 20 weeks any other format would take almost a year before the appearance in print of the article. The friend had It-T EX installed on his computer on Friday, borrowed the manu script of this book, and mailed a It-T EX version of his article to the AMS on Monday. First Steps in YI'EX is for the mathematician, physicist, engineer, scientist, or technical typist who needs to quickly learn how to write and typeset articles con taining mathematical formulas. A quick introduction to E\TE)C and the AMS enhancements is provided so that you will be ready to prepare your first article (such as the sample articles on pages 53-54 and 67-69) in only a few hours. Specific topics can be found in the table of contents, the Quick Finder, or the index. While the index is Jt.TEX -oriented, the Quick Finder lists the main topics using terminology common to wordprocessing applications. For example, to find out how to italicize text, look under italics in the Quick Finder. Setting the stage Watch someone type a mathematical article in I!lfE)C. You will see how to * Type the document using a text editor to create a Jt.TE)C source file.