More Math Into LaTeX: Edition 4

Springer Science & Business Media
Free sample

"Gratzer’s book is a solution."

-European Mathematical Society Newsletter

For close to two decades, Math into Latex has been the standard introduction and complete reference for writing articles and books containing mathematical formulas. In this fourth edition, the reader is provided with important updates on articles and books. An important new topic is discussed: transparencies (computer projections).

Key features of More Math into Latex, 4th edition:

- Installation instructions for PC and Mac users

- 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 computer projections

From earlier reviews of Math into Latex:

"There are several Latex guides, but this on 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 features."

-Report on Mathematical Physics

"A very helpful and useful tool for al scientists and engineers."

-Review of Astronomical Tools

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About the author

George Grätzer is a Doctor of Science at the University of Manitoba. He authored three other books on LaTex: First Steps in LaTeX and Math into LateX, which is now in its third edition and has sold more than 6000 copies. Math into LaTeX was chosen by the Mathematics Editor of Amazon.com as one of the ten best books of 2000. He has also written many articles and a few books on the subject of lattices and universal algebra. In addition, Grätzer is the founder of the international mathematical journal, Algebra Universalis.

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Additional Information

Publisher
Springer Science & Business Media
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Published on
Jul 14, 2007
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Pages
620
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ISBN
9780387688527
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Best For
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Language
English
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Genres
Computers / Data Processing
Computers / Desktop Applications / Design & Graphics
Computers / Desktop Applications / Desktop Publishing
Computers / Document Management
Computers / Information Theory
Computers / Interactive & Multimedia
Computers / Mathematical & Statistical Software
Computers / Programming / Algorithms
Computers / Programming Languages / General
Computers / Software Development & Engineering / General
Mathematics / Discrete Mathematics
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Content Protection
This content is DRM protected.
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George Grätzer
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 Grätzer, 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
George Grätzer
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 Grätzer'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 “Grätzer’s book General Lattice Theory has become the lattice theorist’s bible.” Mathematical Reviews
George Grätzer
Universal Algebra heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .", 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. Jónsson, 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.

"This book will certainly be, in the years to come, the basic reference to the subject."

--- The American Mathematical Monthly (First Edition)

"In this reviewer's opinion [the author] has more than succeeded in his aim. The problems at the end of each chapter are well-chosen; there are more than 650 of them. The book is especially suitable for self-study, as the author frequently provides ample explanation not only of what he is proving, but also of how and why he is proving it. As a reference work for the specialist or a text for the student, the book is highly recommended."

--- Mathematical Reviews (First Edition)

"Since the first day of its appearance in 1968, this book has been the standard reference in universal algebra, and no book since has reached its quality."

--- Journal of Symbolic Logic (Second Edition)

George Grätzer
This is a self-contained exposition by one of the leading experts in lattice theory, George Grätzer, 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 Grätzer
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 Grätzer, 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
George Grätzer
George Grätzer
This is a self-contained exposition by one of the leading experts in lattice theory, George Grätzer, 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

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