The Art of Computer Programming: Sorting and searching


Author: Donald Ervin Knuth
Publisher: Addison-Wesley Professional
ISBN: 9780201896855
Category: Computers
Page: 780
View: 6814
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Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually. The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e ISBN:0321751043

The MMIX Supplement

Supplement to The Art of Computer Programming Volumes 1, 2, 3 by Donald E. Knuth
Author: Martin Ruckert
Publisher: Addison-Wesley Professional
ISBN: 013399287X
Category: Computers
Page: 224
View: 6353
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The MMIX Supplement: Supplement to The Art of Computer Programming Volumes 1, 2, 3 by Donald E. Knuth “I encourage serious programmers everywhere to sharpen their skills by devouring this book.” –Donald E. Knuth In the first edition of Volume 1 of The Art of Computer Programming, Donald E. Knuth introduced the MIX computer and its machine language: a teaching tool that powerfully illuminated the inner workings of the algorithms he documents. Later, with the publication of his Fascicle 1, Knuth introduced MMIX: a modern, 64-bit RISC replacement to the now-obsolete MIX. Now, with Knuth’s guidance and approval, Martin Ruckert has rewritten all MIX example programs from Knuth’s Volumes 1-3 for MMIX, thus completing this MMIX update to the original classic. Building on contributions from the international MMIXmasters volunteer group, Ruckert fully addresses MMIX basic concepts, information structures, random numbers, arithmetic, sorting, and searching. In the preparation of this supplement, about 15,000 lines of MMIX code were written and checked for correctness; over a thousand test cases were written and executed to ensure the code is of the highest possible quality. The MMIX Supplement should be read side by side with The Art of Computer Programming, Volumes 1-3, and Knuth’s Fascicle 1, which introduces the MMIX computer, its design, and its machine language. Throughout, this supplement contains convenient page references to corresponding coverage in the original volumes. To further simplify the transition to MMIX, Ruckert stayed as close as possible to the original–preserving programming style, analysis techniques, and even wording, while highlighting differences where appropriate. The resulting text will serve as a bridge to the future, helping readers apply Knuth’s insights in modern environments, until his revised, “ultimate” edition of The Art of Computer Programming is available. From Donald E. Knuth’s Foreword: “I am thrilled to see the present book by Martin Ruckert: It is jam-packed with goodies from which an extraordinary amount can be learned. Martin has not merely transcribed my early programs for MIX and recast them in a modern idiom. He has penetrated to their essence and rendered them anew with elegance and good taste. His carefully checked code represents a significant contribution to the art of pedagogy as well as to the art of programming.” Dr. Martin Ruckert maintains the MMIX home page at mmix.cs.hm.edu. He is professor of mathematics and computer science at Munich University of Applied Sciences in Munich, Germany.

Art of Computer Programming, Volume 4, Fascicle 4,The

Generating All Trees--History of Combinatorial Generation
Author: Donald E. Knuth
Publisher: Addison-Wesley Professional
ISBN: 0132702347
Category: Computers
Page: 128
View: 8948
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Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually. The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e ISBN: 0321751043 Art of Computer Programming, Volume 4, Fascicle 4,The: Generating All Trees--History of Combinatorial Generation: Generating All Trees--History of Combinatorial Generation This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science.The three complete volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth's writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his “cookbook” solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books. To begin the fourth and later volumes of the set, and to update parts of the existing three, Knuth has created a series of small books called fascicles, which will be published at regular intervals. Each fascicle will encompass a section or more of wholly new or revised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete. Volume 4, Fascicle 4 This latest fascicle covers the generation of all trees, a basic topic that has surprisingly rich ties to the first three volumes of The Art of Computer Programming. In thoroughly discussing this well-known subject, while providing 124 new exercises, Knuth continues to build a firm foundation for programming. To that same end, this fascicle also covers the history of combinatorial generation. Spanning many centuries, across many parts of the world, Knuth tells a fascinating story of interest and relevance to every artful programmer, much of it never before told. The story even includes a touch of suspense: two problems that no one has yet been able to solve.

The Art of Computer Programming, Volume 4A

Combinatorial Algorithms
Author: Donald E. Knuth
Publisher: Addison-Wesley Professional
ISBN: 0133488853
Category: Computers
Page: 912
View: 1026
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The Art of Computer Programming, Volume 4A: Combinatorial Algorithms, Part 1 Knuth’s multivolume analysis of algorithms is widely recognized as the definitive description of classical computer science. The first three volumes of this work have long comprised a unique and invaluable resource in programming theory and practice. Scientists have marveled at the beauty and elegance of Knuth’s analysis, while practicing programmers have successfully applied his “cookbook” solutions to their day-to-day problems. The level of these first three volumes has remained so high, and they have displayed so wide and deep a familiarity with the art of computer programming, that a sufficient “review” of future volumes could almost be: “Knuth, Volume n has been published.” —Data Processing Digest Knuth, Volume n has been published, where n = 4A. In this long-awaited new volume, the old master turns his attention to some of his favorite topics in broadword computation and combinatorial generation (exhaustively listing fundamental combinatorial objects, such as permutations, partitions, and trees), as well as his more recent interests, such as binary decision diagrams. The hallmark qualities that distinguish his previous volumes are manifest here anew: detailed coverage of the basics, illustrated with well-chosen examples; occasional forays into more esoteric topics and problems at the frontiers of research; impeccable writing peppered with occasional bits of humor; extensive collections of exercises, all with solutions or helpful hints; a careful attention to history; implementations of many of the algorithms in his classic step-by-step form. There is an amazing amount of information on each page. Knuth has obviously thought long and hard about which topics and results are most central and important, and then, what are the most intuitive and succinct ways of presenting that material. Since the areas that he covers in this volume have exploded since he first envisioned writing about them, it is wonderful how he has managed to provide such thorough treatment in so few pages. —Frank Ruskey, Department of Computer Science, University of Victoria The book is Volume 4A, because Volume 4 has itself become a multivolume undertaking. Combinatorial searching is a rich and important topic, and Knuth has too much to say about it that is new, interesting, and useful to fit into a single volume, or two, or maybe even three. This book alone includes approximately 1500 exercises, with answers for self-study, plus hundreds of useful facts that cannot be found in any other publication. Volume 4A surely belongs beside the first three volumes of this classic work in every serious programmer’s library. Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually. The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e ISBN: 0321751043

The Art of Computer Programming, Volume 1, Fascicle 1

MMIX -- A RISC Computer for the New Millennium
Author: Donald E. Knuth
Publisher: Addison-Wesley Professional
ISBN: 0321657314
Category: Computers
Page: 144
View: 507
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Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually. The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e ISBN: 0321751043 Art of Computer Programming, Volume 1, Fascicle 1, The: MMIX -- A RISC Computer for the New Millennium This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The three complete volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth's writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his "cookbook" solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books. To begin the fourth and later volumes of the set, and to update parts of the existing three, Knuth has created a series of small books called fascicles, which will be published t regular intervals. Each fascicle will encompass a section or more of wholly new or evised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete. Volume 1, Fascicle 1 This first fascicle updates The Art of Computer Programming, Volume 1, Third Edition: Fundamental Algorithms, and ultimately will become part of the fourth edition of that book. Specifically, it provides a programmer's introduction to the long-awaited MMIX, a RISC-based computer that replaces the original MIX, and describes the MMIX assembly language. The fascicle also presents new material on subroutines, coroutines, and interpretive routines. Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP),http://msp.org

Mathematics for the Analysis of Algorithms


Author: Daniel H. Greene,Donald E. Knuth
Publisher: Springer Science & Business Media
ISBN: 0817647295
Category: Computers
Page: 132
View: 7971
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This monograph collects some fundamental mathematical techniques that are required for the analysis of algorithms. It builds on the fundamentals of combinatorial analysis and complex variable theory to present many of the major paradigms used in the precise analysis of algorithms, emphasizing the more difficult notions. The authors cover recurrence relations, operator methods, and asymptotic analysis in a format that is concise enough for easy reference yet detailed enough for those with little background with the material.

TEX and METAFONT

New Directions in Typesetting
Author: Donald Ervin Knuth
Publisher: N.A
ISBN: N.A
Category: Computerized typesetting
Page: 105
View: 8123
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3:16 Bible Texts Illuminated


Author: Donald E. Knuth
Publisher: A-R Editions, Inc.
ISBN: 0895792524
Category: Religion
Page: 268
View: 1184
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Art of Computer Programming, Volume 4B, Fascicle 5

The: Mathematical Preliminaries Redux; Backtracking; Dancing Links
Author: Donald E. Knuth
Publisher: Addison-Wesley Professional
ISBN: 9780134671796
Category: Computers
Page: 320
View: 1362
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This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The four volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth's writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his "cookbook" solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books. To continue the fourth and later volumes of the set, and to update parts of the existing volumes, Knuth has created a series of small books called fascicles, which are published at regular intervals. Each fascicle encompasses a section or more of wholly new or revised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete. This fascicle covers three separate topics: Mathematical Preliminaries. Knuth writes that this portion of fascicle 5 "extends the 'Mathematical Preliminaries' of Section 1.2 in Volume 1 to things that I didn't know about in the 1960s. Most of this new material deals with probabilities and expectations of random events; there's also an introduction to the theory of martingales." Backtracking: this section is the counterpart to section 7.2.1 which covered the generation of basic combinatorial patterns. This section covers non-basic patterns, ones where the developer needs to make tentative choices and then may need to backtrack when those choices need revision. Dancing Links: this section is related to 2 above. It develops an important data structure technique that is suitable for backtrack programming described above.

Stable Marriage and Its Relation to Other Combinatorial Problems

An Introduction to the Mathematical Analysis of Algorithms
Author: Donald Ervin Knuth
Publisher: American Mathematical Soc.
ISBN: 0821806033
Category: Mathematics
Page: 74
View: 7025
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``This is a very stimulating book!'' --N. G. de Bruijn ``This short book will provide extremely enjoyable reading to anyone with an interest in discrete mathematics and algorithm design.'' --Mathematical Reviews ``This book is an excellent (and enjoyable) means of sketching a large area of computer science for specialists in other fields: It requires little previous knowledge, but expects of the reader a degree of mathematical facility and a willingness to participate. It is really neither a survey nor an introduction; rather, it is a paradigm, a fairly complete treatment of a single example used as a synopsis of a larger subject.'' --SIGACT News ``Anyone would enjoy reading this book. If one had to learn French first, it would be worth the effort!'' --Computing Reviews The above citations are taken from reviews of the initial French version of this text--a series of seven expository lectures that were given at the University of Montreal in November of 1975. The book uses the appealing theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms. The presentation is elementary, and the topics are interesting to nonspecialists. The theory is quite beautiful and developing rapidly. Exercises with answers, an annotated bibliography, and research problems are included. The text would be appropriate as supplementary reading for undergraduate research seminars or courses in algorithmic analysis and for graduate courses in combinatorial algorithms, operations research, economics, or analysis of algorithms. Donald E. Knuth is one of the most prominent figures of modern computer science. His works in The Art of Computer Programming are classic. He is also renowned for his development of TeX and METAFONT. In 1996, Knuth won the prestigious Kyoto Prize, considered to be the nearest equivalent to a Nobel Prize in computer science.

Concrete Mathematics

A Foundation for Computer Science
Author: Ronald L. Graham,Donald Ervin Knuth,Oren Patashnik
Publisher: Addison-Wesley Professional
ISBN: 9780201558029
Category: Computers
Page: 657
View: 7542
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This book, updated and improved, 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-looking sums, to solve complex recurrence relations, and to discover subtle patterns in data. It is an indispensable text and reference, not only for computer scientists but for all technical professionals in virtually every discipline.

The Art of Computer Programming


Author: Donald Ervin Knuth
Publisher: Pearson Education
ISBN: 0201853922
Category: Computers
Page: 134
View: 3302
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Author's pref. : "the first of a series of updates that I plan to make available at regular intervals as I continue working toward the ultimate editions of The art of computer programming", i.e. supplements to the 3rd ed. in anticipation of the 4th ed.

MMIXware

A RISC Computer for the Third Millennium
Author: Donald E. Knuth
Publisher: Springer
ISBN: 3540466118
Category: Computers
Page: 550
View: 6978
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MMIX is a RISC computer designed by Don Knuth to illustrate machine-level aspects of programming. In the author's book series "The Art of Computer Programming", MMIX replaces the 1960s-style machine MIX. A particular goal in the design of MMIX was to keep its machine language simple, elegant, and easy to learn. At the same time, all of the complexities needed to achieve high performance in practice are taken into account. This book constitutes a collection of programs written in CWEB that make MMIX a virtual reality. Among other utilities, an assembler converting MMIX symbolic files to MMIX objects and two simulators executing the programs in given object files are provided. The latest version of all programs can be downloaded from MMIX's home page. The book provides a complete documentation of the MMIX computer and its assembly language. It also presents mini-indexes, which make the programs much easier to understand. A corrected reprint of the book has been published in August 2014, replacing the version of 1999.

Programming Pearls


Author: Jon Bentley
Publisher: Addison-Wesley Professional
ISBN: 0134498038
Category: Computers
Page: 256
View: 6939
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When programmers list their favorite books, Jon Bentley’s collection of programming pearls is commonly included among the classics. Just as natural pearls grow from grains of sand that irritate oysters, programming pearls have grown from real problems that have irritated real programmers. With origins beyond solid engineering, in the realm of insight and creativity, Bentley’s pearls offer unique and clever solutions to those nagging problems. Illustrated by programs designed as much for fun as for instruction, the book is filled with lucid and witty descriptions of practical programming techniques and fundamental design principles. It is not at all surprising that Programming Pearls has been so highly valued by programmers at every level of experience. In this revision, the first in 14 years, Bentley has substantially updated his essays to reflect current programming methods and environments. In addition, there are three new essays on testing, debugging, and timing set representations string problems All the original programs have been rewritten, and an equal amount of new code has been generated. Implementations of all the programs, in C or C++, are now available on the Web. What remains the same in this new edition is Bentley’s focus on the hard core of programming problems and his delivery of workable solutions to those problems. Whether you are new to Bentley’s classic or are revisiting his work for some fresh insight, the book is sure to make your own list of favorites.

Things a Computer Scientist Rarely Talks about


Author: Donald Ervin Knuth
Publisher: Stanford Univ Center for the Study
ISBN: 9781575863269
Category: Computers
Page: 269
View: 3645
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How does a computer scientist understand infinity? What can probability theory teach us about free will? Can mathematical notions be used to enhance one's personal understanding of the Bible? Perhaps no one is more qualified to address these questions than Donald E. Knuth, whose massive contributions to computing have led others to nickname him "The Father of Computer Science"—and whose religious faith led him to understand a fascinating analysis of the Bible called the 3:16 project. In this series of six spirited, informal lectures, Knuth explores the relationships between his vocation and his faith, revealing the unique perspective that his work with computing has lent to his understanding of God. His starting point is the 3:16 project, an application of mathematical "random sampling" to the books of the Bible. The first lectures tell the story of the project's conception and execution, exploring its many dimensions of language translation, aesthetics, and theological history. Along the way, Knuth explains the many insights he gained from such interdisciplinary work. These theological musings culminate in a surprising final lecture tackling the ideas of infinity, free will, and some of the other big questions that lie at the juncture of theology and computation. Things a Computer Scientist Rarely Talks About, with its charming and user-friendly format—each lecture ends with a question and answer exchange, and the book itself contains more than 100 illustrations—is a readable and intriguing approach to a crucial topic, certain to edify both those who are serious and curious about their faiths and those who look at the science of computation and wonder what it might teach them about their spiritual world. Includes "Creativity, Spirituality, and Computer Science," a panel discussion featuring Harry Lewis, Guy L. Steele, Jr., Manuela Veloso, Donald E. Knuth, and Mitch Kapor.

From Mathematics to Generic Programming


Author: Alexander A. Stepanov,Daniel E. Rose
Publisher: Addison-Wesley Professional
ISBN: 0133491781
Category: Computers
Page: 320
View: 5346
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In this substantive yet accessible book, pioneering software designer Alexander Stepanov and his colleague Daniel Rose illuminate the principles of generic programming and the mathematical concept of abstraction on which it is based, helping you write code that is both simpler and more powerful. If you’re a reasonably proficient programmer who can think logically, you have all the background you’ll need. Stepanov and Rose introduce the relevant abstract algebra and number theory with exceptional clarity. They carefully explain the problems mathematicians first needed to solve, and then show how these mathematical solutions translate to generic programming and the creation of more effective and elegant code. To demonstrate the crucial role these mathematical principles play in many modern applications, the authors show how to use these results and generalized algorithms to implement a real-world public-key cryptosystem. As you read this book, you’ll master the thought processes necessary for effective programming and learn how to generalize narrowly conceived algorithms to widen their usefulness without losing efficiency. You’ll also gain deep insight into the value of mathematics to programming—insight that will prove invaluable no matter what programming languages and paradigms you use. You will learn about How to generalize a four thousand-year-old algorithm, demonstrating indispensable lessons about clarity and efficiency Ancient paradoxes, beautiful theorems, and the productive tension between continuous and discrete A simple algorithm for finding greatest common divisor (GCD) and modern abstractions that build on it Powerful mathematical approaches to abstraction How abstract algebra provides the idea at the heart of generic programming Axioms, proofs, theories, and models: using mathematical techniques to organize knowledge about your algorithms and data structures Surprising subtleties of simple programming tasks and what you can learn from them How practical implementations can exploit theoretical knowledge

The Art of Computer Programming

Introduction to Combinatorial Algorithms and Boolean Functions
Author: Donald E. Knuth
Publisher: Addison-Wesley Professional
ISBN: 9780321534965
Category: Computers
Page: 216
View: 9996
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To begin the fourth and later volume of the set, Knuth has created a series of small books called fascicles, which publish at regular intervals as they are ready. Each fascicle encompasses a section or more of wholly new material. Ultimately, the content of the fascicles will be rolled up into the comprehensive, final version of each volume.

Algorithms in a Nutshell

A Practical Guide
Author: George T. Heineman,Gary Pollice,Stanley Selkow
Publisher: "O'Reilly Media, Inc."
ISBN: 1491912995
Category: Computers
Page: 390
View: 7709
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Creating robust software requires the use of efficient algorithms, but programmers seldom think about them until a problem occurs. This updated edition of Algorithms in a Nutshell describes a large number of existing algorithms for solving a variety of problems, and helps you select and implement the right algorithm for your needs—with just enough math to let you understand and analyze algorithm performance. With its focus on application, rather than theory, this book provides efficient code solutions in several programming languages that you can easily adapt to a specific project. Each major algorithm is presented in the style of a design pattern that includes information to help you understand why and when the algorithm is appropriate. With this book, you will: Solve a particular coding problem or improve on the performance of an existing solution Quickly locate algorithms that relate to the problems you want to solve, and determine why a particular algorithm is the right one to use Get algorithmic solutions in C, C++, Java, and Ruby with implementation tips Learn the expected performance of an algorithm, and the conditions it needs to perform at its best Discover the impact that similar design decisions have on different algorithms Learn advanced data structures to improve the efficiency of algorithms

Parsing Techniques

A Practical Guide
Author: Dick Grune,Ceriel J.H. Jacobs
Publisher: Springer Science & Business Media
ISBN: 0387689540
Category: Computers
Page: 662
View: 8506
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This second edition of Grune and Jacobs’ brilliant work presents new developments and discoveries that have been made in the field. Parsing, also referred to as syntax analysis, has been and continues to be an essential part of computer science and linguistics. Parsing techniques have grown considerably in importance, both in computer science, ie. advanced compilers often use general CF parsers, and computational linguistics where such parsers are the only option. They are used in a variety of software products including Web browsers, interpreters in computer devices, and data compression programs; and they are used extensively in linguistics.

The Science of Programming


Author: David Gries
Publisher: Springer Science & Business Media
ISBN: 1461259835
Category: Computers
Page: 388
View: 3741
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Describes basic programming principles and their step-by- step applications.Numerous examples are included.