This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems. Nonlinear phenomena are important in many fields, including dynamical systems, fluid dynamics, materials science, statistical physics, and paritcel physics. The general principles developed in this text are applicable in a wide variety of fields in the natural and social sciences. The book will thus be of interest not only to physicists, but also to engineers, chemists, geologists, biologists, economists, and others interested in nonlinear phenomena. Examples and exercises complement the text, and extensive references provide a guide to research in the field.

"An important topic, which is on the boundary between numerical analysis and computer science…. I found the book well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find. Moreover, there are very few books on these topics and they are not recent." –Numerical Algorithms (review of the first edition) This unique book provides concepts and background necessary to understand and build algorithms for computing the elementary functions—sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating-point implementation.

The purpose is not to give "cookbook recipes" that allow one to implement a given function, but rather to provide the reader with tools necessary to build or adapt algorithms for their specific computing environment. This expanded second edition contains a number of revisions and additions, which incorporate numerous new results obtained during the last few years. New algorithms invented since 1997—such as Matula’s bipartite method, another table-based method due to Ercegovac, Lang, Tisserand, and Muller—as well as new chapters on multiple-precision arithmetic and examples of implementation have been added. In addition, the section on correct rounding of elementary functions has been fully reworked, also in the context of new results. Finally, the introductory presentation of floating-point arithmetic has been expanded, with more emphasis given to the use of the fused multiply-accumulate instruction.

The book is an up-to-date presentation of information needed to understand and accurately use mathematical functions and algorithms in computational work and design. Graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find the book a useful reference and resource.

"An important topic, which is on the boundary between numerical analysis and computer science…. I found the book well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find. Moreover, there are very few books on these topics and they are not recent." –Numerical Algorithms (review of the first edition) This unique book provides concepts and background necessary to understand and build algorithms for computing the elementary functions—sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating-point implementation.

The purpose is not to give "cookbook recipes" that allow one to implement a given function, but rather to provide the reader with tools necessary to build or adapt algorithms for their specific computing environment. This expanded second edition contains a number of revisions and additions, which incorporate numerous new results obtained during the last few years. New algorithms invented since 1997—such as Matula’s bipartite method, another table-based method due to Ercegovac, Lang, Tisserand, and Muller—as well as new chapters on multiple-precision arithmetic and examples of implementation have been added. In addition, the section on correct rounding of elementary functions has been fully reworked, also in the context of new results. Finally, the introductory presentation of floating-point arithmetic has been expanded, with more emphasis given to the use of the fused multiply-accumulate instruction.

The book is an up-to-date presentation of information needed to understand and accurately use mathematical functions and algorithms in computational work and design. Graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find the book a useful reference and resource.

You work every day. At home, you work in the kitchen. At school, you sharpen pencils. It may surprise you to learn that you also work during recess and at lunch. Playing and eating are work, too!

About the Authors

Sally M. Walker is the author of many books for young readers. When she isn’t busy writing and doing research for books, Ms. Walker works as a children’s literature consultant. She has taught children’s literature at Northern Illinois University and has given presentations at many reading conferences. She lives in Illinois with her husband and two children.

Roseann Feldmann earned her B.A. degree in biology, chemistry, and education at the College of St. Francis and her M.S. in education from Northern Illinois University. As an educator, she has been a classroom teacher, college instructor, curriculum author, and administrator. She currently lives on six tree-filled acres in Illinois with her husband and two children.

You work every day. At home, you work in the kitchen. At school, you sharpen pencils. It may surprise you to learn that you also work during recess and at lunch. Playing and eating are work, too!

About the Authors

Sally M. Walker is the author of many books for young readers. When she isn’t busy writing and doing research for books, Ms. Walker works as a children’s literature consultant. She has taught children’s literature at Northern Illinois University and has given presentations at many reading conferences. She lives in Illinois with her husband and two children.

Roseann Feldmann earned her B.A. degree in biology, chemistry, and education at the College of St. Francis and her M.S. in education from Northern Illinois University. As an educator, she has been a classroom teacher, college instructor, curriculum author, and administrator. She currently lives on six tree-filled acres in Illinois with her husband and two children.

From Bigfoot and the bonobo to the Central Asian wildman and winged humanoid, this volume presents over 1000 A-to-Z entries on every reported cryptid - i.e. legendary animal unknown to science - from around the world. Each entry traces the history of sightings and known habitats, including details such as: popular name; distribution; etymology; significant encounters; scientific name; present status; physical description; possible identifications; behaviour; variant names; habitat; and sources and secondary entries. Cryptozoological categories include: hominid dwarfs, giants and Neanderthaloids; giant bats and insects; lake and sea monsters; relic elephants; semimythical beasts; and unknown bears, birds, cats, snakes and crocodilians.

From Bigfoot and the bonobo to the Central Asian wildman and winged humanoid, this volume presents over 1000 A-to-Z entries on every reported cryptid - i.e. legendary animal unknown to science - from around the world. Each entry traces the history of sightings and known habitats, including details such as: popular name; distribution; etymology; significant encounters; scientific name; present status; physical description; possible identifications; behaviour; variant names; habitat; and sources and secondary entries. Cryptozoological categories include: hominid dwarfs, giants and Neanderthaloids; giant bats and insects; lake and sea monsters; relic elephants; semimythical beasts; and unknown bears, birds, cats, snakes and crocodilians.

Need to learn MATHEMATICA? Problem SOLVED!

Take full advantage of all the powerful capabilities of Mathematica with help from this hands-on guide. Filled with examples and step-by-step explanations, Mathematica Demystified takes you from your very first calculation all the way to plotting complex fractals.

Using an intuitive format, this book explains the fundamentals of Mathematica up front. Learn how to define functions, create 2-D graphs of functions, write basic programs, and use modules. You'll move on to 3-D graphics, calculus, polynomial, linear, and differential equations, dynamical systems, and fractals. Hundreds of examples with concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.

This self-teaching guide offers:

• A quick way to get up and running on Mathematica
• Coverage of Mathematica 6 and 7
• Tips for avoiding and correcting syntax errors

Need to learn MATHEMATICA? Problem SOLVED!

Take full advantage of all the powerful capabilities of Mathematica with help from this hands-on guide. Filled with examples and step-by-step explanations, Mathematica Demystified takes you from your very first calculation all the way to plotting complex fractals.

Using an intuitive format, this book explains the fundamentals of Mathematica up front. Learn how to define functions, create 2-D graphs of functions, write basic programs, and use modules. You'll move on to 3-D graphics, calculus, polynomial, linear, and differential equations, dynamical systems, and fractals. Hundreds of examples with concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.

This self-teaching guide offers:

• A quick way to get up and running on Mathematica
• Coverage of Mathematica 6 and 7
• Tips for avoiding and correcting syntax errors

The mind is unique in its interest to people from all walks of life. This interest is not new; throughout written history people have observed, described, and pondered strange behaviors and thoughts within themselves and their neighbors. The questions that people have posed about these experiences seem so simple and basic. Why do we seek to please our friends, but experience great difficulty being congenial with our families? Why do we vacillate so often between hopeful fantasy and dark despair? Why do we dream peculiar events and suffer terrifying nightmares? Why do we succumb repeatedly to foolish temptations against our better judgment? Questions such as these have puzzled and intrigued people since ancient times; they persist to challenge us today. Despite their apparent simplicity, they raise some of the most stubborn and absorbing issues facing modern psychological and medical science.

It is the undramatic and mundane problems of how the mind works, the quiet but persistent anxieties we experience, the repetitive ineffectualities and the immobilizing conflicts we encounter day after day that best represent the subject matter of the mind and its difficulties. Milder disorders of emotional and mental life usually are taken for granted as part of human nature: the promising college freshman who cannot settle down to her studies; the high school teacher who is seductive with the young boys in her classes; the father who cannot tolerate disagreement from his children and flies into a rage when they question his authority; the anxiously self-conscious young engineer who sits alone each evening; the mother who binges on food and constantly complains of fatigue or headaches for which no organic disorder can be found; the child who cannot concentrate on his homework.

The mind is unique in its interest to people from all walks of life. This interest is not new; throughout written history people have observed, described, and pondered strange behaviors and thoughts within themselves and their neighbors. The questions that people have posed about these experiences seem so simple and basic. Why do we seek to please our friends, but experience great difficulty being congenial with our families? Why do we vacillate so often between hopeful fantasy and dark despair? Why do we dream peculiar events and suffer terrifying nightmares? Why do we succumb repeatedly to foolish temptations against our better judgment? Questions such as these have puzzled and intrigued people since ancient times; they persist to challenge us today. Despite their apparent simplicity, they raise some of the most stubborn and absorbing issues facing modern psychological and medical science.

It is the undramatic and mundane problems of how the mind works, the quiet but persistent anxieties we experience, the repetitive ineffectualities and the immobilizing conflicts we encounter day after day that best represent the subject matter of the mind and its difficulties. Milder disorders of emotional and mental life usually are taken for granted as part of human nature: the promising college freshman who cannot settle down to her studies; the high school teacher who is seductive with the young boys in her classes; the father who cannot tolerate disagreement from his children and flies into a rage when they question his authority; the anxiously self-conscious young engineer who sits alone each evening; the mother who binges on food and constantly complains of fatigue or headaches for which no organic disorder can be found; the child who cannot concentrate on his homework.

The Earth is made of layers, each with its own unique characteristics and processes that make it a vital part of the planet. The solid inner core, for example, is the farthest layer from the planet's surface, yet it provides much of the heat needed to fuel dramatic surface phenomena such as volcanoes and earthquakes. Likewise, the outer core generates a magnetic field that protects the planet from harmful particles in space. In "Layers of the Earth", learn how scientists use modern tools like seismology, geodesy, computer modeling, and global positioning systems to study the workings of the inner Earth.

The Earth is made of layers, each with its own unique characteristics and processes that make it a vital part of the planet. The solid inner core, for example, is the farthest layer from the planet's surface, yet it provides much of the heat needed to fuel dramatic surface phenomena such as volcanoes and earthquakes. Likewise, the outer core generates a magnetic field that protects the planet from harmful particles in space. In "Layers of the Earth", learn how scientists use modern tools like seismology, geodesy, computer modeling, and global positioning systems to study the workings of the inner Earth.

Oracle database administration is a complex and stressful job. In a series of easy-to-use checklists, this concise pocket reference summarizes the enormous number of tasks an Oracle DBA must perform. Each section takes a step-by-step "cookbook" approach to presenting DBA quick-reference material. The book is divided into three major sections covering the three main areas of an Oracle DBA's responsibilities: database management, installation and configuration, and network management. This book's quick-reference, step-by-step approach takes the stress out of DBA problem solving by making it easy to find the information you need--and find it fast.

About the Author

This pocket reference distills Oracle DBA information from one of the knowledge bases developed by RevealNet, the industry leader in knowledge-based solutions and development tools for Oracle and DB2. The goal of these knowledge bases is to fully anticipate the daily challenges of database professionals. RevealNet's code-formatting technology has become the industry standard for Oracle source code formatting. RevealNet's products help database professionals rapidly apply solutions that save hundreds of programming and research hours every year.

Oracle database administration is a complex and stressful job. In a series of easy-to-use checklists, this concise pocket reference summarizes the enormous number of tasks an Oracle DBA must perform. Each section takes a step-by-step "cookbook" approach to presenting DBA quick-reference material. The book is divided into three major sections covering the three main areas of an Oracle DBA's responsibilities: database management, installation and configuration, and network management. This book's quick-reference, step-by-step approach takes the stress out of DBA problem solving by making it easy to find the information you need--and find it fast.

About the Author

This pocket reference distills Oracle DBA information from one of the knowledge bases developed by RevealNet, the industry leader in knowledge-based solutions and development tools for Oracle and DB2. The goal of these knowledge bases is to fully anticipate the daily challenges of database professionals. RevealNet's code-formatting technology has become the industry standard for Oracle source code formatting. RevealNet's products help database professionals rapidly apply solutions that save hundreds of programming and research hours every year.

"...delightful...accessible to anyone who enjoys or enjoyed high school mathematics. Mathematics teachers from middle school through college will find this book fun to read and useful in the classroom. The authors consider more properties, relationships, and applications of the Fibonacci numbers than most other sources do...I enjoyed reading this book...a valuable addition to the mathematical literature." -- Mathematics Teacher, Vol. 102, No. 1, August 2008

The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature—from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world.

With admirable clarity, math educators Alfred Posamentier and Ingmar Lehmann take us on a fascinating tour of the many ramifications of the Fibonacci numbers. The authors begin with a brief history of their distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal’s triangle, to name a few. Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

About the Author

Alfred S. Posamentier (New York, NY) is dean of the School of Education and professor of mathematics education at The City College of the City University of New York. He has published over 40 books in the area of mathematics and mathematics education, including Pi: A Biography of the World’s Most Mysterious Number and Math Charmers: Tantalizing Tidbits for the Mind. Ingmar Lehmann (Berlin, Germany) is on the mathematics faculty at Humboldt University in Berlin and the coauthor of Pi: A Biography of the World’s Most Mysterious Number.

"...delightful...accessible to anyone who enjoys or enjoyed high school mathematics. Mathematics teachers from middle school through college will find this book fun to read and useful in the classroom. The authors consider more properties, relationships, and applications of the Fibonacci numbers than most other sources do...I enjoyed reading this book...a valuable addition to the mathematical literature." -- Mathematics Teacher, Vol. 102, No. 1, August 2008

The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature—from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world.

With admirable clarity, math educators Alfred Posamentier and Ingmar Lehmann take us on a fascinating tour of the many ramifications of the Fibonacci numbers. The authors begin with a brief history of their distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal’s triangle, to name a few. Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

About the Author

Alfred S. Posamentier (New York, NY) is dean of the School of Education and professor of mathematics education at The City College of the City University of New York. He has published over 40 books in the area of mathematics and mathematics education, including Pi: A Biography of the World’s Most Mysterious Number and Math Charmers: Tantalizing Tidbits for the Mind. Ingmar Lehmann (Berlin, Germany) is on the mathematics faculty at Humboldt University in Berlin and the coauthor of Pi: A Biography of the World’s Most Mysterious Number.

Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric figure with an infinitely large perimeter, yet with a finite area. This is an example of the kind of mathematical puzzles that this book addresses.

The Fractal Geometry of Nature is a mathematics text. But buried in the deltas and lambdas and integrals, even a layperson can pick out and appreciate Mandelbrot's point: that somewhere in mathematics, there is an explanation for nature. It is not a coincidence that fractal math is so good at generating images of cliffs and shorelines and capillary beds.

"A rarity: a picture book of sophisticated contemporary research ideas in mathematics."--Douglas Hofstadter, author of Godel, Escher, Bach
-- Review

Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric figure with an infinitely large perimeter, yet with a finite area. This is an example of the kind of mathematical puzzles that this book addresses.

The Fractal Geometry of Nature is a mathematics text. But buried in the deltas and lambdas and integrals, even a layperson can pick out and appreciate Mandelbrot's point: that somewhere in mathematics, there is an explanation for nature. It is not a coincidence that fractal math is so good at generating images of cliffs and shorelines and capillary beds.

"A rarity: a picture book of sophisticated contemporary research ideas in mathematics."--Douglas Hofstadter, author of Godel, Escher, Bach
-- Review

Sit down at the keyboard and cinch that deal! Press the send button and get the account!

Writing skills are more important than ever in determining business success. They can make the difference between climbing the corporate ladder and getting stuck on a low rung. An e-mail that's clear, concise, and targeted will get more than just a response—it will get results...including your boss's attention!

No matter what the business or sector, top communication skills are in major demand. Why? Because businesses are bogged down with e-mails that are too long, wordy, and unclear. Instead of wasting time rewriting, clarifying, and still miscommunicating, write it once, write it right, and get the job done the first time.

The Executive Guide to E-mail Correspondence will show you how to rapidly transform basic writing skills into global communications expertise. Geared to the computer-toting professional with little patience for instructions and explanations, The Executive Guide to E-mail Correspondence fills the gap between academic training and real-world writing by providing you with a range of E-mail templates that you can instantly adapt to your business needs. Written in a fresh and lively, here's-how style, The Executive Guide to E-mail Correspondence:

- Demonstrates the hallmarks of effective business E-mails. - Features ready-to-use organizational plans. - Presents quick and easy editing techniques. - Furnishes before-and-after editing models. - Focuses on the do's and-don'ts of proficient E-mails. - Supplies practical writing tips and tricks.

The Executive Guide to E-mail Correspondence is a must-have book for anyone who wants to fast-forward his or her career in any business or industry.

About the Author

Dawn Michelle Baude is an international corporate speaker specializing in global communications. She has lectured throughout Europe and Asia to businesses and alumni groups alike. An accomplished professional, she has written copy for Gucci perfumes and feature articles for Reader's Digest and Vogue. She also co-authored a self-help best-seller, Savoir Dire Non (Flammarion 2006). In 2000, she began working as a writing consultant for IBM Corp. She holds an M.A., an M.F.A., a D.E.A. and a Ph.D. in English. A 2005-06 Senior Fulbright Scholar in Creative Writing, she teaches at the American University of Paris.

MacDonald provides a theoretical analysis and review of data on the widespread tendency among certain highly influential, Jewish-dominated intellectual movements to develop radical critiques of gentile culture that are compatible with the continuity of Jewish identification. Particular attention is paid to Boasian anthropology, psychoanalysis, leftist political ideology and behavior, the Frankfurt School of Social Research, and the efforts to influence United States immigration policy. 

About the Author

KEVIN MACDONALD is Professor of Psychology, California State University, Long Beach. He is the author of numerous works in evolutionary biology, including A People that Shall Dwell Alone: Judaism as a Group Evolutionary Strategy (Praeger, 1994) and Separation and Its Discontents: Toward an Evolutionary Theory of Anti-Semitism (Praeger, 1998).

MacDonald provides a theoretical analysis and review of data on the widespread tendency among certain highly influential, Jewish-dominated intellectual movements to develop radical critiques of gentile culture that are compatible with the continuity of Jewish identification. Particular attention is paid to Boasian anthropology, psychoanalysis, leftist political ideology and behavior, the Frankfurt School of Social Research, and the efforts to influence United States immigration policy. 

About the Author

KEVIN MACDONALD is Professor of Psychology, California State University, Long Beach. He is the author of numerous works in evolutionary biology, including A People that Shall Dwell Alone: Judaism as a Group Evolutionary Strategy (Praeger, 1994) and Separation and Its Discontents: Toward an Evolutionary Theory of Anti-Semitism (Praeger, 1998).