## Similar

What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry.

In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.

Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before.

At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Taking on prominent thinkers who argue that music is nothing more than an evolutionary accident, Levitin poses that music is fundamental to our species, perhaps even more so than language. Drawing on the latest research and on musical examples ranging from Mozart to Duke Ellington to Van Halen, he reveals:

• How composers produce some of the most pleasurable effects of listening to music by exploiting the way our brains make sense of the world

• Why we are so emotionally attached to the music we listened to as teenagers, whether it was Fleetwood Mac, U2, or Dr. Dre

• That practice, rather than talent, is the driving force behind musical expertise

• How those insidious little jingles (called earworms) get stuck in our head

A Los Angeles Times Book Award finalist, This Is Your Brain on Music will attract readers of Oliver Sacks and David Byrne, as it is an unprecedented, eye-opening investigation into an obsession at the heart of human nature.

This book is an invaluable resource for burgeoning audio engineers. With clear writing and comprehensive illustrations, fundamental concepts of acoustics are explained in easy to understand language. The operating principles of the essential components of a sound system, as well as their use in the design and implementation of the system, are covered in detail. Operational aspects of executing a live performance are also given full treatment.

By providing practical information surrounding the concepts, implementations, and practices central to live sound reinforcement, this book sets the foundation upon which to build and move forward with confidence.

This is the first in a series of digital audio-engineering books written by Wick van den Belt, who used to be head-lecturer on various audio engineering courses.

This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms.

Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.

The translation-only edition of this preeminent work is truly accessible for today's scientists, scholars, and students.

From the author of How the Universe Got Its Spots and A Madman Dreams of Turing Machines, the epic story of the scientific campaign to record the soundtrack of our universe.

Black holes are dark. That is their essence. When black holes collide, they will do so unilluminated. Yet the black hole collision is an event more powerful than any since the origin of the universe. The profusion of energy will emanate as waves in the shape of spacetime: gravitational waves. No telescope will ever record the event; instead, the only evidence would be the sound of spacetime ringing. In 1916, Einstein predicted the existence of gravitational waves, his top priority after he proposed his theory of curved spacetime. One century later, we are recording the first sounds from space, the soundtrack to accompany astronomy’s silent movie.

In Black Hole Blues and Other Songs from Outer Space, Janna Levin recounts the fascinating story of the obsessions, the aspirations, and the trials of the scientists who embarked on an arduous, fifty-year endeavor to capture these elusive waves. An experimental ambition that began as an amusing thought experiment, a mad idea, became the object of fixation for the original architects—Rai Weiss, Kip Thorne, and Ron Drever. Striving to make the ambition a reality, the original three gradually accumulated an international team of hundreds. As this book was written, two massive instruments of remarkably delicate sensitivity were brought to advanced capability. As the book draws to a close, five decades after the experimental ambition began, the team races to intercept a wisp of a sound with two colossal machines, hoping to succeed in time for the centenary of Einstein’s most radical idea. Janna Levin’s absorbing account of the surprises, disappointments, achievements, and risks in this unfolding story offers a portrait of modern science that is unlike anything we’ve seen before.

From the Hardcover edition.

This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms.

Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.

The illuminating Guide to Newton's Principia by I. Bernard Cohen makes this preeminent work truly accessible for today's scientists, scholars, and students.

Physicist Dave Goldberg speeds across space, time and everything in between showing that our elegant universe—from the Higgs boson to antimatter to the most massive group of galaxies—is shaped by hidden symmetries that have driven all our recent discoveries about the universe and all the ones to come.

Why is the sky dark at night? If there is anti-matter, can there be anti-people? Why are past, present, and future our only options? Saluting the brilliant but unsung female mathematician Emmy Noether as well as other giants of physics, Goldberg answers these questions and more, exuberantly demonstrating that symmetry is the big idea—and the key to what lies ahead.

From the Trade Paperback edition.

Sitting on the beach on a sunny summer day, we enjoy the steady advance and retreat of the waves. In the water, enthusiastic waders jump and shriek with pleasure when a wave hits them. But where do these waves come from? How are they formed and why do they break on the shore? In Waves, Fredric Raichlen traces the evolution of waves, from their generation in the deep ocean to their effects on the coast. He explains, in a way that is readily understandable to nonscientists, both the science of waves themselves and the technology that can be used to protect us against their more extreme forms, including hurricanes and tsunamis.

After offering a basic definition of waves and explaining the mechanics of wind-wave generation, Raichlen describes how waves travel, how they shoal (rise), how they break, and how they transform in other ways. He goes on to describe, among other things, the complicated sun-Earth-moon combinations that create astronomical tides (the high and low tides that occur daily and predictably); the effects of waves on the beach, including rip currents and beach erosion, and on harbors and shipping; and the building of breakwaters to protect harbors and bays. He discusses hurricanes, storm surges, and hurricane-generated waves. He offers a brief history of tsunamis, including Sumatra's in 2004 and Japan's in 2011, and explains the mechanisms that generate them (including earthquakes, landslides, and volcanoes).

Waves can be little ripples that lap peacefully at the shore or monstrous tsunamis that destroy everything in their paths. Describing the science underlying this astonishing variety, Waves offers a different kind of beach reading.

"Such a richness of topics and amazing splendor of illustrations!" — Mathematics Magazine

"An inviting exposition for a literate but not highly scientific audience." — American Mathematical Monthly

This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. Author Manfred Schroeder — hailed by Publishers Weekly as a modern Lewis Carroll — conveys memorable insights in the form of puns and puzzles that relate abstract mathematics to everyday experience.

Excellent entertainment for readers with a grasp of algebra and some calculus, this book forms a fine university-level introduction to fractal math. Eight pages of color images clarify the text, along with numerous black-and-white illustrations.

"Now a new laboratory bible for optics researchers has joined the list: it is Phil Hobbs's Building Electro-Optical Systems: Making It All Work."

—Tony Siegman, Optics & Photonics News

Building a modern electro-optical instrument may be the most interdisciplinary job in all of engineering. Be it a DVD player or a laboratory one-off, it involves physics, electrical engineering, optical engineering, and computer science interacting in complex ways. This book will help all kinds of technical people sort through the complexity and build electro-optical systems that just work, with maximum insight and minimum trial and error.

Written in an engaging and conversational style, this Second Edition has been updated and expanded over the previous edition to reflect technical advances and a great many conversations with working designers. Key features of this new edition include:

Expanded coverage of detectors, lasers, photon budgets, signal processing scheme planning, and front ends Coverage of everything from basic theory and measurement principles to design debugging and integration of optical and electronic systems Supplementary material is available on an ftp site, including an additional chapter on thermal Control and Chapter problems highly relevant to real-world design Extensive coverage of high performance optical detection and laser noise cancellationEach chapter is full of useful lore from the author's years of experience building advanced instruments. For more background, an appendix lists 100 good books in all relevant areas, introductory as well as advanced. Building Electro-Optical Systems: Making It All Work, Second Edition is essential reading for researchers, students, and professionals who have systems to build.

It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived.

As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations.

A comprehensive and comprehensible introduction to the subject, this book is ideal for undergraduates in computer science, physicists, communications engineers, workers involved in artificial intelligence, biologists, psychologists, and physiologists.

Dr. Olson discusses the nature of sound waves; explains the division of sound into scale patterns and the traditional method of notating them; describes the individual characteristics of all musical instruments currently in use (including the human voice); shows how the ears hear; discusses concert hall and recording studio acoustics, amplification systems, etc; describes the elements of sound reproduction systems from the telephone to the stereo record player; and concludes with a new chapter on the production, development, and potentialities of electronic music.

Under these broad headings, readers will find a close analysis of the way in which a violin produces sound; descriptions of carbon, crystal, dynamic, velocity, and unidirectional microphones; a comparison of the relative absorbency of 22 acoustic materials, building materials, and objects; a description of how music can be produced by a digital computer; and much, much more. Conductors will find suggestions on positioning their orchestras; performers will understand the dynamics of their instruments; recording engineers and acousticians will discover a remarkably comprehensive reference work; and music teachers, students, physicists, and enthusiasts in general will find easy access to a vast wealth of information.

Three millennia ago, the Greek philosopher Zeno constructed a series of logical paradoxes to prove that motion is impossible. Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno?s Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs?but through it all, the paradox of motion remains.

A unified account of the field rather than a description of parallel methods, the text's main thematic approaches include the self-consistent field and its generalizations, perturbation theory and the use of Feynman diagrams, and the use of Green functions to describe excitations of a many-body system. The primary emphasis is on the theories of atomic nuclei, the electron gas, superconductivity, and liquid helium three. A familiarity with the principles of nonrelativistic quantum mechanics and statistical mechanics is assumed, but a detailed knowledge of nuclear and solid state physics is unnecessary.

This is an ideal reference for professionals in the public and private power service sectors such as engineers, lawyers, systems specialists, economists, financial analysts, policy analysts, and applied mathematicians.

- Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis.

This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

Serving both as a text for students in engineering departments and as a reference for practicing engineers, this book focuses on electroacoustics, analyzing the behavior of transducers with the aid of electro-mechano-acoustical circuits. Assuming knowledge of electrical circuit theory, it starts by guiding readers through the basics of sound fields, the laws governing sound generation, radiation, and propagation, and general terminology. It then moves on to examine:

Microphones (electrostatic and electromagnetic), electrodynamic loudspeakers, earphones, and hornsLoudspeaker enclosures, baffles, and waveguidesMiniature applications (e.g., MEMS in I-Pods and cellphones)Sound in enclosures of all sizes, such as school rooms, offices, auditoriums, and living roomsNumerical examples and summary charts are given throughout the text to make the material easily applicable to practical design. It is a valuable resource for experimenters, acoustical consultants, and to those who anticipate being engineering designers of audio equipment.

An update for the digital age of Leo Beranek's classic 1954 book AcousticsProvides detailed acoustic fundamentals, enabling better understanding of complex design parameters, measurement methods, and dataExtensive appendices cover frequency-response shapes for loudspeakers, mathematical formulas, and conversion factors- Fully searchable CD that puts information at your

fingertips included with text

- Most up to date listing of integrals, series and

products

- Provides accuracy and efficiency in work

The focus throughout is rooted in the mathematical fundamentals, but the text also investigates a number of interesting applications, including a section on computer graphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, many visuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book.

Brief yet precise and rigorous, this work is an ideal choice for a one-semester course in linear algebra targeted primarily at math or physics majors. It is a valuable tool for any professor who teaches the subject.

Addressing questions most ocean visitors have had and offering new ones for our consideration, The Science of Ocean Waves explains in accessible language how waves are formed, how they move, how they become huge and destructive, and how they're being studied now for clues that will help us plan for the future.

Devoting chapters to wind, tides, currents, breakers, tsunamis, forecasting, renewable energy, and El Niño—as well as discussing the gentler properties of ocean waves which inspire us and offer opportunities for relaxation and recreation—Zirker explores the physical factors that create waves.

Drawing on some of the recent storms that have devastated entire regions—such as Hurricane Katrina, the tsunami launched by the 2004 Sumatran earthquake, and the great tsunami that crushed the shore of Japan in 2011—Zirker explains the forces that cause these monster waves and reveals the toll they take on human lives.

Enhanced by dozens of illustrations and a comprehensive glossary, The Science of Ocean Waves will fascinate anyone curious about the science behind the headlines.

Praise for J. B. Zirker

"Scientists know their stuff but are rarely good storytellers, whereas good storytellers rarely possess the necessary sweeping command of a scientific discipline. Zirker is that rare animal who can both communicate the most demanding technical detail and make it accessible."— New Scientist

-- Chris AlmondStarting with the recent development of modeling of solvation effect using the Polarizable Continuum Model (PCM) at the Coupled-Cluster level and the effects of extreme pressure on the molecular properties within the PCM framework, this volume focuses on the association/dissociation of ion pairs in binary solvent mixtures, application of graph theory to determine the all possible structures and temperature-dependent distribution of water cluster, generalized-ensemble algorithms for the complex molecular simulation, QM/MD based investigation of formation of different nanostructures under nonequilibrium conditions, quantum mechanical study of chemical reactivity of carbon nanotube, covalent functionalization of single walled-carbon nanotube, designing of functional materials, importance of long-range dispersion interaction to study nanomaterials, recent advances in QSPR/QSAR analysis of nitrocompounds, prediction of physico-chemical properties of energetic materials, electronic structure and properties of 3d transition metal dimers, the s-bond activation reactions by transition metal complexes, theoretical modeling of environmental mercury depletion reaction, organolithium chemistry and computational modeling of low-energy electron induced DNA damage.

Practical Aspects of Computational Chemistry II: An Overview of the Last Two Decades and Current Trends is aimed at theoretical and computational chemists, physical chemists, materials scientists, and particularly those who are eager to apply computational chemistry methods to problems of chemical and physical importance. This book provides valuable information to undergraduate, graduate, and PhD students as well as to established researchers.

Practical Aspects of Computational Chemistry II: An Overview of the Last Two Decades and Current Trends is aimed at theoretical and computational chemists, physical chemists, materials scientists, and particularly those who are eager to apply computational chemistry methods to problems of chemical and physical importance. This book provides valuable information to undergraduate, graduate, and PhD students as well as to established researchers.

This volume poses (and answers) important questions of interest to the computational chemistry community and beyond. What is the historical background of the “Structural Chemistry”? Is there any way to avoid the problem of intruder state in the multi-reference formulation? What is the recent progress on multi-reference coupled cluster theory? Starting with a historical account of structural chemistry, the book focuses on the recent advances made in promising theories such as many body Brillouin-Wigner theory, multireference state-specific coupled cluster theory, relativistic effect in chemistry, linear and nonlinear optical properties of molecules, solution to Kohn-Sham problem, electronic structure of solid state materials, development of model core potential, quantum Monte Carlo method, nano and molecular electronics, dynamics of photodimerization and excited states, intermolecular interactions, hydrogen bonding and non-hydrogen bonding interactions, conformational flexibility, metal cations in zeolite catalyst and interaction of nucleic acid bases with minerals.

Practical Aspects of Computational Chemistry I: An Overview of the Last Two Decades and Current Trends is aimed at theoretical and computational chemists, physical chemists, materials scientists, and particularly those who are eager to apply computational chemistry methods to problem of chemical and physical importance. This book will provide valuable information to undergraduate, graduate, and PhD students as well as to established researchers.

The next few years will see a major revolution in the technology used to deliver television services as the world moves from analog to digital television. Presently, all existing textbooks dealing with analog television standards (NTSC and PAL) are becoming obsolete as the prevalence of digital technology continues to become more widespread. Now, Digital Television: Technology and Standards fills the need for a single, authoritative textbook that covers all aspects of digital television technology.

Divided into three main sections, Digital Television explores:

*

Video: MPEG-2, which is at the heart of all digital video broadcasting services

*

Audio: MPEG-2 Advanced Audio Coding and Dolby AC-3, which will be used internationally in digital video broadcasting systems

*

Systems: MPEG, modulation transmission, forward error correction, datacasting, conditional access, and digital storage media command and control

Complete with tables, illustrations, and figures, this valuable textbook includes problems and laboratories at the end of each chapter and also offers a number of exercises that allow students to implement the various techniques discussed using MATLAB. The authors' coverage of implementation and theory makes this a practical reference for professionals, as well as an indispensable textbook for advanced undergraduates and graduate-level students in electrical engineering and computer science programs.

This book is designed to provide contemporary readers with an understanding of the emerging high-speed signal integrity issues that are creating roadblocks in digital design. Written by the foremost experts on the subject, it leverages concepts and techniques from non-related fields such as applied physics and microwave engineering and applies them to high-speed digital design—creating the optimal combination between theory and practical applications.

Following an introduction to the importance of signal integrity, chapter coverage includes:

Electromagnetic fundamentals for signal integrity Transmission line fundamentals Crosstalk Non-ideal conductor models, including surface roughness and frequency-dependent inductance Frequency-dependent properties of dielectrics Differential signaling Mathematical requirements of physical channels S-parameters for digital engineers Non-ideal return paths and via resonance I/O circuits and models Equalization Modeling and budgeting of timing jitter and noise System analysis using response surface modelingEach chapter includes many figures and numerous examples to help readers relate the concepts to everyday design and concludes with problems for readers to test their understanding of the material. Advanced Signal Integrity for High-Speed Digital Designs is suitable as a textbook for graduate-level courses on signal integrity, for programs taught in industry for professional engineers, and as a reference for the high-speed digital designer.

Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure.

The book is arranged in four sections, devoted to realizing the universal principle force equals curvature:

Part I: The Euclidean Manifold as a Paradigm

Part II: Ariadne's Thread in Gauge Theory

Part III: Einstein's Theory of Special Relativity

Part IV: Ariadne's Thread in Cohomology

For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum.

Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).

In this simple, descriptive treatment of Tesla's work:

- We start with the analysis of Tesla's experiment in his US patent 787412, providing explanations for his lower bounds, requirements, and superluminal speeds. Modes of operation of Tesla transformer are analyzed, and the true nature of the so-called Tesla-wave explained, considering what renders it to be the most significant technological discovery to date.

- We recognize that the very discovery of radio is a witness to the physical existence of invisible, exclusively 3-dimensional worlds, and spherical potential waves in a fully three-dimensional imaginary space are a fundamental phenomenon and physical reality.

- We progress to discuss implications and applications, and claim that properly constructed radio waves do not travel through our visible domain, allowing for efficient wireless energy transfer irrespective of distance.

- Finally, concentrated in one of the last of the 12 chapters, we present a concise mathematical treatment based on Maxwell's equations in characterizing the Tesla effect.

Redefining the thinking outside-the-box and challenging the state of the art in modern physics, I submit this innovation to your careful scrutiny. This descriptive work is accessible to any reader, including physics and mathematics scholars skilled in the art. The combined experience in the above treatment yields a novel, simple, yet comprehensive view of the spatial construction of the universe, above and beyond the everyday three-dimensional reality experienced by physical senses.

No sensationalist descriptions involving time travel, weapons of global destruction, Soviet military research, mind alteration, age reversal, UFOs, aliens, and a myriad of other manufactured and unrelated topics, are contained in this text. No strings, tensors, elementary particles, or any of the traditional special relativity effects are associated with Tesla waves, and are not mentioned in this text. The most significant problem in theoretical interpretation of Tesla's ideas to date - was the avoidance of the most obvious solution.

Read this flagship book, and discover that the universe is so small that we are all intimately connected through a countably infinite set of pathways of ever decreasing length, and that it is yet so large, that it escapes our senses.

Universe is a lattice of countably infinitely many, mutually embedded, distinct, experientially equivalent, fully-fledged three-dimensional worlds, with all corresponding lengths ratio of Pi/2. Illustrated in C^3 , universe is simply a sphere of radius zero.

Laser Fabrication and Machining of Materials introduces readers to the fundamental properties and physical phenomena of laser machining and its applications on the macro, micro, and nano scales. Examples of existing, emerging, and potential techniques are discussed, giving students and practicing engineers alike the opportunity to expand their use of lasers in such disciplines as mechanical processes, electronics, materials, and manufacturing.

The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration.

This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science.

Clarifies each important concept to students through the use of a simple example and often an illustrationProvides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple)Shows how symbolic computing enables solving a broad range of practical problems

Key Features:

Acts as a timely introduction for researchers, graduate students and engineers who want to design and deploy subband adaptive filters in their research and applications. Bridges the gaps between two distinct domains: adaptive filter theory and multirate signal processing. Uses a practical approach through MATLAB®-based source programs on the accompanying CD. Includes more than 100 M-files, allowing readers to modify the code for different algorithms and applications and to gain more insight into the theory and concepts of subband adaptive filters.Subband Adaptive Filtering is aimed primarily at practicing engineers, as well as senior undergraduate and graduate students. It will also be of interest to researchers, technical managers, and computer scientists.

In addition to the Szego and Killip-Simon theorems for orthogonal polynomials on the unit circle (OPUC) and orthogonal polynomials on the real line (OPRL), Simon covers Toda lattices, the moment problem, and Jacobi operators on the Bethe lattice. Recent work on applications of universality of the CD kernel to obtain detailed asymptotics on the fine structure of the zeros is also included. The book places special emphasis on OPRL, which makes it the essential companion volume to the author's earlier books on OPUC.

Key features include:

* Numerous problems at the end of each chapter to aid development and understanding

* Examples and case studies provided throughout the book in a wide range of applications bring the text to life and place the theory into context

* A set of 60+ MATLAB software m-files allowing the reader to quickly design and apply any of the nonlinear signal processing algorithms described in the book to an application of interest is available on the accompanying FTP site.

Here, you can enjoy Dr. Emoto's captivating water-crystal photographs and text in this unique collection. The possible benefits you may experience include decreased joint and back pain; improved function of the nervous, circulatory, lymphatic, and immune systems; and the release of negative emotions such as anxiety, self-pity, and depression. The combination of images and words in Water Crystal Healing concentrates consciousness as never before, providing a unique experience for healing.

This book explains the basic principles of spectroscopy, including the fundamental optical constraints and all mathematical aspects needed to understand the working principles in detail. It covers the complete theoretical and practical design of standard and Echelle spectrographs. Readers are guided through all necessary calculations, enabling them to engage in spectrograph design. The book also examines data acquisition with CCD cameras and fiber optics, as well as the constraints of specific data reduction and possible sources of error. In closing it briefly highlights some main aspects of the research on massive stars and spectropolarimetry as an extension of spectroscopy. The book offers a comprehensive introduction to spectroscopy for students of physics and astronomy, as well as a valuable resource for amateur astronomers interested in learning the principles of spectroscopy and spectrograph design.

A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use.

This revised Fourth Edition includes:

Modernized terminology

Group theoretic methods brought together and expanded in a new chapter

An entirely new chapter on nonlinear mathematical physics

Significant revisions of the differential equations and complex variables chapters

Many new or improved exercises

Forty new or improved figures

An update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica(r), among others