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An Introduction to the Theory of the Boltzmann Equation (Dover Books On Physics Series)
by Stewart HarrisBoltzmann's equation (or Boltzmann-like equations) appears extensively in such disparate fields as laser scattering, solid-state physics, nuclear transport, and beyond the conventional boundaries of physics and engineering, in the fields of cellular proliferation and automobile traffic flow. This introductory graduate-level course for students of physics and engineering offers detailed presentations of the basic modern theory of Boltzmann’s equation, including representative applications using both Boltzmann’s equation and the model Boltzmann equations developed within the text. It emphasizes physical aspects of the theory, and it represents a practical resource for researchers and other professionals. The problems following each chapter are intended as learning examples, and they frequently extend and generalize the text material. Additional editorial features include a historical introduction, references, and subject and author indexes. 1971 edition.
An Introduction to the Topological Derivative Method (SpringerBriefs in Mathematics)
by Antonio André Novotny Jan SokołowskiThis book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis. This new concept in shape optimization has applications in many different fields such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena. In particular, the topological derivative is used here in numerical methods of shape optimization, with applications in the context of compliance structural topology optimization and topology design of compliant mechanisms. Some exercises are offered at the end of each chapter, helping the reader to better understand the involved concepts.
An Introductory Course in Computational Neuroscience (Computational Neuroscience Series)
by Paul MillerA textbook for students with limited background in mathematics and computer coding, emphasizing computer tutorials that guide readers in producing models of neural behavior. This introductory text teaches students to understand, simulate, and analyze the complex behaviors of individual neurons and brain circuits. It is built around computer tutorials that guide students in producing models of neural behavior, with the associated Matlab code freely available online. From these models students learn how individual neurons function and how, when connected, neurons cooperate in a circuit. The book demonstrates through simulated models how oscillations, multistability, post-stimulus rebounds, and chaos can arise within either single neurons or circuits, and it explores their roles in the brain. The book first presents essential background in neuroscience, physics, mathematics, and Matlab, with explanations illustrated by many example problems. Subsequent chapters cover the neuron and spike production; single spike trains and the underlying cognitive processes; conductance-based models; the simulation of synaptic connections; firing-rate models of large-scale circuit operation; dynamical systems and their components; synaptic plasticity; and techniques for analysis of neuron population datasets, including principal components analysis, hidden Markov modeling, and Bayesian decoding. Accessible to undergraduates in life sciences with limited background in mathematics and computer coding, the book can be used in a “flipped” or “inverted” teaching approach, with class time devoted to hands-on work on the computer tutorials. It can also be a resource for graduate students in the life sciences who wish to gain computing skills and a deeper knowledge of neural function and neural circuits.
An Introductory Course of Particle Physics
by Palash B. PalFor graduate students unfamiliar with particle physics, An Introductory Course of Particle Physics teaches the basic techniques and fundamental theories related to the subject. It gives students the competence to work out various properties of fundamental particles, such as scattering cross-section and lifetime. The book also gives a lucid summary
An Introductory Guide to Computational Methods for the Solution of Physics Problems (Lecture Notes in Physics #955)
by George Rawitscher Victo dos Santos Filho Thiago Carvalho PeixotoThis monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for any such drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solution of integral equations.The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting.
An Introductory Path to Quantum Theory: Using Mathematics to Understand the Ideas of Physics
by Stephen Bruce SontzSince the 17th century, physical theories have been expressed in the language of mathematical equations. This introduction to quantum theory uses that language to enable the reader to comprehend the notoriously non-intuitive ideas of quantum physics. The mathematical knowledge needed for using this book comes from standard undergraduate mathematics courses and is described in detail in the section Prerequisites. This text is especially aimed at advanced undergraduate and graduate students of mathematics, computer science, engineering and chemistry among other disciplines, provided they have the math background even though lacking preparation in physics. In fact, no previous formal study of physics is assumed.
An Invariant Approach to Statistical Analysis of Shapes (Chapman & Hall/CRC Interdisciplinary Statistics)
by Subhash R. Lele Joan T. RichtsmeierNatural scientists perceive and classify organisms primarily on the basis of their appearance and structure- their form , defined as that characteristic remaining invariant after translation, rotation, and possibly reflection of the object. The quantitative study of form and form change comprises the field of morphometrics. For morphometrics to suc
An Invitation to Cognitive Science, Volume 4 (2nd edition)
by Daniel N. OshersonThe 4th volume of the series, which covers Methods, Models, and Conceptual Issues.
An Invitation to Cognitive Science, Volumes 1-3 (2nd edition)
by Edward E. Smith Daniel N. OshersonThe first three volumes of a four-volume introduction to contemporary cognitive science. The volumes are self-contained, and can be used individually in a variety of advanced undergraduate and graduate courses.
An Invitation to Mathematical Biology
by David G Costa Paul J SchulteThe textbook is designed to provide a "non-intimidating" entry to the field of mathematical biology. It is also useful for those wishing to teach an introductory course. Although there are many good mathematical biology texts available, most books are too advanced mathematically for most biology majors. Unlike undergraduate math majors, most biology major students possess a limited math background. Given that computational biology is a rapidly expanding field, more students should be encouraged to familiarize themselves with this powerful approach to understand complex biological phenomena. Ultimately, our goal with this undergraduate textbook is to provide an introduction to the interdisciplinary field of mathematical biology in a way that does not overly terrify an undergraduate biology major, thereby fostering a greater appreciation for the role of mathematics in biology
An Invitation to Metamaterials: Theory and Applications (Lecture Notes in Physics #1037)
by Didier FelbacqThis book provides a thorough introduction to the fundamental principles and cutting-edge applications of metamaterials. It offers a balanced perspective, combining theoretical, experimental, and computational approaches. Topics covered include rapidly evolving areas such as metasurfaces, quantum metamaterials, and nonlinear metamaterials. The book also extends its scope beyond optics to explore applications in acoustics, thermal science, mechanics, and even seismology. A dedicated chapter discusses topological insulators, providing detailed insights into this advanced topic. The text is designed for advanced graduate students and early career researchers in the field of metamaterials. Specialists in the field will also benefit from the book's presentation of new developments and innovative approaches. Two chapters focus on advanced mathematical methods, including fiber bundles, Chern numbers, pseudodifferential operators, and scattering theory. These sections are crafted to be reasonably self-contained, with references provided for readers who wish to explore these topics further.
An Invitation to Quantum Field Theory (Lecture Notes in Physics #839)
by Luis Alvarez-Gaumé Miguel A. Vázquez-MozoThis book provides an introduction to Quantum Field Theory (QFT) at an elementary level--with only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main ideas being more important than the presentation of the typically very technical mathematical details necessary to obtain the final results. Special attention is given to the realization of symmetries in particle physics: global and local symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic interactions and the current understanding of the origin of mass, the text enumerates the general features of renormalization theory as well as providing a cursory description of effective field theories and the problem of naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of this text is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of this successful theoretical framework.
An Island Called California
by Elna BakkerBakker’s classic of ecological science now includes three new chapters on Southern California which make the book more useful than ever. Striking new photographs illustrate the diversity of life, climate, and geological formation.
An Object-Oriented Python Cookbook in Quantum Information Theory and Quantum Computing
by M.S. Ramkarthik Pranay BarkatakiThis first-of-a-kind textbook provides computational tools in state-of-the-art OOPs Python that are fundamental to quantum information, quantum computing, linear algebra and one-dimensional spin half condensed matter systems. Over 104 subroutines are included, and the codes are aided by mathematical comments to enhance clarity. Suitable for beginner and advanced readers alike, students and researchers will find this textbook to be a helpful guide and a compendium which they can readily use.Features Includes over 104 codes in OOPs Python, all of which can be used either as a standalone program or integrated with any other main program without any issues. Every parameter in the input, output and execution has been provided while keeping both beginner and advanced users in mind. The output of every program is explained thoroughly with detailed examples. Detailed mathematical commenting is done alongside the code which enhances clarity about the flow and working of the code.
An Obsession With Butterflies: Our Long Love Affair With A Singular Insect
by Sharman Apt RussellButterflies have always served as a metaphor for resurrection and transformation, but as Sharman Apt Russell points out in this lyrical meditation, butterflies are above all objects of obsession. She reveals the logic behind our endless fascination with butterflies and introduces us to the legendary collectors and dedicated scientists who have obsessively catalogued new species of Lepidoptera. A luminous journey through an exotic world of passion and strange beauty, this is a book to be treasured by anyone who has ever experienced the enchantment of butterflies.
An Ocean of Air: Why the Wind Blows and Other Mysteries of the Atmosphere (Read-On)
by Gabrielle WalkerThe science and history of what lies between us and space: “I never knew air could be so interesting.” —Bill Bryson, New York Times bestselling author of The Body: A Guide for OccupantsA flamboyant Renaissance Italian discovers how heavy our air really is (the air filling Carnegie Hall, for example, weighs seventy thousand pounds). A one-eyed barnstorming pilot finds a set of winds that constantly blow five miles above our heads. An impoverished American farmer figures out why hurricanes move in a circle by carving equations with his pitchfork on a barn door. A well-meaning inventor nearly destroys the ozone layer (he also came up with the idea of putting lead in gasoline). A reclusive mathematical genius predicts, thirty years before he’s proven right, that the sky contains a layer of floating metal fed by the glowing tails of shooting stars.We don’t just live in the air; we live because of it. It’s the most miraculous substance on earth, responsible for our food, our weather, our water, and our ability to hear. In this exuberant book, science writer Gabrielle Walker peels back the layers of our atmosphere with the stories of the people who have uncovered its secrets.“A sense of wonder . . . animates Ms. Walker’s high-spirited narrative and speeds it along like a fresh-blowing westerly.” —The New York Times“A fabulous introduction to the world above our heads.” —Daily Mail on Sunday“A lively history of scientists’ and adventurers’ exploration of this important and complex contributor to life on Earth . . . readers will find this informative book to be a breath of fresh air.” —Publishers Weekly
An Old Melody in a New Song: Aesthetics and the Art of Psychology (Theory and History in the Human and Social Sciences)
by Luca TateoThis book explores the relationship between cultural psychology and aesthetics, by integrating the historical, theoretical and phenomenological perspectives. It offers a comprehensive discussion of the history of aesthetics and psychology from an international perspective, with contributions by leading researchers from Serbia, Austria, Portugal, Norway, Denmark, and Brazil. The first section of the book aims at summarizing the debate of where the song comes from. It discusses undeveloped topics, methodological hints, and epistemological questions in the different areas of contemporary psychological sciences. The second section of the book presents concrete examples of case-studies and methodological issues (the new melodies in psychological research) to stimulate further explorations. The book aims to bring art back into psychology, to provide an understanding for the art of psychology. An Old Melody in a New Song will be of interest to advanced students and researchers in the fields of educational and developmental psychology, cultural psychology, history of ideas, aesthetics, and art-based research.
An Omics Perspective on Cancer Research
by William C.S. ChoOmics is an emerging and exciting area in the field of science and medicine. Numerous promising developments have been elucidated using omics (including genomics, transcriptomics, epigenomics, proteomics, metabolomics, interactomics, cytomics and bioinformatics) in cancer research. The development of high-throughput technologies that permit the solution of deciphering cancer from higher dimensionality will provide a knowledge base which changes the face of cancer understanding and therapeutics. This is the first book to provide such a comprehensive coverage of a rapidly evolving area written by leading experts in the field of omics. It complies and details cutting-edge cancer research that covers the broad advances in the field and its application from cancer-associated gene discovery to drug target validation. It also highlights the potential of using integration approach for cancer research. This unique and timely book provides a thorough overview of developing omics, which will appeal to anyone involved in cancer research. It will be a useful reference book for graduate students of different subjects (medicine, biology, engineering, etc) and senior scientists interested in the fascinating area of advanced technologies in cancer research. Readership: This is a precious book for all types of readers - cancer researchers, oncologists, pathologists, biologists, clinical chemists, pharmacologists, pharmaceutical specialists, biostatisticians, and bioinformaticists who want to expand their knowledge in cancer research.
An Operator Semigroup in Mathematical Genetics: Lyapunov Equation Model Of Drift And Mutation: Population Dependence And Asymptotic Behavior (SpringerBriefs in Applied Sciences and Technology)
by Marek Kimmel Adam BobrowskiThis authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using operator semi group theory. Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.
An Orchard Invisible: A Natural History of Seeds
by Jonathan SilvertownThe story of seeds, in a nutshell, is a tale of evolution. From the tiny sesame that we sprinkle on our bagels to the forty-five-pound double coconut borne by the coco de mer tree, seeds are a perpetual reminder of the complexity and diversity of life on earth. With An Orchard Invisible, Jonathan Silvertown presents the oft-ignored seed with the natural history it deserves, one nearly as varied and surprising as the earth's flora itself.Beginning with the evolution of the first seed plant from fernlike ancestors more than 360 million years ago, Silvertown carries his tale through epochs and around the globe. In a clear and engaging style, he delves into the science of seeds: How and why do some lie dormant for years on end? How did seeds evolve? The wide variety of uses that humans have developed for seeds of all sorts also receives a fascinating look, studded with examples, including foods, oils, perfumes, and pharmaceuticals. An able guide with an eye for the unusual, Silvertown is happy to take readers on unexpected--but always interesting--tangents, from Lyme disease to human color vision to the Salem witch trials. But he never lets us forget that the driving force behind the story of seeds-- its theme, even-- is evolution, with its irrepressible habit of stumbling upon new solutions to the challenges of life. "I have great faith in a seed," Thoreau wrote. "Convince me that you have a seed there, and I am prepared to expect wonders." Written with a scientist's knowledge and a gardener's delight, An Orchard Invisible offers those wonders in a package that will be irresistible to science buffs and green thumbs alike.
An Outsider's Guide to Humans: What Science Taught Me About What We Do and Who We Are
by Camilla PangWINNER OF THE ROYAL SOCIETY SCIENCE BOOK PRIZEAn instruction manual for life, love, and relationships by a brilliant young scientist whose Asperger's syndrome allows her--and us--to see ourselves in a different way...and to be better at being humanDiagnosed with Autism Spectrum Disorder at the age of eight, Camilla Pang struggled to understand the world around her. Desperate for a solution, she asked her mother if there was an instruction manual for humans that she could consult. With no blueprint to life, Pang began to create her own, using the language she understands best: science. That lifelong project eventually resulted in An Outsider's Guide to Humans, an original and incisive exploration of human nature and the strangeness of social norms, written from the outside looking in--which is helpful to even the most neurotypical thinker. Camilla Pang uses a set of scientific principles to examine life's everyday interactions:- How machine learning can help us sift through data and make more rational decisions- How proteins form strong bonds, and what they teach us about embracing individual differences to form diverse groups- Why understanding thermodynamics is the key to seeking balance over seeking perfection- How prisms refracting light can keep us from getting overwhelmed by our fears and anxieties, breaking them into manageable and separate "wavelengths"Pang's unique perspective of the world tells us so much about ourselves--who we are and why we do the things we do--and is a fascinating guide to living a happier and more connected life.
An Overall Account of Surface Enhanced Raman Spectroscopy
by Nikhil Ranjan JanaThis book covers all the aspects of surface enhanced Raman Spectroscopy (SERS) including a brief history of the discovery of SERS and development of the field, basic principles and enhancement mechanism of SERS. It covers first generation (plasmonic nanomaterials) /second generation (plasmonic hot spots)/third generation (via plasmonic engineering) substrate nanomaterials that are developed for SERS, single molecule SERS and designed SERS probes for ultrasensitive detection applications. It further discusses different SERS detection platforms, highlight the issues of poor signal reproducibility and how to minimize it.Features: Provides understanding on the role of electromagnetic hot spots in surface enhanced Raman Spectroscopy. Reviews all types of surface enhanced Raman Spectroscopy substrates. Covers surface enhanced Raman Spectroscopy-based detection platforms and signal reproducibility issues. Includes development of single molecule detection via surface enhanced Raman Spectroscopy. Discusses chemical analysis, biomedical application, and all other related applications. This book is aimed at graduate students and researchers in spectroscopy, materials science, and engineering.
An Overview of Biomedical Implants: Biomaterials for the Human Body
by Tolou ShokuhfarUnderstand the core materials that create biomedical innovation Some of the greatest medical advances in recent decades have come in the form of biomedical implants. Whether in the form of traditional orthopedic implants, medical devices for the cardiovascular system, or polymer-based ocular implants, biomedical implants can be lifesaving or life-transforming interventions. The biomaterials which comprise these implants are a vital area of ongoing research, but no prior volume has ever taken comprehensive stock of this subject and its growing applications. An Overview of Biomedical Implants fills this gap with a thorough overview of all major biomaterials and their role in biomedical implants. Composed for an interdisciplinary audience, the book addresses all scales and areas of application. The result is an essential resource in this critical ongoing area of biomedical research. An Overview of Biomedical Implants readers will also find: Description of the relationship between every specific biomaterial and its role in each major implant categoryDetailed discussion of nanoscale to molecular-scale to industrial-scale biomaterialsConcrete examples in every chapter, along with a list of pertinent references An Overview of Biomedical Implants is ideal for physicians, scientists, and engineers—those working in the area of biomaterials, medical, biological and chemical and applied physics, pharmaceutical science and as a reference for professors and students in these areas.
An Overview of General Relativity and Space-Time (Series in Astronomy and Astrophysics)
by Nicola VittorioThis textbook equips Masters’ students studying Physics and Astronomy with the necessary mathematical tools to understand the basics of General Relativity and its applications. It begins by reviewing classical mechanics with a more geometrically oriented language, continues with Special Relativity and, then onto a discussion on the pseudo-Riemannian space-times. Applications span from the inner and outer Schwarzschild solutions to gravitational wave, black holes, spherical relativistic hydrodynamics, and Cosmology. The goal is to limit the abstract formalization of the problems, to favor a hands-on approach with a number of exercises, without renouncing to a pedagogical derivation of the main mathematical tools and findings.
An Overview of High-energy Ball Milled Nanocrystalline Aluminum Alloys (SpringerBriefs in Materials)
by Nick Birbilis Rajeev Kumar Gupta B. S. MurtyThis book presents a comprehensive overview of the nanocrystalline Al based alloys as prepared using high-energy ball milling (HEBM). It discusses the influence of HEBM parameters on grain refinement and examines methods for the consolidation of nanocrystalline Al powders; further, it reviews the effects of various processing parameters on the final microstructure and the impact of microstructure on corrosion and mechanical properties. The book also provides guidelines for choosing appropriate HEBM parameters for the production of nanocrystalline Al powders and methods for consolidating them in net-shaped components. Future challenges and possible applications of high-energy ball milled Al alloys are also discussed. The book is intended for researchers and professionals interested in aluminium alloy development, manufacturing technologies, light metals and nanocrystalline metallic materials.