This, the fourth volume of the handbook "Integrals and Series", contains tables of the direct Laplace transforms and includes results set forth in books of a similar kind and in periodical literature. All the tables are arranged in two columns - originals f(x) and corresponding images F(p). The Laplace transformation is extensively used in various problems of pure and applied mathematics. Particularly widespread and effective is its application to problems arising in the theory of operational calculus and its applications, embracing the most diverse branches of science and technology. An important advantage of methods using the Laplace transformation lies in the possibility of compiling tables of various elementary and special functions commonly encountered in applications. A number of Laplace transforms are expressed in terms of Meijer G-function. When combined with the table of special cases of the G-function, these formulae make it possible to obtain Laplace transforms of various elementary and special functions of mathematical physics.

Key features: Provides a literature-based approach with examples of cutting-edge applications and the state of the art Presents the necessary theory as needed, chapter by chapter Synthesises concepts from physics and chemistry.

With exoplanets being discovered daily, Earth is still the only planet we know of that is home to creatures who seek a coherent explanation for the structure, origins, and fate of the universe, and of humanity s place within it. Today, science and religion are the two major cultural entities on our planet that share this goal of coherent understanding, though their interpretation of evidence differs dramatically. Many scientists look at the known universe and conclude we are here by chance. The renowned astronomer and historian of science Owen Gingerich looks at the same evidence along with the fact that the universe is comprehensible to our minds and sees it as proof for the planning and intentions of a Creator-God. He believes that the idea of a universe without God is an oxymoron, a self-contradiction. God s Planet" exposes the fallacy in thinking that science and religion can be kept apart.

Gingerich frames his argument around three questions: Was Copernicus right, in dethroning Earth from its place at the center of the universe? Was Darwin right, in placing humans securely in an evolving animal kingdom? And was Hoyle right, in identifying physical constants in nature that seem singularly tuned to allow the existence of intelligent life on planet Earth? Using these episodes from the history of science, Gingerich demonstrates that cultural attitudes, including religious or antireligious beliefs, play a significant role in what passes as scientific understanding. The more rigorous science becomes over time, the more clearly God s handiwork can be comprehended."

Mathematics and Music: Composition, Perception, and Performance, Second Edition includes many new sections and more consistent expectations of a student's experience. The new edition of this popular text is more accessible for students with limited musical backgrounds and only high school mathematics is required. The new edition includes more illustrations than the previous one and the added sections deal with the XronoMorph rhythm generator, musical composition, and analyzing personal performance. The text teaches the basics of reading music, explaining how various patterns in music can be described with mathematics, providing mathematical explanations for musical scales, harmony, and rhythm. The book gives students a deeper appreciation showing how music is informed by both its mathematical and aesthetic structures. Highlights of the Second Edition: Now updated for more consistent expectations of students' backgrounds More accessible for students with limited musical backgrounds Full-color presentation Includes more thorough coverage of spectrograms for analyzing recorded music Provides a basic introduction to reading music Features new coverage of building and evaluating rhythms

Modern Physics intertwines active learning pedagogy with the material typically covered in an introductory survey, from the basics of relativity and quantum mechanics through recent developments in particle physics and cosmology. The flexible approach taken by the authors allows instructors to easily incorporate as much or as little active learning into their teaching as they choose. Chapters are enhanced by 'Discovery' and 'Active Reading' exercises to guide students through key ideas before or during class, while 'ConcepTests' help check student understanding and stimulate classroom discussions. Each chapter also includes extensive assessment material, with a range of basic comprehension questions, drill and practice calculations, computer-based problems, and explorations of advanced applications. A test bank and interactive animations as well as other support for instructors and students are available online. Students are engaged by an accessible and lively writing style, thorough explanations, 'Math Interludes' which account for varying levels of skill and experience, and advanced topics to further pique their interest in physics.

Classical mechanics is a subject that is teeming with life. However, most of the interesting results are scattered around in the specialist literature, which means that potential readers may be somewhat discouraged by the effort required to obtain them. Addressing this situation, Hamiltonian Dynamical Systems includes some of the most significant papers in Hamiltonian dynamics published during the last 60 years. The book covers bifurcation of periodic orbits, the break-up of invariant tori, chaotic behavior in hyperbolic systems, and the intricacies of real systems that contain coexisting order and chaos. It begins with an introductory survey of the subjects to help readers appreciate the underlying themes that unite an apparently diverse collection of articles. The book concludes with a selection of papers on applications, including in celestial mechanics, plasma physics, chemistry, accelerator physics, fluid mechanics, and solid state mechanics, and contains an extensive bibliography. The book provides a worthy introduction to the subject for anyone with an undergraduate background in physics or mathematics, and an indispensable reference work for researchers and graduate students interested in any aspect of classical mechanics.

These Proceedings cover various topics in modern physics in which group theoretical methods can be applied effectively. The two volumes, containing over 100 papers, cover such areas as representation theory, the theory and applications of dynamical symmetries and coherent states, symmetries in atomic, molecular, nuclear and elementary particle physics, field theory including gauge theories, supersymmetry and supergravity, general relativity and cosmology, the theory of space groups and its applications to solid state physics and phase transitions, the problems of quantum and classical mechanics and paraxial optics, and the theory of nonlinear equations and solitons.

The new Fourth Edition of Bacterial Infections of Humans reflects a decade of important discoveries, technological progress, and valuable new therapies as well as emerging and reemerging infections, resistant strains of bacteria, and threats of bioterrorism. It offers accessible, up-to-date information across the range of disease entities. As in previous editions, introductory chapters review general concepts of infection and epidemiology, and the chapters devoted to specific infections follow a consistent and highly useful format: historical background, methodology (diagnosis and pathology), biology, descriptive epidemiology, mechanism and routes of transmission, pathogenesis, host responses, methods of prevention and control, and areas for future research. All material has been thoroughly updated, and two chapters on molecular epidemiology and health care-acquired bacterial infections, are entirely new. A sampling of the 40 diseases and clinical syndromes covered in the Fourth Edition: Anthrax Bacterial foodborne disease Chlamydia E. coli Legionellosis Meningitis Q fever Tuberculosis Bacterial Infections of Humans has been noted for ably complementing textbooks on the subject, and this most current edition remains a major reference for professionals in the field, including public health practitioners, microbiologists, immunologists, researchers studying pathogenic bacteria, clinicians working with infectious disease, and medical or nursing students.

Featuring a wealth of engaging content, this concept-based Course Book has been developed in cooperation with the IB to provide the most comprehensive support for the DP Physics specification, for first teaching from September 2023. It is packed full of questions, clear explanations and worked examples, plus extensive assessment preparation support. Use this print Course Book alongside the digital course on Oxford's Kerboodle platform for the best teaching and learning experience. Oxford's DP Science offer brings together the IB curriculum and future-facing functionality, enabling success in DP and beyond.

Two new Revision Workbooks covering Eduqas AS and A Level Physics. Revision Workbook 1 covers Components 1 and 2, Revision Workbook 2 covers Component 3 and Options A, B, C & D. Each Revision Workbook provides a comprehensive collection of examination-style questions. // Ideal for examination preparation, exam question practice and for improving examination technique. // Enables students to build on their knowledge of key areas of study and develop their confidence in the subject. // Helps students understand what is required in an exam and develop the skills needed to be effective in an exam situation. // Includes advice on how students can refine their exam technique and improve their grade potential. // The helpful write-in format, together with the answers, enables students to check their progress as they work through the course.

The Physics of Everyday Phenomena introduces students to the basic concepts of physics, using examples of common occurrences in everyday life. Intended for use in a one-semester or two-semester course in conceptual physics, this book is written in a narrative style, frequently using questions designed to draw the reader into a dialogue about the ideas of physics. This inclusive style allows the book to be used by anyone interested in exploring the nature of physics and explanations of everyday physical phenomena.

More Random Walks in Science is an anthology of fascinating and frequently amusing anecdotes, quotations, illustrations, articles, and reviews that reflect the more lighthearted aspects of the scientific world and the less serious excursions of the scientific mind. The book is guaranteed to delight anyone who has a professional or amateur interest in science.

This textbook provides a comprehensive, yet accessible, introduction to statistical mechanics. Crafted and class-tested over many years of teaching, it carefully guides advanced undergraduate and graduate students who are encountering statistical mechanics for the first time through this – sometimes – intimidating subject. The book provides a strong foundation in thermodynamics and the ensemble formalism of statistical mechanics. An introductory chapter on probability theory is included. Applications include degenerate Fermi systems, Bose-Einstein condensation, cavity radiation, phase transitions, and critical phenomena. The book concludes with a treatment of scaling theories and the renormalization group. In addition, it provides clear descriptions of how to understand the foundational mathematics and physics involved and includes exciting case studies of modern applications of the subject in physics and wider interdisciplinary areas. Key Features: Presents the subject in a clear and entertaining style which enables the author to take a sophisticated approach whilst remaining accessible Contains contents that have been carefully reviewed with a substantial panel to ensure that coverage is appropriate for a wide range of courses, worldwide Accompanied by volumes on thermodynamics and non-equilibrium statistical mechanics, which can be used in conjunction with this book, on courses which cover both thermodynamics and statistical mechanics

These volumes collect the lecture notes of the course a oeAn introduction to computational physicsa held in the academic year 2000/01 for students of the University of Pisa and Scuola Normale Superiore at the level of the last two-year undergraduates in physics and chemistry. The second part deals with various types of particle methods, both deterministic and stochastic, used in modern applications of computer simulations in physics and related disciplines.

For the millions who remain curious about the world around them, but gained little from science at school, this book offers a way forward. Based on live discussions with adults from all walks of life, each chapter begins with an everyday experience, like swallowing a pill or watching a bee on a flower. The main scientific ideas underlying each topic are then explored, so that understanding of a set of fundamental concepts builds up gradually throughout the book. In contrast to more traditional approaches to science learning, topics range freely across the subject areas. The story of Covid, for example includes aspects of biology, chemistry, mathematics and social behaviour. Plain English is used throughout and mathematical expressions are avoided. Key points are illustrated with clear diagrams and photographs. By drawing on questions and perspectives of ordinary people, the book offers an introduction to basic ideas in science as a whole, rather than any one particular subject. For the adult wishing to make good a gap in their understanding it provides a starting point for entering the rich world of popular science.

The equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc. In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models. The book seeks to determine the classic, generalized and sequential solutions, the relationship between these solutions, its direct physical sense, the methods of its practical finding, and its existence. Features Describes a sequential method based on the construction of space completion, as well as its applications in number theory, the theory of distributions, the theory of extremum, and mathematical physics Presentation of the material is carried out on the simplest example of a one-dimensional stationary heat transfer process; all necessary concepts and constructions are introduced and illustrated with elementary examples, which makes the material accessible to a wide area of readers The solution of a specific mathematical problem is obtained as a result of the joint application of methods and concepts from completely different mathematical directions

These volumes collect the lecture notes of the course a oeAn introduction to computational physicsa held in the academic year 2000/01 for students of the University of Pisa and Scuola Normale Superiore at the level of the last two-year undergraduates in physics and chemistry. Grid methods are the tool of the trade for the solution of ordinary and partial differential equations and consequently they represent a a oemusta for anyone dealing with computational science. With grid methods, a major distinction is made between methods which do not require matrix algebra and those which do.

This is the only book which encompassing the theories of Fourier transforms, wavelet transforms and their chronological geometrical ramifications including polar wavelet transforms, ridgelet transforms, curvelet transforms, contourlet transforms, shearlet transforms, bendlet transforms, taylorlet transforms and so on. There is an urgent need for a text that explains the fundamental concepts underlying the theory of wavelet transforms together with the chronological developments in research to the most contemporary ramifications in a flavor accessible to graduate students and researchers. The need for a contemporary coverage of wavelet transforms in a new textbook at the graduate level, encompassing the current research, is there. This book will address this need.

Offers the latest research on the topic.

This interdisciplinary book, Advanced Microscopy: A Strong Analytical Tool in Materials Science, covers the methodology and applications of different advanced microscopic techniques in various research fields, including chemistry, nanotechnology, polymers, chemical engineering, and biomedical engineering, providing an informative overview that helps to determine the best applications for advanced materials. Materials usually behave very differently at nanoscale in all aspects, and this volume shows how microscopy can help provide a detailed understanding of materials such as semiconductors, metals, polymers, biopolymers, etc. The volume illustrates advanced microscopic techniques that include scanning electron microscopy (SEM), transmission electron microscopy (TEM), atomic force microscopy (AFM), confocal microscopy, and others. The microscopy techniques presented in the volume show applications in many areas of science, including botany and plant science, medicine, nanotechnology, chemistry, food science, waste management, and others. This book presents the diverse advanced microscopic techniques for researchers, giving a better understanding as well as implementation of novel techniques in materials science.

This book covers a variety of problems, and offers solutions to some, in: Statistical state and parameter estimation in nonlinear stochastic dynamical system in both the classical and quantum scenarios Propagation of electromagnetic waves in a plasma as described by the Boltzmann Kinetic Transport Equation Classical and Quantum General Relativity It will be of use to Engineering undergraduate students interested in analysing the motion of robots subject to random perturbation, and also to research scientists working in Quantum Filtering.

Includes recent research and development in the areas of omics and microbial bioremediation Covers the broad environmental pollution control approach such as metagenomics, metabolomics, fluxomics, bioremediation, and biodegradation of industrial wastes Reviews metagenomics and waste management, and recycling for environmental cleanup Describes the metagenomic methodologies and best-practices, from sample collection to data analysis for taxonomies Explores various microbial degradation pathways and detoxification mechanisms for organic and inorganic contaminants of wastewater with their gene expression

Achieve success in your physics course by making the most of what PHYSICS FOR SCIENTISTS AND ENGINEERS has to offer. From a host of in-text features to a range of outstanding technology resources, you'll have everything you need to understand the natural forces and principles of physics. Throughout every chapter, the authors have built in a wide range of examples, exercises, and illustrations that will help you understand the laws of physics AND succeed in your course!