Basic Analysis: Volumes I-V is written with the aim of balancing theory and abstraction with clear explanations and arguments, so that students and researchers alike who are from a variety of different areas can follow this text and use it profitably for self-study. The first volume is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra. This is a critical course in the use of abstraction, but is just first volume in a sequence of courses which prepare students to become practicing scientists. The second volume focuses on differentiation in n-dimensions and important concepts about mappings between finite dimensional Euclidean spaces, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These important topics provide background in important applied and theoretical areas which are no longer covered in mathematical science curricula. Although it follows on from the preceding volume, this is a self-contained book, accessible to undergraduates with a standard course in undergraduate analysis. The third volume is intended as a first course in abstract linear analysis. This textbook covers metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist. The fourth volume introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides. The final volume introduces graduate students in science with concepts from topology and functional analysis, both linear and nonlinear. It is the fifth book in a series designed to train interested readers how to think properly using mathematical abstractions, and how to use the tools of mathematical analysis in applications. It is important to realize that the most difficult part of applying mathematical reasoning to a new problem domain is choosing the underlying mathematical framework to use on the problem. Once that choice is made, we have many tools we can use to solve the problem. However, a different choice would open up avenues of analysis from a different, perhaps more productive perspective. In this volume, the nature of these critical choices is discussed using applications involving the immune system and cognition. Features: Can be used as a supplementary text for anyone whose work requires that they begin to assimilate more abstract mathematical concepts as part of their professional growth Function as a traditional textbook as well as a resource for self-study Suitable for mathematics students and for those in other disciplines such as biology, physics, and economics and others requiring a careful and solid grounding in the use of abstraction in problem solving Emphasizes learning how to understand the consequences of the underlying assumptions used in building a model Regularly uses computation tools to help understand abstract concepts.

Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist. Feature: Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasizes learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions

Basic Analysis V: Functional Analysis and Topology introduces graduate students in science to concepts from topology and functional analysis, both linear and nonlinear. It is the fifth book in a series designed to train interested readers how to think properly using mathematical abstractions, and how to use the tools of mathematical analysis in applications. It is important to realize that the most difficult part of applying mathematical reasoning to a new problem domain is choosing the underlying mathematical framework to use on the problem. Once that choice is made, we have many tools we can use to solve the problem. However, a different choice would open up avenues of analysis from a different, perhaps more productive, perspective. In this volume, the nature of these critical choices is discussed using applications involving the immune system and cognition. Features Develops a proof of the Jordan Canonical form to show some basic ideas in algebraic topology Provides a thorough treatment of topological spaces, finishing with the Krein-Milman theorem Discusses topological degree theory (Brouwer, Leray-Schauder, and Coincidence) Carefully develops manifolds and functions on manifolds ending with Riemannian metrics Suitable for advanced students in mathematics and associated disciplines Can be used as a traditional textbook as well as for self-study Author James K. Peterson is an Emeritus Professor at the School of Mathematical and Statistical Sciences, Clemson University. He tries hard to build interesting models of complex phenomena using a blend of mathematics, computation, and science. To this end, he has written four books on how to teach such things to biologists and cognitive scientists. These books grew out of his Calculus for Biologists courses offered to the biology majors from 2007 to 2015. He has taught the analysis courses since he started teaching both at Clemson and at his previous post at Michigan Technological University. In between, he spent time as a senior engineer in various aerospace firms and even did a short stint in a software development company. The problems he was exposed to were very hard, and not amenable to solution using just one approach. Using tools from many branches of mathematics, from many types of computational languages, and from first-principles analysis of natural phenomena was absolutely essential to make progress. In both mathematical and applied areas, students often need to use advanced mathematics tools they have not learned properly. So, he has recently written a series of five books on mathematical analysis to help researchers with the problem of learning new things after they have earned their degrees and are practicing scientists. Along the way, he has also written papers in immunology, cognitive science, and neural network technology, in addition to having grants from the NSF, NASA, and the US Army. He also likes to paint, build furniture, and write stories.

Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science curricula. Although it follows on from the preceding volume, this is a self-contained book, accessible to undergraduates with a minimal grounding in analysis. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions

Basic Analysis I: Functions of a Real Variable is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra. This is a critical course in the use of abstraction, but is just first volume in a sequence of courses which prepare students to become practicing scientists. This book is written with the aim of balancing the theory and abstraction with clear explanations and arguments, so that students who are from a variety of different areas can follow this text and use it profitably for self-study. It can also be used as a supplementary text for anyone whose work requires that they begin to assimilate more abstract mathematical concepts as part of their professional growth. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduate mathematics students, or for those in other disciplines requiring a solid grounding in abstraction Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions

This book provides a self-study program on how mathematics, computer science and science can be usefully and seamlessly intertwined. Learning to use ideas from mathematics and computation is essential for understanding approaches to cognitive and biological science. As such the book covers calculus on one variable and two variables and works through a number of interesting first-order ODE models. It clearly uses MatLab in computational exercises where the models cannot be solved by hand, and also helps readers to understand that approximations cause errors - a fact that must always be kept in mind.

This book shows how mathematics, computer science and science can be usefully and seamlessly intertwined. It begins with a general model of cognitive processes in a network of computational nodes, such as neurons, using a variety of tools from mathematics, computational science and neurobiology. It then moves on to solve the diffusion model from a low-level random walk point of view. It also demonstrates how this idea can be used in a new approach to solving the cable equation, in order to better understand the neural computation approximations. It introduces specialized data for emotional content, which allows a brain model to be built using MatLab tools, and also highlights a simple model of cognitive dysfunction.

This book offers a self-study program on how mathematics, computer science and science can be profitably and seamlessly intertwined. This book focuses on two variable ODE models, both linear and nonlinear, and highlights theoretical and computational tools using MATLAB to explain their solutions. It also shows how to solve cable models using separation of variables and the Fourier Series.

This book shows how mathematics, computer science and science can be usefully and seamlessly intertwined. It begins with a general model of cognitive processes in a network of computational nodes, such as neurons, using a variety of tools from mathematics, computational science and neurobiology. It then moves on to solve the diffusion model from a low-level random walk point of view. It also demonstrates how this idea can be used in a new approach to solving the cable equation, in order to better understand the neural computation approximations. It introduces specialized data for emotional content, which allows a brain model to be built using MatLab tools, and also highlights a simple model of cognitive dysfunction.

This book offers a self-study program on how mathematics, computer science and science can be profitably and seamlessly intertwined. This book focuses on two variable ODE models, both linear and nonlinear, and highlights theoretical and computational tools using MATLAB to explain their solutions. It also shows how to solve cable models using separation of variables and the Fourier Series.

This book provides a self-study program on how mathematics, computer science and science can be usefully and seamlessly intertwined. Learning to use ideas from mathematics and computation is essential for understanding approaches to cognitive and biological science. As such the book covers calculus on one variable and two variables and works through a number of interesting first-order ODE models. It clearly uses MatLab in computational exercises where the models cannot be solved by hand, and also helps readers to understand that approximations cause errors - a fact that must always be kept in mind.

"Neutron Applications in Materials for Energy "collects results and conclusions of recent neutron-based investigations of materials that are important in the development of sustainable energy. Chapters are authored by leading scientists with hands-on experience in the field, providing overviews, recent highlights, and case-studies to illustrate the applicability of one or more neutron-based techniques of analysis. The theme follows energy production, storage, and use, but each chapter, or section, can also be read independently, with basic theory and instrumentation for neutron scattering being outlined in the introductory chapter.

Whilst neutron scattering is extensively used to understand properties of condensed matter, neutron techniques are exceptionally-well suited to studying how the transport and binding of energy and charge-carrying molecules and ions are related to their dynamics and the material s crystal structure. These studies extend to "in situ" and "in operando" in some cases. The species of interest in leading energy-technologies include H2, H+, and Li+ which have particularly favourable neutron-scattering properties that render these techniques of analysis ideal for such studies and consequently, neutron-based analysis is common-place for hydrogen storage, fuel-cell, catalysis, and battery materials. Similar research into the functionality of solar cell, nuclear, and CO2 capture/storage materials rely on other unique aspects of neutron scattering and again show how structure and dynamics provide an understanding of the material stability and the binding and mobility of species of interest within these materials.

Scientists and students looking for methods to help them understand the atomic-level mechanisms and behaviour underpinning the performance characteristics of energy materials will find "Neutron Applications in Materials for Energy "a valuable resource, whilst the wider audience of sustainable energy scientists, and newcomers to neutron scattering should find this a useful reference. "

The Afterlife of Ophelia presents Ophelia in a broader and more comprehensive range of contexts than previous scholarship and forges connections among fields that are typically pursued as separate lines of inquiry within Shakespeare studies, including: film and new media studies; theatre and performance studie; historicist and contextual perspectives; and studies of popular culture--

Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides. Features * Can be used as a traditional textbook as well as for self-study * Suitable for advanced students in mathematics and associated disciplines * Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions

This is the only book that tells both sides of the story of germs: that they are critically important for our health and that the dangers of emerging pathogens continue to wreak havoc in our bodies and around the world. With straight-forward and engaging writing, infectious diseases physician Phillip Peterson surveys how our understanding of viruses has changed throughout history, from early plagues and pandemics to more recent outbreaks like HIV/AIDS, Ebola, and the Zika virus. Microbes also takes on contemporary issues like the importance of vaccinations in the face of the growing anti-vaxxer movement, as well as the rise of cutting-edge health treatments like fecal transplants. Peterson relays his first-hand experience dealing with an unprecedented emergence of new microbial threats. Yet at the same time he has witnessed the astounding recent discoveries of the crucial role of the microbes that colonize our body surfaces in human health. Microbes explains for general readers where these germs came from, what they do to and for us, and what can be done to stop the bad actors and foster the benefactors.

This collection of new essays is the first to explore the rich afterlife of one of Shakespeare's most recognizable characters. With contributions from an international group of established and emerging scholars, The Afterlife of Ophelia moves beyond the confines of existing scholarship and forges new lines of inquiry beyond Shakespeare studies.

As Gen. William Tecumseh Sherman swept through Georgia in 1864, he fought several small battles against an ever-retreating Gen. Joseph E. Johnston who had replaced the beleaguered Gen. Braxton Bragg as leader of the Confederate Army of Tennessee. After heavy rains slowed Sherman’s advance, Johnston’s army entrenched along the Brushy Mountain line. Hemmed in by the mountains and impassable roads, Sherman noted in his reports to Washington, “Kennesaw is the key to the whole country.” Ultimately, Sherman would outflank Johnston and grind down his army’s defenses with a brazen frontal assault. Federal forces suffered 3,000 casualties compared to Johnston’s 1,000, and yet the Confederate Army of Tennessee was forced to retreat to Smyrna, and continued defeats led to Sherman’s infamous burning of Atlanta in August of 1864. Decisions at Kennesaw Mountain explores the critical decisions made by Confederate and Federal commanders during the battle and how these decisions shaped its outcome. Rather than offering a history of the battle, Larry Peterson hones in on a sequence of command decisions that provides us, retroactively, with a blueprint of the Battle of Kennesaw Mountain at its tactical core. Identifying and exploring the critical decisions in this way allows students of the battle to progress from a knowledge of what happened to a mature grasp of why events happened. Complete with maps and a driving tour, Decisions at Kennesaw Mountain is an indispensable primer, and readers looking for a concise introduction to the battle can tour this sacred ground—or read about it at their leisure—with key insights into the campaign and a deeper understanding of the Civil War itself. Decisions at Kennesaw Mountain is the seventeenth in a series of books that will explore the critical decisions of major campaigns and battles of the Civil War.

From America's favorite cooking teacher, multiple award-winner James Peterson, an invaluable reference handbook.
Culinary students everywhere rely on the comprehensive and authoritative cookbooks published by chef, instructor, and award-winning author Jim Peterson. And now, for the first time, this guru-to-the-professionals turns his prodigious knowledge into a practical, chockablock, quick-reference, A-to-Z answer book for the rest of us.
Look elsewhere for how to bone skate or trim out a saddle of lamb, how to saute sweetbreads or flambe dessert. Look here instead for how to zest a lemon, make the perfect hamburger, bread a chicken breast, make (truly hot) coffee in a French press, make magic with a Microplane. It's all here: how to season a castiron pan, bake a perfect pie, keep shells from sticking to hardcooked eggs. How to carve a turkey, roast a chicken, and chop, slice, beat, broil, braise, or boil any ingredient you're likely to encounter. Information on seasoning, saucing, and determining doneness (by internal temperatures, timings, touch, and sight) guarantee that you've eaten your last bland and overcooked meal.
Here are 500 invaluable techniques with nearly as many color photographs, bundled into a handy, accessible format.

This compact, comprehensive title offers a thorough overview of the history, constitutional basis, statutory structure, regulatory provisions, administrative procedure, and ethical principles related to immigration law and practice. Updated to reflect developments including the Trump administration's impact on immigration law and the Biden Administration, it is valuable both as a teaching and a practice reference.

Intended for a general readership, Decisions of the Atlanta Campaign introduces readers to critical decisions made by both Union and Confederate commanders who faced harrowing situations and attempted to achieve strategic and tactical victories. Like four similar books by Matt Spruill, Dave Powell, and Peterson's own Decisions at Chattanooga, this contribution to the Command Decisions in America's Civil War series contains maps, photographs, and a guided tour of the battlefields. It will be the first in the series to tackle an entire campaign