Introduction to Computing

Manifolds are abound in mathematics and physics, and increasingly in cybernetics and visualization where they often reflect properties of complex systems and their configurations. Differential topology gives us the tools to study these spaces and extract information about the underlying systems. This book offers a concise and modern introduction to the core topics of differential topology for advanced undergraduates and beginning graduate students. It covers the basics on smooth manifolds and their tangent spaces before moving on to regular values and transversality, smooth flows and differential equations on manifolds, and the theory of vector bundles and locally trivial fibrations. The final chapter gives examples of local-to-global properties, a short introduction to Morse theory and a proof of Ehresmann's fibration theorem. The treatment is hands-on, including many concrete examples and exercises woven into the text, with hints provided to guide the student.

Noncommutative mathematics is a significant new trend of mathematics. Initially motivated by the development of quantum physics, the idea of 'making theory noncommutative' has been extended to many areas of pure and applied mathematics. This book is divided into two parts. The first part provides an introduction to quantum probability, focusing on the notion of independence in quantum probability and on the theory of quantum stochastic processes with independent and stationary increments. The second part provides an introduction to quantum dynamical systems, discussing analogies with fundamental problems studied in classical dynamics. The desire to build an extension of the classical theory provides new, original ways to understand well-known 'commutative' results. On the other hand the richness of the quantum mathematical world presents completely novel phenomena, never encountered in the classical setting. This book will be useful to students and researchers in noncommutative probabi

This book is intended both as a resource for engineers and as an introduction to the layman about our most important metal system. After an introduction that deals with the history and refining of iron and steel, the rest of the book examines their physical properties and metallurgy. To elaborate on the importance of iron and steel, we can refer to the fact that modern civilization as we know it would not be possible without it. Steel is essential in the machinery necessary for manufacturing that meets our needs. Even the words themselves have come to suggest strength. Phrases such as 'iron willed', 'iron fisted', 'iron clad', 'iron curtain' and 'pumping iron' imply strength. A 'steely glance' is a stern look. 'A heart of steel' refers to a very hard demeanor. The Russian dictator, Stalin (which means steel in Russian), chose the name to invoke fear in those under him.

This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis.

This is a rigorous introduction to real analysis for undergraduate students, starting from the axioms for a complete ordered field and a little set theory. The book avoids any preconceptions about the real numbers and takes them to be nothing but the elements of a complete ordered field. All of the standard topics are included, as well as a proper treatment of the trigonometric functions, which many authors take for granted. The final chapters of the book provide a gentle, example-based introduction to metric spaces with an application to differential equations on the real line. The author's exposition is concise and to the point, helping students focus on the essentials. Over 200 exercises of varying difficulty are included, many of them adding to the theory in the text. The book is perfect for second-year undergraduates and for more advanced students who need a foundation in real analysis.

This book is intended both as a resource for engineers and as an introduction to the layman about our most important metal system. After an introduction that deals with the history and refining of iron and steel, the rest of the book examines their physical properties and metallurgy. To elaborate on the importance of iron and steel, we can refer to the fact that modern civilization as we know it would not be possible without it. Steel is essential in the machinery necessary for manufacturing that meets our needs. Even the words themselves have come to suggest strength. Phrases such as 'iron willed', 'iron fisted', 'iron clad', 'iron curtain' and 'pumping iron' imply strength. A 'steely glance' is a stern look. 'A heart of steel' refers to a very hard demeanor. The Russian dictator, Stalin (which means steel in Russian), chose the name to invoke fear in those under him.

Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of Propositions and Functions', which was divided up and re-used to create the final changes for the second edition. These documents provide fascinating insight, including Russell's attempts to work out the theorems in the flawed Appendix B, 'On Induction'. An extensive introduction describes the stages of the manuscript material on the way to print and analyzes the proposed changes in the context of the development of symbolic logic after 1910.

This book provides an accessible introduction to quantum electrodynamics. Based on lectures on quantum electrodynamics given by the highly original and distinguished physicist V. N. Gribov, the aim of the book is to present the theory of quantum electrodynamics in the shortest and clearest way for applied use. A distinctive feature of Gribov's approach is the systematic use of the Green function method which allows a straightforward generalization to the cases of strong and weak interactions. The book starts with an introduction that uses the basics of quantum mechanics to gently introduce the reader into the world of propagation functions and particle interactions. The following chapter then focusses on spin 1/2 particles. The text goes on to discuss symmetries, the CPT theorem, causality, and unitarity followed by a detailed presentation of renormalisation theory. A final chapter looks at difficulties with the theory and possible routes to their resolution.

This book provides an accessible and up-to-date introduction to how knot theory and Feynman diagrams can be used to illuminate problems in quantum field theory. Beginning with a summary of key ideas from perturbative quantum field theory and an introduction to the Hopf algebra structure of renormalization, early chapters discuss the rationality of ladder diagrams and simple link diagrams. The necessary basics of knot theory are then presented and the number-theoretic relationship between the topology of Feynman diagrams and knot theory is explored. Later chapters discuss four-term relations motivated by the discovery of Vassiliev invariants in knot theory and draw a link to algebraic structures recently observed in noncommutative geometry. Detailed references are included. Dealing with material at perhaps the most productive interface between mathematics and physics, the book will be of interest to theoretical and particle physicists, and mathematicians.

This textbook provides graduate students with a thorough and up-to-date introduction to inflationary cosmology. Enormous progress has been made in this area in the last few years and this book is the first to provide a modern and unified overview. It covers all aspects of inflationary cosmology and carefully compares predictions with the latest observations, including those of the cosmic microwave background, the clustering and velocities of galaxies and the epoch of structure formation. Problems are included throughout to help the student to develop a thorough understanding. With the host of international experiments currently being performed and planned for the near future (including NASA's MAP satellite, and the European Space Agency's Planck mission), inflationary cosmology promises to be one of the most exciting and fruitful topics of research in science in the next decade. This book provides graduate students with the ideal introduction.

This edition of the French philosopher Auguste Comte's (1798–1857) early essays shows Comte at the heart of the political and intellectual debates of Restoration France. The young Comte forged the central features of his philosophical system in response to the central challenge of the 1820s - how to find a new foundation for political legitimacy and thus to 'close' the revolutionary era. Stuart Jones's introduction to this new edition shows how Comte grappled with problems that confronted liberals and counter-revolutionaries alike, and identifies the novelty of his solution. The essays presented in this edition reveal the systematizing character of Comte's intellect, which lay at the root of his enormous appeal to nineteenth-century readers. In addition to the substantial introduction, this volume contains a chronology, biographical information on key figures, and a bibliographical note making this an accessible volume highly suitable for undergraduate use.

This edition of the French philosopher Auguste Comte's (1798–1857) early essays shows Comte at the heart of the political and intellectual debates of Restoration France. The young Comte forged the central features of his philosophical system in response to the central challenge of the 1820s - how to find a new foundation for political legitimacy and thus to 'close' the revolutionary era. Stuart Jones's introduction to this new edition shows how Comte grappled with problems that confronted liberals and counter-revolutionaries alike, and identifies the novelty of his solution. The essays presented in this edition reveal the systematizing character of Comte's intellect, which lay at the root of his enormous appeal to nineteenth-century readers. In addition to the substantial introduction, this volume contains a chronology, biographical information on key figures, and a bibliographical note making this an accessible volume highly suitable for undergraduate use.

Plutarch's Life of Antony is a work remarkable for its colourful narrative and vivid characterisation of Antony and Cleopatra. This book presents the Greek text of the Life, accompanied by an extensive introduction and a detailed commentary. Dr Pelling is concerned throughout to discuss the work as literature. The introduction sets the life in its historical and literary context and the commentary pays particular attention to discussing the value of Plutarch's narrative as a historical source for the period and to explaining points of linguistic difficulty. An especially interesting and friutful approach used by Dr Pelling is to compare the work with Shakespeare's Antony and Cleopatra (which was almost wholly based to Plutarch's Life), bringing out how much Shakespeare's conception of the character and destiny of his protagonists owes to Plutarch, and tracing its transposition into dramatic form. Intended primarily as a textbook for undergraduate students, this edition will nevertheles

Suitable for both graduate and senior undergraduate students, this textbook offers a logical progression through the underlying principles and practical applications of nonlinear photonics. Building up from essential physics, general concepts, and fundamental mathematical formulations, it provides a robust introduction to nonlinear optical processes and phenomena, and their practical applications in real-world devices and systems. Over 45 worked problems illustrate key concepts and provide hands-on models for students, and over 160 end-of-chapter exercises supply students with plenty of scope to master the material. Accompanied by a complete solutions manual for instructors, including detailed explanations of each result, and drawing on the author's 35 years of teaching experience, this is the ideal introduction to nonlinear photonics for students in electrical engineering.

A first introduction to the human body for curious toddlers. With layered die-cuts throughout. The human body is an amazing machine Take a look inside and learn all about how it works with this interactive layered die-cut board book. Simple callouts, such as hair, ear, arm, and bones, invite even the youngest reader to explore the workings of the human body. Topics covered include the movements of our body parts, the five senses, the way in which blood flows through the body, the internal organs that the human body contains, and the different types of bones that are found throughout the body. Packed with fun facts and accessible information, this first introduction to our bodies is perfect for the youngest children.

The first book on the topic, this is a comprehensive introduction to the modeling and design of junctionless field effect transistors (FETs). Beginning with a discussion of the advantages and limitations of the technology, the authors also provide a thorough overview of published analytical models for double-gate and nanowire configurations, before offering a general introduction to the EPFL charge-based model of junctionless FETs. Important features are introduced gradually, including nanowire versus double-gate equivalence, technological design space, junctionless FET performances, short channel effects, transcapacitances, asymmetric operation, thermal noise, interface traps, and the junction FET. Additional features compatible with biosensor applications are also discussed. This is a valuable resource for students and researchers looking to understand more about this new and fast developing field.

Written in a lively and engaging style, by a medical author and teacher of great renown, this book provides a fascinating and informative introduction to the development of surgery through the ages. It illustrates some of the key advances in surgery from primitive techniques such as trepanning, through some of the gruesome but occasionally successful methods employed by the ancient civilisations, the increasingly sophisticated techniques of the Greeks and Romans, the advances of the Dark Ages and the Renaissance and on to the early pioneers of anaesthesia and antisepsis such as Morton, Lister and Pasteur. Heavily illustrated in colour, The Cambridge Illustrated History of Surgery is the only serious choice for a reader wanting a lively and informative single-volume introduction to surgical history.

Motivated by recent dramatic developments in the field, this book provides a thorough introduction to spin and its role in elementary particle physics. Starting with a simple pedagogical introduction to spin and its relativistic generalisation, the author successfully avoids the obscurity and impenetrability of traditional treatments of the subject. The book surveys the main theoretical and experimental developments, as well as discussing exciting plans for the future. Emphasis is placed on the importance of spin-dependent measurements in testing QCD and the Standard Model. This book will be of value to graduate students and researchers working in all areas of quantum physics and particularly in elementary particle and high energy physics. It is suitable as a supplementary text for graduate courses in theoretical and experimental particle physics.

Motivated by recent dramatic developments in the field, this book provides a thorough introduction to spin and its role in elementary particle physics. Starting with a simple pedagogical introduction to spin and its relativistic generalisation, the author successfully avoids the obscurity and impenetrability of traditional treatments of the subject. The book surveys the main theoretical and experimental developments, as well as discussing exciting plans for the future. Emphasis is placed on the importance of spin-dependent measurements in testing QCD and the Standard Model. This book will be of value to graduate students and researchers working in all areas of quantum physics and particularly in elementary particle and high energy physics. It is suitable as a supplementary text for graduate courses in theoretical and experimental particle physics.

Following their introduction in the early 1980s o-minimal structures were found to provide an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. The book starts with an introduction and overview of the subject. Later chapters cover the monotonicity theorem, cell decomposition, and the Euler characteristic in the o-minimal setting and show how these notions are easier to handle than in ordinary topology. The remarkable combinatorial property of o-minimal structures, the Vapnik-Chervonenkis property, is also covered. This book should be of interest to model theorists, analytic geometers and topologists.

This book is composed of two parts: Part I （Chaps. I through 3） is an introduction to tensors and their physical applications， and Part II （Chaps. 4 through 6） introduces group theory and intertwines

Let's look in the music box and see what we can find. Join the ukulele and the maracas and the drum and see what sounds they make! Great pre-school introduction to musical instruments!

DISCOVER the facts and DO the activities in this fun geography series! Discover and Do! Geography is the perfect introduction to geography for readers aged 7 and up who enjoy getting creative. Each bo

DISCOVER the facts and DO the activities in this fun geography series! Discover and Do! Geography is the perfect introduction to geography for readers aged 7 and up who enjoy getting creative. Each bo

DISCOVER the facts and DO the activities in this fun geography series Discover and Do! Geography is the perfect introduction to geography for readers aged 7 and up who enjoy getting creative! Each boo

DISCOVER the facts and DO the activities in this fun geography series! Discover and Do! Geography is the perfect introduction to geography for readers aged 7 and up who enjoy getting creative! Each bo

Shark Feels Shy is a picture book that helps young children discuss their feelings and build positive relationships. It offers a gentle introduction to the emotion of shyness and offers some ways in w

From fiber artist Toni Lipsey of TL Yarn Craft, an introduction to the craft of Tunisian crochet―a unique crochet style that looks more like knitting―with 20 projects for beginnersThere are hundreds o

Filled with fun facts, giggles galore, and googly eyes, the Big Jobs board books are the perfect introduction for babies and toddlers to the big world around them, starting at home!With vibrant artwor

Filled with fun facts, giggles galore, and googly eyes, the Big Jobs board books are the perfect introduction for babies and toddlers to the big world around them, starting at home!With vibrant artwor

Filled with fun facts, giggles galore, and googly eyes, the Big Jobs board books are the perfect introduction for babies and toddlers to the big world around them, starting at home!With vibrant artwor

Following on from the success of the award-winning A History of Pictures for Children comes this introduction to the history of music that takes children on a musical journey around the world. Readers

This chapter book edition of the #1 New York Times bestseller by luminaries Ibram X. Kendi and Jason Reynolds is an essential introduction to the history of racism and antiracism in AmericaRACE. Uh-oh

DISCOVER the facts and DO the activities in this fun geography series Discover and Do! Geography is the perfect introduction to geography for readers aged 7 and up who enjoy getting creative! Each boo

DISCOVER the facts and DO the activities in this fun geography series Discover and Do! Geography is the perfect introduction to geography for readers aged 7 and up who enjoy getting creative! Each boo

DISCOVER the facts and DO the activities in this fun geography series Discover and Do! Geography is the perfect introduction to geography for readers aged 7 and up who enjoy getting creative! Each boo

DISCOVER the facts and DO the activities in this fun geography series Discover and Do! Geography is the perfect introduction to geography for readers aged 7 and up who enjoy getting creative! Each boo

The Language of Flowers Oracle features wildflowers that grow at 44 of the world's sacred places. It is an excellent introduction to flower reading as well as an entry-level botanical reference. If yo

Shark Feels Shy is a picture book that helps young children discuss their feelings and build positive relationships. It offers a gentle introduction to the emotion of shyness and offers some ways in w

I Was There... is a perfect introduction for younger readers into stories from the past, allowing children to imagine that they were really there. I Was There...Ira Aldridge tells the exciting story o