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Familiarizes students with the tools they need to use manifolds in mathematical or scientific research - smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more.

In an expanding 2nd edition of How Apollo Flew to the Moon, David Woods tells the exciting story of how the resulting Apollo flights were conducted by following a virtual flight to the Moon and its exploration of the surface.

I have included two types of illustrations with this goal in mind: watercolor paintings which magnify a small portion of a living cell by one million times, showing the arrangement of molecules inside, and comput- generated pictures, which show the atomic details of individual molecules.

This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden’s permanent conjecture, as well as additional, highly original and delightful proofs in other chapters.From the citation on the occasion of the 2018 "Steele Prize for Mathematical Exposition"“… It is almost impossible to write a mathematics book that can be read and enjoyed by people of all levels and backgrounds, yet Aigner and Ziegler accomplish this feat of exposition with virtuoso style. […] This book does an invaluable service to mathematics, by illustrating for non-mathematicians what it is that mathematicians mean when they speak about beauty.”From the Reviews"... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. ... Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... "Notices of the AMS, August 1999"... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures and beautiful drawings ... It is a pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary background is given separately and the proofs are brilliant. ..."LMS Newsletter, January 1999"Martin Aigner and Günter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdös. The theorems are so fundamental, their proofs so elegant and the remaining open questions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ..." SIGACT News, December 2011

Understanding and employing cryptography has become central for securing virtually any digital application, whether user app, cloud service, or even medical implant.Heavily revised and updated, the long-awaited second edition of Understanding Cryptography follows the unique approach of making modern cryptography accessible to a broad audience, requiring only a minimum of prior knowledge. After introducing basic cryptography concepts, this seminal textbook covers nearly all symmetric, asymmetric, and post-quantum cryptographic algorithms currently in use in applications—ranging from cloud computing and smart phones all the way to industrial systems, block chains, and cryptocurrencies.Topics and features:Opens with a foreword by cryptography pioneer and Turing Award winner, Ron RivestHelps develop a comprehensive understanding of modern applied cryptographyProvides a thorough introduction to post-quantum cryptography consisting of the three standardized cipher familiesIncludes for every chapter a comprehensive problem set, extensive examples, and a further-reading discussionCommunicates, using a unique pedagogical approach, the essentials about foundations and use in practice, while keeping mathematics to a minimumSupplies up-to-date security parameters for all cryptographic algorithmsIncorporates chapter reviews and discussion on such topics as historical and societal contextThis must-have book is indispensable as a textbook for graduate and advanced undergraduate courses, as well as for self-study by designers and engineers.The authors have more than 20 years’ experience teaching cryptography at various universities in the US and Europe. In addition to being renowned scientists, they have extensive experience with applying cryptography in industry, fromwhich they have drawn important lessons for their teaching.

This is the only book that gives a rigorous and comprehensive treatment with lots of examples, exercises, remarks on this particular level between the standard first undergraduate course and the first graduate course based on measure theory. There is no competitor to this book. The book can be used in classrooms as well as for self-study.

From the reviews of the second edition:"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations.

Dieses Buch zeigt, dass Suizid nicht nur eine Folge einer psychischen Erkrankung ist, sondern eine Handlung, die mit der Lebensgeschichte eines Menschen zusammenhängt. Auf der Grundlage von Hunderten von Interviews mit suizidgefährdeten Patienten argumentiert der Autor, dass Suizid und Suizidversuche dann auftreten, wenn jemand extremen emotionalen Schmerz erlebt, der die Fähigkeit zu rationalem Denken und Handeln stark beeinträchtigt. Auf der Grundlage dieses Verständnisses entwickelten Michel und seine Kollegen einen personenzentrierten Behandlungsansatz, der die Grenzen des traditionellen medizinischen Modells überwindet. Durch eine kurze Therapie finden die Patienten ein persönlich bedeutsames, narratives Verständnis ihrer Selbstmordgedanken und -impulse. Gefährdete Menschen können lernen, ihre Schwachstellen zu erkennen, um mit potenziell lebensbedrohlichen Situationen umzugehen und sich selbst zu schützen. Michel unterstreicht die Bedeutung der Kommunikation: Medizinisches Fachpersonal muss mit den Patienten als Individuen in Kontakt treten, um spezifische Warnzeichen zu erkennen.Dieses ebenso einfühlsame wie klare Buch bietet einen wichtigen Einblick in die Suizidprävention und zeigt, wie eine veränderte Einstellung dazu beitragen kann, Leben zu retten. Es enthält praktische Ratschläge für gefährdete Menschen, mit besonderem Schwerpunkt auf jungen Menschen, sowie für Angehörige und Fachkräfte im Gesundheitswesen.

The work might be best summed up as being a clinical neuropsychology postdoctoral residency in a book, with the most up to date information available, so that it is also an indispensible book for practicing neuropsychologists in addition to students and residents…There is really no book like this available today.

The sweeping diversity of complex life on Earth, Ward and Brownlee argue, evolved out of an extraordinary set of physical conditions and chance events that would be extremely hard to duplicate--though not impossible. Many planets throughout the vastness of the Universe may be teeming with microbial life, but advancement beyond this stage is very rare. Everyone with an interest in the possible extent of life in the Universe and the nature of life's evolution on our own planet will be fascinated by Rare Earth. "...likely to cause a revolution in thinkinbg..."--The New York Times "...[the book] has hit the world of astrobiologists like a killer asteroid..."--Newsday (New York) "...a sobering and valuable perspective..."--Science "...a startling new hypothesis..."--Library Journal "...Peter Ward and Donald Brownlee offer a powerful argument..."--The Economist "...provocative, significant, and sweeping..."--Northwest Science & Technology "...a stellar example of clear writing..."--American Scientist "...well thought out and intriguing..."--Icarus "...a pleasure for the rational reader ...what good books are all about..."--The Associated Press

The present English edition is not a mere translation of the German original. Many new problems have been added and there are also other changes, mostly minor. Yet all the alterations amount to less than ten percent of the text. We intended to keep intact the general plan and the original flavor of the work. Thus we have not introduced any essentially new subject matter, although the mathematical fashion has greatly changed since 1924. We have restricted ourselves to supplementing the topics originally chosen. Some of our problems first published in this work have given rise to extensive research. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space. We have to thank many readers who, since the publication of this work almost fifty years ago, communicated to us various remarks on it, some of which have been incorporated into this edition. We have not listed their names; we have forgotten the origin of some contributions, and an incomplete list would have been even less desirable than no list. The first volume has been translated by Mrs. Dorothee Aeppli, the second volume by Professor Claude Billigheimer. We wish to express our warmest thanks to both for the unselfish devotion and scrupulous conscientiousness with which they attacked their far from easy task.

When the Soviets experienced a series of setbacks in their space program the USSR switched emphasis in their manned space program away from the Moon towards the creation of orbital scientific research platforms, the Space Station. With the success of Apollo, the Soviets claimed they had never actually intended to fly to the Moon, and that the space station was always their long-term goal. However, recently disclosed Russian archives show that, contrary to official statements in the late 1960s and early 1970s, there was a planned Soviet program to send cosmonauts around the Moon and eventually to land on the surface. For the Americans, having lost their only competitor in the race for the Moon, the need for the Apollo program was questioned even before the first landing was achieved. With the near tragic flight of Apollo 13 in 1970 the pressure was on to cut the program and redirect efforts towards more Earth-focused objectives. At the height of success, the Apollo missions were reduced from 20 to 17, and plans for extending the flights to include lunar stays of 14 days to create a lunar base were scrapped.In the three decades since Apollo there has been very little exploration of the Moon by either America or Russia. The final Soviet Luna probe flew in 1976 and the following year the network of scientific experiments left on the Moon by the Apollo astronauts were switched off. Whilst many plans were put forward to return to the Moon, only two probes, Clementine and Lunar Prospector have supplemented information from the Apollo era.

This book uses scores of examples to show the differences between scientific presentations that inform and persuade and those that do not. It details the keys of style that distinguish the best scientific presentations.

The estimation and the validation of the Basel II risk parameters PD (default probability), LGD (loss given fault), and EAD (exposure at default) is an important problem in banking practice.

Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually illustrates the major definitions and axioms with two or three models, enabling the reader to picture the idea more clearly.

A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds.

Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to California where he is now Professor at the University of California at Berkeley. He is the author of "Residues and Duality" (1966), "Foundations of Projective Geometry (1968), "Ample Subvarieties of Algebraic Varieties" (1970), and numerous research titles. His current research interest is the geometry of projective varieties and vector bundles. He has been a visiting professor at the College de France and at Kyoto University, where he gave lectures in French and in Japanese, respectively. Professor Hartshorne is married to Edie Churchill, educator and psychotherapist, and has two sons. He has travelled widely, speaks several foreign languages, and is an experienced mountain climber. He is also an accomplished amateur musician: he has played the flute for many years, and during his last visit to Kyoto he began studying the shakuhachi.

Now the OPC Foundation has released a new generation of OPC specifications called OPC Unified Architecture (OPC UA).

The introduction of mechatronic components for the powertrain, steering and braking systems opens the way to automatic driving functions. Then driver assistance systems like adaptive cruise control (ACC), electronic stability control (ESC), electronic course control and anti-collision control systems are considered.

Chapters are divided into four sections, detailing molecular descriptors, QSAR and read-across, molecular and data modeling techniques, computational toxicology in drug discovery, molecular fingerprints, AI techniques, and safe drug design.

Multiobjective optimization deals with solving problems having not only one, but multiple, often conflicting, criteria. Such problems can arise in practically every field of science, engineering and business, and the need for efficient and reliable solution methods is increasing. The task is challenging due to the fact that, instead of a single optimal solution, multiobjective optimization results in a number of solutions with different trade-offs among criteria, also known as Pareto optimal or efficient solutions. Hence, a decision maker is needed to provide additional preference information and to identify the most satisfactory solution. Depending on the paradigm used, such information may be introduced before, during, or after the optimization process. Clearly, research and application in multiobjective optimization involve expertise in optimization as well as in decision support.This state-of-the-art survey originates from the International Seminar on Practical Approaches to Multiobjective Optimization, held in Dagstuhl Castle, Germany, in December 2006, which brought together leading experts from various contemporary multiobjective optimization fields, including evolutionary multiobjective optimization (EMO), multiple criteria decision making (MCDM) and multiple criteria decision aiding (MCDA).This book gives a unique and detailed account of the current status of research and applications in the field of multiobjective optimization. It contains 16 chapters grouped in the following 5 thematic sections: Basics on Multiobjective Optimization; Recent Interactive and Preference-Based Approaches; Visualization of Solutions; Modelling, Implementation and Applications; and Quality Assessment, Learning, and Future Challenges.

This book gives an introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to start from some basic results (without proofs) of the easier cases and develop the theory from there, and to concentrate on the proofs of the easier case (which nevertheless are often sufficiently general for many purposes) in order to be able to reach quickly the parts of the theory which is most important for the applications. For the 6th edition the author has added further exercises and, for the first time, solutions to many of the exercises are provided.

This concise survey describes the requirements on materials operating in high-temperature environments and the processes that increase the temperature capability of metals, ceramics, and composites. The major part deals with the applicable materials and their specific properties, with one entire chapter devoted to coatings. Written for engineering and science students, researchers, and managers in industry.

Topics include Bayesian updating, conjugate and reference priors, Bayesian point and interval estimates, Bayesian asymptotics and empirical Bayes methods.

Der Lehrbuch-Klassiker zur Einführung in die Sozialpsychologie stellt das beliebte Grundlagenfach der Psychologie lebendig, bunt und anschaulich vor: Jemanden lieben, miteinander streiten, zusammen arbeiten, gemeinsam lernen – das Leben steckt voller Sozialpsychologie, denn das vielseitige Fachgebiet beschäftigt sich damit, wie Gedanken, Gefühle und Verhalten von Menschen durch die Anwesenheit anderer Menschen beeinflusst werden.

Percolation theory is the study of an idealized random medium in two or more dimensions. The mathematical theory is mature, and continues to give rise to problems of special beauty and difficulty. Percolation is pivotal for studying more complex physical systems exhibiting phase transitions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. The book is intended for graduate students and researchers in probability and mathematical physics. Almost no specialist knowledge is assumed. Much new material appears in this second edition, including: dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.

This greatly expanded third edition of Survival Analysis- A Self-learning Text provides a highly readable description of state-of-the-art methods of analysis of survival/event-history data.