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This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable. Together, these volumes form the first English edition of the popular Hungarian original, Valós Analízis I & II, based on courses taught by the authors at Eötvös Loránd University, Hungary, for more than 30 years. Numerous exercises are included throughout, offering ample opportunities to master topics by progressing from routine to difficult problems. Hints or solutions to many of the more challenging exercises make this book ideal for independent study, or further reading.Intended as a sequel to a course in single variable analysis, this book builds upon and expands these ideas into higher dimensions. The modular organization makes this text adaptable for either a semester or year-long introductory course. Topics include: differentiation and integration of functions of several variables;

You Must be Very Intelligent is the author’s account of studying for a PhD in a modern, successful university. Part-memoir and part-exposé, this book is highly entertaining and unusually revealing about the dubious morality and desperate behaviour which underpins competition in twenty-first century academia.This witty, warts-and-all account of Bodewits´ years as a PhD student in the august University of Edinburgh is full of success and failure, passion and pathos, insight, farce and warm-hearted disillusionment. She describes a world of collaboration and backstabbing; nefarious financing and wasted genius; cosmopolitan dreamers and discoveries that might just change the world… Is this a smart people’s world or a drip can of weird species? Modern academia is certainly darker and stranger than one might suspect…This book will put a wry, knowing smile on the faces of former researchers. And it is a cautionary parable for innocents who still believe that lofty academia is erected upon mora

Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high sc

The First Stars IV meeting was aimed at discussing star formation through cosmic time and the impacts of first stars on galaxy formation, first explosions, cosmic reionization, and formation of massiv

The book consists of two parts: A summary and critical examination of chemical theory as it developed from early beginnings through the dramatic events of the twentieth century, and a reconstruction

This book provides the latest scientific understanding of the Sun, sharing insights gleaned from the international solar physics project Hinode. The authors (who are the main project contributors) rev

In May 1961, President John F. Kennedy committed the United States to landing a man on the moon before the end of the decade. With just a handful of years to pull it off, NASA authorized the Project G

This book explores key themes and issues confronting modern Catholicism. Bringing together cutting-edge research in the field of religious studies and the sociology of religion, it offers a syst

This volume contains 68 papers presented at SCI 2016: First International Conference on Smart Computing and Informatics. The conference was held during 3-4 March 2017, Visakhapatnam, India and organiz

After first analysing the economic development processes of emerging Asian economies in general, this book explores the development implications of India’s seventy years (1947-2017) of socio-economic

Many courses and degrees require that students write a short thesis. This book guides students through their first experience of producing a thesis and undertaking original research. Written by experi

This book discusses situational instruction – a topic that is particularly relevant to Chinese language teaching and learning – in the context of research in the field. Employing real-world classroom

The primary objective of this book is to provide an easy approach to the basic principles of Engineering Drawing, which is one of the core subjects for undergraduate students in all branches of engine

This groundbreaking volume presents, for the first time in English, a broad historical review of the researches carried out over 170 years in the region of Lagoa Santa, Brazil, one of the most importa

This reference book shows how the Zero Outage method leads to more stability in operations, more reliability in projects and, ultimately, to greater customer satisfaction. It explains why clear standa

The graceful analysis that underpins calculus is often lost in the delineation of curriculum between the two areas. Intertwining the two, this text provides a conceptual approach to multivariable calc

This book explores how professionals can engage and inspire parents to support their young children’s mathematics learning. Bringing together international experts, researchers and scholars, it propos

This book provides the first critical edition of Ibn al-Haytham’s On the Shape of the Eclipse with English translation and commentary, which records the first scientific analysis of the camera obscura

This book reports on the objectives, methods used and difficulties faced by the RAVE research projects, and presents the results and their significance for the future use of offshore wind energy in a

This book investigates first language (L1) and second language (L2) use in Chinese university classrooms, focusing on the experiences of four Chinese EFL teachers who were teaching non-English major s

The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence

This book introduces and contextualizes the revised and strengthened legislation on the laundering of criminal funds mandated by the European Union on the 20th May 2015. The authors provide fresh and

These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regul

This book considers Hegel's interpretation of Jakob Bohme's mystical philosophy, against the background of the reception of Bohme in the 18th and 19th centuries, and of Hegel's understanding of mysticism as a philosophical approach. The three sections of this book explore: the historical background of Hegel's encounter with Bohme's writings; two different conceptions of mysticism in Hegel's work and the responses of other famous readers of Bohme (especially Schelling); Hegel's references to Bohme both in published writings and manuscripts. According to Hegel, Jakob Bohme “is the first German philosopher”. The reason for placing Bohme at the very beginning of German philosophy is that Hegel considers the cobbler to be a profound thinker, despite a serious lack of education. Hegel's fascination with Bohme mainly lies in the mystic's understanding of the symbiotic relation between God and its opposite, the Devil: he considers this to be the true speculative core of Bohme's thought. By int

This volume explores the field of transport sector development. Derived from the 2015 TranSopot conference held in Sopot, Poland, it discusses current trends, issues, and research on the topic. Specif

This book reports the results from on-site research into radioactive cesium contamination in various agricultural systems affected by the Fukushima Daiichi Nuclear Power Plant accident that occurred i

In this volume teacher educators explicitly and implicitly share their visions for the purposes, experiences, and commitments necessary for social studies teacher preparation in the twenty-first centu

This book brings together recent research from across the world on enriched methane, and examines the production, distribution and use of this resource in internal combustion engines and gas turbines.

Based on extensive primary sources, many never previously translated into English, this is the definitive account of the origins of Ceres as it went from being classified as a new planet to reclassifi

This book offers a unique and focused study of the use of ultrasound during the first trimester, a critical time in a fetus’ development. It includes basic examination guidelines as well as cutting-ed

Amateur astronomers who have been disappointed by the results of an observing session can take comfort in the guidance of this book, which advises how to still gain useful experience in seemingly &quo

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to

The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment o

This book constitutes the refereed proceedings of the First International Workshop on Process-Aware Systems, PAS 2014, held in Shanghai, China, in October 2014. The 5 revised full papers and 3 short p

Young addresses the impressive expansion across existing and developing commercial space business markets, with multiple private companies competing in the payload launch services sector. The author p

This volume presents the proceedings of the first European Biomedical Engineering Conference for Young Investigators ENCY2015. It was in Budapest, from 28th to 30th May, 2015. The papers were assemble

This book constitutes the proceedings of the First Joint International Conference on Serious Games, JCSG 2015, held in Huddersfield, UK, in June 2015. This conference bundles the activities of the Int

This book covers the entire spectrum of cultural and digital tourism and presents the latest findings, examples and cases, highlighting innovations for the tourism industry from both an academic and a

This book is a collection of selected papers that were presented at the First International Conference of the Asia-Pacific Society for Agricultural and Food Ethics (APSAFE 2013), which was held at Chu

The current volume is comparative and inter-disciplinary, and it provides a reflection on what thinking might become after Heidegger’s philosophy. Its aim is to critically expand the current field of