The Brownian Motion
This open access textbook is the first to provide Business and Economics Ph.D. students with a precise and intuitive introduction to the formal backgrounds of modern financial theory. It explains Brownian motion, random processes, measures, and Lebesgue integrals intuitively, but without sacrificing the necessary mathematical formalism, making them...
Environmental Leadership Capacity Building in Higher Education
The Graduate Program in Sustainability Science under the Department of Urban Engineering of The University of Tokyo has been running an environmental leadership education program at the graduate student level since 2007 called the Asian Program for Incubation of Environmental Leaders (APIEL). This book describes the University's experiences in esta...
Teaching and Learning of Calculus
This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the...
Programming for Computations - Python
This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapte...
Analysis for Computer Scientists
This easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer ...
Advances in Discrete Differential Geometry
This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. The authors take a closer look at discre...
The Privacy Engineer's Manifesto
The Privacy Engineer's Manifesto: Getting from Policy to Code to QA to Value is the first book of its kind, offering industry-proven solutions that go beyond mere theory and adding lucid perspectives on the challenges and opportunities raised with the emerging "personal" information economy. The authors, a uniquely skilled team of long...
AiREAS: Sustainocracy for a Healthy City
This book describes the coming about and first results of the AiREAS "healthy city" cooperative in the city of Eindhoven and Province of North Brabant in the Netherlands. AiREAS is an initiative focused on the multidisciplinary co-creation of healthy cities using the core human value of human health and air quality as guiding principle fo...
Programming for Computations - MATLAB/Octave
This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs o...
Quantization on Nilpotent Lie Groups
This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups...
Stochastics of Environmental and Financial Economics
These Proceedings offer a selection of peer-reviewed research and survey papers by some of the foremost international researchers in the fields of finance, energy, stochastics and risk, who present their latest findings on topical problems. The papers cover the areas of stochastic modeling in energy and financial markets; risk management with envir...
Programming for Computations - Python
This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs o...
Hardy Inequalities on Homogeneous Groups
This book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich,...
Innovations in Derivatives Markets
This book presents 20 peer-reviewed chapters on current aspects of derivatives markets and derivative pricing. The contributions, written by leading researchers in the field as well as experienced authors from the financial industry, present the state of the art in: - Modeling counterparty credit risk: credit valuation adjustment, debit valuation a...
Punishing the Criminal Corpse, 1700-1840
This book analyses the different types of post-execution punishments and other aggravated execution practices, the reasons why they were advocated, and the decision, enshrined in the Murder Act of 1752, to make two post-execution punishments, dissection and gibbeting, an integral part of sentences for murder. It traces the origins of the Act, and t...
Boundary Value Problems, Weyl Functions, and Differential Operators
This book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the anal...
Children's Exploration and Cultural Formation
This open access book examines the educational conditions that support cultures of exploration in kindergartens. It conceptualises cultures of exploration, whether those cultures are created through children's own engagement or are demanded of them through undertaking specific tasks within different institutional settings. It shows how the conditio...
Communicating, Networking: Interacting
This book illustrates the benefits to be gained from digitally networked communication for health, education and transitioning economies in developing nations (Sierra Leone and Papua New Guinea) and developed nations. Growing powers of e-citizenship can help build sustainable futures. This small volume provides a collection of examples and ideas fr...
Measure, Integration & Real Analysis
This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a v...
Introduction to Financial Accounting: U.S. GAAP Adaptation
Introduction to Financial Accounting: U.S. GAAP, was intended for a first course in introductory financial accounting. It focuses on core introductory financial accounting topics that match pre-requisite requirements for students advancing to intermediate financial accounting. A corporate approach is utilized versus beginning with a sole proprietor...
Electromagnetics, Volume 1
Electromagnetics, volume 1 by Steven W. Ellingson is a 225-page, peer-reviewed open educational resource intended for electrical engineering students in the third year of a bachelor of science degree program. It is intended as a primary textbook for a one-semester first course in undergraduate engineering electromagnetics. The book employs the &quo...
Calculus: Early Transcendentals
Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable textbook provides a comprehensive understanding of the nec...
Theory of Statistics
This book is directed toward students for whom mathematical statistics is or will become an important part of their lives. Obviously, such students should be able to work through the details of 'hard' proofs and derivations. In addition, students at this level should acquire, or begin acquiring, a deep appreciation for the field, including its hist...
Abstract Algebra
This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the ...
A Graduate Course in Applied Cryptography
Cryptography is an indispensable tool used to protect information in computing systems. It is used everywhere and by billions of people worldwide on a daily basis. It is used to protect data at rest and data in motion. Cryptographic systems are an integral part of standard protocols, most notably the Transport Layer Security (TLS) protocol, making ...
Creative Multilingualism
Multilingualism is integral to the human condition. Hinging on the concept of Creative Multilingualism - the idea that language diversity and creativity are mutually enriching - this timely and thought-provoking volume shows how the concept provides a matrix for experimentation with ideas, approaches and methods. The book presents four years of ...
Street-Fighting Mathematics
In problem solving, as in street fighting, rules are for fools: do whatever works - don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only mode...
The Web as History
he World Wide Web has now been in use for more than 20 years. From early browsers to today's principal source of information, entertainment and much else, the Web is an integral part of our daily lives, to the extent that some people believe 'if it's not online, it doesn't exist.' While this statement is not entirely true, it is becoming increasing...