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Calculus of One Variable
This book is a textbook about calculus of one variable. It contains proofs of all the theorems, propositions etc but also Python codes in order to solve many calculus problems. To produce these codes we use AI and show to the reader how to do that. This book aims to supplement the existing bibli...
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An Introduction to Measuration and Calibration
Accuracy and consistency are essential to success in manufacturing, and the technology of precision measurement is fully explained and illustrated in this important book for both apprentice and practicing engineers. Features Provides illustrations of the devices throughout with descript...
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Computational Mathematics in Engineering
The series is aimed specifically at publishing peer-reviewed reviews and contributions presented at conferences, workshops, and international seminars as well as edited volumes commemorating and honoring significant achievements by mathematicians. This content covers various topics within pure an...
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Artificial Intelligence and Robotics
The "Mathematical Methods in the Digital Age" (MMDA) series explores the intersection of mathematics and digital technology. Edited and authored by leading experts, it addresses the impact of digital advancements on mathematical theory and practice. Covering topics like algorithmic processes, com...
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Multiple Integrals in Calculus
The book consists of eight chapters, each focusing on different aspects of multiple integrals and related topics in mathematical analysis.In Chapter 1, multiple integrals are defined and developed. The Jordan measure in n-dimensional unit balls is introduced, along with the definition and criteri...
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Elemente der diskreten Mathematik
Das Lehrbuch beschäftigt sich mit den Elementen der Diskreten Mathematik und deren algebraischen Grundlagen, die relevante Anwendungen in der Informatik haben. Notwendige Hilfsmittel werden behandelt, um moderne Entwicklungen im Informationszeitalter der KI kompetent zu beurteilen. Wichtige mathe...
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Graph Theory
The author’s passion for teaching core computer science courses, particularly discrete math and algorithms, inspired this book. Graphs are crucial in solving real-world problems, and this book aims to present graph theory gradually and accessibly. It provides a comprehensive overview of foundatio...
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Differential and Integral Calculus
The book contains six chapters. In Chapter 1, the set Rn is defined. n-dimensional ball, sphere, and rectangular neighborhood of a point are defined. Sequences in Rn are defined by their properties. Open, closed and compact sets in Rn are investigated. The Heine-Borel theorem is formulated and...
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Engineering Mathematics
A groundbreaking and comprehensive reference with over 500,000 copies sold since it first debuted in 1970, the new seventh edition of Engineering Mathematics has been thoroughly revised and expanded. An interactive Personal Tutor CD-ROM is included with every book. Providing a broad mathematical ...
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Functional and Harmonic Analysis
This book provides a comprehensive exploration of weighted function spaces, a fundamental topic in modern analysis. Beginning with the basics of weighted Lebesgue spaces, it systematically develops key properties such as duality, convexity, and interpolation. It delves into Muckenhoupt weights, H...
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Probability and Optimization for Engineers
Probability and Optimization for Engineers covers the fundamentals of probabilistic design and optimum design and methods for high performance design. It presents the principle of finite element method in probabilistic and optimum design with solved specific interactive problems of finite element...
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Uni-variate Polynomials in Analysis
The book summarizes recent results on problems with uni-variate polynomials. The first of them reads: given the signs of the coefficients of a real polynomial (i. e. its sign pattern), for which pairs of prescribed numbers of positive and negative roots (compatible with Descartes’ rule of signs) ...
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Octonion Sparse-Based Image Processing
The "Mathematical Methods in the Digital Age" (MMDA) series explores the intersection of mathematics and digital technology. Edited and authored by leading experts, it addresses the impact of digital advancements on mathematical theory and practice. Covering topics like algorithmic processes, com...
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Multigrid Methods
This book introduces the theory and application of multigrid methods for the fast numerical solution of linear and weakly nonlinear elliptic PDE. No previous exposure to numerical discretization methods is assumed. All that is required of the reader is curiosity and some basic knowledge of matrix...
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Process Optimization
The theory and practice of optimization as a tool for successful decision-making when designing new products and processes: While the focus is on the formulation of optimization problems, also attention is given to solution methods, software implementation, and analysis and interpretation of solu...
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Fuzzy Clustering Algorithms
This book bridges theoretical concepts in fuzzy clustering with practical applications. It elucidates the mathematical foundations of fuzzy clustering methods, serving as a much-needed resource in the field. By explicating complex concepts, it will aid researchers, practitioners, and students in ...
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Observability and Mathematics Modeling
Observability in Mathematics was developed based on the denial of the concept of infinity. The book introduces Observers into arithmetic, and arithmetic becomes dependent on Observers. And after that, the basic mathematical parts also become dependent on Observers. One of such parts is arithmeti...
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Complex Engineering Systems – Modeling and Optimization
Complex Engineering Systems - Modeling and Optimization offers an in-depth exploration of the foundational principles, advanced methodologies, and interdisciplinary applications essential for understanding and managing intricate engineering systems. Spanning mathematical modeling, numerical simul...
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Variational Methods in Nonlinear Analysis
The second edition covers the fundamentals of nonlinear analysis, variational methods and their applications. Also it covers Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomo...
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Analysis with Mathematica®
A computer algebra system such as Mathematica® is able to do much more than just numerics: This revised text shows how to tackle real mathematical problems from basic analysis. The reader learns how Mathematica® represents domains, qualifiers and limits to implement actual proofs – a requirement ...
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Mathematical Cryptology
This text offers a comprehensive introduction to cryptology, based on elementary number theory and essential numerical algorithms. It covers core mathematical topics —number theory, algebraic structures, matrices, determinants, and polynomials —through their use in cryptography. Symmetric-key cry...
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Nonlinear Analysis and Computational Techniques
The series is aimed specifically at publishing peer-reviewed reviews and contributions presented at conferences, workshops, and international seminars as well as edited volumes commemorating and honoring significant achievements by mathematicians. This content covers various topics within pure an...
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Time Scales Analysis
In Chapter 1, time scales are defined and some examples are given. Forward jump operators, backward jump operators, forward graininess functions and backward graininess functions are defined and some of their properties are given. The induction principle and dual induction principle are introduce...
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Functional Phase Space Methods
This book focuses on functional phase space methods in quantum optics and provides a comprehensive introduction to the Wigner functional formalism. The book shows how this formalism can be used for analyzing and designing practical photonic quantum information systems. It also explains in detail ...
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Banach and C*-Algebras
The series de Gruyter Studies in Mathematics was founded in 1982 by the late Professor Heinz Bauer and Professor Peter Gabriel. The series publishes monographs and textbooks in mathematics and its applications. Apart from covering important areas of current interest, a major aim is to make topi...
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Stochastic Finance
This book provides an introduction to probabilistic methods in finance, based on stochastic models in discrete time. It is aimed primarily at graduate students in mathematics but may also benefit mathematicians in academia and the financial industry. In this fifth edition, the entire text has ...
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Weighted Complete Intersections
This book discusses geometric properties of smooth weighted intersections in the context of mirror symmetry. It includes a series of open problems in algebraic geometry and mirror symmetry and a series of examples methods and applications. The book will appeal to graduate students and researchers...
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Complex Heterogeneous Systems
The author's research on energy storage systems generally was confronted with five characteristics, i.e., complex, interacting, transporting, reacting, and heterogeneous systems. Hence, we refer to these kind of systems as Complex Heterogeneous Systems (CHeSs). The work considers interacting sy...
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Laurent Polynomials in Mirror Symmetry
Mirror symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades. It was introduced in physics as a duality between superconformal field theories. This book discusses this rapidly developing aspect of string theory.
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Risk Management for Cryptocurrency Portfolios
Cryptocurrencies have transformed finance by opening new avenues for investment and innovation, while exposing portfolios to extreme volatility, fat tails, liquidity shocks, and shifting regulation. Risk Management for Cryptocurrency Portfolios provides a rigorous, practice-oriented toolkit for t...
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Fluid Mechanics and Statistical Methods in Engineering
This book is a volume in the Penn Press Anniversary Collection. To mark its 125th anniversary in 2015, the University of Pennsylvania Press rereleased more than 1,100 titles from Penn Press's distinguished backlist from 1899-1999 that had fallen out of print. Spanning an entire century, the Anniv...
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Asclepius of Tralles
This is a print on demand edition of an important, hard-to-find publication.
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Practical Geometry in the High Middle Ages
Contents: (I) The Place of Practical Geometry in the Middle Ages: The Nature of Practical Geometry; Practical Geometry in Education; Theory and Practice in Geometry; and Practical Geometry and Practical Concerns; (II) The Contents of “Artis cuiuslibet consummatio” and the “Pratike de geometrie”; ...
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Eleven-digit Regular Sexagesimals and Their Recipricols
This is a print on demand edition of an important, hard-to-find publication. Illustration.
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