Tag: Mathematical

Free Download Santanu Saha Ray, "Stochastic Integral And Differential Equations In Mathematical Modelling"
English | ISBN: 1800613571 | 2023 | 318 pages | PDF | 17 MB
The modelling of systems by differential equations usually requires that the parameters involved be completely known. Such models often originate from problems in physics or economics where we have insufficient information on parameter values. One important class of stochastic mathematical models is stochastic partial differential equations (SPDEs), which can be seen as deterministic partial differential equations (PDEs) with finite or infinite dimensional stochastic processes – either with colour noise or white noise. Though white noise is a purely mathematical construction, it can be a good model for rapid random fluctuations. Stochastic Integral and Differential Equations in Mathematical Modelling concerns the analysis of discrete-time approximations for stochastic differential equations (SDEs) driven by Wiener processes. It also provides a theoretical basis for working with SDEs and stochastic processes. This book is written in a simple and clear mathematical logical language, with basic definitions and theorems on stochastic calculus provided from the outset. Each chapter contains illustrated examples via figures and tables. The reader can also construct new wavelets by using the procedure presented in the book. Stochastic Integral and Differential Equations in Mathematical Modelling fulfils the existing gap in the literature for a comprehensive account of this subject area.

Free Download Alexander S. Holevo, "Quantum Systems, Channels, Information: A Mathematical Introduction "
English | ISBN: 3110642247 | 2019 | 413 pages | EPUB | 39 MB
The series Texts and Monographs in Theoretical Physics collects advanced texts on selected topics from the broad and varied field of Theoretical Physics. The works in the series will enable the readers to get a deep understanding of current topics in Theoretical Physics, with a special emphasis on recent developments. They are aimed at advanced students and researchers in theoretical and mathematical physics, and can also serve as secondary reading for lectures and seminars at post-graduate levels.

Free Download Mathematical Research for Blockchain Economy: 4th International Conference MARBLE 2023, London, United Kingdom by Panos Pardalos, Ilias Kotsireas, William J. Knottenbelt, Stefanos Leonardos
English | PDF EPUB (True) | 2023 | 193 Pages | ISBN : 3031487303 | 32.5 MB
This book presents the best papers from the 4th International Conference on Mathematical Research for Blockchain Economy (MARBLE) 2023, held in London, UK. While most blockchain conferences and forums are dedicated to business applications, product development, or Initial Coin Offering (ICO) launches, this conference focused on the mathematics behind blockchain to bridge the gap between practice and theory.

Free Download Mathematical Programming for Business and Industry by K. Brian Haley
English | PDF | 1967 | 166 Pages | ISBN : N/A | 10.8 MB
The various methods of linear programming described in this book assume a knowledge of school mathematics but are developed from typical indus- trial problems. I have attempted to use examples to show how practical complications can be introduced into the standard routines. Some of the cases that are described were chosen from less well known fields of appli- cation.

Free Download Mathematical Models of Sedimentary Processes: An International Symposium by Daniel F. Merriam (Jessie Page Heroy Professor of Geology and Chairman)
English | PDF | 1972 | 272 Pages | ISBN : 1468419978 | 24.2 MB
This volume reports the results of a symposium held in Heidelberg during the International Sedimentological Congress in late August and early September, 1971. The symposium, co sponsored by the International Association for Mathematical Geology, entertained the subject, "Mathematical Models of Sedimentary Processes. " The subject is most appropriate because sedimentologists have long been concerned with processes and mechanisms of sedi ment dispersal. Much effort has gone into building physical models such as flumes, stream tables, wave tanks, wind tunnels, etc. , to help understand sedimentological processes. Quantita tive methods (especially statistics) have been utilized in summarizing these data. It is timely then with the recent developments of simulation and application of computer tech niques that a symposium be addressed to the use of "Mathematical Models of Sedimentary Processes" involving some of these new statistically oriented methods and available data bases. Experimentation in geology has been hampered by a scale factor. That is, it is difficult to find suitab. 1e materials for physical models; it is difficult to find a mechanical de vice which properly represents the forces involved; it is almost impossible to allow adequately for geologic time. Sta tistically valid models are difficult to obtain with physical models because of material replicate problems. Most problems including the time factor, however, can be eliminated with mathematical models. Mathematical models can be infinitely varied in any number of combinations easily and quickly with the computer.

Free Download Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices: Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, October 30 – November 5, 1988 by R. E. Bank, K. Merten, R. Bulirsch
English | PDF | 1990 | 298 Pages | ISBN : 3034857004 | 21.8 MB
Numerical simulation and modelling of electric circuits and semiconductor devices are of primal interest in today’s high technology industries. At the Oberwolfach Conference more than forty scientists from around the world, in cluding applied mathematicians and electrical engineers from industry and universities, presented new results in this area of growing importance. The contributions to this conference are presented in these proceedings. They include contributions on special topics of current interest in circuit and device simulation, as well as contributions that present an overview of the field. In the semiconductor area special lectures were given on mixed finite element methods and iterative procedures for the solution of large linear systems. For three dimensional models new discretization procedures including software packages were presented. Con nections between semiconductor equations and the Boltzmann equation were shown as well as relations to the quantum transport equation. Other issues discussed in this area include the design of simulation programs for semiconductors, vectorcomputers, and interface problems in several dimensions. Topics discussed in the area of circuit simulation include the index classification of differential-algebraic systems, connections with ill-posed problems, and regularization techniques. Split discretization procedures were given for the efficient calculation of periodic solutions of circuits taking into acount the latency. Homotopy methods and new numerical techniques for differential-algebraic systems were presented, and im provements of special numerical methods for standard software packages were sug gested. The editors VII Table of Contents Circuit Simulation Merten K.

Free Download V. A. Zorich, "Mathematical Analysis II "
English | ISBN: 3662569663 | 2016 | 740 pages | EPUB | 14 MB
This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis.

Free Download Sue Michell, "Jacaranda Maths Quest 11 Mathematical Methods VCE Units 1 and 2 3e learnON and Print "
English | ISBN: 1119876419 | 2022 | 848 pages | PDF | 18 MB
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Free Download Fundamental Mathematical Modeling of Additive Manufacturing by Juha Jeronen , Tero Tuovinen , Matti Kurki
English | PDF EPUB (True) | 2023 (2024 Edition) | 524 Pages | ISBN : 3031472497 | 62.9 MB
This book elucidates the fundamental thermomechanical behaviour inherent in the 3D printing process within a laser-based powder bed fusion (L-PBF) system. It presents foundational concepts and provides in-depth derivations of the governing equations. The analysis encompasses arbitrary anisotropic linear viscoelastic materials, accounting for thermal effects. The authors leverage the theory of axially moving materials, a framework previously employed in the analysis of production processes within the process industry. They introduce a coordinate frame that moves in tandem with the printing laser, adopting an Eulerian perspective towards the in-motion solid. Designed for graduate students and researchers, this book is poised to foster a profound comprehension and spur innovative technological advancements in the realm of additive manufacturing.

Free Download Trails in Modern Theoretical and Mathematical Physics: A Volume in Tribute to Giovanni Morchio
English | 2023 | ISBN: 3031449878 | 333 Pages | PDF EPUB (True) | 20 MB
The volume begins with a biographical introduction, detailing Giovanni Morchio’s life and his role as a physicist, mathematician, teacher, and scientist. The core of the book covers a vast spectrum of ideas, reflecting Dr Morchio’s scientific interests. Each chapter develops a specific topic of modern research, ranging from quantum mechanics and quantum field theory to additional themes such as the connection between general relativity and Newtonian gravitation. Every contribution provides a historical retrospective, a survey of advances, an outlook of future perspectives and challenges, and an updated bibliography. The last part collects the authors’ recollections of their professional and personal interactions with Dr Morchio, in recognition of his deep achievements, his exceptional pedagogical qualities, and his praiseworthy social and pro bono commitment.