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Author: E. J. Hinch
Publisher: Cambridge University Press
Published: 2020-04-30
Total Pages: 243
ISBN-13: 1108479545
DOWNLOAD EBOOKThis guide to computational fluid mechanics introduces beginning graduate students to the subject's standard methods and common pitfalls.
Author: Michael H. Goldwasser
Publisher: American Mathematical Soc.
Published: 2002
Total Pages: 272
ISBN-13: 0821828924
DOWNLOAD EBOOKThe 11 papers are from two workshops: one in 1995-95 on dictionaries and priority queues, and the other in 1998-99 on near neighbor searches, the fifth and sixth DIMACS Algorithm Implementation Challenges initiated in 1991. They address those challenges with considerations of a practical perfect hashing algorithm, locally lifting the curse of dimensionality for a nearest neighbor search, and other topics. They also discuss methodology for the experimental analysis of algorithms. They are not indexed. Annotation copyrighted by Book News, Inc., Portland, OR.
Author: Michel Talagrand
Publisher: Cambridge University Press
Published: 2022-03-17
Total Pages: 760
ISBN-13: 1108247113
DOWNLOAD EBOOKQuantum field theory (QFT) is one of the great achievements of physics, of profound interest to mathematicians. Most pedagogical texts on QFT are geared toward budding professional physicists, however, whereas mathematical accounts are abstract and difficult to relate to the physics. This book bridges the gap. While the treatment is rigorous whenever possible, the accent is not on formality but on explaining what the physicists do and why, using precise mathematical language. In particular, it covers in detail the mysterious procedure of renormalization. Written for readers with a mathematical background but no previous knowledge of physics and largely self-contained, it presents both basic physical ideas from special relativity and quantum mechanics and advanced mathematical concepts in complete detail. It will be of interest to mathematicians wanting to learn about QFT and, with nearly 300 exercises, also to physics students seeking greater rigor than they typically find in their courses. Erratum for the book can be found at michel.talagrand.net/erratum.pdf.
Author: Andreas Zeller
Publisher: Morgan Kaufmann
Published: 2009-06-12
Total Pages: 425
ISBN-13: 0123745152
DOWNLOAD EBOOKAn award-winning guide to faster and easier debugging is now updated with the latest tools and techniques. It demystifies one of the toughest aspects of software programming, showing clearly how to discover what caused software failures, and fix them with minimal muss and fuss.
Author: Allan J Organ
Publisher: World Scientific
Published: 2022-12-29
Total Pages: 482
ISBN-13: 1800611064
DOWNLOAD EBOOKExisting literature focuses on the alleged merits of the Stirling engine. These are indeed latent but, decades on, remain to be fully realised. This is despite the fact that Stirling and other closed-cycle prime-movers offer a contribution to an ultra-low carbon economy. By contrast with solar panels, the initial manufacture of Stirling engines makes no demands on scarce or exotic raw materials. Further, calculating embodied carbon per kWh favours the Stirling engine by a wide margin.However, the reader expecting to find the Stirling engine promoted as a panacea for energy problems may be surprised to find the reverse. Stirling and Thermal-Lag Engines reflects upon the fact that there is more to be gained by approaching its subject as a problem than as a solution. The Achilles heel of the Stirling engine is a low numerical value of specific work, defined as work per cycle per swept volume per unit of charge pressure and conventionally denoted Beale number NB. Measured values remain unimproved since 1818, quantified here for the first time at 2% of the NB of the modern internal combustion engine! The low figure is traced to incomplete utilisation of the working gas. Only a small percentage of the charge gas — if any — is processed through a complete cycle, i.e., between temperature extremes.The book offers ready-made tools including a simplified algorithm for particle trajectory map construction; an author-patented mechanism delivering optimised working-gas distribution; flow and heat transfer data re-acquired in context and an illustrated re-derivation of the academically respected Method of Characteristics which now copes with shock formation and flow-area discontinuities. All formulations are presented in sufficient detail to allow the reader to 'pick up and run' with them using the data offered in the book.The various strands are drawn together in a comprehensively engineered design of an internally focusing solar Stirling engine, presented in a form allowing a reader with access to basic machining facilities to construct one.The sun does not always shine. But neither will the oil always flow. This new title offers an entrée to technology appropriate to the 21st century.
Author: Anita E. Solow
Publisher: Cambridge University Press
Published: 1993
Total Pages: 184
ISBN-13: 9780883850831
DOWNLOAD EBOOKThis book contains 26 laboratory modules for use in coursework or in independent projects.
Author: Carmen Chicone
Publisher: Academic Press
Published: 2016-09-24
Total Pages: 880
ISBN-13: 0128041544
DOWNLOAD EBOOKAn Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics. - Presents an integrated wealth of modeling, analysis, and numerical methods in one volume - Provides practical and comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, BEM, and FEM - Includes a rich set of applications, with more appealing problems and projects suggested
Author: Frederick Y. M. Wan
Publisher: SIAM
Published: 2018-03-20
Total Pages: 404
ISBN-13: 1611975263
DOWNLOAD EBOOKA great deal can be learned through modeling and mathematical analysis about real-life phenomena, even before numerical simulations are used to accurately portray the specific configuration of a situation. Scientific computing also becomes more effective and efficient if it is preceded by some preliminary analysis. These important advantages of mathematical modeling are demonstrated by models of historical importance in an easily understandable way. The organization of Mathematical Models and Their Analysis groups models by the issues that need to be addressed about the phenomena. The new approach shows how mathematics effective for one modeled phenomenon can be used to analyze another unrelated problem. For instance, the mathematics of differential equations useful in understanding the classical physics of planetary models, fluid motion, and heat conduction is also applicable to the seemingly unrelated phenomena of traffic flow and congestion, offshore sovereignty, and regulation of overfishing and deforestation. The formulation and in-depth analysis of these and other models on modern social issues, such as the management of exhaustible and renewable resources in response to consumption demands and economic growth, are of increasing concern to students and researchers of our time. The modeling of current social issues typically starts with a simple but meaningful model that may not capture all the important elements of the phenomenon. Predictions extracted from such a model may be informative but not compatible with all known observations; so the model may require improvements. The cycle of model formulation, analysis, interpretation, and assessment is made explicit for the modeler to repeat until a model is validated by consistency with all known facts.
Author: Peeter Joot
Publisher: Peeter Joot
Published:
Total Pages: 260
ISBN-13:
DOWNLOAD EBOOKThese were my personal lecture notes for the Fall 2010, University of Toronto Quantum mechanics I course (PHY356H1F), taught by Prof. Vatche Deyirmenjian. The official description of this course was: The general structure of wave mechanics; eigenfunctions and eigenvalues; operators; orbital angular momentum; spherical harmonics; central potential; separation of variables, hydrogen atom; Dirac notation; operator methods; harmonic oscillator and spin. This document contains a few things • My lecture notes. Typos, if any, are probably mine(Peeter), and no claim nor attempt of spelling or grammar correctness will be made. The first four lectures had chosen not to take notes for since they followed the text very closely. • Notes from reading of the text. This includes observations, notes on what seem like errors, and some solved problems. None of these problems have been graded. Note that my informal errata sheet for the text has been separated out from this document. • Some assigned problems. I have corrected some the errors after receiving grading feedback, and where I have not done so I at least recorded some of the grading comments as a reference. • Some worked problems associated with exam preparation.
Author: Joseph M. Powers
Publisher: Cambridge University Press
Published: 2023-06-29
Total Pages: 721
ISBN-13: 1316515699
DOWNLOAD EBOOKAn accessible, rigorous introduction to fluid mechanics, with a robust emphasis on theoretical foundations and mathematical exposition.
