The Math Mechanic Series

The Math Mechanic Series PDF
Author: The Math Mechanic
Publisher: Virtualbookworm Publishing
ISBN: 9781589393714
Size: 56.65 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 76
View: 6970

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The Math Mechanic Series

by The Math Mechanic, The Math Mechanic Series Books available in PDF, EPUB, Mobi Format. Download The Math Mechanic Series books, The Math Mechanic does the dirty work that textbooks and other supplementary books don't. It shows the step-by-step mechanics of solving mathematical problems. To survive in today's world it is imperative that you have the ability to solve mathematical problems. Whether it is working out problems for schoolwork or performing calculations related to money, strong mathematical skills are a necessity. Our books are easy to understand guides that are designed to eliminate the frustration that many Children and Adults have with mathematics. Each book is a combined Tutorial, Workbook, and Reference Manual. From Students to Parents to Professionals, The Math Mechanic Series provides the most potent and comprehensive set of tools for helping anyone to become proficient with mathematics.


Contributions To Current Challenges In Mathematical Fluid Mechanics

Contributions to Current Challenges in Mathematical Fluid Mechanics PDF
Author: Giovanni P. Galdi
Publisher: Birkhäuser
ISBN: 303487877X
Size: 78.41 MB
Format: PDF, Mobi
Category : Science
Languages : en
Pages : 152
View: 3339

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Contributions To Current Challenges In Mathematical Fluid Mechanics

by Giovanni P. Galdi, Contributions To Current Challenges In Mathematical Fluid Mechanics Books available in PDF, EPUB, Mobi Format. Download Contributions To Current Challenges In Mathematical Fluid Mechanics books, This volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compressible and incompressible fluids, and to related questions. All results given here are new and represent a noticeable contribution to the subject. One of the most famous predictions of the Kolmogorov theory of turbulence is the so-called Kolmogorov-obukhov five-thirds law. As is known, this law is heuristic and, to date, there is no rigorous justification. The article of A. Biryuk deals with the Cauchy problem for a multi-dimensional Burgers equation with periodic boundary conditions. Estimates in suitable norms for the corresponding solutions are derived for "large" Reynolds numbers, and their relation with the Kolmogorov-Obukhov law are discussed. Similar estimates are also obtained for the Navier-Stokes equation. In the late sixties J. L. Lions introduced a "perturbation" of the Navier Stokes equations in which he added in the linear momentum equation the hyper dissipative term (-Ll),Bu, f3 ~ 5/4, where Ll is the Laplace operator. This term is referred to as an "artificial" viscosity. Even though it is not physically moti vated, artificial viscosity has proved a useful device in numerical simulations of the Navier-Stokes equations at high Reynolds numbers. The paper of of D. Chae and J. Lee investigates the global well-posedness of a modification of the Navier Stokes equation similar to that introduced by Lions, but where now the original dissipative term -Llu is replaced by (-Ll)O:u, 0 S Ct


The Mathematics And Mechanics Of Biological Growth

The Mathematics and Mechanics of Biological Growth PDF
Author: Alain Goriely
Publisher: Springer
ISBN: 038787710X
Size: 58.72 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 646
View: 3712

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The Mathematics And Mechanics Of Biological Growth

by Alain Goriely, The Mathematics And Mechanics Of Biological Growth Books available in PDF, EPUB, Mobi Format. Download The Mathematics And Mechanics Of Biological Growth books, This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods are illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.


An Introduction To The Mathematical Structure Of Quantum Mechanics

An Introduction to the Mathematical Structure of Quantum Mechanics PDF
Author: F. Strocchi
Publisher: World Scientific
ISBN: 9812564314
Size: 65.87 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 146
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An Introduction To The Mathematical Structure Of Quantum Mechanics

by F. Strocchi, An Introduction To The Mathematical Structure Of Quantum Mechanics Books available in PDF, EPUB, Mobi Format. Download An Introduction To The Mathematical Structure Of Quantum Mechanics books, This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac-Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C--algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert space vectors and operators is then derived from the GNS and Gelfand-Naimark Theorems.For finite degrees of freedom, the Weyl algebra codifies the experimental limitations on the measurements of position and momentum (Heisenberg uncertainty relations) and Schroedinger QM follows from the von Neumann uniqueness theorem.The existence problem of the dynamics is related to the self-adjointness of the differential operator describing the Hamiltonian and solved by the Rellich-Kato theorems. Examples are discussed which include the explanation of the discreteness of the atomic spectra.Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman-Kac formula), the formulation in terms of ground state correlations (Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle as an example of the interplay between topology and functional integral is also discussed in detail.


Resource Recovery Confinement And Remediation Of Environmental Hazards

Resource Recovery  Confinement  and Remediation of Environmental Hazards PDF
Author: John M. Chadam
Publisher: Springer Science & Business Media
ISBN: 9780387955063
Size: 43.47 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 299
View: 3944

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Resource Recovery Confinement And Remediation Of Environmental Hazards

by John M. Chadam, Resource Recovery Confinement And Remediation Of Environmental Hazards Books available in PDF, EPUB, Mobi Format. Download Resource Recovery Confinement And Remediation Of Environmental Hazards books, The papers in this volume arose out of two workshops entitled "Confinement and Remediation of Environmental Hazards," and "Resource Recovery," as part of the IMA 1999-2000 program year. These workshops brought together mathematicians, engineers and scientists to summarize recent theoretical, computational, and experimental advances in the theory of phenomena in porous media. The first workshop focused on the mathematical problems which arise in groundwater transport of contamination, and the spreading, confinement and remediation of biological, chemical and radioactive waste. In the second conference, the processes underlying petroleum recovery and the geological time scale of deformation, flow and reaction in porous media were discussed. Simulation techniques were used to simulate complex domains with widely-ranging spatial resolution and types of physics. Probability funcional methods for determining the most probable state of the subsurface and related uncertainty were discussed. Practical examples included breakout from chemical and radioactive waste repositories, confinement by injection of pore plugging material and bioremediation of petroleum and other wastes. This volume will be of interest to subsurface science practitioners who would like a view of recent mathematical and experimental efforts to examine subsurface science phenomena related to resource recovery and remediation issues.


Books In Series 1985 89

Books in Series  1985 89 PDF
Author:
Publisher:
ISBN:
Size: 65.20 MB
Format: PDF, ePub
Category : Monographic series
Languages : en
Pages : 2529
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Books In Series 1985 89

by , Books In Series 1985 89 Books available in PDF, EPUB, Mobi Format. Download Books In Series 1985 89 books,


Towards The Mathematics Of Quantum Field Theory

Towards the Mathematics of Quantum Field Theory PDF
Author: Frédéric Paugam
Publisher: Springer Science & Business Media
ISBN: 3319045644
Size: 45.16 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 487
View: 860

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Towards The Mathematics Of Quantum Field Theory

by Frédéric Paugam, Towards The Mathematics Of Quantum Field Theory Books available in PDF, EPUB, Mobi Format. Download Towards The Mathematics Of Quantum Field Theory books, This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use. This in turn promotes the interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, though mathematicians are the primary target. This reference work provides a coherent and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The first part of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory of non-linear partial differential equations, with applications to general gauge theories. The second part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the third part provides an introduction to quantum field theory, presents various renormalization methods, and discusses the quantization of factorization algebras.


Mathematical Topics In Fluid Mechanics Volume 1 Incompressible Models

Mathematical Topics in Fluid Mechanics  Volume 1  Incompressible Models PDF
Author: Pierre-Louis Lions
Publisher: Oxford University Press on Demand
ISBN: 9780198514879
Size: 68.78 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 252
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Mathematical Topics In Fluid Mechanics Volume 1 Incompressible Models

by Pierre-Louis Lions, Mathematical Topics In Fluid Mechanics Volume 1 Incompressible Models Books available in PDF, EPUB, Mobi Format. Download Mathematical Topics In Fluid Mechanics Volume 1 Incompressible Models books, One of the most challenging topics in applied mathematics over the past decades has been the developent of the theory of nonlinear partial differential equations. Many of the problems in mechanics, geometry, probability, etc lead to such equations when formulated in mathematical terms. However, despite a long history of contributions, there exists no central core theory, and the most important advances have come from the study of particular equations and classes of equations arising in specific applications. This two volume work forms a unique and rigorous treatise on various mathematical aspects of fluid mechanics models. These models consist of systems of nonlinear partial differential equations like the incompressible and compressible Navier-Stokes equations. The main emphasis in Volume 1 is on the mathematical analysis of incompressible models. After recalling the fundamental description of Newtonian fluids, an original and self-contained study of both the classical Navier-Stokes equations (including the inhomogenous case) and the Euler equations is given. Known results and many new results about the existence and regularity of solutions are presented with complete proofs. The discussion contiatns many interesting insights and remarks. The text highlights in particular the use of modern analytical tools and methods and also indicates many open problems. Volume 2 will be devoted to essentially new results for compressible models. Written by one of the world's leading researchers in nonlinear partial differential equations, Mathematical Topics in Fluid Mechanics will be an indispensable reference for every serious researcher in the field. Its topicality and the clear, concise, and deep presentation by the author make it an outstanding contribution to the great theoretical problems in science concerning rigorous mathematical modelling of physical phenomena. Pierre-Louis Lions is Professor of Mathematics at the University of Paris-Dauphine and of Applied Mathematics at the Ecole Polytechnique.


Cambridge International As And A Level Mathematics Mechanics Coursebook

Cambridge International AS and A Level Mathematics  Mechanics Coursebook PDF
Author: Jan Dangerfield
Publisher: Cambridge University Press
ISBN: 1108407269
Size: 27.91 MB
Format: PDF, ePub, Mobi
Category : Education
Languages : en
Pages : 246
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Cambridge International As And A Level Mathematics Mechanics Coursebook

by Jan Dangerfield, Cambridge International As And A Level Mathematics Mechanics Coursebook Books available in PDF, EPUB, Mobi Format. Download Cambridge International As And A Level Mathematics Mechanics Coursebook books, This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Mechanics matches the corresponding unit of the syllabus, with clear and logical progression through. It contains materials on topics such as velocity and acceleration, force and motion, friction, connected particles, motion in a straight line, momentum, and work and energy. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.


The Mathematical Visitor

The Mathematical Visitor PDF
Author:
Publisher:
ISBN:
Size: 10.94 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages :
View: 913

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The Mathematical Visitor

by , The Mathematical Visitor Books available in PDF, EPUB, Mobi Format. Download The Mathematical Visitor books,