## Similar

· Boltzmann equation (BE) is valid only for particles, which can be considered as material points, generalized Boltzmann equation (GBE) removes this restriction.

· GBE contains additional terms in comparison with BE, which cannot be omitted

· GBE leads to strict theory of turbulence

· GBE gives all micro-scale turbulent fluctuations in tabulated closed analytical form for all flows

· GBE leads to generalization of electro-dynamic Maxwell equations

· GBE gives new generalized hydrodynamic equations (GHE) more effective than classic Navier-Stokes equations

· GBE can be applied for description of flows for intermediate diapason of Knudsen numbers

· Asymptotical solutions of GBE remove contradictions in the theory of Landau damping in plasma

The book complements the author’s previous monograph on Unified Non-Local Theory of Transport Processes (Elsevier, 2015), which is mainly devoted to non-relativistic non-local physics. Nevertheless, the theory as handled in this new work is outlined independently so the book can be studied on its own.

Comprehensive collection of non-local relativistic theory with examples that could previously only be found scattered in the literatureProvides applications in quantum non-local relativistic hydrodynamics, quantum solitons in solid matter, and plasmasUses generalized non-local kinetic theory as a highly effective tool for solving many physical problems beyond classical physicsPresents non-local relativistic physics in many related problems of hydrodynamics, gravity, nonlinear optics, time quantization, and applied mathematicsIncludes concrete mathematical problems that are physically consistent and can be solved and studied both analytically and numericallyHelping you overcome these hurdles, Hydraulic Power System Analysis demonstrates modern computer-aided analytical techniques used to model nonlinear, dynamic fluid power systems. Following an overview of fluid power, the authors examine various relevant fluid properties, energy calculations, and steady state and dynamic analysis along with a review of automatic control theory. Turning to modeling, the next few chapters address valves and motors and then apply dynamic modeling to examples relating to pumps, hydrostatic transmissions, and valves. The book includes a unique chapter showing how to combine flow resistance equations with the differential equations governing dynamic system performance. The final chapter translates electrical circuit theory concepts to noise attenuation in fluid power systems.

Illustrated with many equations, practical computer modeling examples, and exercises, Hydraulic Power System Analysis provides a much-needed modernization of dynamic modeling for fluid power systems using powerful computational tools.

What’s New in This Edition:

Includes more than 150 full-color images which significantly improve the reader’s ability to understand pump drawings and curves

Introduces a new chapter on pump case studies in a format that provides case study background, analysis, solutions, and lessons learned

Presents important new updates and additions to other chapters

Includes a ten-step procedure for determining total pump head

Discusses allowable and preferred operating ranges for centrifugal pumps

Provides charts covering maximum and normally attainable pump efficiencies, performance corrections for slurry pumps, and mechanical seal flush plans

Pump Characteristics and Applications, Third Edition is appropriate for readers with all levels of technical experience, including engineering and pump industry professionals, pump operators and maintenance technicians, upper-level undergraduate and graduate students in mechanical engineering, and students in engineering technology programs.

The Mechanical Engineering Reference Manual is the most comprehensive textbook for the Mechanical PE exam. This book's time-tested organization and clear explanations start with the basics to help you quickly get up to speed on common mechanical engineering concepts. Together, the 76 chapters provide an in-depth review of NCEES Mechanical PE exam topics. The extensive index contains thousands of terms, most indexed in a variety of ways, in anticipation of how you'll search for them.

Features of the Mechanical Engineering Reference Manual: • over 120 appendices containing essential support material • over 375 clarifying example problems • thousands of equations, figures, and tables • industry-standard terminology and nomenclature • equal support of U.S. customary and SI units

After you pass your exam, the Mechanical Engineering Reference Manual will continue to serve as an invaluable reference throughout your mechanical engineering career.

Topics Covered: • Dynamics and Vibrations: Kinematics; Kinetics; Power Transmission Systems; Vibrating Systems • Materials: Engineering Materials Properties and Testing; Thermal Treatment of Metals • Fluids: Fluid Properties; Fluid Statics; Fluid Flow Parameters; Fluid Dynamics; Hydraulic Machines • Power Cycles: Vapor, Combustion, and Nuclear Power Cycles; Refrigeration and Gas Compression Cycles • HVAC: Psychrometrics; Fans, Ductwork, and Ventilation; Heating and Cooling Loads; Air Conditioning Systems • Heat Transfer: Natural Convection; Evaporation; Condensation; Forced Convection; Radiation • Machine Design: Basic and Advanced Machine Design; Pressure Vessels • Thermodynamics: Inorganic Chemistry; Fuels and Combustion; Properties of Substances • Control Systems: Modeling and Analysis of Engineering Systems • Plant Engineering: Manufacturing Processes; Instrumentation and Measurements; Materials Handling and Processing; Fire Protection Systems; Environmental Pollutants and Remediation; Hazardous Material Storage and Disposal • Fundamentals: Math Review; Probability; Statics; Engineering Economic Analysis • Law and Ethics: Engineering Law; Ethics

What's New in This Edition: • 36 chapters with new material, and 46 chapters with revisions to existing material • 300 new equations, and 128 updated equations • 27 new tables, and 31 updated tables • 7 new examples, and 34 updated examples • 10 new appendices, and 27 updated appendices • 35 new figures, and 28 updated figures • 1,094 new index entries, and 108 updated index entries

What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry.

In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.

Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before.

At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Written by experts from around the world, the handbook covers all major classes of hydraulic fluids in detail, delving into chemistry, design, fluid maintenance and selection, and other key concepts. It also offers a rigorous overview of hydraulic fluid technology and evaluates the ecological benefits of water and its use as an important alternative technology. This complete overview discusses pumps and motors, valves, and reservoir design, as well as fluid properties and associated topics. These include air entrainment, modulus, lubrication and wear assessment by bench and pump testing, biodegradability, and fire resistance. Contributors also present particularly important material on biodegradable fluids and the use of water as a hydraulic fluid.

As the foremost resource on the design, selection, and testing of hydraulic systems and fluids used in engineering applications, this book contains new illustrations, data tables, and practical examples, all updated with essential information on the latest methods. To streamline presentation, relevant content from the first edition has been integrated into this new version, where appropriate. The result is a reference that helps readers develop an unparalleled understanding of the total hydraulic system, including essential hardware, fluid properties, and hydraulic lubricants.

This book provides an introduction into the wide range of activities that are possible in aqueous mixtures. It is organized to facilitate understanding of the main features, outlines the main applications, and gives access to further information

Summarizes fundamental properties of water for engineering applicationsCompares process and reactor designsEvaluates processes from thermodynamic, economic, and social impact viewpointsWithin this context, readers will find valuable information that explores refrigeration and heat pump systems using natural refrigerants, polygeneration systems, the energy efficiency of thermal systems, the utilization of low temperature waste heat, and cleaner production.

The book also examines the technical, economic, and environmental reasons of R718 refrigeration/heat pump systems and how they are competitive with traditional systems, serving as a valuable reference for engineers who work in the design and construction of thermal plants and systems, and those who wish to specialize in the use of R718 as a refrigerant in these systems.

Describes existing novel R718 turbo compressor and ejector refrigeration/heat pump systems and technologiesProvides procedures calculating and optimizing cycles, system components, and system structuresEstimates the performance characteristics of the thermal systemsExposes the possibilities for wider applications of R718 systems in the field of refrigeration and heat pumpsThe material added to this new edition will provide insights gathered over 45 years of studying fluid mechanics. Many of these insights, such as universal dimensionless similarity scaling for the laminar boundary layer equations, are available nowhere else. Likewise for the generalized vector field derivatives. Other material, such as the generalized stream function treatment, shows how stream functions may be used in three-dimensional flows. The CFD chapter enables computations of some simple flows and provides entrée to more advanced literature.

*New and generalized treatment of similar laminar boundary layers.

*Generalized treatment of streamfunctions for

three-dimensional flow .

*Generalized treatment of vector field derivatives.

*Expanded coverage of gas dynamics.

*New introduction to computational fluid dynamics.

*New generalized treatment of boundary conditions in fluid mechanics.

*Expanded treatment of viscous flow with more examples.

The most valuable and reader-friendly reference available for engineers concerned with the optimization of liquid transportation through pipelines

This book also:

· Adopts a novel inductive pedagogy where commonly understood examples are introduced early and theory is developed to explain and predict readily recognized phenomena

· Introduces new techniques as needed to address specific problems, in contrast to traditional texts’ use of a deductive approach, where abstract general principles lead to specific examples

· Elucidates readers’ understanding of the "heat transfer takes time" idea—transient analysis applications are introduced first and steady-state methods are shown to be a limiting case of those applications

· Focuses on basic numerical methods rather than analytical methods of solving partial differential equations, largely obsolete in light of modern computer power

· Maximizes readers’ insights to heat transfer modeling by framing theory as an engineering design tool, not as a pure science, as has been done in traditional textbooks

· Integrates practical use of spreadsheets for calculations and provides many tips for their use throughout the text examples

This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms.

Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.

The translation-only edition of this preeminent work is truly accessible for today's scientists, scholars, and students.

Two physically different dampers (magnetorheological and controlled-friction) are analysed from the perspectives of mechatronics and control. Ride comfort, road holding, road damage and human-body modelling (nonlinear visceral response in particular) are studied.

A multidisciplinary approach is adopted throughout the book. Sound mathematical modelling is balanced by a large and detailed section on experimental implementation, where a variety of automotive applications are described offering a well-rounded view of the application of such systems. The implementation of control algorithms with regard to real-life engineering constraints is emphasised.

The applications described include semi-active suspensions for a saloon car, seat suspensions for vehicles not equipped with a primary suspension, and control of heavy-vehicle dynamic-tyre loads to reduce road damage and improve handling.

Engineers and practitioners working in noise and vibration; automotive engineers working in vehicle design, research and development; biomechanical engineers, physicists and life-scientists interested in human-body responses to vibration; and graduate students in vehicle studies, mechanics of vibration, dynamics and control will find this book of material assistance in their work.

This authoritative, modern translation by I. Bernard Cohen and Anne Whitman, the first in more than 285 years, is based on the 1726 edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms.

Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.

The illuminating Guide to Newton's Principia by I. Bernard Cohen makes this preeminent work truly accessible for today's scientists, scholars, and students.

Physicist Dave Goldberg speeds across space, time and everything in between showing that our elegant universe—from the Higgs boson to antimatter to the most massive group of galaxies—is shaped by hidden symmetries that have driven all our recent discoveries about the universe and all the ones to come.

Why is the sky dark at night? If there is anti-matter, can there be anti-people? Why are past, present, and future our only options? Saluting the brilliant but unsung female mathematician Emmy Noether as well as other giants of physics, Goldberg answers these questions and more, exuberantly demonstrating that symmetry is the big idea—and the key to what lies ahead.

From the Trade Paperback edition.

"Such a richness of topics and amazing splendor of illustrations!" — Mathematics Magazine

"An inviting exposition for a literate but not highly scientific audience." — American Mathematical Monthly

This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. Author Manfred Schroeder — hailed by Publishers Weekly as a modern Lewis Carroll — conveys memorable insights in the form of puns and puzzles that relate abstract mathematics to everyday experience.

Excellent entertainment for readers with a grasp of algebra and some calculus, this book forms a fine university-level introduction to fractal math. Eight pages of color images clarify the text, along with numerous black-and-white illustrations.

Knowledge flow- A mobile learning platform provides Apps and Books.

Knowledge flow provides learning book of Fluid Mechanics. This book is for all engineering students and professionals across the world. Fluid Mechanics deals with forces and flow within fluids and this fluid mechanics book describes very basic concepts of fluid in an easiest way.

Contents:

1. Introduction to Fluid Mechanics

2. Properties of Fluids

3. Bernoulli's Theorem

4. Newton’s Law of Viscosity

5. Pascal's Law of Fluid Pressure

6. Fluid coupling

7. Pumps

8. Compressors

9. Hydraulic Turbine

10. Hydraulic Power Plant

To find more education books, visit here http://knowledgeflow.in/books.

This is an ideal text for upper-level undergraduates in physics, applied physics, physical chemistry, biophysics, and all areas of engineering. It allows physics professors to prepare students for a wide range of employment in science and engineering and makes an excellent reference for scientists and engineers in industry. Worked out examples appear throughout the book and exercises follow every chapter. Solutions to the odd-numbered exercises are available for lecturers at www.wiley-vch.de/textbooks/.

It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived.

As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations.

A comprehensive and comprehensible introduction to the subject, this book is ideal for undergraduates in computer science, physicists, communications engineers, workers involved in artificial intelligence, biologists, psychologists, and physiologists.

- Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis.

This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.

This comprehensive book is an earnest endeavour to apprise the readers with a thorough understanding of all important basic concepts and methods of fluid mechanics and hydraulic machines. The text is organised into sixteen chapters, out of which the first twelve chapters are more inclined towards imparting the conceptual aspects of fluids mechanics, while the remaining four chapters accentuate more on the details of hydraulic machines. The book is supplemented with solutions manual for instructors containing detailed solutions of all chapter-end unsolved problems. Primarily intended as a text for the undergraduate students of civil, mechanical, chemical and aeronautical engineering, this book will be of immense use to the postgraduate students of hydraulics engineering, water resources engineering, and fluids engineering.

Key features

• The book describes all concepts in easy-to-grasp language with diagrammatic representation and practical examples.

• A variety of worked-out examples are included within the text, illustrating the wide applications of fluid mechanics.

• Every chapter comprises summary that presents the main idea and relevant details of the topics discussed.

• Almost all chapters incorporate objective type questions of previous years’ GATE examinations, along with their answers and in-depth explanations.

• Previous years’ IES conventional questions are provided at the end of most of the chapters.

• A set of theoretical questions and numerous unsolved numerical problems are provided at the chapter-end to help the students from practice pointof-view.

• Every chapter consists of a section Suggested Reading comprising a list of publications that the students may refer for more detailed information.

Since the first edition only five years ago, the simulation world has changed significantly -- current techniques have matured and new ones have appeared. This new edition deals with these new developments; in particular, there are sections on:

· Transition path sampling and diffusive barrier crossing to simulaterare events

· Dissipative particle dynamic as a course-grained simulation technique

· Novel schemes to compute the long-ranged forces

· Hamiltonian and non-Hamiltonian dynamics in the context constant-temperature and constant-pressure molecular dynamics simulations

· Multiple-time step algorithms as an alternative for constraints

· Defects in solids

· The pruned-enriched Rosenbluth sampling, recoil-growth, and concerted rotations for complex molecules

· Parallel tempering for glassy Hamiltonians

Examples are included that highlight current applications and the codes of case studies are available on the World Wide Web. Several new examples have been added since the first edition to illustrate recent applications. Questions are included in this new edition. No prior knowledge of computer simulation is assumed.

Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure.

The book is arranged in four sections, devoted to realizing the universal principle force equals curvature:

Part I: The Euclidean Manifold as a Paradigm

Part II: Ariadne's Thread in Gauge Theory

Part III: Einstein's Theory of Special Relativity

Part IV: Ariadne's Thread in Cohomology

For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum.

Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).