Ben T. Yu's Books

The Power of Supply and Demand

Thinking Tools and Case Studies for Students and Professionals

By: Lawrence W.C. Lai,Ben T. Yu

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The Power of Supply and Demand

Thinking Tools and Case Studies for Students and Professionals

By: Lawrence W.C. Lai,Ben T. Yu

In contrast to many economics texts, which are often abstract and mathematical, this book uses simple language and graphs to demonstrate the general applicability of basic economic concepts, informed by ideas of the transaction cost paradigm, to a wide range of social, physical and legal phenomena. The case studies and applications collected here should enable students and practitioners, especially those in the management of the built and natural environment, to appreciate the power of economic theory in expressing, interpreting, and reviewing policies and practices.

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Page Count

353

Publisher

Hong Kong University Press

Published Date

ISBN 10

9622095690

ISBN 13

9789622095694

Robust Reliability in the Mechanical Sciences

By: Yakov Ben-Haim

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Robust Reliability in the Mechanical Sciences

By: Yakov Ben-Haim

The aim of the book is to develop methodology for reliablity analysis which is particularly suited to the types of partial information characteristic of mechanical systems and structures. The book is designed as an upper-level undergraduate or first-year graduate text on robust reliability of mechanical systems. It will give the student or engineer a working knowledge of robust reliability which will enable him to analyse the reliability of mechanical systems. Each chapter is introduced with a brief conceptual survey of the main ideas, which are then developed through examples. Problems at the end of each chapter give the student the opportunity to strengthen and extend his or her understanding.

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Page Count

243

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642611540

ISBN 13

9783642611544

Computer-Supported Calculus

By: Adi Ben-Israel,Robert P. Gilbert

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Computer-Supported Calculus

By: Adi Ben-Israel,Robert P. Gilbert

Functions, limits, and continuity.- 1 Functions.- 1.1 Introduction.- 1.2 Functions and their graphs.- 1.3 Polynomials.- 1.4 Rational functions.- 1.5 Inverse functions.- 2 Elementary functions used in calculus.- 2.1 Exponential and logarithmic functions.- 2.2 Trigonometric functions.- 2.3 Inverse trigonometric functions.- 2.4 Hyperbolic functions.- 2.5 Inverse hyperbolic functions.- 3 Limits and continuity.- 3.1 Limits.- 3.2 One-sided limits.- 3.3 Infinite limits.- 3.4 Continuous functions.- 3.5 Continuous functions on closed intervals.- 3.6 Proofs.- Derivatives.- 4 Differentiation.- 4.1 Tangency.- 4.2 Differentiability.- 4.3 Derivative function.- 4.4 Special derivatives.- 4.5 Rectilinear motion and velocity.- 4.6 Approximations.- 4.7 Higher derivatives.- 4.8 Acceleration.- 5 Differentiation rules.- 5.1 Product and quotient rules.- 5.2 Chain rule and implicit differentiation.- 5.3 Rates of change.- 5.4 Derivatives of inverse functions.- 6 Extremum problems.- 6.1 Terminology.- 6.2 Necessary condition for a local extremum.- 6.3 First-derivative test.- 6.4 Second-derivative test.- 6.5 Optimal inventory.- 6.6 Convexity.- 6.7 Analysis of graphs.- 6.8 Proofs.- 7 Mean value theorem.- 7.1 Mean value theorem.- 7.2 Rule of l'Hospital.- 7.3 Taylor theorem.- 7.4 Antiderivatives.- 7.5 Iterative methods.- 7.6 Newton method.- 7.7 Fixed points.- 7.8 Proofs.- Integrals.- 8 Definite integrals.- 8.1 Introduction.- 8.2 Riemann sums.- 8.3 Definite integral.- 8.4 Numerical integration: trapezoid method.- 8.5 Numerical integration: Simpson method.- 8.6 Proofs.- 9 Fundamental theorem of calculus.- 9.1 Indefinite integral.- 9.2 Position and distance from velocity.- 9.3 Fundamental theorem of calculus.- 9.4 List of integrals.- 9.5 Proofs.- 10 Integration techniques.- 10.1 Changing variables.- 10.2 Integration by parts.- 10.3 Rational functions.- 10.4 Improper integrals: infinite intervals.- 10.5 Improper integrals: unbounded integrands.- 11 Applications of integrals.- 11.1 Area.- 11.2 Area by polar coordinates.- 11.3 Arc length.- 11.4 Volume.- 11.5 Solids of revolution: volume.- 11.6 Solids of revolution: surface area.- 11.7 Moments and centroids.- 11.8 Centroids of three-dimensional bodies.- 11.9 Work.- 11.10 Hydrostatic force.- Series and approximations.- 12 Sequences and series.- 12.1 Sequences and convergence.- 12.2 Series.- 12.3 Convergence criteria for series.- 12.4 Proofs.- 13 Series expansions and approximations.- 13.1 Series of functions.- 13.2 Power series.- 13.3 Differentiation of power series.- 13.4 Taylor series.- 13.5 Lagrange interpolation.- 13.6 Proofs.- Appendixes.- A Introduction to MACSYMA.- A.1 MACSYMA inputs and outputs.- A.2 Getting on-line help.- A.3 Expressions.- A.4 Constants.- A.5 Numbers.- A.6 Assignments.- A.7 Equations.- A.8 Functions.- A.9 Lists.- A.10 Expanding expressions.- A.11 Simplifying expressions.- A.12 Factoring expressions.- A.13 Making substitutions.- A.14 Extracting parts of an expression.- A.15 Trigonometric functions.- A.16 A simple program.- A.17 Plotting.- B Numbers.- B.1 Arithmetic operations.- B.2 Real numbers.- B.3 Absolute value.- B.4 Equations and inequalities.- B.5 Two fundamental properties of real numbers.- B.6 Complex numbers.- C Analytical geometry.- C.2 Lines.- C.3 Circles.- C.4 Sine, cosine, and tangent.- C.5 Polar coordinates.- D Conic sections.- D.l Conic sections.- D.2 Circle.- D.3 Parabola.- D.4 Ellipse.- D.5 Hyperbola.

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582

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3211829245

ISBN 13

9783211829240

Boron Nitride Nanomaterials

Properties, Fabrication, and Applications

By: Ben McLean,Alister J. Page

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Boron Nitride Nanomaterials

Properties, Fabrication, and Applications

By: Ben McLean,Alister J. Page

Boron nitride was first produced in the 18th century and, by virtue of its extraordinary mechanical strength, has found extensive application in industrial processes since the 1940s. However, the more recent discovery that boron nitride allotropes are as structurally diverse as those of carbon (e.g. fullerenes, graphene, carbon nanotubes) has placed this material, and particularly its low-dimensional allotropes, back at the forefront of modern material science. This book provides a comprehensive history of this rapid rise in the status of boron nitride and boron nitride nanomaterials, spanning the earliest examples of three-dimensional boron nitride allotropes, through to contemporary structures such as monolayer hexagonal boron nitride, boron nitride nanomeshes, boron nitride nanotubes and the incorporation of boron nitride into cutting-edge van der Waals heterostructures. It specifically focuses on the properties, applications and synthesis techniques for each of these allotropes and examines how the evolution in boron nitride production methods is linked to that in our understanding of how low-dimensional nanomaterials self-assemble, or ‘grow’, during synthesis. The book demonstrates the key synergy between growth mechanisms and the development of new, advanced nanostructured materials.

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Page Count

226

Publisher

CRC Press

Published Date

ISBN 10

1000636674

ISBN 13

9781000636673

Optimal Design of Distributed Control and Embedded Systems

By: Arben Çela,Mongi Ben Gaid,Xu-Guang Li,Silviu-Iulian Niculescu

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Optimal Design of Distributed Control and Embedded Systems

By: Arben Çela,Mongi Ben Gaid,Xu-Guang Li,Silviu-Iulian Niculescu

Optimal Design of Distributed Control and Embedded Systems focuses on the design of special control and scheduling algorithms based on system structural properties as well as on analysis of the influence of induced time-delay on systems performances. It treats the optimal design of distributed and embedded control systems (DCESs) with respect to communication and calculation-resource constraints, quantization aspects, and potential time-delays induced by the associated communication and calculation model. Particular emphasis is put on optimal control signal scheduling based on the system state. In order to render this complex optimization problem feasible in real time, a time decomposition is based on periodicity induced by the static scheduling is operated. The authors present a co-design approach which subsumes the synthesis of the optimal control laws and the generation of an optimal schedule of control signals on real-time networks as well as the execution of control tasks on a single processor. The authors also operate a control structure modification or a control switching based on a thorough analysis of the influence of the induced time-delay system influence on stability and system performance in order to optimize DCES performance in case of calculation and communication resource limitations. Although the richness and variety of classes of DCES preclude a completely comprehensive treatment or a single “best” method of approaching them all, this co-design approach has the best chance of rendering this problem feasible and finding the optimal or some sub-optimal solution. The text is rounded out with references to such applications as car suspension and unmanned vehicles. Optimal Design of Distributed Control and Embedded Systems will be of most interest to academic researchers working on the mathematical theory of DCES but the wide range of environments in which they are used also promotes the relevance of the text for control practitioners working in the avionics, automotive, energy-production, space exploration and many other industries.

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Page Count

297

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3319027298

ISBN 13

9783319027296

Book's by Ben T. Yu

The Power of Supply and Demand

The Power of Supply and Demand

Robust Reliability in the Mechanical Sciences

Robust Reliability in the Mechanical Sciences

Computer-Supported Calculus

Computer-Supported Calculus

Boron Nitride Nanomaterials

Boron Nitride Nanomaterials

Optimal Design of Distributed Control and Embedded Systems

Optimal Design of Distributed Control and Embedded Systems

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