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Books > Science & Mathematics > Mathematics > Applied mathematics

Cosserat Plate Theory (Hardcover): Lev Steinberg, Roman Kvasov Cosserat Plate Theory (Hardcover)
Lev Steinberg, Roman Kvasov
R1,493 Discovery Miles 14 930 Ships in 9 - 15 working days

This book presents the foundation and validation of the Cosserat Plate Theory, numerical experiments of deformation and vibration, and the unique properties of the Cosserat plates. Our approach incorporates the high accuracy assumptions of the Cosserat plate deformation consistent with the Cosserat Elasticity equilibrium equations, constitutive formulas, strain-displacement and torsion-microrotation relations. The Cosserat Plate Theory is parametric, where the "splitting parameter" minimizes the Cosserat plate energy. The validation of the theory is based on the comparison with the three-dimensional Cosserat Elastostatics and Elastodynamics. The numerical results are obtained using the Finite Element Method (FEM) specifically developed to solve the parametric system of equations. The analysis of deformation of a variety of Cosserat plates shows the stress concentration reduction, higher stiffness of Cosserat plates, and the size-effect related to the microstructure. The analysis of vibration of Cosserat plates predicts size-related properties of the plate vibration, the existence of the additional so-called Cosserat plate resonances, and the dynamic anisotropy, related to the dependency of the resonances on the microelement's shapes and orientations.

Stochastic Modelling of Big Data in Finance (Hardcover): Anatoliy Swishchuk Stochastic Modelling of Big Data in Finance (Hardcover)
Anatoliy Swishchuk
R2,330 Discovery Miles 23 300 Ships in 9 - 15 working days

Features Self-contained book suitable for graduate students and post-doctoral fellows in financial mathematics and data science, as well as for practitioners working in the financial industry who deal with big data All results are presented visually to aid in understanding of concepts.

Financial Economics and Econometrics (Paperback): Nikiforos T. Laopodis Financial Economics and Econometrics (Paperback)
Nikiforos T. Laopodis
R2,239 Discovery Miles 22 390 Ships in 9 - 15 working days

Financial Economics and Econometrics provides an overview of the core topics in theoretical and empirical finance, with an emphasis on applications and interpreting results. Structured in five parts, the book covers financial data and univariate models; asset returns; interest rates, yields and spreads; volatility and correlation; and corporate finance and policy. Each chapter begins with a theory in financial economics, followed by econometric methodologies which have been used to explore the theory. Next, the chapter presents empirical evidence and discusses seminal papers on the topic. Boxes offer insights on how an idea can be applied to other disciplines such as management, marketing and medicine, showing the relevance of the material beyond finance. Readers are supported with plenty of worked examples and intuitive explanations throughout the book, while key takeaways, 'test your knowledge' and 'test your intuition' features at the end of each chapter also aid student learning. Digital supplements including PowerPoint slides, computer codes supplements, an Instructor's Manual and Solutions Manual are available for instructors. This textbook is suitable for upper-level undergraduate and graduate courses on financial economics, financial econometrics, empirical finance and related quantitative areas.

Portfolio Optimization (Hardcover): Michael J. Best Portfolio Optimization (Hardcover)
Michael J. Best
R2,893 Discovery Miles 28 930 Ships in 12 - 17 working days

Eschewing a more theoretical approach, Portfolio Optimization shows how the mathematical tools of linear algebra and optimization can quickly and clearly formulate important ideas on the subject. This practical book extends the concepts of the Markowitz "budget constraint only" model to a linearly constrained model.

Only requiring elementary linear algebra, the text begins with the necessary and sufficient conditions for optimal quadratic minimization that is subject to linear equality constraints. It then develops the key properties of the efficient frontier, extends the results to problems with a risk-free asset, and presents Sharpe ratios and implied risk-free rates. After focusing on quadratic programming, the author discusses a constrained portfolio optimization problem and uses an algorithm to determine the entire (constrained) efficient frontier, its corner portfolios, the piecewise linear expected returns, and the piecewise quadratic variances. The final chapter illustrates infinitely many implied risk returns for certain market portfolios.

Drawing on the author 's experiences in the academic world and as a consultant to many financial institutions, this text provides a hands-on foundation in portfolio optimization. Although the author clearly describes how to implement each technique by hand, he includes several MATLAB programs designed to implement the methods and offers these programs on the accompanying CD-ROM.

An Introduction To Chaotic Dynamical Systems (Hardcover, 3rd edition): Robert L. Devaney An Introduction To Chaotic Dynamical Systems (Hardcover, 3rd edition)
Robert L. Devaney
R2,571 Discovery Miles 25 710 Ships in 9 - 15 working days

* Greatly expanded coverage complex dynamics now in Chapter 2 * The third chapter is now devoted to higher dimensional dynamical systems. * Chapters 2 and 3 are independent of one another. * New exercises have been added throughout.

Integer Programming, Second Edition (Hardcover, 2nd Edition): L.A. Wolsey Integer Programming, Second Edition (Hardcover, 2nd Edition)
L.A. Wolsey
R2,852 Discovery Miles 28 520 Ships in 12 - 17 working days

A PRACTICAL GUIDE TO OPTIMIZATION PROBLEMS WITH DISCRETE OR INTEGER VARIABLES, REVISED AND UPDATED The revised second edition of Integer Programming explains in clear and simple terms how to construct custom-made algorithms or use existing commercial software to obtain optimal or near-optimal solutions for a variety of real-world problems. The second edition also includes information on the remarkable progress in the development of mixed integer programming solvers in the 22 years since the first edition of the book appeared. The updated text includes information on the most recent developments in the field such as the much improved preprocessing/presolving and the many new ideas for primal heuristics included in the solvers. The result has been a speed-up of several orders of magnitude. The other major change reflected in the text is the widespread use of decomposition algorithms, in particular column generation (branch-(cut)-and-price) and Benders' decomposition. The revised second edition: Contains new developments on column generation Offers a new chapter on Benders' algorithm Includes expanded information on preprocessing, heuristics, and branch-and-cut Presents several basic and extended formulations, for example for fixed cost network flows Also touches on and briefly introduces topics such as non-bipartite matching, the complexity of extended formulations or a good linear program for the implementation of lift-and-project Written for students of integer/mathematical programming in operations research, mathematics, engineering, or computer science, Integer Programming offers an updated edition of the basic text that reflects the most recent developments in the field.

Enriching Psychoanalysis - Integrating Concepts from Contemporary Science and Philosophy (Paperback): John Turtz, Gerald J.... Enriching Psychoanalysis - Integrating Concepts from Contemporary Science and Philosophy (Paperback)
John Turtz, Gerald J. Gargiulo
R1,004 Discovery Miles 10 040 Ships in 9 - 15 working days

- integrates contemporary science, philosophy, and psychoanalysis - first book on the market to discuss more than one area of contemporary science in relation to psychoanalysis

How to Be a Quantum Mechanic (Paperback): Charles G. Wohl How to Be a Quantum Mechanic (Paperback)
Charles G. Wohl
R1,397 Discovery Miles 13 970 Ships in 9 - 15 working days

- Covers both continuum differential equation approach and matrix algebra. - Refined lecture notes, tested on students for over 30 years.

Lost in Math - How Beauty Leads Physics Astray (Paperback): Sabine Hossenfelder Lost in Math - How Beauty Leads Physics Astray (Paperback)
Sabine Hossenfelder
R503 R360 Discovery Miles 3 600 Save R143 (28%) Ships in 12 - 17 working days
Phase Transformations in Metals and Alloys (Paperback, 4th edition): David A. Porter, Kenneth E. Easterling, Mohamed Y. Sherif Phase Transformations in Metals and Alloys (Paperback, 4th edition)
David A. Porter, Kenneth E. Easterling, Mohamed Y. Sherif
R1,819 Discovery Miles 18 190 Ships in 9 - 15 working days

Discusses advances in the computation of phase diagrams Offers expanded treatment of eutectic solidification with practical examples and new coverage of ternary phase diagrams, covering the concepts of orthoequilibrium and paraequilibrium Updates discussion of bainite transformation to reflect current opinions Includes new case studies covering grain refiners in aluminium alloys, additive manufacturing, thin film growth, important aerospace Al-Li alloys, and quenched and partitioned steels, and metastable austenitic stainless steels. Each chapter now begins with a list of key concepts, includes simpler illustrative exercises with relevance to real practical applications, and references to scientific publications updated to reflect experimental and computational advances in metallurgy

Encyclopedia of Applied and Computational Mathematics (Hardcover, 1st ed. 2015): Bjoern Engquist Encyclopedia of Applied and Computational Mathematics (Hardcover, 1st ed. 2015)
Bjoern Engquist
R25,827 Discovery Miles 258 270 Ships in 10 - 15 working days

EACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of applications. EACM emphasizes the strong links of applied mathematics with major areas of science, such as physics, chemistry, biology, and computer science, as well as specific fields like atmospheric ocean science. In addition, the mathematical input to modern engineering and technology form another core component of EACM.

Solving Physics Problems - Exploring New Thinking Paradigms (Hardcover): Yipeng Gu Solving Physics Problems - Exploring New Thinking Paradigms (Hardcover)
Yipeng Gu
R3,523 Discovery Miles 35 230 Ships in 9 - 15 working days

Aims at the research of a physics model based on an advanced thinking paradigm Presents deep-going solutions along with a richer connotation Contains fully analyzed models Deeply resolves and expands some classical physics models into novel questions Optimizes many existing solutions to the classical questions and even provides novel solutions to classic models and common questions Draws clearer, detailed, and exquisite schematic illustrations for all physical models

Approximate Models of Mechanics of Composites - An Asymptotic Approach (Hardcover): Igor Andrianov, Jan Awrejcewicz, Galina... Approximate Models of Mechanics of Composites - An Asymptotic Approach (Hardcover)
Igor Andrianov, Jan Awrejcewicz, Galina Starushenko
R3,184 Discovery Miles 31 840 Ships in 12 - 17 working days

1) Provides analytical solutions based on a three-phase model for composites of various structures 2) Identifies computational models to solve problems within all applications of composite materials 3) Constructs higher approximations of the Maxwell formula 4) Proposes efficient analytical algorithms ensuring reliable computational analysis

Stochastic Models for Structured Populations - Scaling Limits and Long Time Behavior (Paperback, 1st ed. 2015): Sylvie Meleard,... Stochastic Models for Structured Populations - Scaling Limits and Long Time Behavior (Paperback, 1st ed. 2015)
Sylvie Meleard, Vincent Bansaye
R1,396 Discovery Miles 13 960 Ships in 10 - 15 working days

In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France). Vincent Bansaye and Sylvie Meleard are Professors at Ecole Polytechnique (France). They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.

The Mathematical-Function Computation Handbook - Programming Using the MathCW Portable Software Library (Hardcover, 1st ed.... The Mathematical-Function Computation Handbook - Programming Using the MathCW Portable Software Library (Hardcover, 1st ed. 2017)
Nelson H.F. Beebe
R5,901 Discovery Miles 59 010 Ships in 10 - 15 working days

This highly comprehensive handbook provides a substantial advance in the computation of elementary and special functions of mathematics, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally useful, author-maintained MathCW website, containing source code for the book's software, compiled libraries for numerous systems, pre-built C compilers, and other related materials; offers a unique approach to covering mathematical-function computation using decimal arithmetic; provides extremely versatile appendices for interfaces to numerous other languages: Ada, C#, C++, Fortran, Java, and Pascal; presupposes only basic familiarity with computer programming in a common language, as well as early level algebra; supplies a library that readily adapts for existing scripting languages, with minimal effort; supports both binary and decimal arithmetic, in up to 10 different floating-point formats; covers a significant portion (with highly accurate implementations) of the U.S National Institute of Standards and Technology's 10-year project to codify mathematical functions. This highly practical text/reference is an invaluable tool for advanced undergraduates, recording many lessons of the intermingled history of computer hardw are and software, numerical algorithms, and mathematics. In addition, professional numerical analysts and others will find the handbook of real interest and utility because it builds on research by the mathematical software community over the last four decades.

Advances in Robot Kinematics 2016 (Hardcover, 1st ed. 2018): Jadran Lenarcic, Jean-Pierre Merlet Advances in Robot Kinematics 2016 (Hardcover, 1st ed. 2018)
Jadran Lenarcic, Jean-Pierre Merlet
R5,016 R4,011 Discovery Miles 40 110 Save R1,005 (20%) Ships in 12 - 17 working days

This book brings together 46 peer-reviewed papers that are of interest to researchers wanting to know more about the latest topics and methods in the fields of the kinematics, control and design of robotic systems. These papers cover the full range of robotic systems, including serial, parallel and cable-driven manipulators, both planar and spatial. The systems range from being less than fully mobile, to kinematically redundant, to over-constrained. In addition to these more familiar areas, the book also highlights recent advances in some emerging areas: such as the design and control of humanoids and humanoid subsystems; the analysis, modeling and simulation of human-body motions; mobility analyses of protein molecules; and the development of machines that incorporate man.

Advances in Dynamics, Patterns, Cognition - Challenges in Complexity (Hardcover, 1st ed. 2017): Igor S. Aranson, Arkady... Advances in Dynamics, Patterns, Cognition - Challenges in Complexity (Hardcover, 1st ed. 2017)
Igor S. Aranson, Arkady Pikovsky, Nikolai F. Rulkov, Lev S. Tsimring
R4,867 R3,821 Discovery Miles 38 210 Save R1,046 (21%) Ships in 12 - 17 working days

This book focuses on recent progress in complexity research based on the fundamental nonlinear dynamical and statistical theory of oscillations, waves, chaos, and structures far from equilibrium. Celebrating seminal contributions to the field by Prof. M. I. Rabinovich of the University of California at San Diego, this volume brings together perspectives on both the fundamental aspects of complexity studies, as well as in applications in different fields ranging from granular patterns to understanding of the cognitive brain and mind dynamics. The slate of world-class authors review recent achievements that together present a broad and coherent coverage of modern research in complexity greater than the sum of its parts.

Optimization for Data Analysis (Hardcover): Stephen J Wright, Benjamin Recht Optimization for Data Analysis (Hardcover)
Stephen J Wright, Benjamin Recht
R1,249 R1,177 Discovery Miles 11 770 Save R72 (6%) Ships in 12 - 17 working days

Optimization techniques are at the core of data science, including data analysis and machine learning. An understanding of basic optimization techniques and their fundamental properties provides important grounding for students, researchers, and practitioners in these areas. This text covers the fundamentals of optimization algorithms in a compact, self-contained way, focusing on the techniques most relevant to data science. An introductory chapter demonstrates that many standard problems in data science can be formulated as optimization problems. Next, many fundamental methods in optimization are described and analyzed, including: gradient and accelerated gradient methods for unconstrained optimization of smooth (especially convex) functions; the stochastic gradient method, a workhorse algorithm in machine learning; the coordinate descent approach; several key algorithms for constrained optimization problems; algorithms for minimizing nonsmooth functions arising in data science; foundations of the analysis of nonsmooth functions and optimization duality; and the back-propagation approach, relevant to neural networks.

Elon Lima - Selected Papers (Hardcover, 1st ed. 2020): Cesar Camacho Elon Lima - Selected Papers (Hardcover, 1st ed. 2020)
Cesar Camacho
R1,311 Discovery Miles 13 110 Ships in 12 - 17 working days

This book contains all research papers published by the distinguished Brazilian mathematician Elon Lima. It includes the papers from his PhD thesis on homotopy theory, which are hard to find elsewhere. Elon Lima wrote more than 40 books in the field of topology and dynamical systems. He was a profound mathematician with a genuine vocation to teach and write mathematics.

Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows (Hardcover, 1st ed. 2017): Yurii N. Grigoryev, Igor V.... Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows (Hardcover, 1st ed. 2017)
Yurii N. Grigoryev, Igor V. Ershov
R3,873 Discovery Miles 38 730 Ships in 10 - 15 working days

This book presents an in-depth systematic investigation of a dissipative effect which manifests itself as the growth of hydrodynamic stability and suppression of turbulence in relaxing molecular gas flows. The work describes the theoretical foundations of a new way to control stability and laminar turbulent transitions in aerodynamic flows. It develops hydrodynamic models for describing thermal nonequilibrium gas flows which allow the consideration of suppression of inviscid acoustic waves in 2D shear flows. Then, nonlinear evolution of large-scale vortices and Kelvin-Helmholtz waves in relaxing shear flows are studied. Critical Reynolds numbers in supersonic Couette flows are calculated analytically and numerically within the framework of both linear and nonlinear classical energy hydrodynamic stability theories. The calculations clearly show that the relaxation process can appreciably delay the laminar-turbulent transition. The aim of the book is to show the new dissipative effect, which can be used for flow control and laminarization. This volume will be of interest and useful to mechanical engineers, physicists, and mathematicians who specialize in hydrodynamic stability theory, turbulence, and laminarization of flows.

Multiplicative Differential Equations - Volume I (Hardcover): Svetlin G. Georgiev, Khaled Zennir Multiplicative Differential Equations - Volume I (Hardcover)
Svetlin G. Georgiev, Khaled Zennir
R2,745 Discovery Miles 27 450 Ships in 12 - 17 working days

Multiplicative Differential Equations: Volume I is the first part of a comprehensive approach to the subject. It continues a series of books written by the authors on multiplicative, geometric approaches to key mathematical topics. This volume begins with a basic introduction to multiplicative differential equations and then moves on to first and second order equations, as well as the question of existence and unique of solutions. Each chapter ends with a section of practical problems. The book is accessible to graduate students and researchers in mathematics, physics, engineering and biology.

Scaling - A Sourcebook for Behavioral Scientists (Paperback): Gary Maranell Scaling - A Sourcebook for Behavioral Scientists (Paperback)
Gary Maranell
R1,504 Discovery Miles 15 040 Ships in 12 - 17 working days

Despite the obvious importance of measurement in any scientific endeavor, few students of the social sciences receive adequate training in the principles and problems of assigning numerical values to the subjects, objects, events, groups and operations they study, and still less in the process of translating theoretical ideas and concepts into variables. This kind of casualness with respect to measurement is often in marked contrast to their methodically designed research, which has grown out of subtle and sophisticated theoretical consideration.

Scaling is intended to remedy this deficiency by providing a broad and detailed description of the major processes for developing measurement scales. The chapters, which include both classics in the field and the best of modern work, require no great mathematical sophistication, and go well beyond the conventional study of attitudes to the more general uses of scaling. They enable the student and researcher to examine the development of measures of scalability and the problems and weaknesses they present, to become familiar with the development of tests of significance for reproducibility and scalability and the need for them, and to examine the lively history of the subject and experience the excitement that can be secured from sharing with a creative author the first report of his insight.

Part One presents a series of general articles that deal in philosophic terms with the problem of measurement, with what is meant by measurement and scaling as well as the notions underlying the process of measuring. Part Two deals with the scaling methods developed by L. L. Thurstone, including paired comparison scaling, equal-appearing interval scaling, and successive interval scaling. The third part focuses upon scalogram analysis, presenting the background, rationale and procedures for Guttman scaling. The fourth part is concerned with summated rating, or Likert scaling. Part Five is a consideration of unfolding theory and methods. Part Six is made up of articles that focus on various special cases and problems relevant to scaling. The book also contains an unusually full reference bibliography and a set of convenient reference tables associated with the development and use of measurement scales.

The Ten Equations that Rule the World - And How You Can Use Them Too (Paperback): David Sumpter The Ten Equations that Rule the World - And How You Can Use Them Too (Paperback)
David Sumpter
R240 R192 Discovery Miles 1 920 Save R48 (20%) Ships in 5 - 10 working days

THE INTERNATIONAL BESTSELLER 'An entertaining tour that will change how you see the world' Sean Carroll, author of Something Deeply Hidden Is there a secret formula for improving your life? For making something a viral hit? For deciding how long to stick with your current job, Netflix series, or even relationship? This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthily and see through scaremongering. They are known only by mathematicians - until now. With wit and clarity, mathematician David Sumpter shows that it isn't the technical details which make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle - a way of seeing the world that anyone can learn. Empowering and illuminating, The Ten Equations that Rule the World shows how maths really can change your life.

Elementary Bayesian Biostatistics (Hardcover): Lemuel A. Moye Elementary Bayesian Biostatistics (Hardcover)
Lemuel A. Moye
R3,047 Discovery Miles 30 470 Ships in 12 - 17 working days

Bayesian analyses have made important inroads in modern clinical research due, in part, to the incorporation of the traditional tools of noninformative priors as well as the modern innovations of adaptive randomization and predictive power. Presenting an introductory perspective to modern Bayesian procedures, Elementary Bayesian Biostatistics explores Bayesian principles and illustrates their application to healthcare research. Building on the basics of classic biostatistics and algebra, this easy-to-read book provides a clear overview of the subject. It focuses on the history and mathematical foundation of Bayesian procedures, before discussing their implementation in healthcare research from first principles. The author also elaborates on the current controversies between Bayesian and frequentist biostatisticians. The book concludes with recommendations for Bayesians to improve their standing in the clinical trials community. Calculus derivations are relegated to the appendices so as not to overly complicate the main text. As Bayesian methods gain more acceptance in healthcare, it is necessary for clinical scientists to understand Bayesian principles. Applying Bayesian analyses to modern healthcare research issues, this lucid introduction helps readers make the correct choices in the development of clinical research programs.

High Performance Computing on Vector Systems 2009 (Hardcover, 2010 ed.): Sabine Roller, Katharina Benkert, Martin Galle,... High Performance Computing on Vector Systems 2009 (Hardcover, 2010 ed.)
Sabine Roller, Katharina Benkert, Martin Galle, Wolfgang Bez, Hiroaki Kobayashi
R3,655 Discovery Miles 36 550 Ships in 10 - 15 working days

This book covers the results of the Tera op Workbench, other projects related to High Performance Computing, and the usage of HPC installations at HLRS. The Tera op Workbench project is a collaboration between the High Performance C- puting Center Stuttgart (HLRS) and NEC Deutschland GmbH (NEC-HPCE) to s- port users in achieving their research goals using High Performance Computing. The rst stage of the Tera op Workbench project (2004–2008) concentrated on user’s applications and their optimization for the former ag ship of HLRS, a - node NEC SX-8 installation. During this stage, numerous individual codes, dev- oped and maintained by researchers or commercial organizations, have been a- lyzed and optimized. Within the project, several of the codes have shown the ability to outreach the TFlop/s threshold of sustained performance. This created the pos- bility for new science and a deeper understanding of the underlying physics. The second stage of the Tera op Workbench project (2008–2012) focuses on c- rent and future trends of hardware and software developments. We observe a strong tendency to heterogeneous environments on the hardware level, while at the same time, applications become increasingly heterogeneous by including multi-physics or multi-scale effects. The goal of the current studies of the Tera op Workbench is to gain insight in the developments of both components. The overall target is to help scientists to run their application in the most ef cient and most convenient way on the hardware best suited for their purposes.

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