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Books > Science & Mathematics > Mathematics > Applied mathematics

MATHEMATICAL PRINCIPLES OF ECONOMICS - by W. Launhardt (Hardcover, illustrated edition): John Creedy MATHEMATICAL PRINCIPLES OF ECONOMICS - by W. Launhardt (Hardcover, illustrated edition)
John Creedy
R3,199 Discovery Miles 31 990 Ships in 12 - 17 working days

This is the first English translation of Launhardt's Mathematische Begrundung der Volkswirtschaftslehre (1885), a major contribution to neoclassical economic theory which contains many important and original analyses. This edition will provide the basis for a re-evaluation of Launhardt's outstanding, but undervalued, contribution to economics. Taking the neoclassical emphasis on exchange as the central economic problem, Laundardt begins with a thorough treatment of the pure exchange model, then goes on to extend the treatment to the production of goods and the supply of labour, with a sophisticated general equilibrium perspective. It contains important analyses of savings and the role of capital goods, as well as an outstanding study of transport and the location of industry. Launhardt's book can, with justice, with be described as the first comprehensive treatise on welfare economics. Mathematical Principles of Economics will prove stimulating reading for economic theorists as well as those interested in the history of economics thought.

Guide to Computational Modelling for Decision Processes - Theory, Algorithms, Techniques and Applications (Hardcover, 1st ed.... Guide to Computational Modelling for Decision Processes - Theory, Algorithms, Techniques and Applications (Hardcover, 1st ed. 2017)
Stuart Berry, Val Lowndes, Marcello Trovati
R2,639 R2,369 Discovery Miles 23 690 Save R270 (10%) Ships in 12 - 17 working days

This interdisciplinary reference and guide provides an introduction to modeling methodologies and models which form the starting point for deriving efficient and effective solution techniques, and presents a series of case studies that demonstrate how heuristic and analytical approaches may be used to solve large and complex problems. Topics and features: introduces the key modeling methods and tools, including heuristic and mathematical programming-based models, and queueing theory and simulation techniques; demonstrates the use of heuristic methods to not only solve complex decision-making problems, but also to derive a simpler solution technique; presents case studies on a broad range of applications that make use of techniques from genetic algorithms and fuzzy logic, tabu search, and queueing theory; reviews examples incorporating system dynamics modeling, cellular automata and agent-based simulations, and the use of big data; supplies expanded descriptions and examples in the appendices.

Pricing in General Insurance (Hardcover, 2nd edition): Pietro Parodi Pricing in General Insurance (Hardcover, 2nd edition)
Pietro Parodi
R2,359 Discovery Miles 23 590 Ships in 9 - 15 working days

Provides a comprehensive and accessible introduction to general insurance pricing, based on the author’s many years of experience as both a teacher and practitioner. Suitable for students taking a course in general insurance pricing, notably if they are studying to become an actuary through the UK Institute of Actuaries exams. No other title quite like this on the market that is perfect for teaching/study, and is also an excellent guide for practitioners.

Homotopy-Based Methods in Water Engineering (Hardcover): Manotosh Kumbhakar, Vijay P. Singh Homotopy-Based Methods in Water Engineering (Hardcover)
Manotosh Kumbhakar, Vijay P. Singh
R2,727 Discovery Miles 27 270 Ships in 9 - 15 working days

Most complex physical phenomena can be described by nonlinear equations, specifically, differential equations. In water engineering, nonlinear differential equations play a vital role in modeling physical processes. Analytical solutions to strong nonlinear problems are not easily tractable, and existing techniques are problem-specific and applicable for specific types of equations. Exploring the concept of homotopy from topology, different kinds of homotopy-based methods have been proposed for analytically solving nonlinear differential equations, given by approximate series solutions. Homotopy-Based Methods in Water Engineering attempts to present the wide applicability of these methods to water engineering problems. It solves all kinds of nonlinear equations, namely algebraic/transcendental equations, ordinary differential equations (ODEs), systems of ODEs, partial differential equations (PDEs), systems of PDEs, and integro-differential equations using the homotopy-based methods. The content of the book deals with some selected problems of hydraulics of open-channel flow (with or without sediment transport), groundwater hydrology, surface-water hydrology, general Burger’s equation, and water quality. Features: Provides analytical treatments to some key problems in water engineering Describes the applicability of homotopy-based methods for solving nonlinear equations, particularly differential equations Compares different approaches in dealing with issues of nonlinearity

An Introduction to Kolmogorov Complexity and Its Applications (Hardcover, 3rd ed. 2008): Ming Li, Paul M. B. Vitanyi An Introduction to Kolmogorov Complexity and Its Applications (Hardcover, 3rd ed. 2008)
Ming Li, Paul M. B. Vitanyi
R3,118 Discovery Miles 31 180 Ships in 10 - 15 working days

a oeThe book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field.a Journal of Symbolic Logic

Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and their applications of Kolmogorov complexity. The book presents a thorough treatment of the subject with a wide range of illustrative applications. Such applications include the randomness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computational learning theory, the complexity of algorithms, and the thermodynamics of computing. It will be ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. The book is self-contained in that it contains the basic requirements from mathematics and computer science. Included are also numerous problem sets, comments, source references, and hints to solutions of problems. New topics in this edition include Omega numbers, Kolmogorova "Loveland randomness, universal learning, communication complexity, Kolmogorov's random graphs, time-limited universal distribution, Shannon information and others.

Nonlinear Systems and Their Remarkable Mathematical Structures, Volumes 1, 2, and 3 (Hardcover): Norbert Euler, Maria Clara... Nonlinear Systems and Their Remarkable Mathematical Structures, Volumes 1, 2, and 3 (Hardcover)
Norbert Euler, Maria Clara Nucci, Dajun Zhang
R14,090 Discovery Miles 140 900 Ships in 12 - 17 working days

This set of three volumes aims to describe the recent progress in nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). Written by experts, each chapter is self-contained and aims to clearly illustrate some of the mathematical theories of nonlinear systems. These volumes should be suitable for graduate and postgraduate students in mathematics, the natural sciences, and engineering sciences, as well as for researchers (both pure and applied) interested in nonlinear systems. The common theme throughout all the volumes is on solvable and integrable nonlinear systems of equations and methods/theories that can be applied to analyze those systems. Some applications are also discussed. Features Clearly illustrates the mathematical theories of nonlinear systems and their progress to both the non-expert and active researchers in this area. Suitable for graduate students in mathematics, applied mathematics and some of the engineering sciences. Written in a careful pedagogical manner by those experts who have been involved in the research themselves, with each contribution being reasonably self-contained.

Mathematics and Archaeology (Paperback): Juan A. Barcelo, Igor Bogdanovic Mathematics and Archaeology (Paperback)
Juan A. Barcelo, Igor Bogdanovic
R1,448 Discovery Miles 14 480 Ships in 12 - 17 working days

Although many archaeologists have a good understanding of the basics in computer science, statistics, geostatistics, modeling, and data mining, more literature is needed about the advanced analysis in these areas. This book aids archaeologists in learning more advanced tools and methods while also helping mathematicians, statisticians, and computer scientists with no previous knowledge of the field realize the potential of the methods in archaeological experiments.

Bird's Higher Engineering Mathematics (Paperback, 9th edition): John Bird Bird's Higher Engineering Mathematics (Paperback, 9th edition)
John Bird
R910 R841 Discovery Miles 8 410 Save R69 (8%) Ships in 5 - 10 working days

Higher Engineering Mathematics has helped thousands of students to succeed in their exams by developing problem-solving skills, It is supported by over 600 practical engineering examples and applications which relate theory to practice. The extensive and thorough topic coverage makes this a solid text for undergraduate and upper-level vocational courses. Its companion website provides resources for both students and lecturers, including lists of essential formulae, ands full solutions to all 2,000 further questions contained in the 277 practice exercises; and illustrations and answers to revision tests for adopting course instructors.

Foundations of Modern Physics (Hardcover): Steven Weinberg Foundations of Modern Physics (Hardcover)
Steven Weinberg
R1,175 Discovery Miles 11 750 Ships in 12 - 17 working days

In addition to his ground-breaking research, Nobel Laureate Steven Weinberg is known for a series of highly praised texts on various aspects of physics, combining exceptional physical insight with his gift for clear exposition. Describing the foundations of modern physics in their historical context and with some new derivations, Weinberg introduces topics ranging from early applications of atomic theory through thermodynamics, statistical mechanics, transport theory, special relativity, quantum mechanics, nuclear physics, and quantum field theory. This volume provides the basis for advanced undergraduate and graduate physics courses as well as being a handy introduction to aspects of modern physics for working scientists.

AI-based Metaheuristics for Information Security in Digital Media (Hardcover): Apoorva S Shastri, Mangal Singh, Anand J.... AI-based Metaheuristics for Information Security in Digital Media (Hardcover)
Apoorva S Shastri, Mangal Singh, Anand J. Kulkarni, Patrick Siarry
R2,325 Discovery Miles 23 250 Ships in 9 - 15 working days

AI Metaheuristics for Information Security in Digital Media examines the latest developments in AI-based metaheuristics algorithms with applications in information security for digital media. It highlights the importance of several security parameters, their analysis, and validations for different practical applications. Drawing on multidisciplinary research including computer vision, machine learning, artificial intelligence, modified/newly developed metaheuristics algorithms, it will enhance information security for society. It includes state-of-the-art research with illustrations and exercises throughout.

Deep Learning-based Forward Modeling and Inversion Techniques for Computational Physics Problems (Hardcover): Yinpeng Wang,... Deep Learning-based Forward Modeling and Inversion Techniques for Computational Physics Problems (Hardcover)
Yinpeng Wang, Qiang Ren
R2,333 Discovery Miles 23 330 Ships in 9 - 15 working days

This book investigates in detail the emerging deep learning (DL) technique in computational physics, assessing its promising potential to substitute conventional numerical solvers for calculating the fields in real-time. After good training, the proposed architecture can resolve both the forward computing and the inverse retrieve problems. Pursuing a holistic perspective, the book includes the following areas. The first chapter discusses the basic DL frameworks. Then, the steady heat conduction problem is solved by the classical U-net in Chapter 2, involving both the passive and active cases. Afterwards, the sophisticated heat flux on a curved surface is reconstructed by the presented Conv-LSTM, exhibiting high accuracy and efficiency. Besides, the electromagnetic parameters of complex medium such as the permittivity and conductivity are retrieved by a cascaded framework in Chapter 4. Additionally, a physics-informed DL structure along with a nonlinear mapping module are employed to obtain the space/temperature/time-related thermal conductivity via the transient temperature in Chapter 5. Finally, in Chapter 6, a series of the latest advanced frameworks and the corresponding physics applications are introduced. As deep learning techniques are experiencing vigorous development in computational physics, more people desire related reading materials. This book is intended for graduate students, professional practitioners, and researchers who are interested in DL for computational physics.

Your Essential Guide to Quantitative Hedge Fund Investing (Paperback): Marat Molyboga, Larry E. Swedroe Your Essential Guide to Quantitative Hedge Fund Investing (Paperback)
Marat Molyboga, Larry E. Swedroe
R1,427 Discovery Miles 14 270 Ships in 9 - 15 working days

Your Essential Guide to Quantitative Hedge Fund Investing provides a conceptual framework for understanding effective hedge fund investment strategies. The book offers a mathematically rigorous exploration of different topics, framed in an easy to digest set of examples and analogies, including stories from some legendary hedge fund investors. Readers will be guided from the historical to the cutting edge, while building a framework of understanding that encompasses it all. Features Filled with novel examples and analogies from within and beyond the world of finance Suitable for practitioners and graduate-level students with a passion for understanding the complexities that lie behind the raw mechanics of quantitative hedge fund investment A unique insight from an author with experience of both the practical and academic spheres.

Form Symmetries and Reduction of Order in Difference Equations (Paperback): Hassan Sedaghat Form Symmetries and Reduction of Order in Difference Equations (Paperback)
Hassan Sedaghat
R1,779 Discovery Miles 17 790 Ships in 12 - 17 working days

Form Symmetries and Reduction of Order in Difference Equations presents a new approach to the formulation and analysis of difference equations in which the underlying space is typically an algebraic group. In some problems and applications, an additional algebraic or topological structure is assumed in order to define equations and obtain significant results about them. Reflecting the author's past research experience, the majority of examples involve equations in finite dimensional Euclidean spaces. The book first introduces difference equations on groups, building a foundation for later chapters and illustrating the wide variety of possible formulations and interpretations of difference equations that occur in concrete contexts. The author then proposes a systematic method of decomposition for recursive difference equations that uses a semiconjugate relation between maps. Focusing on large classes of difference equations, he shows how to find the semiconjugate relations and accompanying factorizations of two difference equations with strictly lower orders. The final chapter goes beyond semiconjugacy by extending the fundamental ideas based on form symmetries to nonrecursive difference equations. With numerous examples and exercises, this book is an ideal introduction to an exciting new domain in the area of difference equations. It takes a fresh and all-inclusive look at difference equations and develops a systematic procedure for examining how these equations are constructed and solved.

Encyclopedia of Fluid Mechanics (Paperback): Ethirajan Rathakrishnan Encyclopedia of Fluid Mechanics (Paperback)
Ethirajan Rathakrishnan
R2,786 Discovery Miles 27 860 Ships in 9 - 15 working days

This book was developed using material from teaching courses on fluid mechanics, high-speed flows, aerodynamics, high-enthalpy flows, experimental methods, aircraft design, heat transfer, introduction to engineering, and wind engineering. It precisely presents the theoretical and application aspects of the terms associated with these courses. It explains concepts such as cyclone, typhoon, hurricane, and tornado, by highlighting the subtle difference between them. The text comprehensively introduces the subject vocabulary of fluid mechanics for use in courses in engineering and the physical sciences. This book * Presents the theoretical aspects and applications of high-speed flows, aerodynamics, high-enthalpy flows, and aircraft design. * Provides a ready reference source for readers to learn essential concepts related to flow physics, rarefied, and stratified flows. * Comprehensively covers topics such as laser Doppler anemometer, latent heat of fusion, and latent heat of vaporisation. * Includes schematic sketches and photographic images to equip the reader with a better view of the concepts. This is ideal study material for senior undergraduate and graduate students in the fields of mechanical engineering, aerospace engineering, flow physics, civil engineering, automotive engineering, and manufacturing engineering.

Linear Algebra for Everyone (Hardcover): Gilbert Strang Linear Algebra for Everyone (Hardcover)
Gilbert Strang
R1,633 Discovery Miles 16 330 Ships in 12 - 17 working days
A First Course in General Relativity (Hardcover, 3rd Revised edition): Bernard Schutz A First Course in General Relativity (Hardcover, 3rd Revised edition)
Bernard Schutz
R1,594 Discovery Miles 15 940 Ships in 9 - 15 working days

Clarity, readability, and rigor combine in the third edition of this widely used textbook to provide the first step into general relativity for advanced undergraduates with a minimal background in mathematics. Topics within relativity that fascinate astrophysics researchers and students alike are covered with Schutz's characteristic ease and authority, from black holes to relativistic objects, from pulsars to the study of the Universe as a whole. This third edition contains discoveries by astronomers that require general relativity for their explanation; two chapters on gravitational waves, including direct detections of gravitational waves and their observations' impact on cosmological measurements; new information on black holes and neutron stars; and greater insight into the expansion of the Universe. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, while the informal writing style and worked examples make the subject matter easily accessible.

Advanced Geodynamics - The Fourier Transform Method (Hardcover): David T. Sandwell Advanced Geodynamics - The Fourier Transform Method (Hardcover)
David T. Sandwell
R1,633 R1,518 Discovery Miles 15 180 Save R115 (7%) Ships in 12 - 17 working days

David Sandwell developed this advanced textbook over a period of nearly 30 years for his graduate course at Scripps Institution of Oceanography. The book augments the classic textbook Geodynamics by Don Turcotte and Jerry Schubert, presenting more complex and foundational mathematical methods and approaches to geodynamics. The main new tool developed in the book is the multi-dimensional Fourier transform for solving linear partial differential equations. The book comprises nineteen chapters, including: the latest global data sets; quantitative plate tectonics; plate driving forces associated with lithospheric heat transfer and subduction; the physics of the earthquake cycle; postglacial rebound; and six chapters on gravity field development and interpretation. Each chapter has a set of student exercises that make use of the higher-level mathematical and numerical methods developed in the book. Solutions to the exercises are available online for course instructors, on request.

Introduction to Traveling Waves (Hardcover): Anna R. Ghazaryan, Stephane Lafortune, Vahagn Manukian Introduction to Traveling Waves (Hardcover)
Anna R. Ghazaryan, Stephane Lafortune, Vahagn Manukian
R2,742 Discovery Miles 27 420 Ships in 9 - 15 working days

Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students. Traveling waves are not typically covered in the undergraduate curriculum, and topics related to traveling waves are usually only covered in research papers, except for a few texts designed for students. This book includes techniques that are not covered in those texts. Through their experience involving undergraduate and graduate students in a research topic related to traveling waves, the authors found that the main difficulty is to provide reading materials that contain the background information sufficient to start a research project without an expectation of an extensive list of prerequisites beyond regular undergraduate coursework. This book meets that need and serves as an entry point into research topics about the existence and stability of traveling waves. Features Self-contained, step-by-step introduction to nonlinear waves written assuming minimal prerequisites, such as an undergraduate course on linear algebra and differential equations. Suitable as a textbook for a special topics course, or as supplementary reading for courses on modeling. Contains numerous examples to support the theoretical material. Supplementary MATLAB codes available via GitHub.

Handbook of Price Impact Modeling (Hardcover): Kevin T Webster Handbook of Price Impact Modeling (Hardcover)
Kevin T Webster
R2,322 Discovery Miles 23 220 Ships in 9 - 15 working days

Builds a market simulator to back test trading algorithms Implements closed-form strategies that optimize trading signals Measures liquidity risk and stress test portfolios for fire sales Analyze algorithms’ performance controlling for common trading biases Estimates price impact models using the public trading tape

Analysis of Fork-Join Systems - Network of Queues with Precedence Constraints (Hardcover): Samyukta Sethuraman Analysis of Fork-Join Systems - Network of Queues with Precedence Constraints (Hardcover)
Samyukta Sethuraman
R1,496 Discovery Miles 14 960 Ships in 9 - 15 working days

With the boom of big data and machine learning and the subsequent need for parallel processing technologies, fork-join queues are more relevant now than ever before. In this book, new estimates of the average response time in fork-join queues are proposed, which form the basis for new research opportunities. Analysis of Fork-Join Systems: Network of Queues with Precedence Constraints explores numerical approaches to estimate the average response time of fork-join queueing networks and offers never before published simple expressions for the mean response time as conjectures. Extensive experiments are included to demonstrate the remarkable accuracy of the conjectures and algorithms used in the estimation of the average response time. Graduate students, professors, and researchers in the fields of operations research, management science, industrial engineering, computer science, and electrical engineering will find this book very useful. Students, as well as researchers in both academia and industry, will also find this book of great help when looking for results related to fork-join queues

An Invitation to Combinatorics (Hardcover): Shahriar Shahriari An Invitation to Combinatorics (Hardcover)
Shahriar Shahriari
R1,241 Discovery Miles 12 410 Ships in 9 - 15 working days

Active student engagement is key to this classroom-tested combinatorics text, boasting 1200+ carefully designed problems, ten mini-projects, section warm-up problems, and chapter opening problems. The author - an award-winning teacher - writes in a conversational style, keeping the reader in mind on every page. Students will stay motivated through glimpses into current research trends and open problems as well as the history and global origins of the subject. All essential topics are covered, including Ramsey theory, enumerative combinatorics including Stirling numbers, partitions of integers, the inclusion-exclusion principle, generating functions, introductory graph theory, and partially ordered sets. Some significant results are presented as sets of guided problems, leading readers to discover them on their own. More than 140 problems have complete solutions and over 250 have hints in the back, making this book ideal for self-study. Ideal for a one semester upper undergraduate course, prerequisites include the calculus sequence and familiarity with proofs.

Asymptotic Multiple Scale Method in Time Domain - Multi-Degree-of-Freedom Stationary and Nonstationary Dynamics (Hardcover):... Asymptotic Multiple Scale Method in Time Domain - Multi-Degree-of-Freedom Stationary and Nonstationary Dynamics (Hardcover)
Jan Awrejcewicz, Roman Starosta, Grazyna Sypniewska-Kaminska
R2,719 Discovery Miles 27 190 Ships in 9 - 15 working days

This book offers up novel research which uses analytical approaches to explore nonlinear features exhibited by various dynamic processes. Relevant to disciplines across engineering and physics, the asymptotic method combined with the multiple scale method is shown to be an efficient and intuitive way to approach mechanics. Beginning with new material on the development of cutting-edge asymptotic methods and multiple scale methods, the book introduces this method in time domain and provides examples of vibrations of systems. Clearly written throughout, it uses innovative graphics to exemplify complex concepts such as nonlinear stationary and nonstationary processes, various resonances and jump pull-in phenomena. It also demonstrates the simplification of problems through using mathematical modelling, by employing the use of limiting phase trajectories to quantify nonlinear phenomena. Particularly relevant to structural mechanics, in rods, cables, beams, plates and shells, as well as mechanical objects commonly found in everyday devices such as mobile phones and cameras, the book shows how each system is modelled, and how it behaves under various conditions. It will be of interest to engineers and professionals in mechanical engineering and structural engineering, alongside those interested in vibrations and dynamics. It will also be useful to those studying engineering maths and physics.

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition (Paperback, 11th edition):... Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition (Paperback, 11th edition)
Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price
R1,785 Discovery Miles 17 850 In Stock

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author's applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!

Algorithm Design: A Methodological Approach - 150 problems and detailed solutions (Paperback): Patrick Bosc, Marc Guyomard,... Algorithm Design: A Methodological Approach - 150 problems and detailed solutions (Paperback)
Patrick Bosc, Marc Guyomard, Laurent Miclet
R1,587 Discovery Miles 15 870 Ships in 9 - 15 working days

A best-seller in its French edition, the construction of this book is original and its success in the French market demonstrates its appeal. It is based on three principles: 1. An organization of the chapters by families of algorithms : exhaustive search, divide and conquer, etc. At the contrary, there is no chapter only devoted to a systematic exposure of, say, algorithms on strings. Some of these will be found in different chapters. 2. For each family of algorithms, an introduction is given to the mathematical principles and the issues of a rigorous design, with one or two pedagogical examples. 3. For its most part, the book details 150 problems, spanning on seven families of algorithms. For each problem, a precise and progressive statement is given. More important, a complete solution is detailed, with respect to the design principles that have been presented ; often, some classical errors are pointed at. Roughly speaking, two thirds of the book are devoted to the detailed rational construction of the solutions.

Thermal Radiation - An Introduction (Hardcover): John R. Howell, M. Pinar Menguc, Kyle J. Daun Thermal Radiation - An Introduction (Hardcover)
John R. Howell, M. Pinar Menguc, Kyle J. Daun
R2,612 Discovery Miles 26 120 Ships in 9 - 15 working days

Thermal Radiation: An Introduction is a complete textbook for a one-semester introductory graduate course on radiative energy transfer. It bridges the gap between a basic introduction and comprehensive coverage of thermal radiation, focusing on insight into radiative transfer as practiced by engineers. Covering radiative transfer among surfaces, with an introduction to the effects of participating media between surfaces, the book includes surface and medium property characteristics and solutions to the radiative transfer equation in simple geometries. * Tailored and organized specifically to suit a one-semester graduate course in radiative heat transfer. * Emphasis is placed on insight into radiative transfer as practiced by engineers. * Discusses how radiation is incorporated into finite element analysis (FEA) codes. The textbook is intended for instructors and graduate students in a first-year course on radiative heat transfer or advanced heat transfer. Supplementary resources for students and instructors are available online.

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