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Lavoisier Bokseller: New books in mathematics
2019-08-01T12:00:00+01:00
Lavoisier Bokseller
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Books in mathematics just arrived on Lavoisier Bookseller
© 2019 Lavoisier Bokseller
http://www.lavoisier.eu/books/mathematics/how-to-prove-it/description_4164011
How to Prove It
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317389040.jpg" alt="Book's cover:How to Prove It " /><br />Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of proofs. The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for an analysis of techniques that can be used to build up complex proofs step by step, using detailed "scratch work" sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians.
http://www.lavoisier.eu/books/mathematics/digital-transformation-of-enterprise-architecture/description_4168150
Digital Transformation of Enterprise Architecture
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317391838.jpg" alt="Book's cover:Digital Transformation of Enterprise Architecture" /><br /><p>Digital Transformation of Enterprise Architecture is the first book to propose Enterprise Architecture (EA) as the most important element (after Business Models) for <i>digital transformation of enterprises</i>. This book makes <i>digital transformation</i> more tangible by showing the rationale and typical technologies associated with it, and, these technologies in turn reveal the essence of <i>digital transformation</i>.</p><p>This book proposes that it is the perennial quest for interoperability & portability, scalability, availability etc. that has directed and driven the evolution of the IT/IS industry in the past 50 years. It is this very quest that has led to the emergence of technologies like service-oriented, cloud and big data computing. In addition to the conventional attributes of EA like interoperability, scalability and availability, this book identifies additional attributes of mobility, ubiquity, security, analyticity, and usability. </p><p>This pragmatic book:</p><ul><p><li>Identifies three parts effort for any digital transformation: Business Models, Enterprise Architectures and Enterprise Business Processes.</li><p></p><p><li>Describes eight attributes of EA: interoperability, scalability, availability, mobility, ubiquity, security, analyticity, and usability.</li><p></p><p><li>Explains the corresponding technologies of service-oriented, cloud, big data, context-aware, Internet of Things (IoT), blockchain, soft and interactive computing.</li><p></p><p><li>Briefs on auxiliary technologies like integration, virtualization, replication, spatio-temporal databases, embedded systems, cryptography, data mining and interactive interfaces that are essential for digital transformation of enterprises.</li><p></p><p><li>Introduces interactive interfaces like voice, gaze, gesture and 3D interfaces.</li><p></p><p><li>Provides an overview of blockchain computing, soft computing and customer interaction systems. </li><p></p></ul><b><p>?</p><p>Digital Transformation of Enterprise Architecture </b>proposes that to withstand the disruptive digital storms of the future, enterprises must bring about <i>digital transformation</i> i.e. a transformation that affects exponential change (amplification or attenuation) in any aspect of the constituent attributes of EA. It proposes that each of these technologies: service-oriented, cloud, big data, context-aware, IoT, blockchain, soft and interactive computing, bring about digital transformation of the corresponding EA attribute viz. interoperability, scalability, availability, mobility, ubiquity, security, analyticity, and usability. </p>
http://www.lavoisier.eu/books/mathematics/an-invitation-to-applied-category-theory/description_4160683
An Invitation to Applied Category Theory
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317386668.jpg" alt="Book's cover:An Invitation to Applied Category Theory" /><br />Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.
http://www.lavoisier.eu/books/mathematics/an-invitation-to-applied-category-theory/description_4160671
An Invitation to Applied Category Theory
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317386662.jpg" alt="Book's cover:An Invitation to Applied Category Theory" /><br />Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.
http://www.lavoisier.eu/books/mathematics/contemporary-biostatistics-with-biopharmaceutical-applications/description_4130740
Contemporary Biostatistics with Biopharmaceutical Applications
2019-08-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317365212.jpg" alt="Book's cover:Contemporary Biostatistics with Biopharmaceutical Applications" /><br />This edited volume presents current research in biostatistics with emphasis on biopharmaceutical applications. Featuring contributions presented at the 2017 ICSA Applied Statistics Symposium held in Chicago, IL on June 25 to 28, 2017, this book explores timely topics that have a high potential impact on statistical methodology and future research in biostatistics and biopharmaceuticals. The theme of this conference was Statistics for a New Generation: Challenges and Opportunities, in recognition of the advent of a new generation of statisticians. The conference attracted statisticians working in academia, government, and industry; domestic and international statisticians. From the conference, the editors selected 28 high-quality presentations and invited the speakers to prepare full chapters for this book. These contributions are divided into four parts: Part I Biostatistical Methodology, Part II Statistical Genetics and Bioinformatics, Part III Regulatory Statistics, and Part IV Biopharmaceutical Research and Applications.<p>Featuring contributions on topics such as statistics in genetics, bioinformatics, biostatistical methodology, and statistical computing, this book is beneficial to researchers, academics, practitioners and policy makers in biostatistics and biopharmaceuticals. </p>
http://www.lavoisier.eu/books/mathematics/statistics-of-financial-markets/description_4137260
Statistics of Financial Markets
2019-08-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317372248.jpg" alt="Book's cover:Statistics of Financial Markets" /><br /><p>Now in its fifth edition, this book offers a detailed yet concise introduction to the growing field of statistical applications in finance. The reader will learn the basic methods for evaluating option contracts, analyzing financial time series, selecting portfolios and managing risks based on realistic assumptions about market behavior. The focus is both on the fundamentals of mathematical finance and financial time series analysis, and on applications to specific problems concerning financial markets, thus making the book the ideal basis for lectures, seminars and crash courses on the topic. All numerical calculations are transparent and reproducible using quantlets.</p><p>For this new edition the book has been updated and extensively revised and now includes several new aspects such as neural networks, deep learning, and crypto-currencies. Both R and Matlab code, together with the data, can be downloaded from the book?s product page and the Quantlet platform.</p><p>The Quantlet platform quantlet.de, quantlet.com, quantlet.org is an integrated QuantNet environment consisting of different types of statistics-related documents and program codes. Its goal is to promote reproducibility and offer a platform for sharing validated knowledge native to the social web. QuantNet and the corresponding Data-Driven Documents-based visualization allow readers to reproduce the tables, pictures and calculations inside this Springer book.</p><p><i>?</i><i>This book provides an excellent introduction to the tools from probability and statistics necessary to analyze financial data. Clearly written and accessible, it will be very useful to students and practitioners alike.?</i></p><p>Yacine Ait-Sahalia, Otto Hack 1903 Professor of Finance and Economics, Princeton University</p><p></p>
http://www.lavoisier.eu/books/mathematics/analysis-and-approximation-of-rare-events/budhiraja-amarjit/description_4172996
Analysis and Approximation of Rare Events
2019-08-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317396421.jpg" alt="Book's cover:Analysis and Approximation of Rare Events" /><br /><p></p><p>This book presents broadly applicable methods for the large deviation and moderate deviation analysis of discrete and continuous time stochastic systems. A feature of the book is the systematic use of variational representations for quantities of interest such as normalized logarithms of probabilities and expected values. By characterizing a large deviation principle in terms of Laplace asymptotics, one converts the proof of large deviation limits into the convergence of variational representations. These features are illustrated though their application to a broad range of discrete and continuous time models, including stochastic partial differential equations, processes with discontinuous statistics, occupancy models, and many others. The tools used in the large deviation analysis also turn out to be useful in understanding Monte Carlo schemes for the numerical approximation of the same probabilities and expected values. This connection is illustrated through the design and analysis of importance sampling and splitting schemes for rare event estimation. The book assumes a solid background in weak convergence of probability measures and stochastic analysis, and is suitable for advanced graduate students, postdocs and researchers.</p><br><p></p>
http://www.lavoisier.eu/books/mathematics/measuring-society/description_3947825
Measuring Society
2019-08-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317261802.jpg" alt="Book's cover:Measuring Society" /><br /><p>Collecting and analyzing data on unemployment, inflation, poverty and inequality help us describe the complex world in which we live. When published by the government, they are called official statistics. They are reported by the media, used by politicians to lend weight to their arguments and by economic commentators to opine about the state of society. Despite such widescale use, explanations about how these measures are constructed are seldom provided for a non-technical reader.</p><p></p><p>This book is a short, accessible guide to six topics: jobs, house prices, inequality, prices for goods and services, poverty, and deprivation. Each relates to concepts we use on a personal level to form an understanding of the society in which we live: We need a job, a place to live, and food to eat. </p><p></p><p>Using data from the United States, we answer three basic questions?why, how and for whom these statistics have been constructed. We add some context and flavor by discussing the historical background. The intention is to provide the reader with a good grasp of these measures. </p><b><p></p><p>Chaitra H. Nagaraja</b> is Associate Professor of Statistics at the Gabelli School of Business at Fordham University in New York. Her research interests include house price indices and inequality measurement. Prior to Fordham, Chaitra was a researcher at the U.S. Census Bureau. While there, she worked on projects relating to the American Community Survey. </p>
http://www.lavoisier.eu/books/mathematics/analytic-methods-for-coagulation-fragmentation-models-volume-i/description_4030234
Analytic Methods for Coagulation-Fragmentation Models, Volume I
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317312530.jpg" alt="Book's cover:Analytic Methods for Coagulation-Fragmentation Models, Volume I" /><br /><p>The book begins with an in-depth survey of coagulation-fragmentation models, followed by a detailed presentation of relevant earlier results in the field. The mathematical tools necessary for the modern development of the theory as well as essential facts from infinite-dimensional dynamical systems, are introduced. The next few chapters are devoted to methods suitable to cases where the process is dominated by fragmentation. The following chapter focuses on weak compactness methods for solving coagulation-fragmentation equations. The final chapter deals with the long-term asymptotic behaviour of solutions to coagulation and fragmentation equations.</p>
http://www.lavoisier.eu/books/mathematics/surveys-in-combinatorics-2019/description_4164001
Surveys in Combinatorics 2019
2019-06-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317389035.jpg" alt="Book's cover:Surveys in Combinatorics 2019" /><br />This volume contains eight survey articles based on the invited lectures given at the 27th British Combinatorial Conference, held at the University of Birmingham in July 2019. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, cryptography, matroids, incidence geometries and graph limits. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results and give a unique preview of cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.
http://www.lavoisier.eu/books/mathematics/knots-low-dimensional-topology-and-applications/description_4155138
Knots, Low-Dimensional Topology and Applications
2019-06-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317382653.jpg" alt="Book's cover:Knots, Low-Dimensional Topology and Applications" /><br /><div><p>This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles written by top experts in low-dimensional topology and its applications. </p><p>The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology; hyperbolic knots and geometric structures of three-dimensional manifolds; the mechanism of topological surgery in physical processes, knots in Nature in the sense of physical knots with applications to polymers, DNA enzyme mechanisms, and protein structure and function. <br></p><p>The contents is based on contributions presented at the International Conference on Knots, Low-Dimensional Topology and Applications ? Knots in Hellas 2016, which was held at the International Olympic Academy in Greece in July 2016. The goal of the international conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and low-dimensional topology. <br></p><p>This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study.<br></p></div><div><br></div>
http://www.lavoisier.eu/books/mathematics/numerical-methods-in-computational-mechanics/description_4162211
Numerical Methods in Computational Mechanics
2019-06-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317387809.jpg" alt="Book's cover:Numerical Methods in Computational Mechanics" /><br /><p>This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of systems of equations, symmetric eigenvalue solution methods, and direct integration of discrete dynamic equations of motion, illustrated with numerical examples. This book suits a graduate course in mechanics based disciplines, and will help software developers in computational mechanics. Increased understanding of the underlying numerical methods will also help practicing engineers to use the computational mechanics software more effectively.</p>
http://www.lavoisier.eu/books/mathematics/analytic-methods-for-coagulation-fragmentation-models-volume-ii/banasiak-jacek/description_4133580
Analytic Methods for Coagulation-Fragmentation Models, Volume II
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317367999.jpg" alt="Book's cover:Analytic Methods for Coagulation-Fragmentation Models, Volume II" /><br /><p><strong><em>Analytic Methods for Coagulation-Fragmentation Models</em></strong> is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the subsequent detailed treatment of more up-to-date investigations which have led to significant theoretical developments on topics such as solvability and the long-term behaviour of solutions. To make the account as self-contained as possible, the mathematical tools that feature prominently in these modern treatments are introduced at appropriate places. The main theme of Volume I is the analysis of linear fragmentation models, with Volume II devoted to processes that involve the nonlinear contribution of coagulation.</p><b><p>Features of Volume II:</p><ul></b><p><li>A primer on weak compactness in L <sub>1 </sub>and dynamical systems</li><p></p><p><li>A comprehensive theory of solvability of the coagulation-fragmentation equation by both the semigroup and weak compactness methods, including a thorough analysis of the gelation and shattering phenomena</li><p></p><p><li>A detailed analysis of the long-term dynamics of the coagulation-fragmentation equations with a state-of-the-art discussion on self-similar solutions</li><p></p></ul><p></p><p>?</p>
http://www.lavoisier.eu/books/mathematics/nonparametric-statistical-process-control/description_3824013
Nonparametric Statistical Process Control
2019-04-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317184731.jpg" alt="Book's cover:Nonparametric Statistical Process Control " /><br /><p><b>A unique approach to understanding the foundations of statistical quality control with a focus on the latest developments in nonparametric control charting methodologies</b></p> <p>Statistical Process Control (SPC) methods have a long and successful history and have revolutionized many facets of industrial production around the world. This book addresses recent developments in statistical process control bringing the modern use of computers and simulations along with theory within the reach of both the researchers and practitioners. The emphasis is on the burgeoning field of nonparametric SPC (NSPC) and the many new methodologies developed by researchers worldwide that are revolutionizing SPC.</p> <p>Over the last several years research in SPC, particularly on control charts, has seen phenomenal growth. Control charts are no longer confined to manufacturing and are now applied for process control and monitoring in a wide array of applications, from education, to environmental monitoring, to disease mapping, to crime prevention. This book addresses quality control methodology, especially control charts, from a statistician’s viewpoint, striking a careful balance between theory and practice. Although the focus is on the newer nonparametric control charts, the reader is first introduced to the main classes of the parametric control charts and the associated theory, so that the proper foundational background can be laid. </p> <ul> <li>Reviews basic SPC theory and terminology, the different types of control charts, control chart design, sample size, sampling frequency, control limits, and more</li> <li>Focuses on the distribution-free (nonparametric) charts for the cases in which the underlying process distribution is unknown</li> <li>Provides guidance on control chart selection, choosing control limits and other quality related matters, along with all relevant formulas and tables</li> <li>Uses computer simulations and graphics to illustrate concepts and explore the latest research in SPC</li> </ul> <p>Offering a uniquely balanced presentation of both theory and practice, <i>Nonparametric Methods for Statistical Quality Control </i>is a vital resource for students, interested practitioners, researchers, and anyone with an appropriate background in statistics interested in learning about the foundations of SPC and latest developments in NSPC.</p>
http://www.lavoisier.eu/books/mathematics/numerical-bifurcation-analysis-of-maps/description_3762117
Numerical Bifurcation Analysis of Maps
2019-03-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317141103.jpg" alt="Book's cover:Numerical Bifurcation Analysis of Maps" /><br />This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB® software MatcontM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatcontM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatcontM can be used to analyze more complicated models from modern engineering, ecology, and economics.
http://www.lavoisier.eu/books/mathematics/symmetrization-in-analysis/description_3753121
Symmetrization in Analysis
2019-03-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317136073.jpg" alt="Book's cover:Symmetrization in Analysis" /><br />Symmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces. Many energies, frequencies, capacities, eigenvalues, perimeters and function norms are shown to either decrease or increase under symmetrization. The book begins by focusing on Euclidean space, building up from two-point polarization with respect to hyperplanes. Background material in geometric measure theory and analysis is carefully developed, yielding self-contained proofs of all the major theorems. This leads to the analysis of functions defined on spheres and hyperbolic spaces, and then to convolutions, multiple integrals and hypercontractivity of the Poisson semigroup. The author's star function, which preserves subharmonicity, is developed with applications to semilinear PDEs. The book concludes with a thorough self-contained account of the star function's role in complex analysis, covering value distribution theory, conformal mapping and the hyperbolic metric.
http://www.lavoisier.eu/books/mathematics/geometry-in-history/description_4144858
Geometry in History
2019-08-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317376824.jpg" alt="Book's cover:Geometry in History" /><br /><p>This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.</p>
http://www.lavoisier.eu/books/mathematics/finite-geometries/description_4090162
Finite Geometries
2019-08-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317342951.jpg" alt="Book's cover:Finite Geometries" /><br /><p>The subject of Finite Geometries is a central part of discrete mathematics. Structures from Finite Geometries have led to solutions of open problems in extremal combinatorics, design theory, and coding theory and cryptography. However, there are no recent textbooks in finite geometry that have a broad scope. This book discusses non-Desarguesian planes and explains the recent proof techniques using polynomials in case of Desarguesian planes. Some applications in extremal combinatorics are also mentioned.</p>
http://www.lavoisier.eu/books/mathematics/beyond-hyperbolicity/description_4122814
Beyond Hyperbolicity
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317360094.jpg" alt="Book's cover:Beyond Hyperbolicity" /><br />Since the notion was introduced by Gromov in the 1980s, hyperbolicity of groups and spaces has played a significant role in geometric group theory; hyperbolic groups have good geometric properties that allow us to prove strong results. However, many classes of interest in our exploration of the universe of finitely generated groups contain examples that are not hyperbolic. Thus we wish to go ?beyond hyperbolicity? to find good generalisations that nevertheless permit similarly strong results. This book is the ideal resource for researchers wishing to contribute to this rich and active field. The first two parts are devoted to mini-courses and expository articles on coarse median spaces, semihyperbolicity, acylindrical hyperbolicity, Morse boundaries, and hierarchical hyperbolicity. These serve as an introduction for students and a reference for experts. The topics of the surveys (and more) re-appear in the research articles that make up Part III, presenting the latest results beyond hyperbolicity.
http://www.lavoisier.eu/books/mathematics/higher-categories-and-homotopical-algebra/description_4122674
Higher Categories and Homotopical Algebra
2019-05-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317360009.jpg" alt="Book's cover:Higher Categories and Homotopical Algebra" /><br />This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as Serre's long exact sequence, Quillen's theorems A and B, Grothendieck's smooth/proper base change formulas, and the construction of the Kan?Quillen model structure on simplicial sets - and develops an alternative to a significant part of Lurie's definitive reference Higher Topos Theory, with new constructions and proofs, in particular, the Yoneda Lemma and Kan extensions. The strong emphasis on homotopical algebra provides clear insights into classical constructions such as calculus of fractions, homotopy limits and derived functors. For graduate students and researchers from neighbouring fields, this book is a user-friendly guide to advanced tools that the theory provides for application.
http://www.lavoisier.eu/books/mathematics/an-introduction-to-systems-biology/description_3982412
An Introduction to Systems Biology
2019-08-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317333257.jpg" alt="Book's cover:An Introduction to Systems Biology" /><br /><p>Written for students and researchers in systems biology, the second edition of this best-selling textbook continues to offer a clear presentation of design principles that govern the structure and behavior of biological networks, highlighting simple, recurring circuit elements that make up the regulation of cells and tissues. Rigorously classroom-tested, it contains new additions as well as corrections and revisions for better flow. This edition includes six new chapters on exciting advances made in the last decade, and double the number of exercises.</p><p></p>
http://www.lavoisier.eu/books/mathematics/finite-elements-based-optimization/description_3915712
Finite Elements-based Optimization
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317242671.jpg" alt="Book's cover:Finite Elements-based Optimization" /><br /><p>This book is intended to be a cookbook for students and researchers to understand the finite element method and optimization methods and couple them to effect shape optimization. The optimization part of the book will survey optimization methods and focus on the genetic algorithm and Powell?s method for implementation in the codes. It will contain pseudo-code for the relevant algorithms and homework problems to reinforce the theory to compile finite element programs capable of shape optimization.</p><p>Features</p><ul><li>Enables readers to understand the finite element method and optimization methods and couple them to effect shape optimization</li><li>Presents simple approach with algorithms for synthesis</li><li>Focuses on automated computer aided design (CAD) of electromagnetic devices</li><li>Provides a unitary framework involving optimization and numerical modelling</li><li>Discusses how to integrate open-source mesh generators into your code</li><li>Indicates how parallelization of algorithms, especially matrix solution and optimization, may be approached cheaply using the graphics processing unit (GPU) that is available on most PCs today</li><li>Includes coupled problem optimization using hyperthermia as an example</li></ul>
http://www.lavoisier.eu/books/mathematics/mathematical-theory-of-subdivision/description_4162395
Mathematical Theory of Subdivision
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317387927.jpg" alt="Book's cover:Mathematical Theory of Subdivision" /><br /><p>This book provides good coverage of the powerful numerical techniques namely, finite element and wavelets, for the solution of partial differential equation to the scientists and engineers with a modest mathematical background. The objective of the book is to provide the necessary mathematical foundation for the advanced level applications of these numerical techniques. The book begins with the description of the steps involved in finite element and wavelets-Galerkin methods. The knowledge of Hilbert and Sobolev spaces is needed to understand the theory of finite element and wavelet-based methods. Therefore, an overview of essential content such as vector spaces, norm, inner product, linear operators, spectral theory, dual space, and distribution theory, etc. with relevant theorems are presented in a coherent and accessible manner. For the graduate students and researchers with diverse educational background, the authors have focused on the applications of numerical techniques which are developed in the last few decades. This includes the wavelet-Galerkin method, lifting scheme, and error estimation technique, etc. </p><p>Features:</p><p>? Computer programs in Mathematica/Matlab are incorporated for easy understanding of wavelets.</p><p>? Presents a range of workout examples for better comprehension of spaces and operators.</p><p>? Algorithms are presented to facilitate computer programming.</p><p>? Contains the error estimation techniques necessary for adaptive finite element method. </p><p>This book is structured to transform in step by step manner the students without any knowledge of finite element, wavelet and functional analysis to the students of strong theoretical understanding who will be ready to take many challenging research problems in this area. </p>
http://www.lavoisier.eu/books/mathematics/discrete-mathematics/sridharan-sriraman/description_4069826
Discrete Mathematics
2019-07-01T12:00:00+01:00
<img src="https://images.lavoisier.net/vignettes/1317332644.jpg" alt="Book's cover:Discrete Mathematics" /><br />This book covers advanced topics in Discrete Mathematics and its applications to day-to-day problems in several areas. It is intended for graduate students of Computer Science, Mathematics and Engineering. The programming languages used are Pascal and C.