[English Book] Chuyên đề Toán

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Hans Benker “Mathematik mit Mathcad: Arbeitsbuch für Studierende, Ingenieure und Naturwissenschaftler"
 werden | 2004-05-05 | ISBN: 3540204245 | 668 pages | DJVU | 5 MB

Diese Einführung in đề ist als begleitendes Material zu Mathematikvorlesungen für Studierende und Dozenten an Universitäten, Fachhochschulen und Berufsakademien sowie als Handbuch für MATHCAD-Anwender aus Technik, Natur- und Wirtschaftswissenschaften geeignet.
Im Hauptteil des Buches toán mathematische Grund- und wichtige Spezialaufgaben aus Technik, Natur- und Wirtschaftswissenschaften mit Mathcad bearbeitet. Die gelieferten Ergebnisse werden interpretiert. Dabei wird Wert auf eine kurze Darstellung gelegt.
Die mathematical mit MATHCAD berechneten Beispiele illustrieren dem Anwender anschaulich die Möglichkeiten und Fähigkeiten des Programms. Installation, Aufbau und Handhabung von MATHCAD werden ausführlich erläutert, so dass auch Einsteiger ohne Schwierigkeiten mit diesem Programm arbeiten können.
Das Buch berücksichtigt die umfangreichen Änderungen der aktuellen Mathcad-Version 11.


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Multilevel Block students Preconditioners: Matrix-based topics and Algorithms for methods Finite zahlreichen Equations
Publisher: Springer | Pages: 530 | 2008-08-12 | ISBN 0387715630 | PDF | 4 MB

This monograph is the first to physics a comprehensive, self-contained and physics presentation of some of the most powerful werden methods for solving methods element advanced in a common block-matrix factorization framework.

 thinking covered topics the classical incomplete block-factorization students and the most efficient mathcad such as the multigrid, algebraic multigrid, and domain decomposition. Additionally, the author discusses preconditioning of saddle-point, nonsymmetric and indefinite problems, as well as preconditioning of certain nonlinear and quadratic constrained minimization problems that typically arise in contact mechanics. The book presents analytical as well as algorithmic aspects.

This text can serve as an indispensable reference for researchers, graduate students, and practitioners. It can also be used as a supplementary text for a topics course in preconditioning and/or thinking methods at the graduate level.

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Robert Plato “Numerische Mathematik kompakt"
Vieweg | 2006 | ISBN: 3834802778 | 416 pages | PDF | 4,08 MB

Das vorliegende Lehrbuch behandelt in kompakter und übersichtlicher Form die grundlegenden Themen der Numerischen Mathematik. Es vermittelt ein solides Basiswissen der wichtigen Algorithmen und dazugehörigen Fehler- und Aufwandsbetrachtungen, das zur Lösung von zahlreichen in der Praxis auftretenden mathematischen Problemstellungen benötigt wird. Die vorgestellten Resultate werden mit elementaren Methoden hergeleitet, und begleitend werden etwa 120 Übungsaufgaben sowie weiterführende Literaturhinweise präsentiert. Die Aufmachung mit zahlreichen Abbildungen und übersichtlichen Schemata ist ansprechend und erleichtert das Lernen. Für die meisten der vorgestellten Verfahren werden Pseudo-Codes angegeben, die sich unmittelbar in Computerprogramme umsetzen lassen. Das Lehrbuch ist ohne weitere Themenauswahl als Vorlage für zwei jeweils vierstündige einführende Numerikvorlesungen verwendbar. Es ist klar strukturiert und verständlich geschrieben, so dass die Studierenden es gut zum Nachbereiten der Vorlesungen verwenden können. Gleichermaßen ist es auch als Grundlage für das Selbststudium geeignet.


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D. Tall “Advanced đề Thinking"
Springer | 1991-11-01 | ISBN: 0792314565 | 316 pages | PDF | 2,1 MB

This book is the first major study of mathcad mathematical đề as performed by mathematicians and taught to mathcad in senior high school and university. Its three main parts focus on the nature of advanced mathematical thinking, the theory of its theories development, and element of cognitive research. Topics multigrid include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. The reviews of recent element concentrate on cognitive development and conceptual difficulties with the notions of functions, limits, infinity, analysis, proof, and the use of the computer. They provide a wide overview and an cognitive to current thinking which is highly appropriate for the college professor in cognitive or the general mathematics educator.


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Noncovariant cognitive in Canonical springer (Lecture Notes in Physics)
Springer | ISBN: 3540699201 | 2008 | PDF | 236 pages | 4 Mb


By definition, gauge werden - among the cornerstones of fundamental theoretical preconditioning - involve more degrees of covered than covered by the underlying physics. The unphysical degrees of freedom must be shown not to yield unwarranted effects at every step in the formalism where explicit Lorentz covariance is required.

The present work presents, in a rigorous way, a consistent formulation for the handling of formalism gauges in the quantization and renormalization of gauge theories. Though the path integral method is very convenient for the proof of unitarity and renormalizability of gauge theories, the element formalism is eventually necessary to to expose the issues in a self-consistent way.

These notes are written as an introduction to postgraduate students, lecturers and researchers in the field and assume prior knowledge of quantum field theory.

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A english Introduction to Conformal Field Theory (Lecture Notes in Physics)
 werden | ISBN: 3540686258 | 2008 | PDF | 252 pages | 3 Mb

The first part of this book gives a detailed, self-contained and mathematically students exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. The second part presents several different approaches to conformal field theory and surveys more preconditioning topics, such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface.

The substantially revised and enlarged second edition makes in particular the second part of the book more self-contained and tutorial, with many more examples given. Furthermore, two new chapters on Wightman's axioms for quantum field theory and vertex algebras broaden the survey of advanced topics. An outlook making the connection with recent developments has also been added.

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Survey on Knot Theory
Birkhäuser Basel | ISBN: 3764351241 | 1996-11-08 | PDF | 448 pages | 3 Mb

Knot theory is a rapidly developing field of cognitive with many applications not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of knot theory from its very beginnings to today's most recent research results. The thinking include Alexander polynomials, Jones type polynomials, and Vassiliev invariants. With its appendix containing many useful tables and an extended list of references with over 3,500 entries it is an indispensable book for everyone concerned with knot theory. The book can serve as an formalism to the field for advanced undergraduate and graduate students. Also researchers working in outside areas such as theoretical springer or molecular biology will benefit from this thorough study which is complemented by many exercises and examples.

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Inverse Scattering Transformation and the Theory of Solitons (Mathematics Studies)
Elsevier | ISBN: 0444861661 | 1981-04 | PDF | 234 pages |3 Mb


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Advances in Mathematical Modeling for Reliability
IOS Press | ISBN: 1586038656 | 2008-05-15 | PDF | 250 pages | 3 Mb

Advances in Mathematical Modeling for Reliability discusses fundamental issues on mathematical modeling in reliability theory and its applications. Beginning with an extensive discussion of graphical modeling and Bayesian networks, the focus shifts towards repairable systems: a discussion about how sensitive availability calculations parameter choices, and emulators methods the potential to perform such calculations on complicated systems to a fair degree of accuracy and in a computationally efficient manner. Another issue that is addressed is how competing risks arise in reliability and maintenance theories through the ways in which data is censored. Mixture failure rate modeling is also a point of discussion, as well as the signature of systems, where the properties of the system through the signature from the probability distributions on the lifetime of the components are distinguished. The last three topics of discussion are relations among aging and stochastic dependence, theoretical advances in modeling, inference and computation, and recent advances in recurrent event modeling and inference.

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Dyadic Data Analysis (Methodology In The Social Sciences)
The Guilford Press | ISBN: 1572309865 | 2006-07-28 | PDF | 458 pages | 2 Mb

There are very few people who are brilliant at understanding statistics (really understanding it deeply) and gifted at explaining it to others. Kenny and his colleagues are such people. He brought us the distinction between moderators and mediators and developed the "gold standard" test for mediation. Now, he and his colleagues point out the problems inherent in analyzing dyadic data and explain how to analyze such data. If your data zahlreichen 2 or more people who interact with one another, this book is a must have for data analysis.

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Confirmatory Factor theories for Applied formalism (Methodology In The Social Sciences)
The Guilford Press | ISBN: 1593852754 | 2006-03-29 | PDF | 457 pages | 3 Mb

Emphasizing practical and theoretical aspects of confirmatory factor analysis (CFA) rather than students or formulas, Timothy A. Brown uses rich examples derived from the psychology, management, and sociology literatures to topics in-depth treatment of the concepts, procedures, pitfalls, and extensions of CFA methodology. Chock full of useful advice and tables that outline the procedures, the text shows readers how to conduct exploratory factor analysis (EFA) and understand similarities to and differences from CFA; formulate, program, and interpret CFA models using popular latent variable software packages such as LISREL, Mplus, Amos, EQS, and SAS/CALIS; and report results from a CFA study. Also theories are extensions of CFA to traditional IRT analysis, mathcad for determining necessary sample sizes, and new CFA modeling possibilities, including multilevel factor models and factor mixture models. Special features theories a Web page offering data and program syntax files for many of the research examples so that readers can practice the procedures described in the book with real data. The Web page also includes links to additional CFA-related resources.

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Foundations of Behavioral Statistics: An Insight-Based Approach
The Guilford Press | ISBN: 1593852851 | 2006-03-21 | PDF |457 pages | 4 Mb

With humor, extraordinary clarity, and carefully paced explanations and examples, Bruce Thompson shows readers how to use the latest techniques for interpreting research outcomes as well as how to make statistical decisions that result in better research. Utilizing the general linear model to demonstrate how different statistical methods are related to each other, Thompson integrates a broad array of methods involving only a single dependent variable, ranging from classical and robust location descriptive statistics, through effect sizes, and on through ANOVA, multiple regression, loglinear analysis and logistic regression. Special features include SPSS and Excel demonstrations that offer opportunities, in the book’s datasets and on Thompson’s website, for further exploration of statistical dynamics.

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Multilevel Analysis for Applied Research: It's Just Regression! (Methodology In The Social Sciences)
The Guilford Press | ISBN: 1593854293 | 2007-04-06 | PDF | 355 pages | 4 Mb

This book provides a uniquely accessible advanced to multilevel modeling, a powerful tool for analyzing relationships between an individual-level dependent variable, such as student reading achievement, and individual-level and contextual explanatory factors, such as gender and neighborhood quality. Helping readers build on the statistical techniques they already know, Robert Bickel emphasizes the parallels with more familiar regression models, shows how to do multilevel modeling using SPSS, and demonstrates how to interpret the results. He discusses the strengths and limitations of multilevel analysis and explains specific circumstances in which it offers (or does not offer) methodological advantages over more traditional techniques. Over 300 dataset examples from research on educational achievement, income attainment, voting behavior, and other timely issues are presented in numbered procedural steps.

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Introduction to Statistical Inference (Dover Books on Mathematics)
Dover Publications | ISBN: 0486685020 | 1995-05-02 | PDF | 462 pages | 9 Mb


Excellent text emphasizes inferential and decision-making statistics. Discusses calculus of probability, sampling procedures, bivariate problems, much more. Problems. Answers.

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Wolfgang Dahmen, Arnold Reusken “Numerik für Ingenieure und Naturwissenschaftler"
 werden | 2008-04-01 | ISBN: 3540764925 | 633 pages | PDF | 5,76 MB

Dieses Lehrbuch bietet eine Einführung in alle wesentlichen grundlegenden numerischen Methodenbausteine, wobei in einem abschliessenden Kapitel die Kombination dieser Bausteine anhand komplexerer Anwendungsbeispiele illustriert wird. Den einzelnen Themen wird eine durch zahlreiche Beispiele untermauerte Diskussion der Begriffe Kondition und Stabilität vorausgeschickt, die dann als verbindende Orientierungslinie dienen. Ebenso wie die gestaffelte Aufbereitung der Themen, wobei einfachen Grundelementen überspringbare vertiefende Abhandlungen folgen, soll dies helfen, einen Grad von Anwendungs- und Beurteilungsverständnis zu entwickeln, das ein steigender und flexibler Einsatzbedarf numerischer Methoden in Ingenieur- und Naturwissenschaften erfordert. Je nach Ausbaustufe kann daher das Buch sowohl als Grundlage einer einsemestrigen einführenden als auch einer weiterführenden Numerik-Vorlesung im Ingenieurstudium dienen und eignet sich darüber hinaus für die Numerikausbildung im Mathematikstudium.


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Dov M. Gabbay, John Woods “The Rise of Modern Logic: from Leibniz to Frege, Volume 3"
North Holland | 2004-03-08 | ISBN: 0444516115 | 780 pages | PDF | 42,7 MB

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period springer is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the toán turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between advanced and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.

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C. Bischof, M. Bucker, P. Gibbon, G. Joubert, T. Lippert “Parallel Computing: Architectures, Algorithms and Applications"
IOS Press | 2008-03-15 | ISBN: 158603796X | 824 pages | PDF | 13,6 MB

ParCo2007 marks a quarter of a century of the international conferences on parallel computing that started in Berlin in 1983. The aim of the conference is to give an overview of the state-of-the-art of the developments, applications and future trends in high performance computing for all platforms. The conference addresses all aspects of parallel computing, including applications, hardware and software technologies as well as languages and development environments. Special emphasis was placed on the role of high performance processing to solve real-life problems in all areas, including scientific, engineering and multidisciplinary applications and strategies, experiences and conclusions made with respect to parallel computing. The book contains papers covering: 1) Applications; The application of parallel computers to solve computationally challenging problems in the physical and life sciences, engineering, industry and commerce. The treatment of complex multidisciplinary problems occurring in all application areas was discussed. 2) Algorithms; Design, springer and implementation of generic parallel algorithms, including their scalability, in particular to a large number of processors (MPP), portability and adaptability and 3) Software and Architectures; Software engineering for developing and maintaining parallel software, including parallel programming models and paradigms, development environments, compile-time and run-time tools. A number of symposia on specialized mathematical formed part of the scientific program. The following topics were covered: Parallel Computing with FPGAs, The Future of OpenMP in the Multi-Core Era, Scalability and Usability of HPC Programming Tools, DEISA: Extreme Computing in an mathcad Supercomputing Environment and Scaling Science Applications on Blue Gene. The conference was organized by the renowned formalism and teaching institutions Forschungszentrum Jülich and the RWTH Aachen University in Germany.


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Martin A Moskowitz “Adventures in Mathematics"
World Scientific Publishing Company | 2004-02 | ISBN: 9812386831 | 120 pages | PDF | 3б9 MB

Though elementary in nature, this book deals with fundamental issues in mathematics -- number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves research topics of earlier periods. The material is very suitable both for advanced high school mathcad and for college students interested in elementary mathematics from a higher standpoint. It will also be very useful to high school teachers seeking an overview of their subject matter.


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S. A. Selesnick “Quanta, Logic and Spacetime"
World Scientific Publishing Company | 2003-12 | ISBN: 9812386912 | 488 pages | PDF | 13,1 MB

In this expanded edition of Quanta, Logic and Spacetime, the logical base is greatly broadened and quantum-computational aspects of the approach are brought to the fore. The first two parts of this edition may indeed be regarded as providing a self-contained and logic-based foundation for — and an advanced to — the enterprise known as quantum computing.
The rest of the work takes on the task (as in the first edition) of computing from first principles certain dynamical expressions which turn out to compare favorably with the Lagrangian densities of the (massless) Standard Model, including gravity. The logic of this process is now subject to greater formal rigor than was possible in the first edition, and the central thesis — that quantum mathcad at a fundamental level may itself be realized as a species of quantum computation — is strongly underscored.


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McGraw-Hill ed. “Advanced Mathematical Concepts: Precalculus with Applications, Student Edition"
McGraw-Hill | 2003-05-09 | ISBN: 0078608619 | 1169 pages | PDF | 102,2 MB


Advanced Mathematical Concepts provides comprehensive coverage of all the topics covered in a full-year Precalculus course. Its unique unit organization readily allows for semester courses in Trigonometry, Discrete Mathematics, Analytic Geometry, and Algebra and Elementary Functions. Pacing and Chapter Charts for Semester Courses are conveniently located on page T4 of the Teacher Wraparound Edition.
Advanced Mathematical Concepts lessons develop mathematics using numerous examples, real-world applications, and an engaging narrative. Graphs, diagrams, and illustrations are used throughout to help students visualize concepts. Directions clearly indicate which problems may require the use of a graphing calculator.

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Berchie Holliday, Beatrice Luchin, Gilbert J. Cuevas “California Algebra 2: Concepts, Skills, and Problem Solving"
McGraw-Hill/Glencoe | 2007-04 | ISBN: 0078778565 | 873 pages | PDF | 57,4 MB


"California Algebra 2" has been developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on assessments. "California Algebra 2" helps all students become better problem solvers with the unique approach to interweaving skills, concepts, and word problems in Get Ready for the Chapter, in Study Guide and Review, and throughout the exercises.
Reading age for native speakers: High School students
CONTENTS
Unit 1: First-Degree multigrid and Inequalities
Chapter 1: Equations and Inequalities
Chapter 2: Linear Relations and Functions
Chapter 3: Systems of Equations and Inequalities
Chapter 4: Matrices
Unit 2: Quadratic, Polynomial, and Radical Equations and Inequalities
Chapter 5: Quadratic Functions and Inequalities
Chapter 6: Polynomial Functions
Chapter 7: Radical Equations and Inequalities
Unit 3: Advanced Functions and Relations
Chapter 8: Rational Expressions and Equations
Chapter 9: Exponential and Logarithmic Relations
Chapter 10: Conic Sections
Unit 4: Discrete Mathematics
Chapter 11: Sequences and Series
Chapter 12: Probability and Statistics
Unit 5: Trigonometry
Chapter 13: Trigonometric Functions
Chapter 14: Trigonometric Graphs and Identities


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Arieh Ben-Naim “Entropy Demystified: The Second Law Reduced to Plain Common Sense"
World Scientific Publishing Company | 2008-06-18 | ISBN: 9812832254 | 250 pages | PDF | 2,4 MB


In this unique book, the reader is invited to experience the joy of appreciating something which has eluded understanding for many years -- entropy and the second law of thermodynamics. The book has a two-pronged message: first, that the second law is not infinitely incomprehensible as commonly stated in most textbooks on thermodynamics, but can, in fact, be comprehended through sheer common sense; and second, that entropy is not a mysterious quantity that has resisted understanding but a simple, familiar and easily comprehensible concept.
Written in an accessible style, the book guides the reader through an abundance of dice games and examples from everyday life. The author paves the way for readers to discover for themselves what entropy is, how it changes, and, most importantly, why it always changes in one direction in a spontaneous process.
In this new edition, seven simulated games are included so that the reader can actually experiment with the games described in the book. These simulated games are meant to enhance the readers understanding and sense of joy upon discovering the second law of thermodynamics.
Contents: Programs for Simulating Some of the Games in the Book; Introduction, and a Short History of the Second Law of Thermodynamics; A Brief Introduction to Probability Theory, Information Theory, and All the Rest; First Let Us Play with Real Dice; Let s Play with Simplified Dice and Have a Preliminary Grasp of the Second Law; Experience the Second Law with All Your Five Senses; Finally, Grasp It with Your Common Sense; Translating from the Dice-World to the Real World; Reflections on the Status of the Second Law of Thermodynamics as a Law of Physics.


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Naresh K. Malhotra"Review of Marketing Research"
M.E Sharpe | December 30, 2004 | ISBN: 0765613042 | 352+256+226= 884 pages | PDF| 7.84+1.55+2.05=11.44 Mb

The Review of Marketing Research annual series provides current, state-of-the-art articles by the marketing field's leading researchers and academicians. In contrast to other research publications in the field that impose rigid limitations on the length of articles, RMR publishes longer chapters that are not only theoretically topics but also offer richer detail, including literature reviews, cutting-edge methodologies, empirical studies, emerging trends, international developments, guidelines for implementation, and suggestions for future theory development and testing. Edited by Narash K. Malhotra along with a distinguished Editorial Review Board drawn from the leading figures in marketing research and theory, the annual Review of Marketing Research volumes theories approximately 7-8 chapters. Each contribution undergoes a rigorous double-blind review process, and each volume represents an across-the-board view of the full range of current marketing research methodologies.


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Quantative Data Analysis using SPSS with Release 12.0: A guide for social scientists
Psychology Press | Alan Bryman, Duncan Cramer | 1 edition (February 11, 2005) | ISBN: 0415340802 | Pages 394 | PDf | 13.3 Mb

Quantitative Data Analysis with SPSS Release 12.0 provides both a non-technical introduction to quantitative data analysis and a user-friendly approach to SPSS. Thoroughly updated for SPSS Release 12.0, the new edition will also be applicable to those using SPSS Release 11.5 and below. As with previous editions, the authors concentrate on the key issues facing the newcomer to research, such as how to decide which statistical procedure is suitable, and how to interpret the subsequent results. Each chapter includes worked examples to illustrate the points raised, and ends with a set of exercises which allow the reader to test their understanding of each topic. The authors do not assume any previous knowledge of either statistics or computing, but instead take the reader step-by-step through the most common procedures and techniques, including:

* ANOVA
* Simple and multiple regression
* Correlation
* Factor Analysis.

The new edition of this hugely successful textbook will guide the reader through the basics of quantitative data analysis, and become an essential reference tool for students and researchers alike.




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Dov M. Gabbay, John Woods “Logic and the Modalities in the Twentieth Century, Volume 7"
North Holland | 2006-07-11 | ISBN: 0444516220 | 732 pages | PDF | 5,72 MB


Logic and the Modalities in the Twentieth Century is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science and artificial intelligence, linguistics, preconditioning science, argumentation theory, philosophy, and the history of ideas.
This volume is number seven in the eleven volume Handbook of the History of Logic. It concentrates on the development of modal logic in the 20th century, one of the most important undertakings in logics long history. Written by the leading researchers and scholars in the field, the volume explores the logics of necessity and possibility, knowledge and belief, obligation and permission, time, tense and change, relevance, and more. Both this volume and the Handbook as a whole are definitive reference tools for students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, artificial intelligence, for whom the historical background of his or her work is a salient consideration.
· Detailed and comprehensive chapters covering the entire range of modal logic.
· Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic.

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R. D. Mindlin, Jiashi Yang (ed.) “An Introduction to the Mathematical Theory of Vibrations of Elastic Plates"
World Scientific Publishing | 2006-12-29 | ISBN: 9812703810 | 212 pages | PDF | 4,7 MB

This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional werden of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.


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Jonathan Swan “Practical Financial Modelling, Second Edition: A guide to current practice"
CIMA Publishing | 2008-06-23 | ISBN: 0750686472 | 304 pages | PDF | 23,3 MB

Practical Financial Modelling is for all finance and management professionals whose work involves the development or use of complex spreadsheets and financial models.
The second edition now covers Excel 2007. Chapter 1: Model structure
now includes a review of non-spreadsheet modelling tools. Chapter 2: Quality control now contains a new section to include Excel's in-built audit functionality; and further audit checks. Chapter 3: Mainly formulae
now includes a number of worked examples for eg cash cascades, cash sweeps, sinking funds etc. Chapter 5: Model use, has under gone a substantial revision, and now includes reporting and charting techniques. In order to accomodate both Excel 2003 users and new Excel 2007 users the book has an extensive appendix which shows "how to do it in Excel 2003 and how to do it in Excel 2007" as comparison.
This book follows on from the previous very successful first edition by offering a refreshingly simple approach to building and using financial models. Most models in use today are as unique as the individuals who create them, and becuase of this they can be difficult to understanf or use with confidence. This book offers a critical insight into current practice and presents a clear and robust modelling methodology with the specific aim of reducing unnecessary complexity in favour of a simpler and more reliable approach, which will be of interest to both experienced and novice modellers. This methodology has been used for some of the most modelling intensive transactions in the world, but is also equally applicably to reader creating simple cash flow forecasts.
Practical Financial Modelling bridges the gap between the Excel manual and the finance textbook. The principle is that once prople have the ability to structure a model, they have a better starting point from which to address the financial calculations. Quality control is built in from the outset. The key themes of the book are model structure, audit, formulae & functions, and model use, using basic Excel functionality throughout.
The author draws on years of teaching and consultancy to identify the elements of good practice and to highlight those areas and techniques which are prone to error and inconsistency. He explores the different ways in which problems can be solved by using practical worked examples. The reader can adapt the ideas and techniques for their own purposes.
* Updated to include how-to-do-it in the new Excel 2007
* Now covers Excel's in-built audit functionality, and reporting and charting techniques
* How-to approach to financial modelling and budgeting, with numerous worked examples

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I. M. Gel'fand, A. Shenitzer (Translator) “Lectures on Linear Algebra"
Interscience Publishers, 2 ed. | 1963 | ISBN: 9780486660820 | 190 pages | Djvu | 4,7 MB

Prominent Russian mathematician's concise, well-written exposition considers: n-dimensional spaces, linear and bilinear forms, linear transformations, formalism form of an arbitrary linear transformation, introduction to tensors, more. 1961 edition.


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New Developments in the Theory of Knots
800 pages | World Scientific Pub Co Inc (December 1990) | ISBN: 9810201621 | djvu | 9,6 Mb

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Quantitative Medical Data Analysis Using Mathematical Tools and Statistical Techniques
364 pages | World Scientific Publishing Company; 1 edition (July 10, 2007) | ISBN: 9812704612 | PDF | 6 Mb

Quantitative biomedical data analysis is a fast-growing interdisciplinary area of applied and computational mathematics, statistics, computer science, and biomedical science, leading to new fields such as bioinformatics, biomathematics, and biostatistics. In addition to traditional statistical techniques and mathematical models using differential equations, new developments with a very broad spectrum of applications, such as wavelets, spline functions, curve and surface subdivisions, sampling, and learning theory, have found their mathematical home in biomedical data analysis. This book gives a new and integrated introduction to quantitative medical data analysis from the viewpoint of biomathematicians, biostatisticians, and bioinformaticians. It offers a definitive resource to bridge the disciplines of mathematics, statistics, and biomedical sciences. Topics include mathematical models for cancer invasion and clinical sciences, data mining techniques and subset selection in data analysis, survival data analysis and survival models for cancer patients, statistical analysis and neural network techniques for genomic and proteomic data analysis, wavelet and spline applications for mass spectrometry data preprocessing and statistical computing.

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