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by Arlie O. Petters (Author), Xiaoying Dong (Author)This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce t...
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by David G. Schaeffer (Author), John W. Cain (Author)This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous t...
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by Miklós Laczkovich (Author), Vera T. Sós (Author), Gergely Bálint (Translator)Corresponds to a second course in real analysis to follow the authors' book Real Analysis: Foundations and Functions of One VariableMotivates ideas and results in analysis by exploring concepts and applicationsShowcases a comprehensive collection of exercises, allowing students to develop proficiency over a broad range of problemsBack JacketThis book develops the theory of multivariable analysis, building on the s...
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by Jean Thioulouse (Author), Stéphane Dray (Author), Anne-Béatrice Dufour (Author)This book introduces the ade4 package for R which provides multivariate methods for the analysis of ecological data. It is implemented around the mathematical concept of the duality diagram, and provides a unified framework for multivariate analysis. The authors offer a detailed presentation of the theoretical framework of the duality diagram and also of its application to real-world ecological problems. These t...
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by Jaroslaw Harezlak (Author), David Ruppert (Author), Matt P. Wand (Author)This easy-to-follow applied book on semiparametric regression methods using R is intended to close the gap between the available methodology and its use in practice. Semiparametric regression has a large literature but much of it is geared towards data analysts who have advanced knowledge of statistical methods. While R now has a great deal of semiparametric regression functionality, many of these developments have no...
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by Fred Brauer (Author), Carlos Castillo-Chavez (Author), Zhilan Feng (Author)The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influen...
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by John a. Beachy (Author)This Study Guide is a supplement to Abstract Algebra, Third Edition, by John A. Beachy and William D. Blair. It can also be used independently of the textbook, since it contains the statements of definitions and theorems from the text. It contains over 600 problems on groups, rings, and fields; more than 300 have detailed solutions. It is not a solutions manual for the exercises in the text, since it contains entirely new problems. The author's goal is to teach by ex...
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by Kenneth A. Ross (Author)For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large num...
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by Dominic Ford (Author)To the naked eye, the most evident defining feature of the planets is their motion across the night sky. It was this motion that allowed ancient civilizations to single them out as different from fixed stars. "The Observer's Guide to Planetary Motion" takes each planet and its moons (if it has them) in turn and describes how the geometry of the Solar System gives rise to its observed motions.Although the motions of the planets may be described as simple elliptical orbi...
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by Matila Ghyka (Author)This is a new release of the original 1946 edition. Number of Pages: 192 Dimensions: 0.41 x 9.02 x 5.98 IN Publication Date: October 27, 2013
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by F. Landis Markley (Author), John L. Crassidis (Author)This book explores topics that are central to the field of spacecraft attitude determination and control. The authors provide rigorous theoretical derivations of significant algorithms accompanied by a generous amount of qualitative discussions of the subject matter. The book documents the development of the important concepts and methods in a manner accessible to practicing engineers, graduate-level engineering students and applied mat...
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by Leping Yang (Author), Yanwei Zhu (Author), Xianhai Ren (Author)On-orbit operations optimization among multiple cooperative or noncooperative spacecraft, which is often challenged by tight constraints and shifting parameters, has grown to be a hot issue in recent years. The authors of this book summarize related optimization problems into four planning categories: spacecraft multi-mission planning, far-range orbital maneuver planning, proximity relative motion planning and multi-spacecraft ...
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by Goro Shimura (Author)In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement for his "important and extensive work on arithmetical geometry and automorphic forms." His seminal work has resulted in the "many notations in number theory that carry his name and that have long been familiar to workers in the field." These 4 volumes contain 103 of his most important papers, beginning in 1954 and continuing up through the present. Number of Pages: 795 Dimensions: 1.62 x 9.2...
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by Goro Shimura (Author)In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement for his "important and extensive work on arithmetical geometry and automorphic forms." His seminal work has resulted in the "many notations in number theory that carry his name and that have long been familiar to workers in the field." These 5 volumes contain 103 of his most important papers, beginning in 1954 and continuing up through the present. Number of Pages: 831 Dimensions: 1.68 x 9.2...
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by Goro Shimura (Author)In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement for his "important and extensive work on arithmetical geometry and automorphic forms." His seminal work has resulted in the "many notations in number theory that carry his name and that have long been familiar to workers in the field." These 5 volumes contain 103 of his most important papers, beginning in 1954 and continuing up through the present. Number of Pages: 924 Dimensions: 1.85 x 9.2...
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by Goro Shimura (Author)In 1996 the AMS awarded Goro Shimura the Steele Prize for Lifetime Achievement for his "important and extensive work on arithmetical geometry and automorphic forms." His seminal work has resulted in the "many notations in number theory that carry his name and that have long been familiar to workers in the field." These 5 volumes contain 103 of his most important papers, beginning in 1954 and continuing up through the present. Number of Pages: 754 Dimensions: 1.53 x 9.2...
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by Houshang H. Sohrab (Author)This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language.The text is a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable. The chapters on Lebesgue measure and integral have been rewritten entirely and greatly improved. They now contain Lebesgue's differentiatio...
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by Russell G. Almond (Author), Robert J. Mislevy (Author), Linda S. Steinberg (Author)This book reviews the literature on graphical models from the statistics and artificial intelligence communities in which they are quite popular and looks at specific applications of these models to educational testing.Back JacketBayesian inference networks, a synthesis of statistics and expert systems, have advanced reasoning under uncertainty in medicine, business, and social sciences. This innovative volu...
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by Felipe Linares (Author), Gustavo Ponce (Author)1. The Fourier Transform.- 2. Interpolation of Operators.- 3. Sobolev Spaces and Pseudo-Differential Operators.- 4. The Linear Schrodinger Equation.- 5. The Non-Linear Schrodinger Equation.- 6. Asymptotic Behavior for NLS Equation.- 7. Korteweg-de Vries Equation.- 8. Asymptotic Behavior for k-gKdV Equations.- 9. Other Nonlinear Dispersive Models.- 10. General Quasilinear Schrodinger Equation.- Proof of Theorem 2.8.- Proof of Lemma 4.2.- Refere...
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by Stephen Abbott (Author)This book outlines an elementary, one-semester course that exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.This new edition is extensively r...
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by Samuel N. Cohen (Author), Robert J. Elliott (Author)Part I: Measure Theoretic Probability.- Measure Integral.- Probabilities and Expectation.- Part II: Stochastic Processes.- Filtrations, Stopping Times and Stochastic Processes.- Martingales in Discrete Time.- Martingales in Continuous Time.- The Classification of Stopping Times.- The Progressive, Optional and Predicable -Algebras.- Part III: Stochastic Integration.- Processes of Finite Variation.- The Doob-Meyer Decomposition.- The Struct...
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by Matthias Beck (Author), Sinai Robins (Author)This textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. Because there is no other book that puts together all of these ideas in one place, this text is truly a service to the mathematical community. We encounter here a friendly invitation t...
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by Hardy Grant (Author), Israel Kleiner (Author)This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation.Some of the turning points considered ar...
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by Olver Lawrence (Author)This book contains a list of Arabic and Roman Numerals from 1 to 3,000. It should be useful for Movie Buffs who need to check the Copyright Year of Movies or for teachers who need a master list for conversion purposes. This is a handy reference to save the time and effort that goes into decoding or encoding Roman Numerals. Number of Pages: 66 Dimensions: 0.14 x 9 x 6 IN Publication Date: December 30, 2013
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by Samuel N. Cohen (Author), Robert J. Elliott (Author)Part I: Measure Theoretic Probability.- Measure Integral.- Probabilities and Expectation.- Part II: Stochastic Processes.- Filtrations, Stopping Times and Stochastic Processes.- Martingales in Discrete Time.- Martingales in Continuous Time.- The Classification of Stopping Times.- The Progressive, Optional and Predicable -Algebras.- Part III: Stochastic Integration.- Processes of Finite Variation.- The Doob-Meyer Decomposition.- The Struct...
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by John R. Birge (Author), François Louveaux (Author)The aim of stochastic programming is to find optimal decisions in problems which involve uncertain data. This field is currently developing rapidly with contributions from many disciplines including operations research, mathematics, and probability. At the same time, it is now being applied in a wide variety of subjects ranging from agriculture to financial planning and from industrial engineering to computer networks. This textbook provide...
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by Jorge Nocedal (Author), Stephen Wright (Author)The new edition of this book presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. Its publication responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. This new edition has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free meth...
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by Sadri Hassani (Author)Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material. Beginning with reviews of vector algebra and differential and integral cal...
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by J. L. Berggren (Author)Preface.- 1. Introduction.- 2. Islamic Arithmetic.- 3. Geometrical Constructions in the Islamic World.- 4. Algebra in Islam.- 5. Trigonometry in the Islamic World.- 6. Spherics in the Islamic World.- Index.Back JacketThis book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include ...
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by Rodney G. Downey (Author), Denis R. Hirschfeldt (Author)Computability and complexity theory are two central areas of research in theoretical computer science. Until recently, most work in these areas concentrated on problems over discrete structures, but there has been enormous growth of computability theory and complexity theory over the real numbers and other continuous structures, especially incorporating concepts of "randomness." This book provides a systematic, technical development o...
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by John Baillieul (Other), A. M. Bloch (Author), Peter Crouch (Other)This book explores some of the connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis of the topic is appropriate as there is a particularly rich connection between mechanics and nonlinear con...
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by Christopher M. Bishop (Author)This is the first text on pattern recognition to present the Bayesian viewpoint, one that has become increasing popular in the last five years. It presents approximate inference algorithms that permit fast approximate answers in situations where exact answers are not feasible. It provides the first text to use graphical models to describe probability distributions when there are no other books that apply graphical models to machine learning. It is also the fir...