From Ordinary to Partial Differential Equations

Author: Giampiero Esposito

Publisher: Springer

ISBN: 3319575449

Category: Mathematics

Page: 432

View: 9701

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This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincaré and Darboux to basic tools of modern mathematics. It enables them to acquire the sensibility necessary for the formulation and solution of difficult problems, with an emphasis on concepts, rigour and creativity. It consists of eight self-contained parts: ordinary differential equations; linear elliptic equations; calculus of variations; linear and non-linear hyperbolic equations; parabolic equations; Fuchsian functions and non-linear equations; the functional equations of number theory; pseudo-differential operators and pseudo-differential equations. The author leads readers through the original papers and introduces new concepts, with a selection of topics and examples that are of high pedagogical value.
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A Textbook on Ordinary Differential Equations

Author: Shair Ahmad,Antonio Ambrosetti

Publisher: Springer

ISBN: 3319164082

Category: Mathematics

Page: 331

View: 3518

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This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available. Instructors who wish to adopt the book may request the manual by writing directly to one of the authors.
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Mathematical Finance: Theory Review and Exercises

From Binomial Model to Risk Measures

Author: Emanuela Rosazza Gianin,Carlo Sgarra

Publisher: Springer Science & Business Media

ISBN: 3319013572

Category: Mathematics

Page: 277

View: 320

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The book collects over 120 exercises on different subjects of Mathematical Finance, including Option Pricing, Risk Theory, and Interest Rate Models. Many of the exercises are solved, while others are only proposed. Every chapter contains an introductory section illustrating the main theoretical results necessary to solve the exercises. The book is intended as an exercise textbook to accompany graduate courses in mathematical finance offered at many universities as part of degree programs in Applied and Industrial Mathematics, Mathematical Engineering, and Quantitative Finance.
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Theory and Simulation of Random Phenomena

Mathematical Foundations and Physical Applications

Author: Ettore Vitali,Mario Motta,Davide Emilio Galli

Publisher: Springer

ISBN: 3319905155

Category: Science

Page: 235

View: 4419

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The purpose of this book is twofold: first, it sets out to equip the reader with a sound understanding of the foundations of probability theory and stochastic processes, offering step-by-step guidance from basic probability theory to advanced topics, such as stochastic differential equations, which typically are presented in textbooks that require a very strong mathematical background. Second, while leading the reader on this journey, it aims to impart the knowledge needed in order to develop algorithms that simulate realistic physical systems. Connections with several fields of pure and applied physics, from quantum mechanics to econophysics, are provided. Furthermore, the inclusion of fully solved exercises will enable the reader to learn quickly and to explore topics not covered in the main text. The book will appeal especially to graduate students wishing to learn how to simulate physical systems and to deepen their knowledge of the mathematical framework, which has very deep connections with modern quantum field theory.
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A Primer on PDEs

Models, Methods, Simulations

Author: Sandro Salsa,Federico Vegni,Anna Zaretti,Paolo Zunino

Publisher: Springer Science & Business Media

ISBN: 8847028620

Category: Mathematics

Page: 489

View: 7298

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This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. It has evolved while teaching courses on partial differential equations during the last decade at the Politecnico of Milan. The main purpose of these courses was twofold: on the one hand, to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences and on the other hand to give them a solid background for numerical methods, such as finite differences and finite elements.
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Combined Membership List

Author: American Mathematical Society,Society American Mathematical,Colleges American Mathematical Associatio,Mathematics Society for Industrial and Appli,America Mathematical Association of

Publisher: N.A

ISBN: 9780821810897

Category: Mathematics

Page: 392

View: 4438

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Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
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