Lecture Notes On Mathematical Methods

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Exercises and Problems in Mathematical Methods of Physics

Author : Giampaolo Cicogna
Publisher : Springer Nature
ISBN 13 : 3030594726
Total Pages : 227 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Exercises and Problems in Mathematical Methods of Physics by : Giampaolo Cicogna

Download or read book Exercises and Problems in Mathematical Methods of Physics written by Giampaolo Cicogna and published by Springer Nature. This book was released on 2020-10-30 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.

Mathematical Methods of Electromagnetic Theory

Author : Kurt O. Friedrichs
Publisher : American Mathematical Soc.
ISBN 13 : 1470417111
Total Pages : 159 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Methods of Electromagnetic Theory by : Kurt O. Friedrichs

Download or read book Mathematical Methods of Electromagnetic Theory written by Kurt O. Friedrichs and published by American Mathematical Soc.. This book was released on 2014-11-12 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. While written in a distinctive, modern style, Friedrichs manages to convey the physical intuition and 19th century basis of the equations, with an emphasis on conservation laws. Particularly striking features of the book include: (a) a mathematically rigorous derivation of the interaction of electromagnetic waves with matter, (b) a straightforward explanation of how to use variational principles to solve problems in electro- and magnetostatics, and (c) a thorough discussion of the central importance of the conservation of charge. It is suitable for advanced undergraduate students in mathematics and physics with a background in advanced calculus and linear algebra, as well as mechanics and electromagnetics at an undergraduate level. Apart from minor corrections to the text, the notation was updated in this edition to follow the conventions of modern vector calculus. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Mathematical Methods and Models in Biomedicine

Author : Urszula Ledzewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461441781
Total Pages : 426 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematical Methods and Models in Biomedicine by : Urszula Ledzewicz

Download or read book Mathematical Methods and Models in Biomedicine written by Urszula Ledzewicz and published by Springer Science & Business Media. This book was released on 2012-10-20 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that can be brought in to meet these challenges and this book presents a palette of such tools ranging from discrete cellular automata to cell population based models described by ordinary differential equations to nonlinear partial differential equations representing complex time- and space-dependent continuous processes. Both stochastic and deterministic methods are employed to analyze biological phenomena in various temporal and spatial settings. This book illustrates the breadth and depth of research opportunities that exist in the general field of mathematical biomedicine by highlighting some of the fascinating interactions that continue to develop between the mathematical and biomedical sciences. It consists of five parts that can be read independently, but are arranged to give the reader a broader picture of specific research topics and the mathematical tools that are being applied in its modeling and analysis. The main areas covered include immune system modeling, blood vessel dynamics, cancer modeling and treatment, and epidemiology. The chapters address topics that are at the forefront of current biomedical research such as cancer stem cells, immunodominance and viral epitopes, aggressive forms of brain cancer, or gene therapy. The presentations highlight how mathematical modeling can enhance biomedical understanding and will be of interest to both the mathematical and the biomedical communities including researchers already working in the field as well as those who might consider entering it. Much of the material is presented in a way that gives graduate students and young researchers a starting point for their own work.

Mathematical Methods

Author : Sadri Hassani
Publisher : Springer Science & Business Media
ISBN 13 : 038721562X
Total Pages : 673 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Mathematical Methods by : Sadri Hassani

Download or read book Mathematical Methods written by Sadri Hassani and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.

Lecture Notes on Mathematical Methods

Author : Mihir Sen
Publisher :
ISBN 13 : 9781501075742
Total Pages : 502 pages
Book Rating : 4.0/5 (757 download)

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Book Synopsis Lecture Notes on Mathematical Methods by : Mihir Sen

Download or read book Lecture Notes on Mathematical Methods written by Mihir Sen and published by . This book was released on 2014-09-06 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: The course objective is tosurvey topics in applied mathematics, including multidimensional calculus, ordinary differ-ential equations, perturbation methods, vectors and tensors, linear analysis, linear algebra,and non-linear dynamic systems. In short, the course fully explores linear systems and con-siders effects of non-linearity, especially those types that can be treated analytically.

Lectures On Advanced Mathematical Methods For Physicists

Author : N Mukunda
Publisher : World Scientific
ISBN 13 : 9814465275
Total Pages : 289 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Lectures On Advanced Mathematical Methods For Physicists by : N Mukunda

Download or read book Lectures On Advanced Mathematical Methods For Physicists written by N Mukunda and published by World Scientific. This book was released on 2010-04-27 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics (including string theory), while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics.Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and de Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles.Part II starts with a review of group theory, followed by the basics of representation theory. A thorough description of Lie groups and algebras is presented with their structure constants and linear representations. Root systems and their classifications are detailed, and this section of the book concludes with the description of representations of simple Lie algebras, emphasizing spinor representations of orthogonal and pseudo-orthogonal groups.The style of presentation is succinct and precise. Involved mathematical proofs that are not of primary importance to physics student are omitted. The book aims to provide the reader access to a wide variety of sources in the current literature, in addition to being a textbook of advanced mathematical methods for physicists.

Mathematical Methods

Author : Sadri Hassani
Publisher : Springer Science & Business Media
ISBN 13 : 0387095047
Total Pages : 828 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Mathematical Methods by : Sadri Hassani

Download or read book Mathematical Methods written by Sadri Hassani and published by Springer Science & Business Media. This book was released on 2008-10-08 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 calculus, the book continues with infinite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Dirac delta function provide an introduction to modern topics in mathematical physics. This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section on Probability and plenty of new material on tensors and integral transforms.

Mathematical Methods For Physics

Author : H. W. Wyld
Publisher : CRC Press
ISBN 13 : 0429978642
Total Pages : 395 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Mathematical Methods For Physics by : H. W. Wyld

Download or read book Mathematical Methods For Physics written by H. W. Wyld and published by CRC Press. This book was released on 2018-03-14 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.

Linear Functional Analysis

Author : Bryan Rynne
Publisher : Springer Science & Business Media
ISBN 13 : 1447136551
Total Pages : 276 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Linear Functional Analysis by : Bryan Rynne

Download or read book Linear Functional Analysis written by Bryan Rynne and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the the ory of metric spaces). Part of the development of functional analysis can be traced to attempts to find a suitable framework in which to discuss differential and integral equa tions. Often, the appropriate setting turned out to be a vector space of real or complex-valued functions defined on some set. In general, such a vector space is infinite-dimensional. This leads to difficulties in that, although many of the elementary properties of finite-dimensional vector spaces hold in infinite dimensional vector spaces, many others do not. For example, in general infinite dimensional vector spaces there is no framework in which to make sense of an alytic concepts such as convergence and continuity. Nevertheless, on the spaces of most interest to us there is often a norm (which extends the idea of the length of a vector to a somewhat more abstract setting). Since a norm on a vector space gives rise to a metric on the space, it is now possible to do analysis in the space. As real or complex-valued functions are often called functionals, the term functional analysis came to be used for this topic. We now briefly outline the contents of the book.

Lecture Notes in Applied Differential Equations of Mathematical Physics

Author : Luiz C. L. Botelho
Publisher : World Scientific
ISBN 13 : 9812814574
Total Pages : 340 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Lecture Notes in Applied Differential Equations of Mathematical Physics by : Luiz C. L. Botelho

Download or read book Lecture Notes in Applied Differential Equations of Mathematical Physics written by Luiz C. L. Botelho and published by World Scientific. This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis is a well-established powerful method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and statistical turbulence. This book presents a unique, modern treatment of solutions to fractional random differential equations in mathematical physics. It follows an analytic approach in applied functional analysis for functional integration in quantum physics and stochastic Langevin?turbulent partial differential equations.

Methods and Models in Mathematical Biology

Author : Johannes Müller
Publisher : Springer
ISBN 13 : 3642272517
Total Pages : 721 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Methods and Models in Mathematical Biology by : Johannes Müller

Download or read book Methods and Models in Mathematical Biology written by Johannes Müller and published by Springer. This book was released on 2015-08-13 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universität München. The main themes are modeling principles, mathematical principles for the analysis of these models and model-based analysis of data. The key topics of modern biomathematics are covered: ecology, epidemiology, biochemistry, regulatory networks, neuronal networks and population genetics. A variety of mathematical methods are introduced, ranging from ordinary and partial differential equations to stochastic graph theory and branching processes. A special emphasis is placed on the interplay between stochastic and deterministic models.

Advanced Mathematical Methods for Scientists and Engineers I

Author : Carl M. Bender
Publisher : Springer Science & Business Media
ISBN 13 : 1475730691
Total Pages : 605 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Advanced Mathematical Methods for Scientists and Engineers I by : Carl M. Bender

Download or read book Advanced Mathematical Methods for Scientists and Engineers I written by Carl M. Bender and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

Lecture Notes on the Mathematics of Acoustics

Author : Matthew C. M. Wright
Publisher : World Scientific
ISBN 13 : 1860944965
Total Pages : 308 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Lecture Notes on the Mathematics of Acoustics by : Matthew C. M. Wright

Download or read book Lecture Notes on the Mathematics of Acoustics written by Matthew C. M. Wright and published by World Scientific. This book was released on 2005 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures given at a one week summer school held at the University of Southampton, July 2003.

Introduction to Mathematical Methods in Bioinformatics

Author : Alexander Isaev
Publisher : Springer Science & Business Media
ISBN 13 : 9783540219736
Total Pages : 316 pages
Book Rating : 4.2/5 (197 download)

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Book Synopsis Introduction to Mathematical Methods in Bioinformatics by : Alexander Isaev

Download or read book Introduction to Mathematical Methods in Bioinformatics written by Alexander Isaev and published by Springer Science & Business Media. This book was released on 2006-09-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book looks at the mathematical foundations of the models currently in use. All existing books on bioinformatics are software-orientated and they concentrate on computer implementations of mathematical models of biology. This book is unique in the sense that it looks at the mathematical foundations of the models, which are crucial for correct interpretation of the outputs of the models.

Lecture Notes on Mathematical Methods

Author : N. Alexandrou
Publisher :
ISBN 13 :
Total Pages : 157 pages
Book Rating : 4.:/5 (795 download)

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Book Synopsis Lecture Notes on Mathematical Methods by : N. Alexandrou

Download or read book Lecture Notes on Mathematical Methods written by N. Alexandrou and published by . This book was released on 1994 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Partial Differential Equations

Author : Peter J. Olver
Publisher : Springer Science & Business Media
ISBN 13 : 3319020994
Total Pages : 636 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Partial Differential Equations by : Peter J. Olver

Download or read book Introduction to Partial Differential Equations written by Peter J. Olver and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.

Mathematical Methods in the Physical Sciences

Author : Mary L. Boas
Publisher : John Wiley & Sons
ISBN 13 : 9788126508105
Total Pages : 868 pages
Book Rating : 4.5/5 (81 download)

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Book Synopsis Mathematical Methods in the Physical Sciences by : Mary L. Boas

Download or read book Mathematical Methods in the Physical Sciences written by Mary L. Boas and published by John Wiley & Sons. This book was released on 2006 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market_Desc: · Physicists and Engineers· Students in Physics and Engineering Special Features: · Covers everything from Linear Algebra, Calculus, Analysis, Probability and Statistics, to ODE, PDE, Transforms and more· Emphasizes intuition and computational abilities· Expands the material on DE and multiple integrals· Focuses on the applied side, exploring material that is relevant to physics and engineering· Explains each concept in clear, easy-to-understand steps About The Book: The book provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference. This book helps readers gain a solid foundation in the many areas of mathematical methods in order to achieve a basic competence in advanced physics, chemistry, and engineering.