A First Course in Mathematical Physics

A First Course in Mathematical Physics PDF

Author: Colm T. Whelan

Publisher: John Wiley & Sons

Published: 2016-06-27

Total Pages: 343

ISBN-13: 3527413332

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The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers.

A First Course in Coding Theory

A First Course in Coding Theory PDF

Author: Raymond Hill

Publisher: Oxford University Press

Published: 1986

Total Pages: 268

ISBN-13: 9780198538035

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Algebraic coding theory is a new and rapidly developing subject, popular for its many practical applications and for its fascinatingly rich mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes. Based on courses given by the author over several years to advanced undergraduates and first-year graduated students, this guide includes a large number of exercises, all with solutions, making the book highly suitable for individual study.

A First Course in Analysis

A First Course in Analysis PDF

Author: John B. Conway

Publisher: Cambridge University Press

Published: 2018

Total Pages: 357

ISBN-13: 1107173140

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This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.

Chenier's Practical Math Dictionary

Chenier's Practical Math Dictionary PDF

Author: Norman J. Chenier

Publisher: Chenier Educational Enterprises, Incorporated

Published: 1997

Total Pages: 0

ISBN-13: 9780962606113

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This book is ideal for reference. Its size (Approximately 6" X 7 1/2") is designed to make it as versitile as possible and still give the reader the necessary tools to master basic math concepts. All are designed with practical application in mind. It includes squaring, leveling, lay-out techniques, etc. and so much more.

Linear Algebra

Linear Algebra PDF

Author: Larry E. Knop

Publisher: CRC Press

Published: 2008-08-28

Total Pages: 748

ISBN-13: 1584887834

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Linear Algebra: A First Course with Applications explores the fundamental ideas of linear algebra, including vector spaces, subspaces, basis, span, linear independence, linear transformation, eigenvalues, and eigenvectors, as well as a variety of applications, from inventories to graphics to Google's PageRank. Unlike other texts on the subject, thi

A First Course in the Calculus of Variations

A First Course in the Calculus of Variations PDF

Author: Mark Kot

Publisher: American Mathematical Society

Published: 2014-10-06

Total Pages: 311

ISBN-13: 1470414953

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This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.

A Practical Course in Differential Equations and Mathematical Modelling

A Practical Course in Differential Equations and Mathematical Modelling PDF

Author: Nail H. Ibragimov

Publisher: World Scientific

Published: 2009

Total Pages: 365

ISBN-13: 9814291951

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A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author?s own theoretical developments. The book ? which aims to present new mathematical curricula based on symmetry and invariance principles ? is tailored to develop analytic skills and ?working knowledge? in both classical and Lie?s methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author?s extensive teaching experience at Novosibirsk and Moscow universities in Russia, CollŠge de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.