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Basic Mathematics for the Physical Sciences

Basic Mathematics for the Physical Sciences
Author: Robert Lambourne
Publisher: John Wiley & Sons
Total Pages: 694
Release: 2000-04-07
Genre: Science
ISBN: 0471852074

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This textbook provides a thorough introduction to the essential mathematical techniques needed in the physical sciences. Carefully structured as a series of self-paced and self-contained chapters, this text covers the basic techniques on which more advanced material is built. Starting with arithmetic and algebra, the text then moves on to cover basic elements of geometry, vector algebra, differentiation and finally integration, all within an applied environment. The reader is guided through these different techniques with the help of numerous worked examples, applications, problems, figures, and summaries. The authors provide high-quality and thoroughly class-tested material to meet the changing needs of science students. The book: * Is a carefully structured text, with self-contained chapters. * Gradually introduces mathematical techniques within an applied environment. * Includes many worked examples, applications, problems, and summaries in each chapter. This text is an essential resource for all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics. The book's structure makes it equally valuable for course use, home study or distance learning.


Further Mathematics for the Physical Sciences

Further Mathematics for the Physical Sciences
Author: Michael Tinker
Publisher: John Wiley & Sons
Total Pages: 758
Release: 2000-06-08
Genre: Science
ISBN: 0471867233

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Further Mathematics for the Physical Sciences Further Mathematics for the Physical Sciences aims to build upon the reader's knowledge of basic mathematical methods, through a gradual progression to more advanced methods and techniques. Carefully structured as a series of self-paced and self-contained chapters, this text covers the essential and most important techniques needed by physical science students. Starting with complex numbers, the text then moves on to cover vector algebra, determinants, matrices, differentiation, integration, differential equations and finally vector calculus, all within an applied environment. The reader is guided through these different techniques with the help of numerous worked examples, applications, problems, figures and summaries. The authors aim to provide high-quality and thoroughly class-tested material to meet the changing needs of science students. Further Mathematics for the Physical Sciences: * Is a carefully structured text, with self-contained chapters. * Gradually introduces mathematical techniques within an applied environment. * Includes many worked examples, applications, problems and summaries in each chapter. Further Mathematics for the Physical Sciences will be invaluable to all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics. The book's structure will make it equally valuable for course use, home study or distance learning.


Basic Training in Mathematics

Basic Training in Mathematics
Author: R. Shankar
Publisher: Springer
Total Pages: 371
Release: 2013-12-20
Genre: Science
ISBN: 1489967982

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Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.


Mathematics for the Physical Sciences

Mathematics for the Physical Sciences
Author: James B. Seaborn
Publisher: Springer Science & Business Media
Total Pages: 250
Release: 2012-12-06
Genre: Science
ISBN: 1468492799

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The book provides a bridge from courses in general physics to the intermediate-level courses in classical mechanics, electrodynamics and quantum mechanics. The author bases the mathematical discussions on specific physical problems to provide a basis for developing mathematical intuition.


Mathematics for the Physical Sciences

Mathematics for the Physical Sciences
Author: Leslie Copley
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 559
Release: 2015-03-30
Genre: Mathematics
ISBN: 3110426242

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The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.


Essential Mathematics for the Physical Sciences, Volume 1

Essential Mathematics for the Physical Sciences, Volume 1
Author: Brett Borden
Publisher: Morgan & Claypool Publishers
Total Pages: 192
Release: 2017-10-31
Genre: Science
ISBN: 1681744856

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Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced. Solving PDEs can't be done, however, outside of the context in which they apply to physical systems. The solutions to PDEs must conform to boundary conditions, a set of additional constraints in space or time to be satisfied at the boundaries of the system, that small part of the universe under study. The first volume is devoted to homogeneous boundary-value problems (BVPs), homogeneous implying a system lacking a forcing function, or source function. The second volume takes up (in addition to other topics) inhomogeneous problems where, in addition to the intrinsic PDE governing a physical field, source functions are an essential part of the system. This text is based on a course offered at the Naval Postgraduate School (NPS) and while produced for NPS needs, it will serve other universities well. It is based on the assumption that it follows a math review course, and was designed to coincide with the second quarter of student study, which is dominated by BVPs but also requires an understanding of special functions and Fourier analysis.


Mathematics for the Physical Sciences

Mathematics for the Physical Sciences
Author: Laurent Schwartz
Publisher: Courier Dover Publications
Total Pages: 369
Release: 2008-04-21
Genre: Mathematics
ISBN: 0486466620

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Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.


Mathematics for the Physical Sciences

Mathematics for the Physical Sciences
Author: Herbert S Wilf
Publisher: Courier Corporation
Total Pages: 304
Release: 2013-01-18
Genre: Mathematics
ISBN: 0486153347

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Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.


Mathematics for Physical Science and Engineering

Mathematics for Physical Science and Engineering
Author: Frank E. Harris
Publisher: Academic Press
Total Pages: 787
Release: 2014-05-24
Genre: Mathematics
ISBN: 0128010495

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Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science. Clarifies each important concept to students through the use of a simple example and often an illustration Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple) Shows how symbolic computing enables solving a broad range of practical problems


The Role of Mathematics in Physical Sciences

The Role of Mathematics in Physical Sciences
Author: Giovanni Boniolo
Publisher: Springer Science & Business Media
Total Pages: 246
Release: 2005-07-22
Genre: Science
ISBN: 1402031076

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Even though mathematics and physics have been related for centuries and this relation appears to be unproblematic, there are many questions still open: Is mathematics really necessary for physics, or could physics exist without mathematics? Should we think physically and then add the mathematics apt to formalise our physical intuition, or should we think mathematically and then interpret physically the obtained results? Do we get mathematical objects by abstraction from real objects, or vice versa? Why is mathematics effective into physics? These are all relevant questions, whose answers are necessary to fully understand the status of physics, particularly of contemporary physics. The aim of this book is to offer plausible answers to such questions through both historical analyses of relevant cases, and philosophical analyses of the relations between mathematics and physics.