John A. Cosh's Books

Clifford Algebra

A Computational Tool for Physicists

By: John Snygg

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Clifford Algebra

A Computational Tool for Physicists

By: John Snygg

Clifford algebras have become an indispensable tool for physicists at the cutting edge of theoretical investigations. Applications in physics range from special relativity and the rotating top at one end of the spectrum, to general relativity and Dirac's equation for the electron at the other. Clifford algebras have also become a virtual necessity in some areas of physics, and their usefulness is expanding in other areas, such as algebraic manipulations involving Dirac matrices in quantum thermodynamics; Kaluza-Klein theories and dimensional renormalization theories; and the formation of superstring theories. This book, aimed at beginning graduate students in physics and math, introduces readers to the techniques of Clifford algebras.

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352

Publisher

Oxford University Press, USA

Published Date

ISBN 10

0195098242

ISBN 13

9780195098242

Foundations of Hyperbolic Manifolds

By: John Ratcliffe

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Foundations of Hyperbolic Manifolds

By: John Ratcliffe

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.

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Page Count

761

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475740131

ISBN 13

9781475740134

Higher Engineering Mathematics

By: John Bird

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Higher Engineering Mathematics

By: John Bird

John Bird’s approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student’s own pace. Basic mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, foundation degrees, and HNC/D units. Now in its sixth edition, Higher Engineering Mathematics is an established textbook that has helped many thousands of students to gain exam success. It has been updated to maximise the book’s suitability for first year engineering degree students and those following foundation degrees. This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel. As such it includes the core unit, Analytical Methods for Engineers, and two specialist units, Further Analytical Methods for Engineers and Engineering Mathematics, both of which are common to the electrical/electronic engineering and mechanical engineering pathways. For ease of reference a mapping grid is included that shows precisely which topics are required for the learning outcomes of each unit. The book is supported by a suite of free web downloads: • Introductory-level algebra: To enable students to revise the basic algebra needed for engineering courses – available at http://books.elsevier.com/companions/XXXXXXXXX • Instructor's Manual: Featuring full worked solutions and mark schemes for all of the assignments in the book and the remedial algebra assignment – available at http://www.textbooks.elsevier.com (for lecturers only) • Extensive Solutions Manual: 640 pages featuring worked solutions for 1,000 of the further problems and exercises in the book – available on http://www.textbooks.elsevier.com (for lecturers only)

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Page Count

706

Publisher

Routledge

Published Date

ISBN 10

1136399127

ISBN 13

9781136399121

Bird's Comprehensive Engineering Mathematics

By: John Bird

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Bird's Comprehensive Engineering Mathematics

By: John Bird

Studying engineering, whether it is mechanical, electrical or civil, relies heavily on an understanding of mathematics. This textbook clearly demonstrates the relevance of mathematical principles and shows how to apply them in real-life engineering problems. It deliberately starts at an elementary level so that students who are starting from a low knowledge base will be able to quickly get up to the level required. Students who have not studied mathematics for some time will find this an excellent refresher. Each chapter starts with the basics before gently increasing in complexity. A full outline of essential definitions, formulae, laws and procedures is presented, before real world practical situations and problem solving demonstrate how the theory is applied. Focusing on learning through practice, it contains simple explanations, supported by 1600 worked problems and over 3600 further problems contained within 384 exercises throughout the text. In addition, 35 Revision tests together with 9 Multiple-choice tests are included at regular intervals for further strengthening of knowledge. An interactive companion website provides material for students and lecturers, including detailed solutions to all 3600 further problems.

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Page Count

1227

Publisher

Routledge

Published Date

ISBN 10

135123286X

ISBN 13

9781351232869

Handbook of Mathematics and Computational Science

By: John W. Harris,Horst Stöcker

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Handbook of Mathematics and Computational Science

By: John W. Harris,Horst Stöcker

This book gathers thousands of up-to-date equations, formulas, tables, illustrations, and explanations into one invaluable volume. It includes over a thousand pages of mathematical material as well as chapters on probability, mathematical statistics, fuzzy logic, and neural networks. It also contains computer language overviews of C, Fortran, and Pascal.

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1064

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387947469

ISBN 13

9780387947464

Geometry from a Differentiable Viewpoint

By: John McCleary

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Geometry from a Differentiable Viewpoint

By: John McCleary

A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.

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Page Count

375

Publisher

Cambridge University Press

Published Date

ISBN 10

0521116074

ISBN 13

9780521116077

Bird's Higher Engineering Mathematics

By: John Bird

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Bird's Higher Engineering Mathematics

By: John Bird

Higher Engineering Mathematics has helped thousands of students to succeed in their exams by developing problem-solving skills, It is supported by over 600 practical engineering examples and applications which relate theory to practice. The extensive and thorough topic coverage makes this a solid text for undergraduate and upper-level vocational courses. Its companion website provides resources for both students and lecturers, including lists of essential formulae, ands full solutions to all 2,000 further questions contained in the 277 practice exercises; and illustrations and answers to revision tests for adopting course instructors.

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934

Publisher

Taylor & Francis

Published Date

ISBN 10

1000353036

ISBN 13

9781000353037

Mathematics for Electrical Technicians

Level 4-5

By: John Bird,A.J.C. May

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Mathematics for Electrical Technicians

Level 4-5

By: John Bird,A.J.C. May

The definition and solution of engineering problems relies on the ability to represent systems and their behaviour in mathematical terms. Mathematics for Electrical Technicians 4/5 provides a simple and practical guide to the fundamental mathematical skills essential to technicians and engineers. This second edition has been revised and expanded to cover the BTEC Higher - 'Mathematics for Engineers' module for Electrical and Electronic Engineering Higher National Certificates and Diplomas. It will also meet the needs of first and second year undergraduates studying electrical engineering.

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510

Publisher

Routledge

Published Date

ISBN 10

1317892437

ISBN 13

9781317892434

Elementary Analysis through Examples and Exercises

By: John Schmeelk,Djurdjica Takaci,Arpad Takaci

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Elementary Analysis through Examples and Exercises

By: John Schmeelk,Djurdjica Takaci,Arpad Takaci

It is hard to imagine that another elementary analysis book would contain ma terial that in some vision could qualify as being new and needed for a discipline already abundantly endowed with literature. However, to understand analysis, be ginning with the undergraduate calculus student through the sophisticated math ematically maturing graduate student, the need for examples and exercises seems to be a constant ingredient to foster deeper mathematical understanding. To a talented mathematical student, many elementary concepts seem clear on their first encounter. However, it is the belief of the authors, this understanding can be deepened with a guided set of exercises leading from the so called "elementary" to the somewhat more "advanced" form. Insight is instilled into the material which can be drawn upon and implemented in later development. The first year graduate student attempting to enter into a research environment begins to search for some original unsolved area within the mathematical literature. It is hard for the student to imagine that in many circumstances the advanced mathematical formulations of sophisticated problems require attacks that draw upon, what might be termed elementary techniques. However, if a student has been guided through a serious repertoire of examples and exercises, he/she should certainly see connections whenever they are encountered.

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329

Publisher

Springer Science & Business Media

Published Date

ISBN 10

940158589X

ISBN 13

9789401585897

Foundations of Hyperbolic Manifolds

By: John G. Ratcliffe

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Foundations of Hyperbolic Manifolds

By: John G. Ratcliffe

This heavily class-tested book is an exposition of the theoretical foundations of hyperbolic manifolds. It is a both a textbook and a reference. A basic knowledge of algebra and topology at the first year graduate level of an American university is assumed. The first part is concerned with hyperbolic geometry and discrete groups. The second part is devoted to the theory of hyperbolic manifolds. The third part integrates the first two parts in a development of the theory of hyperbolic orbifolds. Each chapter contains exercises and a section of historical remarks. A solutions manual is available separately.

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Page Count

812

Publisher

Springer Nature

Published Date

ISBN 10

3030315975

ISBN 13

9783030315979

Theoretical Mechanics of Particles and Continua

By: Alexander L. Fetter,John Dirk Walecka

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Theoretical Mechanics of Particles and Continua

By: Alexander L. Fetter,John Dirk Walecka

This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.

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Page Count

596

Publisher

Courier Corporation

Published Date

ISBN 10

0486432610

ISBN 13

9780486432618

Newnes Engineering Mathematics Pocket Book

By: John Bird

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Newnes Engineering Mathematics Pocket Book

By: John Bird

Newnes Engineering Mathematics Pocket Book is a uniquely versatile and practical tool for a wide range of engineers and students. All the essentials of engineering mathematics are covered, with clear explanations of key methods, and worked examples to illustrate them. Numerous tables and diagrams are provided, along with all the formulae you could need. The emphasis throughout the book is on providing the practical tools needed to solve mathematical problems quickly in engineering contexts. John Bird's presentation of this core material puts all the answers at your fingertips. The contents of this book have been carefully matched to the latest Further and Higher Education syllabuses so that it can also be used as a revision guide or a quick-access source of underpinning knowledge. Students on competence-based courses such as NVQs will find this approach particularly refreshing and practical. This book and its companion title Newnes Engineering Science Pocket Book provide the underpinning knowledge for the whole range of engineering communities catered for by the Newnes Pocket Book series. These related titles include: Newnes Mechanical Engineer's Pocket Book (Roger Timings) Newnes Electrical Pocket Book (E.A. Reeves) Newnes Electronic Engineer's Pocket Book (Joe Carr & Keith Brindley) Newnes Radio and RF Engineer's Pocket Book (Joe Carr & John Davies) Newnes Telecommunications Engineer's Pocket Book (Steve Winder) The contents of this book have been carefully mathced to the latest Further and Higher Education syllabuses so that it can also be used as a revision guide or a quick-access reference source of underpinning knowledge. Students on competence-based courses such as NVQs will find this approach particularly refreshing and practical. Previous editions of Newnes Engineering Mathematics Pocket Book were published under the title Newnes Mathematics Pocket Book for Engineers.

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Page Count

463

Publisher

Routledge

Published Date

ISBN 10

1136376380

ISBN 13

9781136376382

Variational Calculus and Optimal Control

Optimization with Elementary Convexity

By: John L. Troutman

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Variational Calculus and Optimal Control

Optimization with Elementary Convexity

By: John L. Troutman

An introduction to the variational methods used to formulate and solve mathematical and physical problems, allowing the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. By helping students directly characterize the solutions for many minimization problems, the text serves as a prelude to the field theory for sufficiency, laying as it does the groundwork for further explorations in mathematics, physics, mechanical and electrical engineering, as well as computer science.

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Page Count

471

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461207371

ISBN 13

9781461207375

Calculus

An Active Approach with Projects

By: Stephen Hilbert,Diane D. Schwartz,Stan Seltzer,John Maceli,Eric Robinson

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Calculus

An Active Approach with Projects

By: Stephen Hilbert,Diane D. Schwartz,Stan Seltzer,John Maceli,Eric Robinson

This volume contains student and instructor material for the delivery of a two-semester calculus sequence at the undergraduate level. It can be used in conjunction with any textbook. It was written with the view that students who are actively involved inside and outside the classroom are more likely to succeed, develop deeper conceptual understanding, and retain knowledge than students who are passive recipients of information. Calculus: An Active Approach with Projects contains two main student sections. The first contains activities usually done in class, individually or in groups. Many of the activities allow students to participate in the development of central calculus ideas. The second section contains longer projects where students work in groups outside the classroom. These projects may involve material already presented, motivate concepts, or introduce supplementary topics. Instructor materials contained in the volume include comments and notes on each project and activity, guidelines on their implementation, and a sample curriculum which incorporates a collection of activities and projects.

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Page Count

307

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0883859726

ISBN 13

9780883859728

Introduction to Calculus and Analysis I

By: Richard Courant,Fritz John

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Introduction to Calculus and Analysis I

By: Richard Courant,Fritz John

From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text.

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685

Publisher

Springer Science & Business Media

Published Date

ISBN 10

364258604X

ISBN 13

9783642586040

Gravitation

By: Charles W. Misner,Kip S. Thorne,John Archibald Wheeler

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Gravitation

By: Charles W. Misner,Kip S. Thorne,John Archibald Wheeler

Spacetime physics -- Physics in flat spacetime -- The mathematics of curved spacetime -- Einstein's geometric theory of gravity -- Relativistic stars -- The universe -- Gravitational collapse and black holes -- Gravitational waves -- Experimental tests of general relativity -- Frontiers

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1332

Publisher

Princeton University Press

Published Date

ISBN 10

0691177791

ISBN 13

9780691177793

Physics Qualifying Examination

Problems and Solutions

By: Horacio A. Farach,Charles P. Poole, Jr.,John L. Safko, Sr.

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Physics Qualifying Examination

Problems and Solutions

By: Horacio A. Farach,Charles P. Poole, Jr.,John L. Safko, Sr.

Designed for use in tandem with the 'Handbook of Physics', this volume is nonetheless self-contained and can be used on its own. The chapters are based on lectures delivered annually by Professor Poole in a course to prepare students for their PhD qualifying examination in the physics department at the University of South Carolina. The book contains 120 selected problems (and answers) that appeared in these examinations, and each one refers to the chapter in the Handbook that discusses the background for it. Professor Farach has kept a record of all the qualifying examinations in the department since 1981. It covers all relevant physics subjects, which are otherwise scattered in different preparation publications or university scripts, including: * Atomic and General Physics * Condensed Matter Physics * Classical Mechanics * Electricity and Magnetism * Elementary Particle Physics * Nuclear Physics * Optics and Light * Quantum Mechanics * Relativity and Astrophysics * Thermo and Statistical Mechanics An excellent self-study approach to prepare physics PhD candidates for their qualifying examinations.

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Page Count

269

Publisher

John Wiley & Sons

Published Date

ISBN 10

3527408053

ISBN 13

9783527408054

Higher Engineering Mathematics, 7th ed

By: John Bird

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Higher Engineering Mathematics, 7th ed

By: John Bird

A practical introduction to the core mathematics principles required at higher engineering level John Bird’s approach to mathematics, based on numerous worked examples and interactive problems, is ideal for vocational students that require an advanced textbook. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced mathematics engineering that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper level vocational courses. Now in its seventh edition, Engineering Mathematics has helped thousands of students to succeed in their exams. The new edition includes a section at the start of each chapter to explain why the content is important and how it relates to real life. It is also supported by a fully updated companion website with resources for both students and lecturers. It has full solutions to all 1900 further questions contained in the 269 practice exercises.

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Page Count

897

Publisher

Routledge

Published Date

ISBN 10

1317937864

ISBN 13

9781317937869

Sturm-Liouville Problems

Theory and Numerical Implementation

By: Ronald B. Guenther,John W Lee

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Sturm-Liouville Problems

Theory and Numerical Implementation

By: Ronald B. Guenther,John W Lee

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical Implementation addresses, in a unified way, the key issues that must be faced in science and engineering applications when separation of variables, variational methods, or other considerations lead to Sturm-Liouville eigenvalue problems and boundary value problems.

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Page Count

421

Publisher

CRC Press

Published Date

ISBN 10

0429795351

ISBN 13

9780429795350

Understanding Engineering Mathematics

By: John Bird

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Understanding Engineering Mathematics

By: John Bird

Studying engineering, whether it is mechanical, electrical or civil relies heavily on an understanding of mathematics. This new textbook clearly demonstrates the relevance of mathematical principles and shows how to apply them to solve real-life engineering problems. It deliberately starts at an elementary level so that students who are starting from a low knowledge base will be able to quickly get up to the level required. Students who have not studied mathematics for some time will find this an excellent refresher. Each chapter starts with the basics before gently increasing in complexity. A full outline of essential definitions, formulae, laws and procedures are introduced before real world situations, practicals and problem solving demonstrate how the theory is applied. Focusing on learning through practice, it contains examples, supported by 1,600 worked problems and 3,000 further problems contained within exercises throughout the text. In addition, 34 revision tests are included at regular intervals. An interactive companion website is also provided containing 2,750 further problems with worked solutions and instructor materials

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Page Count

1184

Publisher

Routledge

Published Date

ISBN 10

1134512635

ISBN 13

9781134512638

Introduction to Sonar Transducer Design

By: John C. Cochran

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Introduction to Sonar Transducer Design

By: John C. Cochran

INTRODUCTION TO SONAR TRANSDUCER DESIGN A comprehensive introduction to sonar transducer design, complete with real world examples, step-by-step instruction, and detailed mathematical review In Introduction to Sonar Transducer Design, renowned sensor engineer Dr. John C. Cochran delivers an instructive and comprehensive exploration of the foundations of sonar transducer design perfect for beginning and experienced professional transducer designers. The book offers a detailed mathematical review of the subject, as well as fulsome design examples. Beginning with a description of acoustic wave propagation, along with a review of radiation from a variety of sources, the book moves on to discuss equivalent circuit models that explain wave propagation in solids and liquids. The book reviews examples of projectors and hydrophones accompanied by complete mathematical solutions. All included math is developed from first principles to a final solution using an intuitive, step-by-step approach. Introduction to Sonar Transducer Design offers professionals and students the analytical tools and assumptions required for start-to-finish transducer design. It also provides: A thorough introduction to acoustic waves and radiation, including small signals, linear acoustics, the equations of continuity, motion, the wave equation in a fluid media, and integral formulations Comprehensive explorations of the elements of transduction, including various forms of impedance, and mechanical and acoustical equivalent circuits, as well as their combination Practical discussions of waves in solid media, including homogeneous, isotropic, elastic, and solid media, piezoelectricity and piezoelectric ceramic materials, and waves in non-homogeneous, piezoelectric media In-depth examinations of sonar projectors and sonar hydrophones, including the elements and tools of sonar projector and sonar hydrophone design, as well as their applications Perfect for sonar system engineers, particularly those involved in defense, Introduction to Sonar Transducer Design will also earn a place in the libraries of acoustic, audio, underwater communication, and naval engineers.

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Page Count

548

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119851076

ISBN 13

9781119851073

Book's by John A. Cosh

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