Higher Mathematics for Physics and Engineering


Author: Hiroyuki Shima,Tsuneyoshi Nakayama

Publisher: Springer Science & Business Media

ISBN: 9783540878643

Category: Science

Page: 688

View: 312

Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

A Concise Handbook of Mathematics, Physics, and Engineering Sciences


Author: Andrei D. Polyanin,Alexei I. Chernoutsan

Publisher: CRC Press

ISBN: 9781439806401

Category: Mathematics

Page: 1125

View: 999

A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students find difficult to understand. The first part of the book contains chapters on arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, functions of complex variables, integral transforms, ordinary and partial differential equations, special functions, and probability theory. The second part discusses molecular physics and thermodynamics, electricity and magnetism, oscillations and waves, optics, special relativity, quantum mechanics, atomic and nuclear physics, and elementary particles. The third part covers dimensional analysis and similarity, mechanics of point masses and rigid bodies, strength of materials, hydrodynamics, mass and heat transfer, electrical engineering, and methods for constructing empirical and engineering formulas. The main text offers a concise, coherent survey of the most important definitions, formulas, equations, methods, theorems, and laws. Numerous examples throughout and references at the end of each chapter provide readers with a better understanding of the topics and methods. Additional issues of interest can be found in the remarks. For ease of reading, the supplement at the back of the book provides several long mathematical tables, including indefinite and definite integrals, direct and inverse integral transforms, and exact solutions of differential equations.

Advanced Mathematical Methods for Scientists and Engineers I

Asymptotic Methods and Perturbation Theory


Author: Carl M. Bender,Steven A. Orszag

Publisher: Springer Science & Business Media

ISBN: 9780387989310

Category: Mathematics

Page: 593

View: 8933

This book gives 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. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form. The presentation provides insights that will be useful in approaching new problems.

Mathematics for Quantum Chemistry


Author: Jay Martin Anderson

Publisher: Courier Corporation

ISBN: 0486151484

Category: Science

Page: 160

View: 4871

Introduction to problems of molecular structure and motion covers calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics. Answers to problems. 1966 edition.

Schaum's Outline of Advanced Mathematics for Engineers and Scientists


Author: Murray Spiegel

Publisher: McGraw Hill Professional

ISBN: 9780071702423

Category: Mathematics

Page: 432

View: 2157

Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's. More than 40 million students have trusted Schaum's Outlines to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you: Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

Mathematical Methods for Physicists and Engineers

Second Corrected Edition


Author: Royal Eugene Collins

Publisher: Courier Corporation

ISBN: 0486150127

Category: Science

Page: 400

View: 4736

Practical text focuses on fundamental applied math needed to deal with physics and engineering problems: elementary vector calculus, special functions of mathematical physics, calculus of variations, much more. 1968 edition.

Introduction to Mathematical Fluid Dynamics


Author: Richard E. Meyer

Publisher: Courier Corporation

ISBN: 9780486615547

Category: Science

Page: 185

View: 7204

An introduction to the behavior of liquids and gases, this volume provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. It is geared toward advanced undergraduate and graduate students of mathematics and general science, and it requires a background in calculus and vector analysis. 1971 edition.

Handbook of Strategic Enrollment Management


Author: Don Hossler,Bob Bontrager

Publisher: John Wiley & Sons

ISBN: 1118819535

Category: Education

Page: 656

View: 4341

Improve student enrollment outcomes and meet institutional goalsthrough the effective management of student enrollments. Published with the American Association for CollegiateRegistrars and Admissions Officers (AACRAO), the Handbook ofStrategic Enrollment Management is the comprehensivetext on the policies, strategies, practices that shapepostsecondary enrollments. This volume combines relevant theoriesand research, with applied chapters on the management of officessuch as admissions, financial aid, and the registrar to provide acomprehensive guide to the complex world of Strategic EnrollmentManagement (SEM). SEM focuses on achieving enrollment goals, andsustaining institutional revenue and serving the needs of students.It provides insights into the ways SEM is practiced acrossfour-year institutions, community colleges, and professionalschools. More than just an enhanced approach to admissions and financialaid, SEM examines the student's entire educational cycle. Fromentry through graduation, this volume helps SEM professionals andgraduate students interested in enrollment management to anticipatechange and balancing the goals of revenue, access, diversity, andprestige. The Handbook of Strategic EnrollmentManagement: Provides an overview of the thinking of leading practitionersthat comprise SEM organizations, including marketing, recruitment,and admissions; tuition pricing; financial aid; the registrar'srole, academic advising; and, retention Includes up-to-date research on current issues in SEM includingcollege choice, financial aid, student persistence, and theeffective use of technology Guides readers creating strategic enrollment organizations thatfit the unique history, culture, and policy context of yourcampus Strategic enrollment management has become one of the mostimportant administrative areas in postsecondary education, and itis being adopted in countries around the globe. The Handbook ofStrategic Enrollment Management is for anyone in enrollmentmanagement, admissions, financial aid, registration and records,orientation, marketing, and institutional research who wish toenhance the health and vitality of his or her institution. It isalso an excellent text for graduate programs in higher educationand student affairs.

A Course of Higher Mathematics

Integration and Functional Analysis


Author: V. I. Smirnov

Publisher: Elsevier

ISBN: 1483222500

Category: Mathematics

Page: 650

View: 6290

A Course of Higher Mathematics, Volume V focuses on the theory of integration and elements of functional analysis. This book is organized into five chapters. Chapter I discusses the theory of the classical Stieltjes integral and space C of continuous functions, while Chapter II deals with the foundations of the metric theory of functions of a real variable and Lebesgue-Stieltjes integral. The theory of completely additive set functions and case of the one-dimensional Hellinger integral are analyzed in Chapter III. Chapter IV contains an exposition of the foundations of the general theory of metric and normed spaces. The general theory of Hilbert space is covered in Chapter V. This volume is suitable for engineers, physicists, and students of pure mathematics.