Introductory Mathematics: Applications and Methods

Introductory Mathematics: Applications and Methods PDF Author: Gordon S. Marshall
Publisher: Springer Science & Business Media
ISBN: 1447134125
Category : Mathematics
Languages : en
Pages : 233

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Book Description
This book is aimed at undergraduate students embarking on the first year of a modular mathematics degree course. It is a self-contained textbook making it ideally suited to distance learning and a useful reference source for courses with the traditional lecture/tutorial structure. The theoretical content is firmly based but the principal focus is on techniques and applications. The important aims and objectives are presented clearly and then reinforced using complete worked solutions within the text. There is a natural increase in difficulty and understanding as each chapter progresses, always building upon the basic elements. It is assumed that the reader has studied elementary calculus at Advanced level and is at least familiar with the concept of function and has been exposed to basic differentiation and integration techniques. Although these are covered in the book they are presented as a refresher course to jog the student's memory rather than to introduce the topic for the first time. The early chapters cover the topics of matrix algebra, vector algebra and com plex numbers in sufficient depth for the student to feel comfortable -when they reappear later in the book. Subsequent chapters then build upon the student's 'A' level knowledge in the area of real variable calculus, including partial differentiation and mUltiple inte grals. The concluding chapter on differential equations motivates the student's learning by consideration of applications taken from both physical and eco nomic contexts.

Introductory Mathematics: Applications and Methods

Introductory Mathematics: Applications and Methods PDF Author: Gordon S. Marshall
Publisher: Springer Science & Business Media
ISBN: 1447134125
Category : Mathematics
Languages : en
Pages : 233

Get Book Here

Book Description
This book is aimed at undergraduate students embarking on the first year of a modular mathematics degree course. It is a self-contained textbook making it ideally suited to distance learning and a useful reference source for courses with the traditional lecture/tutorial structure. The theoretical content is firmly based but the principal focus is on techniques and applications. The important aims and objectives are presented clearly and then reinforced using complete worked solutions within the text. There is a natural increase in difficulty and understanding as each chapter progresses, always building upon the basic elements. It is assumed that the reader has studied elementary calculus at Advanced level and is at least familiar with the concept of function and has been exposed to basic differentiation and integration techniques. Although these are covered in the book they are presented as a refresher course to jog the student's memory rather than to introduce the topic for the first time. The early chapters cover the topics of matrix algebra, vector algebra and com plex numbers in sufficient depth for the student to feel comfortable -when they reappear later in the book. Subsequent chapters then build upon the student's 'A' level knowledge in the area of real variable calculus, including partial differentiation and mUltiple inte grals. The concluding chapter on differential equations motivates the student's learning by consideration of applications taken from both physical and eco nomic contexts.

Introductory Mathematics Through Science Applications

Introductory Mathematics Through Science Applications PDF Author: John Stephen Berry
Publisher: Cambridge University Press
ISBN: 9780521284462
Category : Mathematics
Languages : en
Pages : 564

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Book Description
Covering the basic mathematics taught to first year students of science and engineering, this book starts with two or three examples setting the new techniques to be studied in the context of the scientific world. Topics covered include calculus, ordinary and partial differential equations and statistics.

Methods of Applied Mathematics

Methods of Applied Mathematics PDF Author: Francis B. Hildebrand
Publisher: Courier Corporation
ISBN: 0486138380
Category : Mathematics
Languages : en
Pages : 386

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Book Description
This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter.

An Introduction to the Mathematics and Methods of Astrodynamics

An Introduction to the Mathematics and Methods of Astrodynamics PDF Author: Richard H. Battin
Publisher: AIAA
ISBN: 9781600860263
Category : Astrodynamics
Languages : en
Pages : 840

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Book Description


Introduction to Mathematics for Life Scientists

Introduction to Mathematics for Life Scientists PDF Author: E. Batschelet
Publisher: Springer Science & Business Media
ISBN: 364296270X
Category : Mathematics
Languages : en
Pages : 657

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Book Description
A few decades ago mathematics played a modest role in life sciences. Today, however, a great variety of mathematical methods is applied in biology and medicine. Practically every mathematical procedure that is useful in physics, chemistry, engineering, and economics has also found an important application in the life sciences. The past and present training of life scientists does by no means reflect this development. However, the impact ofthe fast growing number of applications of mathematical methods makes it indispensable that students in the life sciences are offered a basic training in mathematics, both on the undergraduate and the graduate level. This book is primarily designed as a textbook for an introductory course. Life scientists may also use it as a reference to find mathematical methods suitable to their research problems. Moreover, the book should be appropriate for self-teaching. It will also be a guide for teachers. Numerous references are included to assist the reader in his search for the pertinent literature.

Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications PDF Author: E. C. Zachmanoglou
Publisher: Courier Corporation
ISBN: 048613217X
Category : Mathematics
Languages : en
Pages : 434

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Book Description
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Mathematics for the Life Sciences

Mathematics for the Life Sciences PDF Author: Erin N. Bodine
Publisher: Princeton University Press
ISBN: 0691150729
Category : Mathematics
Languages : en
Pages : 630

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Book Description
An accessible undergraduate textbook on the essential math concepts used in the life sciences The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences. Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biology Covers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science students Provides good background for the MCAT, which now includes data-based and statistical reasoning Explicitly links data and math modeling Includes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problems Uses MATLAB throughout, and MATLAB m-files with an R supplement are available online Prepares students to read with comprehension the growing quantitative literature across the life sciences A solutions manual for professors and an illustration package is available

An Introduction to Phase-Integral Methods

An Introduction to Phase-Integral Methods PDF Author: John Heading
Publisher: Courier Corporation
ISBN: 0486316297
Category : Mathematics
Languages : en
Pages : 178

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Book Description
Introductory treatment steers a course between simplistic and rigorous approaches to provide a concise overview for advanced undergraduates and graduate students. Topics include Stokes phenomenon, one and two transition points, applications. 1962 edition.

Methods of Mathematics Applied to Calculus, Probability, and Statistics

Methods of Mathematics Applied to Calculus, Probability, and Statistics PDF Author: Richard W. Hamming
Publisher: Courier Corporation
ISBN: 0486138879
Category : Mathematics
Languages : en
Pages : 882

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Book Description
This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

A Unified Introduction to Linear Algebra

A Unified Introduction to Linear Algebra PDF Author: Alan Tucker
Publisher: MacMillan Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 568

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Book Description