Introductory Mathematics: Algebra and Analysis

Introductory Mathematics: Algebra and Analysis

Author: Geoffrey C. Smith

Publisher: Springer Science & Business Media

Published: 2000-02-02

Total Pages: 236

ISBN-13: 9783540761785

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This text provides a lively introduction to pure mathematics. It begins with sets, functions and relations, proof by induction and contradiction, complex numbers, vectors and matrices, and provides a brief introduction to group theory. It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with continuity and functions. The book features numerous exercises of varying difficulty throughout the text.


Introductory Mathematics for Earth Scientists

Introductory Mathematics for Earth Scientists

Author: Xin-She Yang

Publisher: Dunedin Academic Press

Published: 2009

Total Pages: 0

ISBN-13: 9781906716004

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Any quantitative work in earth sciences requires mathematical analysis. Many mathematical methods are essential to the modeling and analysis of the geological, geophysical, and environmental processes widely studied in earth sciences. This book provides an introduction to the fundamental mathematics that all earth scientists need. Assuming nor more than a standard secondary school level as its starting point, the book is self-contained and provides an essential toolkit of basic mathematics for earth scientists. The topics of earth sciences are vast and multidisciplinary, and consequently the mathematical tools required by its students are diverse and complex. Introductory Mathematics for Earth Scientists strikes a fine balance between coverage and detail. Topics have been selected to provide a concise but comprehensive introductory coverage of all the major and popular mathematical methods. The book offers a 'theorem-free' approach with an emphasis on practicality. With dozens of step-by-step worked examples, the book is especially suitable for non-mathematicians and geoscientists. The topics include binomial theorem, index notations, polynomials, sequences and series, trigonometry, spherical trigonometry, complex numbers, vectors and matrices, ordinary differential equations, partial differential equations, Fourier transforms, numerical methods, and geostatistics. Introductory Mathematics for Earth Scientists introduces a wide range of fundamental and widely-used, mathematical methods. This book is ideal for both undergraduate students and postgraduate students. Additionally, it is a helpful reference for more advanced scientists.


Introductory Concepts for Abstract Mathematics

Introductory Concepts for Abstract Mathematics

Author: Kenneth E. Hummel

Publisher: CRC Press

Published: 2018-10-03

Total Pages: 345

ISBN-13: 1482285649

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Beyond calculus, the world of mathematics grows increasingly abstract and places new and challenging demands on those venturing into that realm. As the focus of calculus instruction has become increasingly computational, it leaves many students ill prepared for more advanced work that requires the ability to understand and construct proofs. Introductory Concepts for Abstract Mathematics helps readers bridge that gap. It teaches them to work with abstract ideas and develop a facility with definitions, theorems, and proofs. They learn logical principles, and to justify arguments not by what seems right, but by strict adherence to principles of logic and proven mathematical assertions - and they learn to write clearly in the language of mathematics The author achieves these goals through a methodical treatment of set theory, relations and functions, and number systems, from the natural to the real. He introduces topics not usually addressed at this level, including the remarkable concepts of infinite sets and transfinite cardinal numbers Introductory Concepts for Abstract Mathematics takes readers into the world beyond calculus and ensures their voyage to that world is successful. It imparts a feeling for the beauty of mathematics and its internal harmony, and inspires an eagerness and increased enthusiasm for moving forward in the study of mathematics.


Calculus: A Complete Introduction

Calculus: A Complete Introduction

Author: Hugh Neill

Publisher: Teach Yourself

Published: 2013-05-31

Total Pages: 416

ISBN-13: 1444191136

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Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration. Everything you will need to know is here in one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.


Introductory Mathematics Through Science Applications

Introductory Mathematics Through Science Applications

Author: John Stephen Berry

Publisher: Cambridge University Press

Published: 1989-06-08

Total Pages: 564

ISBN-13: 9780521284462

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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.


Introductory Discrete Mathematics

Introductory Discrete Mathematics

Author: V. K . Balakrishnan

Publisher: Courier Corporation

Published: 2012-04-30

Total Pages: 260

ISBN-13: 0486140385

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This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.


An Introduction to Mathematics

An Introduction to Mathematics

Author: Alfred North Whitehead

Publisher: Courier Dover Publications

Published: 2017-05-04

Total Pages: 177

ISBN-13: 0486821382

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Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.


Mathematical Circles

Mathematical Circles

Author: Sergeĭ Aleksandrovich Genkin

Publisher: American Mathematical Soc.

Published: 1996

Total Pages: 286

ISBN-13: 0821804308

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Suitable for both students and teachers who love mathematics and want to study its various branches beyond the limits of school curriculum. This book contains vast theoretical and problem material in main areas of what authors consider to be 'extracurricular mathematics'.


Introductory Complex Analysis

Introductory Complex Analysis

Author: Richard A. Silverman

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 402

ISBN-13: 0486318524

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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.