A Concise Course of Mathematics with Applications : A Conceptual Study / Nicolas Laos.

Format:

Book

Author/Creator:

Laos, Nicolas, author.

Language:

English

Subjects (All):

Mathematics.

Physical Description:

1 online resource (454 pages)

Edition:

First edition.

Place of Publication:

Newcastle upon Tyne, England : Cambridge Scholars Publishing, [2024]

Summary:

This book covers the following topics: Mathematical Philosophy; Mathematical Logic; the Structure of Number Sets and the Theory of Real Numbers, Arithmetic and Axiomatic Number Theory, and Algebra (including the study of Sequences and Series); Matrices and Applications in Input-Output Analysis and Linear Programming; Probability and Statistics; Classical Euclidean Geometry, Analytic Geometry, and Trigonometry; Vectors, Vector Spaces, Normed Vector Spaces, and Metric Spaces; basic principles of non-Euclidean Geometries and Metric Geometry; Infinitesimal Calculus and basic Topology (Functions, Limits, Continuity, Topological Structures, Homeomorphisms, Differentiation, and Integration, including Multivariable Calculus and Vector Calculus); Complex Numbers and Complex Analysis; basic principles of Ordinary Differential Equations; as well as mathematical methods and mathematical modeling in the natural sciences (including physics, engineering, biology, and neuroscience) and in the social sciences (including economics, management, strategic studies, and warfare problems).

Contents:

Intro

Dedication

Contents

List of Illustrations

List of Tables

Preface

Introduction

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Bibliography

Nicolas Laos's Photographs with Other Scientists and Philosophers.

Notes:

Description based on publisher supplied metadata and other sources.

Description based on print version record.

Includes bibliographical references.

ISBN:

1-03-640979-1