Calculus: A Complete Introduction

Calculus: A Complete Introduction

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  • Author: Hugh Neill
  • Publisher: Teach Yourself
  • ISBN: 1473678455
  • Category : Mathematics
  • Languages : en
  • Pages : 368

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.


Algebra: A Complete Introduction

Algebra: A Complete Introduction

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  • Author: Hugh Neill
  • Publisher: Hachette UK
  • ISBN: 1473678420
  • Category : Mathematics
  • Languages : en
  • Pages : 400

Algebra: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using Algebra. 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 the key areas of algebra including elementary operations, linear equations, formulae, simultaneous equations, quadratic equations, logarithms, variation, laws and sequences. Everything you will need is here in this one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions. Chapter 1: The meaning of algebra Chapter 2: Elementary operations in algebra Chapter 3: Brackets and operations with them Chapter 4: Positive and negative numbers Chapter 5: Equations and expressions Chapter 6: Linear equations Chapter 7: Formulae Chapter 8: Simultaneous equations Chapter 9: Linear inequalities Chapter 10: Straight-line graphs; coordinates Chapter 11: Using inequalities to define regions Chapter 12: Multiplying algebraical expressions Chapter 13: Factors Chapter 14: Fractions Chapter 15: Graphs of quadratic functions Chapter 16: Quadratic equations Chapter 17: Indices Chapter 18: Logarithms Chapter 19: Ratio and proportion Chapter 20: Variation Chapter 21: The determination of laws Chapter 22: Rational and irrational numbers and surds Chapter 23: Arithmetical and geometric sequences


A Concrete Introduction to Higher Algebra

A Concrete Introduction to Higher Algebra

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  • Author: Lindsay N. Childs
  • Publisher: Springer Science & Business Media
  • ISBN: 1441987029
  • Category : Mathematics
  • Languages : en
  • Pages : 540

An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.


Introduction To Commutative Algebra

Introduction To Commutative Algebra

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  • Author: Michael F. Atiyah
  • Publisher: CRC Press
  • ISBN: 0429973268
  • Category : Mathematics
  • Languages : en
  • Pages : 140

First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.


An Introduction to Linear Algebra

An Introduction to Linear Algebra

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  • Author: Leonid Mirsky
  • Publisher:
  • ISBN:
  • Category : Algebra, Universal
  • Languages : en
  • Pages : 460


Introduction to Abstract Algebra

Introduction to Abstract Algebra

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  • Author: Jonathan D. H. Smith
  • Publisher: CRC Press
  • ISBN: 1498731813
  • Category : Mathematics
  • Languages : en
  • Pages : 324

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with groups.This new edition of a widely adopted textbook covers


Algebra

Algebra

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  • Author: Hugh Neill
  • Publisher: Teach Yourself
  • ISBN: 9781473678415
  • Category : Mathematics
  • Languages : en
  • Pages : 0

Algebra: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using Algebra. 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 the key areas of algebra including elementary operations, linear equations, formulae, simultaneous equations, quadratic equations, logarithms, variation, law and sequences. Everything you will need is here in this one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.


College Algebra

College Algebra

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  • Author: Jay Abramson
  • Publisher:
  • ISBN: 9789888407439
  • Category : Mathematics
  • Languages : en
  • Pages : 892

College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory


Introduction to Algebraic Geometry

Introduction to Algebraic Geometry

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  • Author: Steven Dale Cutkosky
  • Publisher: American Mathematical Soc.
  • ISBN: 1470435187
  • Category : Geometry, Algebraic
  • Languages : en
  • Pages : 484

This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.


Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra

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  • Author: Stephen Boyd
  • Publisher: Cambridge University Press
  • ISBN: 1316518965
  • Category : Business & Economics
  • Languages : en
  • Pages : 477

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.