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]]>The book is more of a practical read as it informs the readers of the scenarios in which differential equations are used. General readers will not be able to benefit from this book since substantial knowledge of the subject is needed for one to understand the book. Students that have done a year in Calculus will be able to understand the book better. There are four editions of the book with the latest edition having an additional chapter on Sturm Louisville boundary value problems. The problems in the book range from easy to complex so that the reader can be aware of all of them.

- Different chapters deal with different kinds of differential equations, including both first order and second order differential equations.
- Systems of these differential equations also have a whole chapter for them.

- Chapter 1 First-order differential equations
- Chapter 2 Second-order linear differential equations
- Chapter 3 Systems of differential equations
- Chapter 4 Qualitative theory of differential equations
- Chapter 5 Separation of variables and Fourier series
- Chapter 6 Sturm-Liouville boundary value problems
- Appendix A Some simple facts concerning functions of several variables
- Appendix B Sequences and series
- Appendix C C Programs
- Answers to odd-numbered exercises
- Index

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]]>The post Download Combinatorics and Graph Theory Pdf Free appeared first on Mathematics pdf.

]]>The book deals with different aspects of Combinatorics. The authors have kept the tone of the book quite friendly and along the way, there are many jokes and formal language so that the reader is not bored or tired out by the complicated content of the book. The book is filled with problems and their proofs. Moreover, there are quite a few examples for every concept so that the reader can have a broader vision of the content. There is a chapter on nite Combinatorics and graphs. The book is written in such a way that the reader can read each chapter independently or they can also combine all chapters together.

- The book is a bit complex so prior knowledge of the subject is required for one to understand the book and its content.
- The author has made the book very friendly and even with the light tone, the book is quite informational and comprehensive.
- Special types of graphs are discussed in the book including distance graphs.
- The relations of graphs and matrices are also discussed.

- Graph Theory
- Introductory Concepts
- Graphs and Their Relatives
- The Basics
- Special Types of Graphs
- Distance in Graphs
- Definitions and a Few Properties
- Graphs and Matrices
- Graph Models and Distance Trees
- Definitions and Examples
- Properties of Trees Spanning Trees
- Counting Trees.
- Trails, Circuits, Paths, and Cycles The Bridges of K¨onigsberg
- Eulerian Trails and Circuits
- Hamiltonian Paths and Cycles
- Three Open Problem Planarity
- Planarity
- Definitions and Examples
- Euler’s Problems and beyond
- Regular polyhedra

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]]>The post Download Classic Set Theory For Guided Independent Study Pdf appeared first on Mathematics pdf.

]]>The book is aimed at independent study so the contents are explained in a way that they are suitable for students who have no help from any source. Natural numbers and real numbers are explained in the book with respect to each other. At the same time, sets are also explained in the book with relation to other mathematical terms and aspects. The best part about the book is the way in which it teaches real analysis to the students so that they can solve math sums and understand the complication in mathematical problems.

- The content of the book is written in quite a modern way for the students to understand modern math and its applications.
- For students to test their knowledge, there are exercises in the book. These exercises range from basic to complicated levels so that students can test their selves at all levels.
- Axioms are also mentioned in the book and they are explained in a well-planned way for the better understanding of the reader.

- The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers
- Defining natural numbers in terms of sets
- The potential paradoxes in set theory
- The Zermelo-Fraenkel axioms for set theory
- The axiom of choice
- The arithmetic of ordered sets
- Cantor’s two sorts of transfinite number – cardinals and ordinals – and the arithmetic of these.

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]]>The post Download A Mathematical Introduction to Logic Pdf Free appeared first on Mathematics pdf.

]]>The book starts with the introduction of sets and it has a whole chapter dedicated to it so that the reader can get the gist of it. Formal languages are also discussed in the first chapter so that the reader can be made familiar with them. A major focus is given to sentential logic and the chapters explain to the reader how to use it and the mathematical language to get answers to your math problems.

- Different models are discussed in the book as the writer has aimed the book to be helpful in all aspects of logic.
- Number theory is also made the focus of the book as it lays the foundation of numerous math principles and problems.

Preface

INTRODUCTION

CHAPTER ZERO

Useful Facts about Sets

CHAPTER ONE Sentential Logic

1.0 Informal Remarks on Formal Languages

1.1 The Language of Sentential Logic

1.2 Truth Assignments

1.3 A Parsing Algorithm

1.4 Induction and Recursion

1.5 Sentential Connectives

1.6 Switching Circuits

1.7 Compactness and Effectiveness CHAPTER TWO

First-Order Logic

2.0 Preliminary Remarks

2.1 First-Order Language

2.2 Truth and Models

2.3 A Parsing Algorithm

2.4 A Deductive Calculus

2.5 Soundness and Completeness Theorems

2.6 Models of Theories

2.7 Interpretations Of Theories

2.8 Nonstandard Analysis CHAPTER THREE Undecidability

3.0 Number Theory

3.1 Natural Numbers with Successor

3.2 Other Reducts of Number Theory

3.3 A Subtheory of Number Theory

3.4 Arithmetization of Syntax

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]]>The post What Is Mathematics? An Elementary Approach to Ideas and Methods Pdf appeared first on Mathematics pdf.

]]>The book is basically an overview of math for students. A variety of topics are discussed in the book, ranging from the number theory to topology. The book is divided into different sections and chapters which makes it easy for the reader to understand the book. The book is written in such a way that the reader can take benefit of the first chapter without having to move on to the next as each chapter is quite independent.

- The author has written the book in a way that it is more of a literature study that readers can thoroughly enjoy.
- The aim of the author was to make math interesting for the reader because when one’s interest is developed, one can have a much better understanding of the subject.
- The book touches on simple and complex topics including topology and calculus.

LIST] ]

Preface

[*] How to use the book

[*] What is mathematics?

[*] The natural numbers

[LIST] [*] Introduction

[*] Calculations with Integers [LIST]

[*] Laws of Arithmetic

[*] The Representation of Integers

[*] Computation in Systems Other than the Decimal [/LIST]

[*] The Infinitude of the Number System. Mathematical Induction [LIST]

*] The Principle of Mathematical Induction [*] The Arithmetical Progression

[*] The Geometrical Progression

[*] The Sum of the First n Squares

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]]>The post Download Sacred Mathematics: Japanese Temple Geometry Pdf Free appeared first on Mathematics pdf.

]]>The book offers insight into Japanese mathematics and the reader can appreciate the difference that is present in that math and the one of the Western world. At the same time, the reader can also see the similarities and be inspired by them. This can be used as a course book for teaching students about geometry and at the same time, it can also be a source of rich information for them. This book is the place where art, culture, and math come together to create something that can only stun.

Foreword by Freeman Dyson ix

Preface by Fukagawa Hidetoshi xiii

Preface by Tony Rothman xv

Acknowledgments xix

What Do I Need to Know to Read This Book? xxi

Notation xxv

Chapter 1: Japan and Temple Geometry 1

Chapter 2: The Chinese Foundation of Japanese Mathematics 27

Chapter 3: Japanese Mathematics and Mathematicians

of the Edo Period 59

Chapter 4: Easier Temple Geometry Problems 89

Chapter 5: Harder Temple Geometry Problems 145

Chapter 6: Still Harder Temple Geometry Problems 191

Chapter 7: The Travel Diary of Mathematician Yamaguchi Kanzan 243

Chapter 8: East and West 283

Chapter 9: The Mysterious Enri 301

Chapter 10: Introduction to Inversion 313

For Further Reading 337

Index 341

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]]>The post Download Mathematics: From the Birth of Numbers Pdf Free appeared first on Mathematics pdf.

]]>The book takes the reader on a voyage through time in which the reader encounters various math terms and principles such as the number theory, trigonometry, calculus and so many other fields. The book provides a connection between math and technology along with making a connection between math and humanities. The author’s aim when writing this book was to make it easy to read for everyone.

- Everyone can benefit from this book whether you do not have any knowledge of the subject or whether you want to learn more about it.
- There are decorative drawing, cartoons, and illustrations in the book to make it interesting for the reader.

- Contents in Brief
- Preface
- Contents
- Foreword: “Mathematics in Our Culture”
- Information for the Reader
- Chapter 1: Numbers and Language ….. 1
- Chapter 2: Systems of Numeration ….. 31
- Chapter 3: Types of Numbers ….. 69
- Chapter 4: Cornerstones of Mathematics ….. 97
- Chapter 5: Combinatorics ….. 183
- Chapter 6: Symbolic Logic ….. 215
- Chapter 7: Set Theory ….. 231
- Chapter 8: Introduction to Sequences and Series ….. 263
- Chapter 9: Theory of Equations ….. 295
- Chapter 10: Introduction to Functions ….. 335
- Chapter 11: Overture to the Geometries ….. 363
- Chapter 12: Elementary Geometry ….. 385
- Chapter 13: Trigonometry ….. 457
- Chapter 14: Hyperbolic Functions ….. 533
- Chapter 15: Analytic Geometry ….. 547
- Chapter 16: Vector Analysis ….. 599
- Chapter 17: Fractals ….. 625
- Chapter 18: Matrices and Determinants ….. 637
- Chapter 19: Embarking on Calculus ….. 671
- Chapter 20: Introduction to Differential Calculus ….. 683
- Chapter 21: Introduction to Integral Calculus ….. 721
- Chapter 22: Power Series ….. 765
- Chapter 23: Indeterminate Limits ….. 779
- Chapter 24: Complex Numbers Revisited ….. 787
- Chapter 25: Extrema and Critical Points ….. 797
- Chapter 26: Arc Length ….. 827
- Chapter 27: Centroids ….. 837
- Chapter 28: Area ….. 851
- Chapter 29: Volume ….. 871
- Chapter 30: Motion ….. 891

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]]>The post Download Mathematicians: An Outer View of the Inner World Pdf Free appeared first on Mathematics pdf.

]]>This book is a tribute to all those people that made a change in the world and that contributed to the subject somehow. The photographer has also added short autobiographies of the mathematicians under their pictures. This book can serve as a coffee table book for those people who have an eye for art and intellect in the world and especially those individuals who have a deeper connection with math. The mathematicians in the book are shown as people just like everyone else. They are parents and brothers and sisters for someone. All the pictures are in black and white and this somehow adds character to the pictures. All pictures are accompanied by essays that are written by the mathematicians themselves. These essays show the other side of these people and how they became interested in math.

- The book offers insight into the lives of some of the greatest minds of the era.
- Their lives are depicted in the most normal sense, by showing them as normal people with normal lives.
- Each picture has a description of it written by the person photographed them self. These descriptions talk about the journey of that particular mathematician towards math and in math.
- Overall, this book is a compelling read for anyone who wants to learn more about the lives of mathematical personalities.

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]]>The post Download Categories for the Working Mathematician Pdf Free appeared first on Mathematics pdf.

]]>The book talks mainly about category theory and it teaches the reader about how to use this theory in practical life. The first chapter talks about the natural transformations and how they are connected to the category theory. Then, the constructions on categories are talked about the reader is explained about this phenomenon. Limits are also discussed in the book and the author discussed them with regards to universals. There is also a separate chapter on the subject. Monads and Monoids both are explained in the book along with algebra and its relationship with the two.

- The book is a helpful read for anyone who wants to learn about the category theory. You can be a student or a teacher, the book will benefit you both ways.
- The book talks about functors and the adjoints with them. The fundamental idea behind this is taught in the book.
- For a course about category theory, this book can prove to be a good guide and it can teach the students about the application of the theory in their daily lives.

- Chapter I. Categories, Functors, and Natural Transformations.
- Chapter II. Constructions on Categories.
- Chapter III. Universals and Limits.
- Chapter IV. Adjoints.
- Chapter V. Limits.
- Chapter VI. Monads and Algebras.
- Chapter VII. Monoids.
- Chapter VIII. Abelian Categories.
- Chapter IX. Special Limits.
- Chapter X. Kan Extensions.
- Chapter XI. Symmetry and Braiding in Monoidal Categories
- Chapter XII. Structures in Categories.

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]]>The book has information about linear algebra. It serves as a course book for students who wish to pursue a study career in math. The major focus of the book is on teaching the students about the relationship between vectors and algebraic linear operators. The author has used many proofs to explain the different concepts. Along with that, there are also exercises in the book that help to teach the reader more about the subject. The book also has a second edition in which the proofs have been made simple. Also, new points are added and a few modifications have been made in the latest edition.

- In the first half, inner product spaces are mentioned and the students are taught about them.
- In the second half, finite dimension spectral theorem is explained and students are given insight into this field.
- The book starts with a few basics such as giving an intro to vectors, dimensions, and basis for the reader to have a little head start.

- Preface for the Instructor
- preface for the Student
- Acknowledgment
- VectorSpaces
- Complex Numbers
- Lists
- Digression on Fields
- 0Exercises
- Definition of Vector Space
- Exercises
- Subspace
- Sums of Subspaces
- Direct Sums
- Exercises
- Finite Dimensional Vector Spaces
- Span and Linear Independence Linear Combinations and Span
- Linear Independence
- Exercises
- Basis
- Dimensions
- Exercises
- Vector Space of Linear Maps
- Definition and Examples of Linear Maps
- Algebraic Operations
- Exercises

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