[Book] Complex Variables by Schaum's Outlines

The theory of function of a complex variable also called for brevity complex variables or complex analysis, is one of the beautiful as well as useful branches of mathematics. Although originating in an atmosphere of mystery, suspicion and distrust, as evidenced by the terms imaginary and complex present in the literature, it was finally placed on a sound foundation in the 19th century through the efforts of the Cauchy, Riemann, Weierstrass, Gauss and other great mathematicians. This book is designed for use as a supplement to all current standards texts or as a textbook for a formal course in complex variable theory and applications. It should also be of considerable value t;o those taking course in mathematics, many other fields and Engineering.  Moreover, each chapter of this book starts with a clear statement of pertinent definitions, principles and theorems together with illustrative and other descriptive material. This is followed by graded sets of solved and supplementary problems. 

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Book Name: Complex Variables
Author: Murray R Spiegel, Seymour Lipschutz, John J Schiller, Dennis Spellman 
Page Number: 385
File Format: PDF
File Size: 03 MB

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[Book] Fundamentals_of_electric_circuits_4thed by Charles K. Alexander and Matthew N.O. Sadiku

Compared to other standard circuit textbooks which are available out there, this one has done an excellent job. It is written in a readable style that is so rare among textbooks in this field. The flow from topic to topic is straightforwardly continuous and the reading can even be very enjoyable (especially the introduction to each chapter). I very much wish there were more circuit textbooks written like this one, so that you can read and learn by yourself. But very unfortunately, most of them are extremely unreadable and so un-transparent in their presentation of fundamental concepts. For this reason, I think, Alexander's book deserves even more credit.t explains the concepts very clearly and maybe used for signals too, when studying Fourier and Laplace transforms. The authors do a superb job and make challenging concepts sound easy for the student. Extremely organized and well prepared book.

About Book:
Title: Fundamentals_of_electric_circuits_4thed
Author : Charles K. Alexander and Matthew N.O. Sadiku
Edition: 4th
Total Page: 528
Size : 15 MB

Content:

• DC Circuits Part 

1. Basic Concepts
2. Basic Laws
3. Methods of Analysis
4. Circuits Theorem
5. Operational Amplifiers
6. Capacitors and Inductors
7. First-Order Circuits
8. Second-Order Circuits

• Ac Circuits Part 

9. Sinusoids and Phasors
10. Sinusoidals Steady-Stats Analysis
11. AC Power Analysis
12. Three Phase Circuits
13. Magnetically Coupled Circuits
14. Frequency Response

• Advance Circuit Analysis 

15. Introduction To the Laplace Transformation
16. Applications of the Laplace Transformation
17. The Fourier Series
18. Fourier Transform
19. Two-Port Networks

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[Book] Elementary Differential Equations and Boundary Value Problems by William E. Boyce, Richard C. DiPrima

This book is based on ordinary and Partial differential equations and boundary value problems. This book is primarily designed for undergraduate students of mathematics, science and engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for reading the book is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.  With respect to content, we provide this flexibility by making sure that, so far as possible, individual chapters are independent of each other. Thus, after the basic parts of the first three chapters are completed (roughly Sections 1.1 through 1.3, 2.1 through 2.5, and 3.1 through 3.5), the selection of additional topics, and the order and depth in which they are covered, is at the discretion of the instructor. Chapters 4 through 11 are essentially independent of each other, except that Chapter 7 should precede Chapter 9 and that Chapter 10 should precede Chapter 11. This means that there are multiple pathways through the book and many different combinations have been used effectively with earlier editions.

About Book:

Title: Elementary Differential Equations and Boundary Value Problems 

Author : by William E. Boyce, Richard C. DiPrima
Edition: 9th 
Total Page: 738
Size : 4 MB

Content: 

• Introduction

• First Order Differential Equations

• Second Order Linear Equations

• Higher Order Linear Equations

• Series Solutions of Second Order Linear Equations

• The Laplace Transform

• Systems of First Order Linear Equations
• Numerical Methods
• Nonlinear Differential Equations and Stability
• Partial Differential Equations and Fourier Series
• Boundary Value Problems and Sturm–Liouville Theory
• Index

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[Book] Fourier and Laplace Transforms By R.j. Beerends, H.G. ter Morsche, J.C. Van den Berg and E.M. Van de Vrie

Fourier and Laplace transforms are examples of mathematical operations which can play an important role in the analysis of mathematical models for problems originating from a broad spectrum of fields. These transforms are certainly not new, but the strong development of digital computers has given a new impulse to both the applications and the theory. The material in this book is subdivided into parts. Each part consists of a number of coherent chapters covering a specific part of the field of Fourier and Laplace transforms. Sections contain such items as definitions, theorems, examples, and so on. These are clearly marked in the left margin, often with a number attached to them. For almost all theorems proofs are given following the heading Proof. The end of a proof is indicated by a right-aligned black square: . In some cases it may be wise to skip the proof of a theorem in a first reading, in order not to lose the main line of argument. The proof can be studied later on. Examples are sometimes included in the running text, but often they are presented separately. In the latter case they are again clearly marked in the left margin (with possibly a number, if this is needed as a reference later on). The end of an example is indicated by a right-aligned black triangle: . Mathematical formulas that are displayed on a separate line may or may not be numbered. Only formulas referred to later on in the text have a number (right-aligned and in brackets).

About Book:

Title: Fourier and Laplace Transforms

Author : R.j. Beerends, H.G. ter Morsche, J.C. Van den Berg and E.M. Van de Vrie 
Published: 2003

Total Pages: 459

Size : 02 MB

Content: 

• Applications and Foundations

• Fourier Series 

• Laplace Transformers 

• Discrete Transforms 

• Literature 

• Tables of Transformers and Properties 

• Index 

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[Book] A First Course in Differential Equations with Modeling Applications By Dennis G. Zill

This book is mainly focus on Differential Equations and Modeling application. The authors of this book tried to write this book easily for better understand of the students. But Beginner level students have been facing some problems to solve this math because most of the section are formed with Partial Differential, First order Differential Equations, Second Order or Higher Order Differential Equations and Boundary Equations problems. So that If you have don't have any previous idea about differential method you are not able to understand the math of this book and if you don't able to solve these differential problem from these book , you can't learn the modeling application which are solved using differential method. Moreover,  In this book, Authors do not leave much space for explanations and examples, the explanations this book does provide are extremely difficult to follow, and the examples given are mostly skipping over a majority of the steps involved in solving the problems. For this reason, Beginners level students needs a guide or decent teacher to helps you solve this math. On top of everything, You must have interest in learning. If you want to learn something than you have to practicing the math more and more time. More practicing makes a student perfect. 

About Book:

Title: A First Course in Differential Equations with Modeling Applications

Author : Dennis G. Zill

Last Published: 2013

Edition: 10th

Total Pages: 489

Size : 12 MB

Content: 

• Introduction To Differential Equations 

• First-Order Differential Equations

• Modeling With First-Order Differential Equations

• High-Order Differential Equations

• Modeling with Higher-Order Differential Equations

• Series Solutions of Linear Equations 

• The Laplace Transform

•  System of Linear First-Order Differential Equations

• Numerical Solutions of Ordinary Differential Equations

• Appendixes 

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[Book] Contemporary Linear Algebra by Howard Anton, Robert C. Busby

From one of the premier authors in higher education comes a new linear algebra textbook that fosters mathematical thinking, problem-solving abilities, and exposure to real-world applications. Without sacrificing mathematical precision, Anton and Busby focus on the aspects of linear algebra that are most likely to have practical value to the student while not compromising the intrinsic mathematical form of the subject. Throughout Contemporary Linear Algebra, students are encouraged to look at ideas and problems from multiple points of view.

Moreover, Who have basic knowledge about matrix problems, they can easily understand and able to solve the all the problems from these book. Students must be careful to do all the sections problems from the book because some section from these book will be included in your next courses. So, Do not try to memorize the math, trying to understand the problems then solve it and one day you will love it to solve the problems. From now start practicing math and stay away from stress. 

About Book:

Title: Contemporary Linear Algebra
Author : Howard Anton, Robert C & Busby
Published: 02 September 2002
Total Pages: 656
Size : 267 MB

Content :

Vectors
System of Linear Equations
Matrices and Matrix Algebra
Determinants
Matrix Models
Linear Transformations
Dimension and Structure
Diagonalization
General Vector Spaces
How to Read Theorems
Complex Numbers
Answer to Odd-Numbered Exercises
Photo Credits
Index

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[Book] Elementary Calculus by Howard Anton

This tenth edition of Calculus maintains those aspects of previous editions that have led to the series success-we continue to strive for student comprehension without sacrificing mathematical accuracy, and the exercise sets are carefully constructed avoid unhappy surprise that can derail a calculus class.

All of the changes to the tenth edition were carefully reviewed by outstanding teachers comprised of both users and nonusers of the previous edition. The charge of this committee was to ensure that all changes did not alter those aspects of the text that attracted users of the ninth edition and at the same time provide freshness to the new edition that would attract new users and This book will helps undergraduate students who are in Preliminary level. Moreover, Students must be sincere at there study because without practicing math you can not do well in this subject. Elementary calculus is much easier than its next level subjects. So, If you able to do well in this subject so that you can understand its next level math subjects. So, Keep practicing with giving more concentration.

New to this Edition:

➤Exercise sets have been modified to correspond more closely to questions in WileyPlus. In addition, more     wileyPLUS questions now correspond to specific exercises in the text.

➤New applied exercise have been added to the book and existing applied exercise have been updated.

➤Where appropriate , additional skill/practice exercise were added. 

Book Description : 

Book Name: Elementary Calculus
Author : Howard Anton, IRL Bivens & Stephen Davis
Edition: 10th
Total Page: About 1200

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Contents:

Before Calculus

Limits and Continuity

The Derivative

Topics in Differentiation

The Derivative in Graphing and Applications

Integration

Applications of the definite integral in geometry, Science, and Engineering

Principles of Integral Evaluation    

Mathematical Modeling with Differential Equations

Infinite Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Appendices

Web Appendices

Web Projects: Expanding the Calculus Horizon (Online only)  

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