MATLAB Numerical Calculations by Cesar Perez Lopez

Introduction MATLAB is the tool of the modern day mathematician or engineer. Te incredible deep functionality of MATLAB makes what would have taken hours 40 years ago, often less than a minute with MATLAB built in functions. MATLAB enables you to explore multiple approaches and reach a solution faster often more accurately than with other tools or traditional programming languages, such as C/C++ or Java. More importantly, it has changed the way we learn and made getting solutions immensely simpler. So, you can now focus on the application, instead of…

Comprehensive Trigonometry with Challenging Problems and Solutions JEE Main and Advanced by Rejaul Makshud

Comprehensive Trigonometry with Challenging Problems and Solutions JEE Main and Advanced Contents Preface v 1. The Ratios and Identities 1-99 1.1 Introduction 1 1.2 Application of Trigonometry 1 1.3 Trigonometrical Functions 1 1.4 Measurement of Angles 2 1.5 Some Solved Examples 2 Exercise 1 4 1.6 Trigonometrical Ratios 5 1.7 Limits of the Values of Trigonometrical Functions 5 1.8 Some Solved Examples 5 Exercise 2 10 1.9 Measurement of the Angles of Different T-ratios 11 1.10 Some Solved Examples 13 Exercise 3 15 Exercise 4 17 1.11 T-ratios of Compound…

Download Free Algebras, Rings and Modules Non-commutative Algebras and Rings Author Michiel Hazewinkel and Nadiya Gubareni

CONTENTS Preface v 1. Preliminaries 1 1.1 Basic Concepts Concerning Rings and Modules 1 1.2 Categories and Functors 10 1.3 Tensor Product of Modules 15 1.4 Direct and Inverse Limits 17 1.5 Projective, Injective, and Flat Modules 19 1.6 The Functor Tor 23 1.7 The Functor Ext 24 1.8 Hereditary and Semihereditary Rings 26 1.9 Semiperfect and Perfect Rings 28 1.10 Serial and Semidistributive Rings 31 1.11 Classical Rings of Fractions 34 1.12 Quivers of Algebras and Rings 35 2. Basic General Constructions of Groups and Rings 37 2.1 Direct…