The Power of the 2 x 2 Matrix


Book Description

By studying the work of hundreds of the most original and effective business minds, the authors present a common architecture that illuminates exceptional analysis and creative performance. 2 x 2 Thinking is characterized by a fundamental appreciation for the dynamic and complex nature of business. The best strategists go out of their way to tackle dilemmas rather than merely solve problems. They use opposition, creative tension, iteration and transcendence to get to the heart of issues and involve critical others in finding the best solutions. The authors demonstrate how to apply the 2 x 2 approach to a wide range of important business challenges.




No Sleep for the Sheep!


Book Description

All sheep wants is a good night's sleep!




The Topology of the 2x2 Games


Book Description

2x2 games provide the very basis of game theory and this book constitutes something approaching a 'periodic table' of the most common games - the prisoner's dilemma, coordination games, chicken and the battle of the sexes among them.




Advanced Calculus (Revised Edition)


Book Description

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.




Principia Mathematica


Book Description




Primes of the Form X2 + Ny2


Book Description

Modern number theory began with the work of Euler and Gauss to understand and extend the many unsolved questions left behind by Fermat. In the course of their investigations, they uncovered new phenomena in need of explanation, which over time led to the discovery of field theory and its intimate connection with complex multiplication. While most texts concentrate on only the elementary or advanced aspects of this story, Primes of the Form x2 + ny2 begins with Fermat and explains how his work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the magnificent formulas of complex multiplication. The central theme of the book is the story of which primes p can be expressed in the form x2 + ny2. An incomplete answer is given using quadratic forms. A better though abstract answer comes from class field theory, and finally, a concrete answer is provided by complex multiplication. Along the way, the reader is introduced to some wonderful number theory. Numerous exercises and examples are included. The book is written to be enjoyed by readers with modest mathematical backgrounds. Chapter 1 uses basic number theory and abstract algebra, while chapters 2 and 3 require Galois theory and complex analysis, respectively.




NTA CUET (PG)-2024 "Chemistry" Comprehensive Exam Guide | Including Latest Solved Paper & Mock Test


Book Description

NTA CUET (PG)-2024 CHEMISTRY COMPREHENSIVE GUIDE We present the ‘NTA CUET (PG)-2024 CHEMISTRY COMPREHENSIVE GUIDE’. The book suffices the need of the aspirants in terms of: Latest CUET Solved Paper 2023 Latest Examination Scheme and Syllabus Concise yet In-depth Chapters Readability of the Content Concise yet In-depth Chapters Ample figures and diagrams Solved MCQs Mock Test with Every Module Moreover, the book is supplemented with a Joint Admission Test for Masters (JAM) Mock Test (CHEMISTRY). The book is divided into 3 Parts consisting chapters in detail: PART I : Inorganic Chemistry Module I comprises Periodic Table, Chemical Bonding and Shapes of Compounds, Main Group Elements, Transmission Elements; Module II comprises Bioinorganic Chemsitry, Instrumental Menthods of Analysis, Analytical Chemistry, ; PART II : Organic Chemistry Module I comprises Basic Concepts of Organic Chemistry and strerochemistry, Organice Reaction Mechanism amd Synthetic Application; Module II comprises Qualitative Organic Analysis, Natural Products Chemistry, Aromatic and Heterocyclic Chemistry; PART III : Physical Chemistry Module I comprises Basic Mathematical Concepts, Atomic and Molecular Structure, Theory of Gases, Solid State, Chemical Thermodynamics; Module II comprises Chemical and Phase Equilibria, Electrochemistry, Chemical Kinetics, Adsorption, Spectroscopy. This book serves to be a suitable Study Guide for the aspirants, with focus on Qualitative Preparation and Systematic understanding of the Syllabus and Examination Level. With provision for self-assessment in Mock Tests, this book stands beneficial in imprinting concepts in the mind.







CDS 16 Years Mathematics Topic wise Solved Papers (2007 - 2022) 3rd Edition


Book Description

CDS & CDS OTA 16 Years Mathematics Topic-wise Solved Papers (2007 Feb - 2022 April)' consists of last 16 years (both Feb and November papers) from 2007 Paper 1 – 2022 Paper 1 solved papers of English distributed into 25 topics. # In all there are 31 Question papers from 2007 to 2022 - I which have been divided into the above discussed 25 topics. # Practicing these questions, aspirants will come to know about the pattern and toughness of the questions asked in the examination. # The book contains 3600+ MILESTONE MCQ’s from the above 31 Question papers. # The strength of the book lies in the originality of its question papers and Errorless Solutions. # The solution of each and every question is provided in detail (step-by-step) so as to provide 100% concept clarity to the students.




Chapterwise Topicwise Solved Papers Mathematics for Engineering Entrances 2020


Book Description

For cracking any competitive exam one need to have clear guidance, right kind of study material and thorough practice. When the preparation is done for the exams like JEE Main and NEET one need to have clear concept about each and every topic and understanding of the examination pattern are most important things which can be done by using the good collection of Previous Years' Solved Papers. Chapterwise Topicwise Solved Papers MATHEMATICS for Engineering Entrances is a master collection of exams questions to practice for JEE Main & Advanced 2020, which have been consciously revised as per the latest pattern of exam. It carries 15 Years of Solved Papers [2019-2005] in both Chapterwise and topicwise manner by giving the full coverage to syllabus. This book is divided into parts based on Class XI and XII NCERT syllabus covering each topic. This book gives the complete coverage of Questions asked in JEE Main &Advanced, AIEEE, IIT JEE & BITSAT, UPSEE, MANIPAL, EAMCET, WB JEE, etc., Thorough practice done from this book will the candidates to move a step towards their success. TABLE OF CONTENT Sets, Relations and Functions, Complex Numbers, Equations and Inequalities, Sequences and Series, Permutations and Combinations, Binomial Theorem and Mathematical Induction, Matrices and Determinants, Trigonometric Identities and Equations, Inverse Trigonometric Functions, Properties of Triangle, Heights and Distances, Rectangular Cartesian Coordinates, Straight Line and Pair of Straight Lines, Circle and System of Circles, Conic Section, Limits, Continuity and Differentiability, Differentiation, Applications of Derivatives, Indefinite Integrals, Definite Integrals, Applications of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Statistics, Probability, Mathematical Logic and Boolean Algebra, Linear Programming, Statics and Dynamics, Miscellaneous, Questions Asked in JEE Main 2015, Solved Papers 2016 (JEE Main, BITSAT, AP EAMCET, TS EAMCET, GGSIPU), Solved Papers 2017 (JEE Main & Advanced, BITSAT, VIT & WBJEE), Solved Papers 2018 (JEE Main & Advanced, BITSAT & WBJEE), Solved Papers 2019 (JEE Main & Advanced, BITSAT & WBJEE).