Maths Compilation 62 Sets 2020


Book Description

this book contains 62 sets of MATHS. these sets are from three exams conducted by SSC eg. SSC CGL TIER-1 (18 Sets) , SSC CPO SI TIER -1 (8 Sets) and SSC CHSL TIER-1 (36 Sets) there are 172 pages in this book. it is very useful for competitive exams.




STPM 2020 MM Term 1 Chapter 02 Sequences and Series - STPM Mathematics (M) Past Year Q & A


Book Description

This Past Year Q and A book is compiled for all current KK LEE students to help students to answer all the past year questions. All current KK LEE can get this book for free. Please contact KK LEE if you havent get this book. Students who are not KK Lee students can also purchase the book through Google Play. STPM 2020 Past Year Q & A Series - STPM 2020 Mathematics (M) Term 1 Chapter 2 Sequences and Series. All questions are sorted according to the sub chapters of the new STPM syllabus. Questions and sample answers with full workings are provided. Some of sample solutions included are collected from the forums online. Please be reminded that the sample solutions are not 100% following the real STPM marking scheme. 2.1 Sequences 2.2 Series 2.3 Binomial Expansions




Bridge to Abstract Mathematics


Book Description

A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns theorems that must be proved within the constraints of a logical system of axioms and definitions rather than theories that must be tested, revised, and retested. Readers will learn how to read mathematics beyond popular computational calculus courses. Moreover, readers will learn how to construct their own proofs. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises. Part V gives hints to help students find good approaches to the exercises. Part I introduces the language of mathematics and the methods of proof. The mathematical content of Parts II through IV were chosen so as not to seriously overlap the standard mathematics major. In Part II, students study sets, functions, equivalence and order relations, and cardinality. Part III concerns algebra. The goal is to prove that the real numbers form the unique, up to isomorphism, ordered field with the least upper bound. In the process, we construct the real numbers starting with the natural numbers. Students will be prepared for an abstract linear algebra or modern algebra course. Part IV studies analysis. Continuity and differentiation are considered in the context of time scales (nonempty, closed subsets of the real numbers). Students will be prepared for advanced calculus and general topology courses. There is a lot of room for instructors to skip and choose topics from among those that are presented.




Lion Hunting & Other Mathematical Pursuits: A Collection of Mathematics, Verse and Stories


Book Description

In the famous paper of 1938, “A Contribution to the Mathematical Theory of Big Game Hunting”, written by Ralph Boas along with Frank Smithies, using the pseudonym H. Pétard, Boas describes sixteen methods for hunting a lion. This marvelous collection of Boas memorabilia contains not only the original article, but also several additional articles, as late as 1985, giving many further methods. But once you are through with lion hunting, you can hunt through the remainder of the book to find numerous gems by and about this remarkable mathematician. Not only will you find his biography of Bourbaki along with a description of his feud with the French mathematician, but also you will find a lucid discussion of the mean value theorem. There are anecdotes Boas told about many famous mathematicians, along with a large collection of his mathematical verses. You will find mathematical articles like a proof of the fundamental theorem of algebra and pedagogical articles giving Boas' views on making mathematics intelligible.




Mathematical Reasoning


Book Description

Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs.Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout.For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills. Mathematical Reasoning: Writing and Proof, 2/E Theodore Sundstrom




ECAI 2023


Book Description

Artificial intelligence, or AI, now affects the day-to-day life of almost everyone on the planet, and continues to be a perennial hot topic in the news. This book presents the proceedings of ECAI 2023, the 26th European Conference on Artificial Intelligence, and of PAIS 2023, the 12th Conference on Prestigious Applications of Intelligent Systems, held from 30 September to 4 October 2023 and on 3 October 2023 respectively in Kraków, Poland. Since 1974, ECAI has been the premier venue for presenting AI research in Europe, and this annual conference has become the place for researchers and practitioners of AI to discuss the latest trends and challenges in all subfields of AI, and to demonstrate innovative applications and uses of advanced AI technology. ECAI 2023 received 1896 submissions – a record number – of which 1691 were retained for review, ultimately resulting in an acceptance rate of 23%. The 390 papers included here, cover topics including machine learning, natural language processing, multi agent systems, and vision and knowledge representation and reasoning. PAIS 2023 received 17 submissions, of which 10 were accepted after a rigorous review process. Those 10 papers cover topics ranging from fostering better working environments, behavior modeling and citizen science to large language models and neuro-symbolic applications, and are also included here. Presenting a comprehensive overview of current research and developments in AI, the book will be of interest to all those working in the field.




Sets, Logic and Maths for Computing


Book Description

This easy-to-understand textbook introduces the mathematical language and problem-solving tools essential to anyone wishing to enter the world of computer and information sciences. Specifically designed for the student who is intimidated by mathematics, the book offers a concise treatment in an engaging style. The thoroughly revised third edition features a new chapter on relevance-sensitivity in logical reasoning and many additional explanations on points that students find puzzling, including the rationale for various shorthand ways of speaking and ‘abuses of language’ that are convenient but can give rise to misunderstandings. Solutions are now also provided for all exercises. Topics and features: presents an intuitive approach, emphasizing how finite mathematics supplies a valuable language for thinking about computation; discusses sets and the mathematical objects built with them, such as relations and functions, as well as recursion and induction; introduces core topics of mathematics, including combinatorics and finite probability, along with the structures known as trees; examines propositional and quantificational logic, how to build complex proofs from simple ones, and how to ensure relevance in logic; addresses questions that students find puzzling but may have difficulty articulating, through entertaining conversations between Alice and the Mad Hatter; provides an extensive set of solved exercises throughout the text. This clearly-written textbook offers invaluable guidance to students beginning an undergraduate degree in computer science. The coverage is also suitable for courses on formal methods offered to those studying mathematics, philosophy, linguistics, economics, and political science. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.




Applications of Mathematical Modeling, Machine Learning, and Intelligent Computing for Industrial Development


Book Description

The text focuses on mathematical modeling and applications of advanced techniques of machine learning, and artificial intelligence, including artificial neural networks, evolutionary computing, data mining, and fuzzy systems to solve performance and design issues more precisely. Intelligent computing encompasses technologies, algorithms, and models in providing effective and efficient solutions to a wide range of problems, including the airport’s intelligent safety system. It will serve as an ideal reference text for senior undergraduate, graduate students, and academic researchers in fields that include industrial engineering, manufacturing engineering, computer engineering, and mathematics. The book: Discusses mathematical modeling for traffic, sustainable supply chain, vehicular Ad-Hoc networks, and internet of things networks with intelligent gateways Covers advanced machine learning, artificial intelligence, fuzzy systems, evolutionary computing, and data mining techniques for real- world problems Presents applications of mathematical models in chronic diseases such as kidney and coronary artery diseases Highlights advances in mathematical modeling, strength, and benefits of machine learning and artificial intelligence, including driving goals, applicability, algorithms, and processes involved Showcases emerging real-life topics on mathematical models, machine learning, and intelligent computing using an interdisciplinary approach The text presents emerging real-life topics on mathematical models, machine learning, and intelligent computing in a single volume. It will serve as an ideal text for senior undergraduate students, graduate students, and researchers in diverse fields, including industrial and manufacturing engineering, computer engineering, and mathematics.




Master Resource Book in Mathematics for JEE Main 2022


Book Description

1. The ‘Master Resource book’ gives complete coverage of Mathematics 2. Questions are specially prepared for AIEEE & JEE main exams 3. The book is divided into 2 parts; consisting 35 chapters from JEE Mains 4. Each chapter is accessorized with 2 Level Exercises and Exam Questions 5. Includes highly useful JEE Main Solved papers Comprehensively covering all topics of JEE Main Syllabus, here’s presenting the revised edition of “Master Resource Book for JEE Main Mathematics” that is comprised for a systematic mastery of a subject with paramount importance to a problem solving. Sequenced as per the syllabus of class 11th & 12th, this book has been divided into two parts accordingly. Each chapter is contains essential theoretical concepts along with sufficient number of solved paper examples and problems for practice. To get the insight of the difficulty level of the paper, every chapter is provided with previous years’ question of AIEEE & JEE. Single Correct Answer Types and Numerical Value Questions cover all types of questions. TOC PART I - Class 11th: Sets, Fundamentals and Relations and Functions, Sequences and Series, Complex Numbers, Quadratic Equations, Permutation and Combinations, Mathematical Inductions, Binomial Theorem and its Applications, Trigonometrical Function and Equations, Properties of Triangles, Heights and Distances, Cartesian Coordinate system, Straight Lines, Circles, Parabola, Ellipse, Hyperbola, Introduction to 3 Dimensional Geometry, Limits and Derivatives, Mathematical Reasoning, Statistics, Fundamentals of Probability, Part II: Class 12th – Matrices, Determinants, Relations and Functions, Continuity and Differentiability, Differentiation, Applications of Derivations, Indefinitive Integration, Area Bound by Curves, Differential Equations, Vector Algebra, Three Dimensional Geometry, Advanced Probability.




The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary


Book Description

This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.