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Mathematical Tapas

Mathematical Tapas PDF Author: Jean-Baptiste Hiriart-Urruty
Publisher: Springer
ISBN: 3319421867
Category : Mathematics
Languages : en
Pages : 169

Book Description
This book contains a collection of exercises (called “tapas”) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization. Most of the problems presented here are non-standard and some require broad knowledge of different mathematical subjects in order to be solved. The author provides some hints and (partial) answers and also puts these carefully chosen exercises into context, presents information on their origins, and comments on possible extensions. With stars marking the levels of difficulty, these tapas show or prove something interesting, challenge the reader to solve and learn, and may have surprising results. This first volume of Mathematical Tapas will appeal to mathematicians, motivated undergraduate students from science-based areas, and those generally interested in mathematics.

Mathematical Tapas

Mathematical Tapas PDF Author: Jean-Baptiste Hiriart-Urruty
Publisher: Springer
ISBN: 3319421867
Category : Mathematics
Languages : en
Pages : 169

Book Description
This book contains a collection of exercises (called “tapas”) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization. Most of the problems presented here are non-standard and some require broad knowledge of different mathematical subjects in order to be solved. The author provides some hints and (partial) answers and also puts these carefully chosen exercises into context, presents information on their origins, and comments on possible extensions. With stars marking the levels of difficulty, these tapas show or prove something interesting, challenge the reader to solve and learn, and may have surprising results. This first volume of Mathematical Tapas will appeal to mathematicians, motivated undergraduate students from science-based areas, and those generally interested in mathematics.

Mathematical Tapas

Mathematical Tapas PDF Author: Jean-Baptiste Hiriart-Urruty
Publisher: Springer
ISBN: 3319686313
Category : Mathematics
Languages : en
Pages : 266

Book Description
This textbook presents a collection of interesting and sometimes original exercises for motivated students in mathematics. Written in the same spirit as Volume 1, this second volume of Mathematical Tapas includes carefully selected problems at the intersection between undergraduate and graduate level. Hints, answers and (sometimes) comments are presented alongside the 222 “tapas” as well as 8 conjectures or open problems. Topics covered include metric, normed, Banach, inner-product and Hilbert spaces; differential calculus; integration; matrices; convexity; and optimization or variational problems. Suitable for advanced undergraduate and graduate students in mathematics, this book aims to sharpen the reader’s mathematical problem solving abilities.

Mathematical Tapas

Mathematical Tapas PDF Author: Jean-Baptiste Hiriart-Urruty
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


Tapas in Experimental Mathematics

Tapas in Experimental Mathematics PDF Author: Tewodros Amdeberhan
Publisher: American Mathematical Soc.
ISBN: 0821843176
Category : Mathematics
Languages : en
Pages : 304

Book Description
Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.

Nonlinear Optimization

Nonlinear Optimization PDF Author: Francisco J. Aragón
Publisher: Springer
ISBN: 3030111849
Category : Mathematics
Languages : en
Pages : 350

Book Description
This textbook on nonlinear optimization focuses on model building, real world problems, and applications of optimization models to natural and social sciences. Organized into two parts, this book may be used as a primary text for courses on convex optimization and non-convex optimization. Definitions, proofs, and numerical methods are well illustrated and all chapters contain compelling exercises. The exercises emphasize fundamental theoretical results on optimality and duality theorems, numerical methods with or without constraints, and derivative-free optimization. Selected solutions are given. Applications to theoretical results and numerical methods are highlighted to help students comprehend methods and techniques.

Some Tapas of Computer Algebra

Some Tapas of Computer Algebra PDF Author: Arjeh M. Cohen
Publisher: Springer Science & Business Media
ISBN: 3662038919
Category : Computers
Languages : en
Pages : 365

Book Description
This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.

Vedic Mathematics

Vedic Mathematics PDF Author: Swami Bharati Krishna Tirtha
Publisher: Motilal Banarsidass Publ.
ISBN: 9788120801639
Category : Hindu mathematics
Languages : en
Pages : 412

Book Description
This epoch-making and monumental work on Vedic Mathematics unfolds a new method of approach. It relates to the truth of numbers and magnitudes equally applicable to all sciences and arts. The book brings to light how great and true knowledge is born of intuition, quite different from modern Western method. The ancient Indian method and its secret techniques are examined and shown to be capable of solving various problems of mathematics. The universe we live in has a basic mathematical structure obeying the rules of mathematical measures and relations. All the subjects in mathematics-Multiplication, Division, Factorization, Equations, Calculus, Analytical Conics, etc.-are dealt with in forty chapters, vividly working out all problems, in the easiest ever method discovered so far. The volume, more a 'magic', is the result of intuitional visualization of fundamental mathematical truths born after eight years of highly concentrated endeavour of Jagadguru Sri Bharati Krsna Tirtha.

Experimental and Computational Mathematics

Experimental and Computational Mathematics PDF Author: Jonathan M. Borwein
Publisher: PSIpress
ISBN: 193563805X
Category : Mathematics
Languages : en
Pages : 309

Book Description
A quiet revolution in mathematical computing and scientific visualization took place in the latter half of the 20th century. These developments have dramatically enhanced modes of mathematical insight and opportunities for "exploratory" computational experimentation. This volume collects the experimental and computational contributions of Jonathan and Peter Borwein over the past quarter century.

Mathematics, Substance and Surmise

Mathematics, Substance and Surmise PDF Author: Ernest Davis
Publisher: Springer
ISBN: 331921473X
Category : Mathematics
Languages : en
Pages : 374

Book Description
The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay O’Halloran Alison Pease Steven Piantadosi Lance Rips Micah T. Ross Nathalie Sinclair John Stillwell Hellen Verran

Continental Capitals: Your Handbook to European Cities

Continental Capitals: Your Handbook to European Cities PDF Author: N.B. Singh
Publisher: N.B. Singh
ISBN:
Category : Travel
Languages : en
Pages : 568

Book Description
"Embark on a captivating journey through Europe with 'Continental Capitals: Your Handbook to European Cities.' This comprehensive guide invites you to explore the rich tapestry of diverse cultures, histories, and landmarks across the continent. From the romantic streets of Paris to the historic charm of Prague, each city is unveiled with vivid descriptions, practical tips, and fascinating insights. Whether you're a seasoned traveler or a first-time explorer, this handbook is your passport to unlocking the secrets and wonders of Europe's most iconic capitals, providing an immersive and enriching experience for every adventurer."