History of mathematics Books

Book SynopsisSofia Kovalevskaya was a brilliant and determined young Russian woman of the 19th century who wanted to become a mathematician and who succeeded, in often difficult circumstances, in becoming arguably the first woman to have a professional university career in the way we understand it today.Trade ReviewFrom the book reviews:“For those who have already read one or two of the numerous biographies, Audin’s portrayal can serve as a valuable addition and a stimulus to rethink opinions already formed. Moreover, for scholars conducting research on Kovalevskaya, the multifaceted potpourri presented in this book will raise a lot of interesting questions and perspectives from which to approach their subject in a different way.” (Eva Kaufholz-Soldat, Historia Mathematica, Vol. 40 (4), 2013)“The book under review is devoted to Sofia Kovalevskaya. She was the first woman with a university professional activity. This book gives a particular vision of her. … The book provides a picture of Sofia Kovalevskaya that stresses the unity of different aspects of her personality. It has been published in a very nice way, it contains a lot of illustrations and photos. It will be an interesting source of information about Kovalevskaya, even more interesting because it contains the author’s personal view of her.” (Roman Murawski, Zentralblatt MATH, Vol. 1234, 2012)Table of ContentsSofya’s chronology.- Sofya’s names.- Stories.- The thesis of Sofya, the Cauchy–Kovalevskaya theorem.- The Solid.- A letter to Mittag-Leffler.- Stockholm.- A letter to Vollmar.- The Bordin prize and Sofya’s reputation.- The women of Men of mathematics.- I remember Sofya, by George, Gösta, Julia and all the rest.- I too remember Sofya.- Bibliography.

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Book SynopsisCommentary.- Theory of Finite and Infinite Graphs.- Dénes König: A Biographical Sketch.Table of ContentsCommentary.- Theory of Finite and Infinite Graphs.- Dénes König: A Biographical Sketch.

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Book SynopsisTest Prep Books'' GED Math Study Guide 2023-2024: 3 Practice Exams and GED Test Prep Book [6th Edition]Taking the GED Math test? Want to get a good score?Written by Test Prep Books, this comprehensive study guide includes: Quick Overview Test-Taking Strategies Introduction Math Reference Sheet Mathematical Reasoning Practice Questions Detailed Answer Explanations Disclaimer: GED is a registered trademark of the American Council on Education (ACE) and administered exclusively by GED Testing Service LLC under license. This material is not endorsed or approved by ACE or GED Testing Service.Studying is hard. We know. We want to help. You can ace your test.Each part of the test has a full review. This study guide covers everything likely to be on the test.Lots of GED Math practice test questions are included. Miss one and want to know why? There are detailed answer explanations to help you avoid missing the same question a second time.Are you a bad test taker?Use your time wisely with the latest test-taking strategies. Don''t settle for just learning what is on the test. Learn how to be successful with that knowledge.Test Prep Books has drilled down the top test-taking tips. This will help you save time and avoid making common mistakes on test day.Get your GED Math study guide. It includes review material, practice test questions, and test-taking strategies.It has everything you need for success.

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Book SynopsisA Mathematician''s Apology is the famous essay by British mathematician G. H. Hardy. It concerns the aesthetics of mathematics with some personal content, and gives the layman an insight into the mind of a working mathematician. Indeed, this book is often considered one of the best insights into the mind of a working mathematician written for the layman.?A Mathematician''s Apology is the famous essay by British mathematician G. H. Hardy. It concerns the aesthetics of mathematics with some personal content, and gives the layman an insight into the mind of a working mathematician. Indeed, this book is often considered one of the best insights into the mind of a working mathematician written for the layman.

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Book SynopsisThis book presents, for the first time, the unpublished manuscripts of Lars Hörmander, written between 1951 and 2007. Hörmander himself organised the manuscripts and also wrote the notes explaining their origins, presenting the material in the form he fully intended it to be published in. As his daughter, Sofia Broström, mentions in the Foreword, towards the end of his life, Hörmander "carefully went through his unpublished manuscripts, checking and revising each of them with his very critical eye, deciding what should be kept for posterity and what should be thrown out". He also compiled the complete bibliography of all his published mathematical works that is included at the end of the present book. Of both historical and mathematical value, the contents of this book will undoubtedly inspire mathematicians of different horizons.Table of ContentsForeword.- Origin of the manuscripts.- 25 Unpublished Manuscripts of L Hörmander.- Short Autobiography.- Looking forward from ICM 1962.- Complete Mathematical Bibliography of Lars Hörmander.- Published Articles.- Published Books.- Lecture Notes.

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Book SynopsisThe book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and compare Leibniz’s results in these fields with 19th- and 20th-Century conceptions of them. All of them have special care in framing Leibniz’s work in historical context, and sometimes offer wider historical perspectives that go much beyond Leibniz’s researches. A special emphasis is given to effective mathematical practice rather than purely epistemological thought. The book is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.Trade Review“The volume should be of value to scholars of Leibniz with interests in the ‘exact sciences’ and the formal dimensions of his thinking, as well as to historians and philosophers concerned with understanding how Leibniz’s thinking anticipates later approaches. … the volume is a valuable contribution to our understanding of Leibniz’s projects in the exact sciences.” (Christopher P. Noble, Metascience, August 20, 2020)Table of ContentsChapter 1. Leibniz on the Logic of Conceptual Containment and Coincidence (Marko Malink and Anubav Vasudevan).- Chapter 2. Leibniz’s Mereology (Massimo Mugnai).- Chapter 3. Leibniz in Cantor’s Paradise: A Dialogue on the Actual Infinite (Richard T.W. Arthur).- Chapter 4. Leibniz and the Continuity of Space (Vincenzo De Risi).- Chapter 5. On the Plurality of Spaces in Leibniz (Valérie Debuiche and David Rabouin).- Chapter 6. One String Attached: Geometrical Exactness in Leibniz’s Parisian Manuscripts (Davide Crippa).- Chapter 7. Leibniz and the Calculus of Variations (Jürgen Jost).- Chapter 8. Teleology and Realism in Leibniz’s Philosophy of Science (Nabeel Hamid).

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Book SynopsisThis book focuses on the ancient Near East, early imperial China, South-East Asia, and medieval Europe, shedding light on mathematical knowledge and practices documented by sources relating to the administrative and economic activities of officials, merchants and other actors. It compares these to mathematical texts produced in related school contexts or reflecting the pursuit of mathematics for its own sake to reveal the diversity of mathematical practices in each of these geographical areas of the ancient world. Based on case studies from various periods and political, economic and social contexts, it explores how, in each part of the world discussed, it is possible to identify and describe the different cultures of quantification and computation as well as their points of contact. The thirteen chapters draw on a wide variety of texts from ancient Near East, China, South-East Asia and medieval Europe, which are analyzed by researchers from various fields, including mathematics, history, philology, archaeology and economics. The book will appeal to historians of science, economists and institutional historians of the ancient and medieval world, and also to Assyriologists, Indologists, Sinologists and experts on medieval Europe.Trade Review“Mathematics, Administrative and Economic Activities in Ancient Worlds fills a longstanding need to situate mathematics into its context of administration in which it originated and developed in various societies. … These publications attest to the lively and active community of historians of science working on ancient sources and the potential to learn about the origin and early development of sciences … within societies which–judging by recent developments–has become a point of concern in many parts of the world.” (Annette Imhausen, NTM, Vol. 30 (3), September, 2022)“As an economist, I thoroughly enjoyed and was impressed at the many details and analysis of those examples of these activities in the varied places during these early time periods. … The is book is very comprehensive in its discussion. Math formulas explaining different ways of computing interest and many other types of financial economic analysis are given. Each chapter has an ample number of references.” (Paul Gentle, HEI History of Economic Ideas, Vol. 29 (2), 2021)Table of ContentsChapter ​1. Mathematics, Administrative and Economic Activities in the Ancient Worlds: An introduction (Cécile Michel and Karine Chemla)Part 1: Mathematical Writings, Regulations, Laws and NormsChapter 2. A Comparative Study of Prices and Wages in Royal Inscriptions, Administrative Texts and Mathematical Texts in the Old Babylonian Kingdom of Larsa (Cécile Michel, with contributions by Robert Middeke-Conlin and Christine Proust)Chapter 3. Computation in the Arthaśāstra (Mark McClish)4. Official Salaries and State Taxes as Seen in Qin-Han Manuscripts, with a Focus on Mathematical Texts (Peng Hao)Part 2: Quantifying Work, Quantifying Volume and CapacityChapter 5. Insights into the Administration of Ancient Irrigation Systems in Third Millennium BCE Mesopotamia (Stephanie Rost)Chapter 6. Mathematical Computations in the Management of Public Construction Work in Mesopotamia (End of the Third and Beginning of the Second Millennium BCE) (Martin Sauvage)Chapter 7. The use of volume in the measurement of grain in early imperial China (Karine Chemla and Ma Biao)Part III: Quantifying Lands and SurfacesChapter 8. The Measurement of Fields During the Pre-Sargonic Period (Camille Lecompte)Chapter 9. Early-Dynastic Tables from Southern Mesopotamia, or the Multiple Facets of the Quantification of Surfaces (Christine Proust)Part IV: Prices, Rates, Loans and InterestsChapter 10. Computation Practices of the Assyrian Merchants during the Nineteenth Century BCE (Cécile Michel)Chapter 11. Connecting a Disconnect. Can Evidence for a Scribal Education be Found in a Professional Setting During the Old Babylonian Period? (Robert Middeke-Conlin)Chapter 12. Loans and Interest in Sanskrit Legal and Mathematical Texts (Sreeramula Rajeswara Sarma and Takanori Kusuba)Chapter 13. Computational Practices Around Coins and Coinage: John of Murs’ Quadripartitum Nnumerorum and French Money Changers’ Books (Marc Bompaire and Matthieu Husson)

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Book SynopsisPreface.- How is Mathematics Put Together?.- How Does Mathematics Work?.- Mathematics and Civilization.- Mathematics in Nature and Art.- Epilogue.- Reference List of Illustrations.- Bibliography.- Index.

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Book Synopsis- 1. The Greek Legacy.- 2. Perspective in the Renaissance.- 3. New ways of looking at conics.- 4. Desargues, the dawn of projective geometry.- 5. Pascal's geometrical achievements.- 6. An interlude a century and a half long.- 7. Towards a new geometry.- 8. Poncelet, the projective properties of figures.- 9. The algebraic way to projective geometry.- 10. The synthetic route: the contributions of Steiner and Chasles.- 11. Von Staudt's pure synthetism.- 12. Projective geometry 1870-1930 and beyond.

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Book SynopsisPreface.- Foreword.- Life and Teaching of Pythagoras.- Numbers and Number Mysticism.- Mathematics, Mathematicians, and Proofs.- Prime Numbers.- Pythagorean Theorem.- Pythagorean Triples.- Pythagorean Figurative Numbers.- Pythagorean Irrationality of Numbers.- Name Index.- Subject Index.

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