Classic Texts in the Sciences – serie

Murray Gell-Mann, Physics Nobel Prize Laureate in 1969  is known for his theoretical work on elementary particle physics and the introduction of quarks and together with H. Fritzsch the “Quantum Chromodynamics”.Based on four sections the Editor gives an overview on the work of Gell-Mann and his contributions to various aspects of the physics, related to quarks. His most important and influential papers were selected and reprinted so that the reader easily can check the original work of Gell-Mann.

Max Wertheimer (1880-1943), a pioneer of 20th-century psychology, had a major influence on the development of cognitive psychology, especially the psychology of perception and of productive thinking. His work "Productive Thinking" (1945), written in New York, is regarded as a milestone in creativity research. Consisting of many examples of creative thought processes - from geometric tasks to socio-psychologically relevant conflict resolutions to the development of Einstein's theory of relativity - the book leads the reader through a multi-faceted body of thought in the psychology of thinking.Only a few texts in psychology have remained significant even after a period of three quarters of a century - Max Wertheimer's Productive Thinking is such an exception. This book, which also presents an exposition of Gestalt psychology, highlights the "productive" (insightful) versus automatic (unreflected) thought processes for many areas of life. In addition to examples from school teaching, the chapter on the emergence of Albert Einstein's theory of relativity is of lasting interest to today's generation of psychologists, pedagogues, brain researchers, neuroscientists and philosophers. Wertheimer had the unique opportunity to analyze Einstein's thinking in direct conversation. An introductory commentary by Viktor Sarris for this new edition of the first publication of Productive Thinking in 1945 offers a detailed account of the genesis and reception of Wertheimer's work.

Max Wertheimer (1880-1943), a pioneer of 20th-century psychology, had a major influence on the development of cognitive psychology, especially the psychology of perception and of productive thinking. His work "Productive Thinking" (1945), written in New York, is regarded as a milestone in creativity research. Consisting of many examples of creative thought processes - from geometric tasks to socio-psychologically relevant conflict resolutions to the development of Einstein's theory of relativity - the book leads the reader through a multi-faceted body of thought in the psychology of thinking.Only a few texts in psychology have remained significant even after a period of three quarters of a century - Max Wertheimer's Productive Thinking is such an exception. This book, which also presents an exposition of Gestalt psychology, highlights the "productive" (insightful) versus automatic (unreflected) thought processes for many areas of life. In addition to examples from school teaching, the chapter on the emergence of Albert Einstein's theory of relativity is of lasting interest to today's generation of psychologists, pedagogues, brain researchers, neuroscientists and philosophers. Wertheimer had the unique opportunity to analyze Einstein's thinking in direct conversation. An introductory commentary by Viktor Sarris for this new edition of the first publication of Productive Thinking in 1945 offers a detailed account of the genesis and reception of Wertheimer's work.

The work published by Einstein, Podolsky and Rosen (EPR) in 1935 is a classic in modern physics. It discusses, for the first time, the central feature of the quantum theory: entanglement. In general, systems are intertwined with each other in nature; that is, they have only one common, non-divisible state. This fact is responsible for all the oddities commonly associated with quantum theory, including the famous thought experiments with Schrödinger’s cat and Wigner’s friend. The entanglement of quantum mechanics plays a central role in experiments with atoms and photons (Nobel Prize 2012 for Haroche and Wineland) and the planned construction of quantum computers. This book presents EPR’s original work amplified with a detailed commentary, which examines both the historical context and all aspects of entanglement. In particular, it focuses on the interpretation of quantum theory and its consequences for a basic understanding of nature.

The work published by Einstein, Podolsky and Rosen (EPR) in 1935 is a classic in modern physics. It discusses, for the first time, the central feature of the quantum theory: entanglement. In general, systems are intertwined with each other in nature; that is, they have only one common, non-divisible state. This fact is responsible for all the oddities commonly associated with quantum theory, including the famous thought experiments with Schrödinger’s cat and Wigner’s friend. The entanglement of quantum mechanics plays a central role in experiments with atoms and photons (Nobel Prize 2012 for Haroche and Wineland) and the planned construction of quantum computers. This book presents EPR’s original work amplified with a detailed commentary, which examines both the historical context and all aspects of entanglement. In particular, it focuses on the interpretation of quantum theory and its consequences for a basic understanding of nature.

It was one of the great moments of humanity when Wilhelm Conrad Röntgen (1845– 1923) discovered a new kind of radiation on 8 November 1895. He himself modestly called them “X-rays”. Röntgen’s name and his rays became world famous. On 10 December 1901, Röntgen received the first Nobel Prize in Physics. X-rays have lost none of their appeal since then. They still permeate all areas of science, technology and medicine and accompany us in our everyday lives.However, Röntgen’s scientific work cannot be reduced to this one great discovery alone. He was an excellent natural scientist, and his spirit of research is still an example for many scientists today. Röntgen’s very special interest in precision physics is also more topical than ever.This carefully curated volume offers a multifaceted view of an outstanding natural scientist and provides insights into his personal legacy.

It was one of the great moments of humanity when Wilhelm Conrad Röntgen (1845– 1923) discovered a new kind of radiation on 8 November 1895. He himself modestly called them “X-rays”. Röntgen’s name and his rays became world famous. On 10 December 1901, Röntgen received the first Nobel Prize in Physics. X-rays have lost none of their appeal since then. They still permeate all areas of science, technology and medicine and accompany us in our everyday lives.However, Röntgen’s scientific work cannot be reduced to this one great discovery alone. He was an excellent natural scientist, and his spirit of research is still an example for many scientists today. Röntgen’s very special interest in precision physics is also more topical than ever.This carefully curated volume offers a multifaceted view of an outstanding natural scientist and provides insights into his personal legacy.

This book provides an English translation of the early fundamental contributions of Lothar Meyer (1830-1895) regarding his independent discovery, coincident with that of Dmitrii Mendeleev, of the periodic system of the elements. Although an English translation of the 5th edition of Meyer´s book Modern Theories of Chemistry and their Significance for Chemical Statics was published in 1888, this will be the first time that these crucial early texts will be available in English. These writings reveal details regarding Meyer´s research pathway to the idea of periodicity and to an arrangement of the chemical elements in tables and graphs.An introductory commentary and interpolated editorial footnotes to the texts clarify the (physico)-chemical background regarding the various shifts in thought during the crucial period from 1860 to the early 1870s. A short biography of Lothar Meyer completes the book.The volume includes a complete translation of the first edition of Modern Theories of Chemistry and their Significance for Chemical Statics (1864), the ground-breaking paper “The Nature of the Chemical Elements as a Function of their Atomic Weights” in Annalen der Chemie und Pharmacie, suppl. vol. 7 (1870), 354-64, and portions of the revised second edition of Modern Theories of Chemistry and their Significance for Chemical Statics (1872).

This book provides an English translation of the early fundamental contributions of Lothar Meyer (1830-1895) regarding his independent discovery, coincident with that of Dmitrii Mendeleev, of the periodic system of the elements. Although an English translation of the 5th edition of Meyer´s book Modern Theories of Chemistry and their Significance for Chemical Statics was published in 1888, this will be the first time that these crucial early texts will be available in English. These writings reveal details regarding Meyer´s research pathway to the idea of periodicity and to an arrangement of the chemical elements in tables and graphs.An introductory commentary and interpolated editorial footnotes to the texts clarify the (physico)-chemical background regarding the various shifts in thought during the crucial period from 1860 to the early 1870s. A short biography of Lothar Meyer completes the book.The volume includes a complete translation of the first edition of Modern Theories of Chemistry and their Significance for Chemical Statics (1864), the ground-breaking paper “The Nature of the Chemical Elements as a Function of their Atomic Weights” in Annalen der Chemie und Pharmacie, suppl. vol. 7 (1870), 354-64, and portions of the revised second edition of Modern Theories of Chemistry and their Significance for Chemical Statics (1872).

Niels Bohr’s atomic theory of 1913 is one of the absolute highlights in the history of modern science. It was only with this work that physicists realized that quantum theory is an essential ingredient in atomic physics, and it was also only with this work that Rutherford’s nuclear model dating from 1911 was transformed into a proper theory of atomic structure. In a longer perspective, Bohr’s quantum atom of 1913 gave rise to the later Heisenberg-Schrödinger quantum mechanics and all its marvellous consequences. This book is a detailed account of the origin of the Bohr atom centred around his original scientific articles of 1913 which are here reproduced and provided with the necessary historical background. In addition to the so-called trilogy – the three papers published in Philosophical Magazine – also two other and less well-known yet important papers are included.The present work starts with a condensed biographical account of Bohr’s life and scientific career,from his birth in Copenhagen in 1885 to his death in the same city 77 years later. It then proceeds with a chapter outlining earlier ideas of atomic structure and tracing Bohr’s route from his doctoral dissertation in 1911 over his stays in Cambridge and Manchester to the submission in April 1913 of the first part of the trilogy. The reproduction of Bohr’s five articles is followed by notes and comments directly related to the texts, with the aim of clarifying some of the textual passages and to explicate names and subjects that may not be clear or well known. The reception of Bohr’s radically new theory by contemporary physicists and chemists is discussed in a final chapter, which deals with the immediate reactions to Bohr's theory 1913-1915 mostly among British, German and American scientists.Historians of science have long been occupied with Bohr’s atomic theory, which was the subject of careful studies in connection with its centenary in 2013. The present work offers an extensive source-based account of the original theory aimed at a non-specialist audience with an interest in the history of physics and the origin of the quantum world. In 1922 Bohr was awarded the Nobel Prize for his theory. The coming centenary will undoubtedly cause an increased interest in how he arrived at his revolutionary picture of the constitution of atoms and molecules.

Niels Bohr’s atomic theory of 1913 is one of the absolute highlights in the history of modern science. It was only with this work that physicists realized that quantum theory is an essential ingredient in atomic physics, and it was also only with this work that Rutherford’s nuclear model dating from 1911 was transformed into a proper theory of atomic structure. In a longer perspective, Bohr’s quantum atom of 1913 gave rise to the later Heisenberg-Schrödinger quantum mechanics and all its marvellous consequences. This book is a detailed account of the origin of the Bohr atom centred around his original scientific articles of 1913 which are here reproduced and provided with the necessary historical background. In addition to the so-called trilogy – the three papers published in Philosophical Magazine – also two other and less well-known yet important papers are included.The present work starts with a condensed biographical account of Bohr’s life and scientific career,from his birth in Copenhagen in 1885 to his death in the same city 77 years later. It then proceeds with a chapter outlining earlier ideas of atomic structure and tracing Bohr’s route from his doctoral dissertation in 1911 over his stays in Cambridge and Manchester to the submission in April 1913 of the first part of the trilogy. The reproduction of Bohr’s five articles is followed by notes and comments directly related to the texts, with the aim of clarifying some of the textual passages and to explicate names and subjects that may not be clear or well known. The reception of Bohr’s radically new theory by contemporary physicists and chemists is discussed in a final chapter, which deals with the immediate reactions to Bohr's theory 1913-1915 mostly among British, German and American scientists.Historians of science have long been occupied with Bohr’s atomic theory, which was the subject of careful studies in connection with its centenary in 2013. The present work offers an extensive source-based account of the original theory aimed at a non-specialist audience with an interest in the history of physics and the origin of the quantum world. In 1922 Bohr was awarded the Nobel Prize for his theory. The coming centenary will undoubtedly cause an increased interest in how he arrived at his revolutionary picture of the constitution of atoms and molecules.

Einstein's field equations of gravitation are a core element of his general theory of relativity. In four short communications to the Prussian Academy of Sciences in Berlin in November 1015, we can follow the final steps toward these equations and the resulting theory's spectacular success in accounting for the anomalous motion of Mercury's perihelion. This source book provides an expert guide to these four groundbreaking papers. Following an introductory essay placing these papers in the context of the development of Einstein's theory, it presents and analyzes, in addition to the four papers of November 1915, a careful selection of (critical excerpts from) papers, letters, and manuscripts documenting the path that early on led Einstein to the field equations of the first November 1915 paper, but then took a turn away from them only to lead back to them in the end. Drawing on extensive research at the Einstein Papers Project and the Max Planck Institute for History of Science, this volume traces the intricate interplay between considerations of physics and considerations of mathematics that guided Einstein along this path. It thus presents a concise yet authoritative account of how Einstein found his field equations, affording readers who are prepared to immerse themselves in these intricacies a unique glimpse of Einstein at work at the height of his creative prowess. Highlights of this journey in Einstein's footsteps include the crucial pages (with detailed annotation) from the Zurich Notebook, the record of Einstein's early search for field equation with his mathematician friend Marcel Grossmann, and the Einstein-Besso manuscript, documenting Einstein's attempts with his friend and confidant Michele Besso to explain the Mercury anomaly on the basis of the equations that he and Grossmann had eventually settled on in the Zurich Notebook.

Einstein's field equations of gravitation are a core element of his general theory of relativity. In four short communications to the Prussian Academy of Sciences in Berlin in November 1015, we can follow the final steps toward these equations and the resulting theory's spectacular success in accounting for the anomalous motion of Mercury's perihelion. This source book provides an expert guide to these four groundbreaking papers. Following an introductory essay placing these papers in the context of the development of Einstein's theory, it presents and analyzes, in addition to the four papers of November 1915, a careful selection of (critical excerpts from) papers, letters, and manuscripts documenting the path that early on led Einstein to the field equations of the first November 1915 paper, but then took a turn away from them only to lead back to them in the end. Drawing on extensive research at the Einstein Papers Project and the Max Planck Institute for History of Science, this volume traces the intricate interplay between considerations of physics and considerations of mathematics that guided Einstein along this path. It thus presents a concise yet authoritative account of how Einstein found his field equations, affording readers who are prepared to immerse themselves in these intricacies a unique glimpse of Einstein at work at the height of his creative prowess. Highlights of this journey in Einstein's footsteps include the crucial pages (with detailed annotation) from the Zurich Notebook, the record of Einstein's early search for field equation with his mathematician friend Marcel Grossmann, and the Einstein-Besso manuscript, documenting Einstein's attempts with his friend and confidant Michele Besso to explain the Mercury anomaly on the basis of the equations that he and Grossmann had eventually settled on in the Zurich Notebook.

This book presents a historical account of Felix Klein's "Comparative Reflections on Recent Research in Geometry" (1872), better known as his "Erlangen Program.” Originally conceived and written when Klein was collaborating with Sophus Lie, this bold essay initially made little impression on contemporary researchers. Decades later, however, it eventually became a famous classic. Eminent mathematicians hailed Klein’s main message – the role of invariants of transformation groups in geometry – as presaging major developments in mathematics and physics. The first part of this book focuses on the prehistory surrounding Klein’s “Erlangen Program,” stressing the motivations that led Klein to write it. The core of the book (Part II) then presents a new translation of Klein's original text, followed by detailed textual analysis aimed at guiding the reader through its rather terse and opaque prose. Part III deals with its complicated reception history, treated in four periods spanning the years from 1872 to 1930. This culminated during Klein’s lifetime with his efforts to promote the "Erlangen Program” as a framework for interpreting Einstein’s theory of relativity. After his death in 1925, the viability of this framework became a contentious issue among leading differential geometers. Part IV looks back on the transformations in mathematics that led to a modernized interpretation of Klein’s message. The book also explores in depth how the growing fame of the “Erlangen Program” undermined Klein’s friendship with Sophus Lie, leading to a dramatic public break between them in 1893.Beyond the "Erlangen Program” itself, this book deals with many of Felix Klein’s other works. As an introduction to a largely forgotten world of ideas, this study will appeal not only to experts but also to graduate students and all those with a serious interest in the history of modern mathematics.

This book presents a historical account of Felix Klein's "Comparative Reflections on Recent Research in Geometry" (1872), better known as his "Erlangen Program.” Originally conceived and written when Klein was collaborating with Sophus Lie, this bold essay initially made little impression on contemporary researchers. Decades later, however, it eventually became a famous classic. Eminent mathematicians hailed Klein’s main message – the role of invariants of transformation groups in geometry – as presaging major developments in mathematics and physics. The first part of this book focuses on the prehistory surrounding Klein’s “Erlangen Program,” stressing the motivations that led Klein to write it. The core of the book (Part II) then presents a new translation of Klein's original text, followed by detailed textual analysis aimed at guiding the reader through its rather terse and opaque prose. Part III deals with its complicated reception history, treated in four periods spanning the years from 1872 to 1930. This culminated during Klein’s lifetime with his efforts to promote the "Erlangen Program” as a framework for interpreting Einstein’s theory of relativity. After his death in 1925, the viability of this framework became a contentious issue among leading differential geometers. Part IV looks back on the transformations in mathematics that led to a modernized interpretation of Klein’s message. The book also explores in depth how the growing fame of the “Erlangen Program” undermined Klein’s friendship with Sophus Lie, leading to a dramatic public break between them in 1893.Beyond the "Erlangen Program” itself, this book deals with many of Felix Klein’s other works. As an introduction to a largely forgotten world of ideas, this study will appeal not only to experts but also to graduate students and all those with a serious interest in the history of modern mathematics.

This book presents William Clifford’s English translation of Bernhard Riemann’s seminal text, accompanied by detailed mathematical, historical, and philosophical commentary. It explores Riemann’s revolutionary ideas on space, placing them within the broader framework developed by later thinkers such as Helmholtz, Ricci, Weyl, and Einstein. A historical introduction situates Riemann’s work in its 19th-century context, while subsequent chapters trace the evolution of the concept of space across philosophy, physics, and mathematics, and examine its enduring influence up to modern research.The second edition includes expanded mathematical commentary, a new section on metric geometry and machine learning, a systematic bibliography, and numerous updates throughout.Appealing to mathematicians, historians, and readers with an interest in physics or philosophy, this book provides a comprehensive perspective on Riemann’s groundbreaking contributions and their lasting impact.

This book presents Thomas Robert Malthus' influential classic in the history of economic thought, "An Essay on the Principle of Population,” 6th edition (1826), marking its 200th anniversary. The critical introduction accompanying the original text in this volume explains Malthus's view that human populations grow until checked by disease, hunger, and death. Malthus moderated his initially harsher views in later editions like this one, showing how societies could adopt measures to avert the severe consequences of population pressure on resources. His initial outburst was a reaction to utopian speculations. Malthus' ideas, influencing Darwin and Wallace, continue to provoke strong reactions. This introduction suggests that dismissing Malthus stems from ignorance or misunderstanding of demographic changes.The book will be a fundamental read for experts, students, and curious readers alike.

This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work.Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of non-Euclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry.Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of non-Euclidean geometries.

This book reproduces and comments John Woodall’s handbook which was used as standard text for medical treatment at sea in the seventeenth century and was the first instruction for medical service aboard on the whole.In 1612 the East India Company, founded in London 1600 and invested with special royal privileges and authority, appointed John Woodall as its first surgeon-general, who had gained great medical experience at theatres of war abroad. Woodall was appointed the task to radically reform the medical aid on sailing ships and to supervise the education of talented ship doctors. He was the first one to establish standardized regulations concerning the provision of instruments and medicaments on board. To this end he wrote an instructive manual for ship surgeons with the title “The Surgions Mate”, published in 1617 in London and edited repeatedly until 1655, listing essential instruments and remedies for the use at sea and providing detailed annotations. The manual’s particularities include notes on the portion of paracelsian drugs, the first enema of tobacco, the treatment of gunshot wounds and the strong recommendation of lemon juice against scurvy. Moreover, descriptions of injuries, instruments, and many diseases as a result of Woodall’s extended personal observations at sea are given.The present edition of this exceptional classic includes comprehensive annotations on the first medical chest and its application on sailing ships. Also, the implications of Woodall’s achievements in regard to the development of ship medicine and pharmacy in other seafaring nations are discussed. The book will appeal to historians of medicine and interested readers alike.

This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work.Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of non-Euclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry.Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of non-Euclidean geometries.

This book features Louis Agassiz’s seminal lecture course in which the Swiss-American scientist, a self-styled “American Humboldt,” summarized the state of zoological knowledge in his time. Though Darwin’s theory of evolution would soon dismantle his idealist science, Agassiz’s lectures are nonetheless modern in their insistence on the social and cultural importance of the scientific enterprise.An extensive, well-illustrated introduction by Agassiz’s biographer, Christoph Irmscher, situates Agassiz’s lectures in the context of his life and nineteenth-century science, while also confronting the deeply problematic aspects of his legacy. Profusely annotated, this edition offers fascinating insights into the history of science and appeals to anyone with an interest in zoology and natural history. “Christoph Irmscher provides a scholarly and insightful analysis of the intentions and beliefs of Louis Agassiz, a larger-than-life scientist of the mid-19th century and fierce opponent of Charles Darwin.  One of the foremost naturalists of his time, Agassiz’s encyclopedic knowledge and brash confidence sustained bold and often controversial theories, which contributed to extreme intellectual ferment at the dawn of contemporary evolutionary biology.”  James Hanken, Alexander Agassiz Professor of Zoology, Harvard University, USA

This book reproduces and comments John Woodall’s handbook which was used as standard text for medical treatment at sea in the seventeenth century and was the first instruction for medical service aboard on the whole.In 1612 the East India Company, founded in London 1600 and invested with special royal privileges and authority, appointed John Woodall as its first surgeon-general, who had gained great medical experience at theatres of war abroad. Woodall was appointed the task to radically reform the medical aid on sailing ships and to supervise the education of talented ship doctors. He was the first one to establish standardized regulations concerning the provision of instruments and medicaments on board. To this end he wrote an instructive manual for ship surgeons with the title “The Surgions Mate”, published in 1617 in London and edited repeatedly until 1655, listing essential instruments and remedies for the use at sea and providing detailed annotations. The manual’s particularities include notes on the portion of paracelsian drugs, the first enema of tobacco, the treatment of gunshot wounds and the strong recommendation of lemon juice against scurvy. Moreover, descriptions of injuries, instruments, and many diseases as a result of Woodall’s extended personal observations at sea are given.The present edition of this exceptional classic includes comprehensive annotations on the first medical chest and its application on sailing ships. Also, the implications of Woodall’s achievements in regard to the development of ship medicine and pharmacy in other seafaring nations are discussed. The book will appeal to historians of medicine and interested readers alike.

This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.

This book features Louis Agassiz’s seminal lecture course in which the Swiss-American scientist, a self-styled “American Humboldt,” summarized the state of zoological knowledge in his time. Though Darwin’s theory of evolution would soon dismantle his idealist science, Agassiz’s lectures are nonetheless modern in their insistence on the social and cultural importance of the scientific enterprise.An extensive, well-illustrated introduction by Agassiz’s biographer, Christoph Irmscher, situates Agassiz’s lectures in the context of his life and nineteenth-century science, while also confronting the deeply problematic aspects of his legacy. Profusely annotated, this edition offers fascinating insights into the history of science and appeals to anyone with an interest in zoology and natural history. “Christoph Irmscher provides a scholarly and insightful analysis of the intentions and beliefs of Louis Agassiz, a larger-than-life scientist of the mid-19th century and fierce opponent of Charles Darwin.  One of the foremost naturalists of his time, Agassiz’s encyclopedic knowledge and brash confidence sustained bold and often controversial theories, which contributed to extreme intellectual ferment at the dawn of contemporary evolutionary biology.”  James Hanken, Alexander Agassiz Professor of Zoology, Harvard University, USA

Murray Gell-Mann, Physics Nobel Prize Laureate in 1969  is known for his theoretical work on elementary particle physics and the introduction of quarks and together with H. Fritzsch the “Quantum Chromodynamics”.Based on four sections the Editor gives an overview on the work of Gell-Mann and his contributions to various aspects of the physics, related to quarks. His most important and influential papers were selected and reprinted so that the reader easily can check the original work of Gell-Mann.

The two works titled "What Are and What Should the Numbers Be?" (1888) and "Continuity and Irrational Numbers" (1872) are Dedekind's contributions to the foundations of mathematics; therein, he laid the groundwork for set theory and the theory of real and natural numbers. These writings are indispensable in modern mathematics. However, Dedekind's achievements have not always been adequately acknowledged, and the content of these books is still little known to many mathematicians today.This volume contains not only the original texts but also a detailed analysis of the two writings and an interpretation in modern language, as well as a brief biography and a transcript of the famous letter to H. Keferstein. The extensive commentary offers a fascinating insight into the life and work of Dedekind's pioneering work and relates the latter to great contemporaries such as Cantor, Dirichlet, Frege, Hilbert, Kronecker, and Riemann.Researchers and students alike will find this work a valuable reference in the history of mathematics.